version=1 title=Khan Academy description= Khan Academy playlists /description type=video name=Khan Kickoff Pep Talk: Dominique Moceanu thumb=https://i.ytimg.com/vi/xUphhwyA3QM/default.jpg URL=http://www.youtube.com/watch?v=xUphhwyA3QM description=Olympic gold medalist Dominique Moceanu has a Khan Kickoff pep talk for your students! Join the motivational program for free - it's open to all educators: https://blog.khanacademy.org/kickoff//description type=video name=Course Mastery Tips for Students thumb=https://i.ytimg.com/vi/LlwY7fR_6eU/default.jpg URL=http://www.youtube.com/watch?v=LlwY7fR_6eU description=Learn more about Course Mastery: https://support.khanacademy.org/hc/en-us/articles/115002552631-What-are-Course-and-Unit-Mastery-/description type=video name=Official SAT Practice Tips for Students thumb=https://i.ytimg.com/vi/Jw38WchbD-4/default.jpg URL=http://www.youtube.com/watch?v=Jw38WchbD-4 description=Check out Official SAT Practice: https://www.khanacademy.org/SAT/description type=video name=Khan Kickoff Pep Talk: Tony Hawk thumb=https://i.ytimg.com/vi/OtCbbU7lQmo/default.jpg URL=http://www.youtube.com/watch?v=OtCbbU7lQmo description=Legendary skateboarder Tony Hawk has a Khan Kickoff pep talk for your students! Join the motivational program for free - it's open to all educators: https://blog.khanacademy.org/kickoff//description type=video name=Khan Kickoff Pep Talk: Akbar Gbajabiamila thumb=https://i.ytimg.com/vi/Bue8hgXgoWc/default.jpg URL=http://www.youtube.com/watch?v=Bue8hgXgoWc description=Akbar Gbajabiamila of American Ninja Warrior has a Khan Kickoff pep talk for your students as the new year dawns! Join the motivational program for free - it's open to all educators: https://blog.khanacademy.org/kickoff//description type=video name=Khan Kickoff Overview thumb=https://i.ytimg.com/vi/aGAzB633b4U/default.jpg URL=http://www.youtube.com/watch?v=aGAzB633b4U description=Khan Kickoff is a free motivation program to help any educator inspire their students to master new skills! Get started: https://blog.khanacademy.org/kickoff//description type=video name=Homeroom with Sal & Dr. Jennifer Doudna - Wednesday, January 13 thumb=https://i.ytimg.com/vi/JFD2uFmonZw/default.jpg URL=http://www.youtube.com/watch?v=JFD2uFmonZw description=What is CRISPR-Cas technology? 2020 Nobel Prize in Chemistry Winner Dr. Jennifer Doudna, joins Homeroom with Sal this Wednesday, January 10 at 12:00 pm PT / 3:00 pm ET. They'll discuss how her gene-editing discoveries could help battle COVID-19, mitigate future pandemics, and cure genetic diseases. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate Facebook evergreen: For more information visit: keeplearning.khanacademy.org/description type=video name=Primary productivity in ecosystems thumb=https://i.ytimg.com/vi/8zO0algdgNM/default.jpg URL=http://www.youtube.com/watch?v=8zO0algdgNM description=Primary productivity in ecosystems/description type=video name=Homeroom with Sal & Melinda Gates - Tuesday, January 12 thumb=https://i.ytimg.com/vi/WVJXsM_KUiQ/default.jpg URL=http://www.youtube.com/watch?v=WVJXsM_KUiQ description=Melinda Gates joins Homeroom with Sal tomorrow Jan 12 at 1:30 pm PT/4:30 pm ET to talk about the impact of the pandemic on women, equitable vaccine distribution, her solutions to empower women, and the importance of education. We’re excited to hear stories of hope and courage from Moment of Lift! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate/description type=video name=Elon Musk $5 million donation to Khan Academy thank you thumb=https://i.ytimg.com/vi/id_MB2RClG4/default.jpg URL=http://www.youtube.com/watch?v=id_MB2RClG4 description=A thank you from Sal Khan to Elon Musk for a major gift helping to ensure that humanity has access to a free, world-class education./description type=video name=Energy flow in a marine ecosystem thumb=https://i.ytimg.com/vi/fL0W_boPHLs/default.jpg URL=http://www.youtube.com/watch?v=fL0W_boPHLs description=Energy flow in a marine ecosystem/description type=video name=Khan Academy Ed Talks - Reimagining School with Sal Khan, Rachel E. Skiffer, & Kim Dow thumb=https://i.ytimg.com/vi/10q8SnMQTHY/default.jpg URL=http://www.youtube.com/watch?v=10q8SnMQTHY description=Start the new year of education off right and tune into a special Khan Academy Ed Talks live conversation: Reimagining School. This Tuesday, January 5 at 5:00 pm PT / 8:00 pm ET, Sal Khan will be joined by Rachel E. Skiffer, Head of School at Khan Lab School and Kim Dow, Head of Upper School at Khan Lab School. They’ll talk about the future of the classroom, teaching, student engagement, and will welcome of your questions. For more information about Khan Lab School visit: https://www.khanlabschool.org/admissions Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate/description type=video name=Reminder: Support Khan Academy today! thumb=https://i.ytimg.com/vi/jTIwEYeDCf8/default.jpg URL=http://www.youtube.com/watch?v=jTIwEYeDCf8 description=http://khanacademy.org/donate Khan Academy is a nonprofit supported by people like you! It’s the final days of our end of year fundraising campaign! From now until December 31, 2019, your donation will be matched dollar for dollar. Can you give to help millions of learners across the globe? Research shows that random acts of kindness like supporting organizations like Khan Academy can make you happier. So you can help millions of students, parents and teachers around the globe AND increase your happiness! Start 2021 off strong feeling good and helping Khan Academy. We never stop because learning never stops!/description type=video name=Khan Lab School thumb=https://i.ytimg.com/vi/OSLITlRlEuQ/default.jpg URL=http://www.youtube.com/watch?v=OSLITlRlEuQ description=Sal talking about Khan Lab School (http://kls.org), which is a separate non-profit from Khan Academy, reaching the milestone of its first graduating class. If you live in the Bay Area (school is based in the Mountain View-Palo Alto-Los Altos area) and are interested in the school, Sal will answer questions in the message board below./description type=video name=Khan Academy Ed Talks featuring Asst. Supt. Beth Gonzalez - Thursday, Dec. 17 thumb=https://i.ytimg.com/vi/M9DL-AJNYe0/default.jpg URL=http://www.youtube.com/watch?v=M9DL-AJNYe0 description=On the next Khan Academy Ed Talks, Sal welcomes Beth Gonzalez, Assistant Superintendent of Detroit Public Schools. Join us this Thursday at 12 pm PT / 3 pm ET to hear about what is being done to close the digital divide for students in this school district. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate/description type=video name=Khan Academy Ed Talks featuring Brooke Mabry - Wednesday, December 16 thumb=https://i.ytimg.com/vi/q9q84X3pezg/default.jpg URL=http://www.youtube.com/watch?v=q9q84X3pezg description=How is the #CovidSlide impacting our students' learning? On the next Khan Academy Ed Talk, Sal welcomes Brooke Mabry, Strategic Content Design Coordinator from NWEA this Wednesday, December 16 at 12 pm PT, 3 pm ET. They'll discuss the latest in student assessment and what can be done to keep students from falling behind. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate/description type=video name=Homeroom with Sal & Rehema Ellis - Tuesday, December 15 thumb=https://i.ytimg.com/vi/O08kMXpj6SA/default.jpg URL=http://www.youtube.com/watch?v=O08kMXpj6SA description=How did one teacher turn his kitchen into a science lab? NBC Nightly News Education Correspondent Rehema Ellis will join Homeroom with Sal this Tuesday, December 15 at 12 pm PT / 3 pm ET to share stories of how teachers are getting creative and reimagining their distance learning classrooms. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Sampling distribution of the difference in sample means | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/p24UTvbKZog/default.jpg URL=http://www.youtube.com/watch?v=p24UTvbKZog description=Sal shows how we can calculate the mean and standard deviation for the sampling distribution of the difference in sample means. Also, Sal talks about how we can tell if the shape of that sampling distribution is approximately normal. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap#xfb5d8e68:sampling-distribution-diff-means/description type=video name=Khan Academy Ed Talks featuring Dr. Jharrett Bryantt - Thursday, Dec. 10 thumb=https://i.ytimg.com/vi/TIs4t-5IOxk/default.jpg URL=http://www.youtube.com/watch?v=TIs4t-5IOxk description=Khan Academy Ed Talks continue as Sal welcomes Dr. Jharrett Bryantt, Assistant Superintendent of Houston Independent School District Join us live on Thursday, Dec. 10 at 12 pm / 3 pm ET as we discuss what is being learned about postsecondary success during the COVID pandemic. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate/description type=video name=Khan Academy Ed Talks featuring Elisa Villanueva Beard - Wednesday, December 9 thumb=https://i.ytimg.com/vi/_blookRQV38/default.jpg URL=http://www.youtube.com/watch?v=_blookRQV38 description=In a new live conversation series called #KhanAcademyEdTalks, Sal will be joined by Elisa Villanueva Beard, CEO of Teach For America, this Wednesday, December 9 at 12:00 pm PT / 3:00 pm ET. Please join us to hear how Teach For America is supporting educators and keeping students engaged in learning during the COVID pandemic. This will be the first conversation of many featuring high-profile teachers, administrators, and education thought leaders. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate/description type=video name=Be Like Sal: 3 Ways a Tablet Can Energize Your Digital Teaching! thumb=https://i.ytimg.com/vi/ITsSBEkEo0c/default.jpg URL=http://www.youtube.com/watch?v=ITsSBEkEo0c description=Two of the most common questions we've gotten this year: 1) How does Sal make those videos? 2) How can I do the same??? To help you learn all about the world of tablets and virtual whiteboards, we've brought in the experts — Wacom (which makes the tablet Sal uses) and Stacey Roshan (a math teacher and author of "Tech with Heart"). During this highly actionable session, you'll learn exactly how Sal makes his videos, how you can do the same, and even how you can use a tablet and Khan Academy to walk your students through any exercise./description type=video name=3 Mindfulness Exercises to Inspire You + Your Students thumb=https://i.ytimg.com/vi/4PXlyPY6Uzg/default.jpg URL=http://www.youtube.com/watch?v=4PXlyPY6Uzg description=2020 has been an incredibly tough year for educators and students alike. That's why we've partnered with the mindfulness experts at Headspace to bring you a highly actionable guide to meditation in the classroom. Join us to learn: -How educators are using mindfulness to destress and inspire during this challenging year -Activities that you can do with your students right away -Exercises that you can practice yourself whenever you need them/description type=video name=Breakthrough Junior Challenge Winner Reveal! Homeroom with Sal - Thursday, December 3 thumb=https://i.ytimg.com/vi/-4BaQqX871k/default.jpg URL=http://www.youtube.com/watch?v=-4BaQqX871k description=🥁 And the winner is... Join us live for a special Homeroom with Sal and past winner, Hillary Andales as they reveal this year’s Breakthrough Junior Challenge Prize winner! Watch the incredible winning video that was created and find out how it was made, this Thursday, Dec. 3 at 12 pm PT / 3 pm ET. 🎉 For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate/description type=video name=Worked example: Balancing a simple redox equation | Chemical reactions | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/MxjCto0BYd4/default.jpg URL=http://www.youtube.com/watch?v=MxjCto0BYd4 description=A redox equation can be balanced using the following stepwise procedure: (1) Divide the equation into two half-reactions. (2) Balance each half-reaction for mass and charge. (3) Equalize the number of electrons transferred in each half-reaction. (4) Add the half-reactions together. In this video, we'll use these steps to balance the redox equation for the reaction between aluminum metal and hydrogen ions. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:oxidation-reduction-redox-reactions/v/worked-example-balancing-a-simple-redox-equation Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Using oxidation numbers to identify oxidation and reduction | Khan Academy thumb=https://i.ytimg.com/vi/CsgVO0ldmQs/default.jpg URL=http://www.youtube.com/watch?v=CsgVO0ldmQs description=By assigning oxidation numbers to the atoms of each element in a redox equation, we can determine which element is oxidized and which element is reduced during the reaction. In this video, we'll use this method to identify the oxidized and reduced elements in the reaction that occurs between I⁻ and MnO₄⁻ in basic solution. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:oxidation-reduction-redox-reactions/v/worked-example-using-oxidation-numbers-to-identify-oxidation-and-reduction Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Relating reaction stoichiometry and the ideal gas law | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/FRNTJmqMko8/default.jpg URL=http://www.youtube.com/watch?v=FRNTJmqMko8 description=By combining stoichiometric calculations with the ideal gas law, we can calculate amounts of reactants and products for chemical reactions involving gases. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:stoichiometry/v/worked-example-relating-reaction-stoichiometry-and-the-ideal-gas-law Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Calculating the amount of product formed from a limiting reactant | Khan Academy thumb=https://i.ytimg.com/vi/cVqEfuJBVd8/default.jpg URL=http://www.youtube.com/watch?v=cVqEfuJBVd8 description=In a chemical reaction, the reactant that is consumed first and limits how much product can be formed is called the limiting reactant (or limiting reagent). In this video, we'll determine the limiting reactant for a given reaction and use this information to calculate the theoretical yield of product. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:stoichiometry/v/worked-example-calculating-the-amount-of-product-formed-from-a-limiting-reactant Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Calculating amounts of reactants and products | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/9ujy3qfa7jI/default.jpg URL=http://www.youtube.com/watch?v=9ujy3qfa7jI description=A balanced chemical equation shows us the numerical relationships between each of the species involved in the chemical change. Using these numerical relationships (called mole ratios), we can convert between amounts of reactants and products for a given chemical reaction. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:stoichiometry/v/worked-example-calculating-amounts-of-reactants-and-products Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Physical and chemical changes | Chemical reactions | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/3e8e0d1fWLk/default.jpg URL=http://www.youtube.com/watch?v=3e8e0d1fWLk description=Physical and chemical processes can be classified by the changes occurring on the molecular level. In general, chemical processes involve changes in chemical bonds, while physical processes involve changes only in intermolecular forces. Some processes do not fit neatly into one category: for example, when NaCl dissolves in water, ionic bonds are broken (suggesting a chemical process), but no new substances are formed (suggesting a physical process). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:physical-and-chemical-changes/v/physical-and-chemical-changes-molecular-level Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Drawing particulate models of reaction mixtures | Chemical reactions | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/kCkyk4YNUyY/default.jpg URL=http://www.youtube.com/watch?v=kCkyk4YNUyY description=A given chemical reaction can be represented using a particulate diagram, in which the reaction mixture is depicted both before the reaction occurs and after the reaction has proceeded completely as possible. To be consistent with the law of conservation of mass, the "before reaction" and "after reaction" visualizations should each contain the same numbers and types of atoms. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:representations-of-reactions/v/drawing-particulate-models-of-reaction-mixtures Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Visualizing chemical equations using particulate models | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/3UoxWEZuwp8/default.jpg URL=http://www.youtube.com/watch?v=3UoxWEZuwp8 description=A balanced chemical equation can be visualized using a particulate diagram, in which each of the atoms involved in the reaction is represented using a circle or a sphere. To be consistent with the law of conservation of mass, the diagram should depict the same numbers and types of atoms on each side of the reaction arrow. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:representations-of-reactions/v/visualizing-chemical-equations-using-particulate-models Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & John Stankey - Tuesday, December 1 thumb=https://i.ytimg.com/vi/ZX92IrP6OYA/default.jpg URL=http://www.youtube.com/watch?v=ZX92IrP6OYA description=How might we bridge the digital divide? John Stankey, CEO of AT&T, joins Sal on Homeroom this Tuesday, December 1 at 12:00 pm PT / 3:00 pm ET to discuss possible solutions and how better access to broadband can help students and teachers stay engaged in education. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Khan Academy Needs Your Help To Keep Going thumb=https://i.ytimg.com/vi/gqSgo6PUn40/default.jpg URL=http://www.youtube.com/watch?v=gqSgo6PUn40 description=http://khanacademy.org/donate Khan Academy is a nonprofit supported by people like you! Did you know that giving to others can make you happy? If you give to Khan Academy, you will be helping millions of students, parents and teachers around the world AND increasing your happiness! Even $5 can make a difference. And from now until December 31, 2020, your donation will be matched dollar for dollar! Khan Academy keeps learning going. And our supporters keep Khan Academy going. Can you support Khan Academy to help today? We never stop because learning never stops!/description type=video name=Limits of composite functions: internal limit doesn't exist | AP Calculus | Khan Academy thumb=https://i.ytimg.com/vi/XYaZgRQdV3g/default.jpg URL=http://www.youtube.com/watch?v=XYaZgRQdV3g description=Finding the limit of g(h(x)) at x=-1 when the limit of h(x) at x=-1 doesn't exist. Does it mean that the composite limit doesn't exist? Not necessarily! See how we analyze it./description type=video name=Homeroom with Sal & Eric Schmidt - Tuesday, November 17 thumb=https://i.ytimg.com/vi/1zBsx-xGS4w/default.jpg URL=http://www.youtube.com/watch?v=1zBsx-xGS4w description=How do we inspire our future leaders into a lifetime of learning and service? Eric Schmidt, co-founder of Schmidt Futures, joins Sal on Tuesday, November 17 at 12:00 pm PT / 3:00 pm ET to introduce Rise, a new program aimed at building a global community of talented young people around the world. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Limits of composite functions: external limit doesn't exist | AP Calculus | Khan Academy thumb=https://i.ytimg.com/vi/VAk50-zIes8/default.jpg URL=http://www.youtube.com/watch?v=VAk50-zIes8 description=Finding the limit of g(h(x)) at x=1 when the limit of h(x) at x=1 is 2 and the limit of g(x) at x=2 doesn't exist. Does it mean that the composite limit doesn't exist? Not necessarily! See how we analyze it./description type=video name=Finding decreasing interval given the function | Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Fk4pn8ZOy1w/default.jpg URL=http://www.youtube.com/watch?v=Fk4pn8ZOy1w description=Sal finds the intervals where the function f(x)=x⁶-3x⁵ is decreasing by analyzing the intervals where f' is positive of negative./description type=video name=Homeroom with Sal & Marley Dias - Thursday, November 12 thumb=https://i.ytimg.com/vi/rwLrkC3-6i8/default.jpg URL=http://www.youtube.com/watch?v=rwLrkC3-6i8 description=Marley Dias, author, founder of #1000BlackGirlBooks, host and executive producer of Netflix's Bookmarks: Celebrating Black Voices joins Sal on Thursday's Homeroom at 1 pm PT/ 4 pm ET with her message for today's youth in these unprecedented times. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Dan Roth - Wednesday, November 11 thumb=https://i.ytimg.com/vi/1CzHfnrezmc/default.jpg URL=http://www.youtube.com/watch?v=1CzHfnrezmc description=What impact will the global coronavorus pandemic have on the future of work, and what role can education play to prepare students for a changing workforce? Dan Roth, editor in chief of the professional networking platform LinkedIn, shares his advice on Wednesday's Homeroom at 12pm PT/3pm ET. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Example: Graphing y=-cos(π⋅x)+1.5 | Trigonometry | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/9XtCWJmKF28/default.jpg URL=http://www.youtube.com/watch?v=9XtCWJmKF28 description=Sal graphs y=-cos(π⋅x)+1.5 by thinking about the graph of y=cos(x) and analyzing how the graph (including the midline, amplitude, and period) changes as we perform function transformations to get from y=cos(x) to y=-cos(π⋅x)+1.5./description type=video name=Example: Graphing y=3⋅sin(½⋅x)-2 | Trigonometry | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/-Si4W4KyeMw/default.jpg URL=http://www.youtube.com/watch?v=-Si4W4KyeMw description=Sal graphs y=3⋅sin(½⋅x)-2 by thinking about the graph of y=sin(x) and analyzing how the graph (including the midline, amplitude, and period) changes as we perform function transformations to get from y=sin(x) to y=3⋅sin(½⋅x)-2./description type=video name=Homeroom with Sal & Margaret Spellings - Wednesday, November 3 thumb=https://i.ytimg.com/vi/JjcX-akf4Cg/default.jpg URL=http://www.youtube.com/watch?v=JjcX-akf4Cg description=Will Tuesday's election mean big changes for education in the United States? Former US Secretary of Education and President & CEO of Texas 2036, Margaret Spellings joins Sal on Homeroom on Wednesday at 12:00 pm PT. She'll share her experience and discuss the future of education, the continued pandemic, and how learning can evolve for the better. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=GoodBoy3000 | Khaffeine, an audio journey by Khan Academy thumb=https://i.ytimg.com/vi/tD1e_BaOA4U/default.jpg URL=http://www.youtube.com/watch?v=tD1e_BaOA4U description=It is the not-too-distant dystopian future. You live in the cyberpunk underbelly of Metropoluxe with your canine companion-bot GoodBoy3000. Focus virtue: GRIT in the face of repeated failure Written by Diana Rosile and Alyssa Foote Performed by Ken Jones Sound designed by David Rheinstrom Illustrated by Alyssa Foote Khaffeine is a Social and Emotional Learning-focused audio journey that revitalizes and excites learners who are looking for a sense of inspiration despite their daily challenges. Khaffeine perks you up and gets you going! It encourages the listener to believe in themselves, even—especially!—when circumstances are hardest. Sfx Attributions: “Neighborhood compost and moving trucks ambience” by Ev-Dawg, licensed under an Attribution License https://freesound.org/people/Ev-Dawg/sounds/350695/ “Slowblip” by CosmicD, licensed under an Attribution License https://freesound.org/people/CosmicD/sounds/37574/ “Machinery_hum” by Primeval_Polypod, licensed under an Attribution License https://freesound.org/people/primeval_polypod/sounds/156505/ Music: “This Bright Day” by Ketsa, licensed under an Attribution-NonCommercial-NoDerivatives 4.0 International License https://freemusicarchive.org/music/Ketsa/End_is_Beginning/This_Bright_Day “Epic cinematic” by Scott Holmes, licensed under an Attribution-NonCommercial license https://freemusicarchive.org/music/Scott_Holmes/Cinematic_Background_Music “Street Dancing” by Timecrawler 82, licensed under an Attribution License https://freemusicarchive.org/music/Timecrawler_82/Osaka_Lights/Street_Dancing “Epic Heroic Orchestral Dramatic” by SoundFlakes, licensed under an Attribution license https://freesound.org/people/SoundFlakes/sounds/423499/ “A Scent of Mysteries” by X3nus, licensed under an Attribution license https://freesound.org/people/X3nus/sounds/509680/ Other sound effects and music licensed under a Creative Commons 0 license, or original to KA staff (e.g., the GoodBoy sounds are all ours!)/description type=video name=The Lighthouse Keeper | Khaffeine, an audio journey by Khan Academy thumb=https://i.ytimg.com/vi/kEJRG-xuHi0/default.jpg URL=http://www.youtube.com/watch?v=kEJRG-xuHi0 description=You are a lighthouse keeper, which usually means the same thing day after day. But tonight is different. There’s a storm on the horizon, and you’ve got to be ready. Focus virtue: CONSISTENCY in difficult circumstances Written by David Rheinstrom and Meaghan Pattani Performed and sound designed by David Rheinstrom Illustrated by Alyssa Foote Khaffeine is a Social and Emotional Learning-focused audio journey that revitalizes and excites learners who are looking for a sense of inspiration despite their daily challenges. Khaffeine perks you up and gets you going! It encourages the listener to believe in themselves, even—especially!—when circumstances are hardest. attributions: “Waves crashing on stone jetty” by JusKiddink, licensed under an Attribution License https://freesound.org/people/juskiddink/sounds/78419/ “Fuencaliente lighthouse (La Palma, Canary Islands)” by FonotecadeCanarias, licensed under an Attribution Noncommercial License https://freesound.org/people/FonotecadeCanarias/sounds/210911/ “20130922StormOregonCoast.flac” by DaveInCamas, licensed under an Attribution Noncommercial License https://freesound.org/people/daveincamas/sounds/218515/ “Thunder, very close, Rain, A.wav” by InspectorJ, licensed under the Attribution License https://freesound.org/people/InspectorJ/sounds/360328/ “An empty gym” by Tim Kahn, licensed under an Attribution Noncommercial License https://freesound.org/people/tim.kahn/sounds/439313/ “EUROPE PILE UP_022719 PART II.m4a “by W1ZY, licensed under the Attribution License https://freesound.org/people/W1ZY/sounds/461289/ “Baltic sea waves” by Geenburg, licensed under an Attribution license https://freesound.org/people/Geenburg/sounds/532664/ “Car engine” by Moulaythami, licensed under an Attribution LIcense https://freesound.org/people/Moulaythami/sounds/536553/ Music: “Lunis the Moon” by Ketsa, licensed under an Attribution-NonCommercial-NoDerivatives 4.0 International License https://freemusicarchive.org/music/Ketsa/1111_Vol_11/Ketsa_-_1111_Vol_11_-_02_Lunis_the_Moon “Humanity” by Scott Holmes, licensed under an Attribution-NonCommercial license https://freemusicarchive.org/music/Scott_Holmes/Cinematic_Background_Music Public domain music: “Soldiers Farewell Fanfare/Montezuma/March of War/Windsor Park” by the United States Army Old Guiard Fife and Drum Corps https://freemusicarchive.org/music/The_United_States_Army_Old_Guard_Fife_and_Drum_Corps/Celebrating_50_Years/07_1250 “Danse Macabre” by Camille Saint-Saëns https://archive.org/details/DanseMacabreOp.40 Other sound effects and music licensed under a Creative Commons 0 license, or original to KA staff/description type=video name=Ask Sal Anything! Homeroom Thursday, October 29 thumb=https://i.ytimg.com/vi/QHDNxu8ieKY/default.jpg URL=http://www.youtube.com/watch?v=QHDNxu8ieKY description=We are going live for Homeroom with Sal this Thursday at noon PT / 3 pm ET! ⏰ Join us - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Theorem for limits of composite functions: when conditions aren't met | AP Calculus | Khan Academy thumb=https://i.ytimg.com/vi/eK8T3CcSvwE/default.jpg URL=http://www.youtube.com/watch?v=eK8T3CcSvwE description=Suppose we are looking for the limit of the composite function f(g(x)) at x=a. This limit would be equal to the value of f(L), where L is the limit of g(x) at x=a, under two conditions. First, that the limit of g(x) at x=a exists (and if so, let's say it equals L). Second, that f is continuous at x=L. If one of these conditions isn't met, we can't assume the limit is f(L)./description type=video name=Theorem for limits of composite functions | Limits and contiuity | AP Calculus | Khan Academy thumb=https://i.ytimg.com/vi/9Z3ngNi-12k/default.jpg URL=http://www.youtube.com/watch?v=9Z3ngNi-12k description=Suppose we are looking for the limit of the composite function f(g(x)) at x=a. This limit would be equal to the value of f(L), where L is the limit of g(x) at x=a, under two conditions. First, that the limit of g(x) at x=a exists (and if so, let's say it equals L). Second, that f is continuous at x=L. If one of these conditions isn't met, we can't assume the limit is f(L)./description type=video name=Dr. Vivek Murthy on navigating the holidays safely during Covid-19 thumb=https://i.ytimg.com/vi/iIfAqqlm6jE/default.jpg URL=http://www.youtube.com/watch?v=iIfAqqlm6jE description=Dr. Vivek Murthy will co-chair President-elect Joe Biden's coronavirus task force. He recently joined Sal to discuss how we can stay connected to our families, friends, and communities as we approach the holidays at a time of social distancing. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Geometric series as a function | Infinite sequences and series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/OzH735zyTWs/default.jpg URL=http://www.youtube.com/watch?v=OzH735zyTWs description=Power series of the form Σk(x-a)ⁿ (where k is constant) are a geometric series with initial term k and common ratio (x-a). Since we have an expression for the sum of a geometric series, we can rewrite such power series as a finite expression. Created by Sal Khan./description type=video name=Sampling distribution of the difference in sample proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/oThlns-qBaI/default.jpg URL=http://www.youtube.com/watch?v=oThlns-qBaI description=Sal shows how we can calculate the mean and standard deviation for the sampling distribution of the difference in sample proportions. Also, he talks about how to tell if the shape of that sampling distribution is approximately normal. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap#xfb5d8e68:sampling-distribution-diff-proportions./description type=video name=Sampling distribution of the difference in sample proportions -Probability example thumb=https://i.ytimg.com/vi/-Sg3F-vK_cY/default.jpg URL=http://www.youtube.com/watch?v=-Sg3F-vK_cY description=Sampling distribution of the difference in sample proportions Probability example/description type=video name=Homeroom with Sal & John Dickerson - Tuesday, October 27 thumb=https://i.ytimg.com/vi/Y-GlfZg4_Lc/default.jpg URL=http://www.youtube.com/watch?v=Y-GlfZg4_Lc description=What are the stakes for the 2020 presidential election, and how can young people become more engaged? John Dickerson, 60 Minutes correspondent, former debate moderator, and best-selling author of "The Hardest Job in the World," shares his perspective with Sal on Homeroom on Tuesday at 12pm PT/3pm ET. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Path independence for line integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/H5WNQfDSWrE/default.jpg URL=http://www.youtube.com/watch?v=H5WNQfDSWrE description=Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/closed-curve-line-integrals-of-conservative-vector-fields?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/vector-field-line-integrals-dependent-on-path-direction?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geometric distribution mean and standard deviation | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/XKCeLA4UsXw/default.jpg URL=http://www.youtube.com/watch?v=XKCeLA4UsXw description=Sal uses an example to show how we can calculate and interpret the mean and standard deviation for the distribution of a geometric random variable, and describe its shape. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/random-variables-ap#geometric-random-variable/description type=video name=Worked example: Calculating the maximum wavelength capable of ionization | Khan Academy thumb=https://i.ytimg.com/vi/BR7Svm1s8fs/default.jpg URL=http://www.youtube.com/watch?v=BR7Svm1s8fs description=If a photon has enough energy, it can completely remove an electron from an atom or molecule. In this video, we'll use the light equations (E = h𝜈 and c = 𝜆𝜈) to calculate the longest photon wavelength capable of removing an electron from a single atom of silver. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:electronic-transitions-in-spectroscopy/v/worked-example-calculating-the-maximum-wavelength-capable-of-ionization Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Column chromatography | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/UHF1HXdkrZQ/default.jpg URL=http://www.youtube.com/watch?v=UHF1HXdkrZQ description=Column chromatography applies the same principles as TLC on a larger scale. In column chromatography, a glass column is filled with a stationary phase (typically silica gel), and the mixture of compounds to be separated is placed on top. Then, a mobile phase (solvent) is passed through the column from top to bottom. As with TLC, the rate at which each compound in the mixture moves down the column depends on its relative attractions to the stationary and mobile phases. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:separation-of-solutions-and-mixtures-chromatography/v/column-chromatography-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=7 Tips for Motivating Middle School and High School Kids During Distance Learning thumb=https://i.ytimg.com/vi/JLh0_ZvPVJo/default.jpg URL=http://www.youtube.com/watch?v=JLh0_ZvPVJo description=Many parents have told us that motivating their kids to stay focused and engaged during distance learning is a challenge. We're thrilled to have Kristen DiCerbo, Khan Academy’s Chief Learning Officer, tackle this topic. She'll share some of the best tips to motivate elementary school kids drawn straight from educational psychology research. You can view the handout from the webinar here: http://khan.co/7TipsParentWebinar. Aquí puedes verlo en español: https://bit.ly/3dNTSX2 Kristen also references this link during her presentation: English: https://www.khanacademy.org/partner-content/learnstorm-growth-mindset-activities-us Español: https://es.khanacademy.org/partner-content/learnstorm-growth-mindset-activities-us/description type=video name=Simpson's index of diversity | Ecology | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/bfxhh7l-LQw/default.jpg URL=http://www.youtube.com/watch?v=bfxhh7l-LQw description=Species number and relative abundance affect the diversity of a community. We can use Simpson's index of diversity to quantify and compare the diversity of different communities. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/ecology-ap/community-ecology/v/simpsons-index-of-diversity Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Pedro Noguera - Wednesday, October 21 thumb=https://i.ytimg.com/vi/ynkH6z3LDJM/default.jpg URL=http://www.youtube.com/watch?v=ynkH6z3LDJM description=How will the coronavirus pandemic reshape education, and how do we build a more equitable future for students? Pedro Noguera, Dean of the Rossier School of Education at the University of Southern California, shares his perspective with Sal on Wednesday's Homeroom at 12pm PT/3pm ET. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Ask Sal Anything! Homeroom with Sal - Tuesday, October 19 thumb=https://i.ytimg.com/vi/iF-Qhcg7tPU/default.jpg URL=http://www.youtube.com/watch?v=iF-Qhcg7tPU description=We are going live with Sal Khan this Tuesday at noon PT / 3 pm ET! ⏰ Join us for Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Laurie Santos, PhD - Thursday, October 15 thumb=https://i.ytimg.com/vi/aDi7dFWNrV0/default.jpg URL=http://www.youtube.com/watch?v=aDi7dFWNrV0 description=How can you maintain and nourish your emotional and mental well-being amidst the global pandemic? Laurie Santos, PhD, who teaches the popular “Psychology and the Good Life” class at Yale University, shares her advice with Sal on Homeroom on Thursday at 12pm PT/3pm ET. Dr. Santos also has a podcast - The Happiness Lab. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Arne Duncan - Wednesday, October 14 thumb=https://i.ytimg.com/vi/3aUem18zr2I/default.jpg URL=http://www.youtube.com/watch?v=3aUem18zr2I description=**Portions of this video were edited out to remove technical glitches from the live broadcast. More and more schools are allowing in-class instruction, but is enough being done for teachers and students to feel safe? Former Secretary of Education and current Managing Partner of Chicago CRED, Arne Duncan joins Sal on Homeroom this Wednesday, October 14 at 12 pm PT / 3 pm ET, to discuss school safety. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=The van der Waals equation | Khan Academy thumb=https://i.ytimg.com/vi/9_epJ4vUsNI/default.jpg URL=http://www.youtube.com/watch?v=9_epJ4vUsNI description=By adding corrections for interparticle attractions and particle volumes to the ideal gas law, we can derive a new equation that more accurately describes real gas behavior. This equation, known as the van der Waals equation, can be used to calculate the properties of a gas under non-ideal conditions. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/gases-and-kinetic-molecular-theory/non-ideal-gas-behavior/v/van-der-waals-equation Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Katy Knight - Tuesday, October 13 thumb=https://i.ytimg.com/vi/UGKe6CNWbqw/default.jpg URL=http://www.youtube.com/watch?v=UGKe6CNWbqw description=How can we reimagine infrastructure to develop a more resilient, equitable, and prosperous society? Katy Knight, Executive Director of Siegel Family Endowment, joins Sal live on Homeroom on Tuesday, October 13 to discuss a new framework for understanding the connections between physical, social, and digital infrastructure, and how it can help us address some of the most pressing challenges facing society today. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Electronic transitions and energy | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ukYSvaRyE3c/default.jpg URL=http://www.youtube.com/watch?v=ukYSvaRyE3c description=Electronic transitions occur in atoms and molecules due to the absorption or emission of electromagnetic radiation (typically UV or visible). The energy change associated with a transition is related to the frequency of the electromagnetic wave by Planck's equation, E = h𝜈. In turn, the frequency of the wave is related to its wavelength and the speed of light by the equation c = 𝜆𝜈. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:electronic-transitions-in-spectroscopy/v/electronic-transitions-and-energy Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Spectrophotometry and the Beer-Lambert Law | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/fJRJLUYZe9c/default.jpg URL=http://www.youtube.com/watch?v=fJRJLUYZe9c description=Spectrophotometry is a technique that uses light absorption to measure the concentration of an analyte in solution. The amount of light absorbed by a solution is related to the analyte concentration by the Beer-Lambert law, which is expressed as follows: A = εbc, where ε is the molar absorptivity of the analyte, b is the path length (the distance the light travels through the solution), and c is the concentration of the analyte. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:beer-lambert-law/v/spectrophotometry-introduction Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Calculating concentration using the Beer-Lambert law | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/pbbHg_9zFbI/default.jpg URL=http://www.youtube.com/watch?v=pbbHg_9zFbI description=The Beer-Lambert law relates the absorption of light by a solution to the properties of the solution according to the following equation: A = εbc, where ε is the molar absorptivity of the absorbing species, b is the path length, and c is the concentration of the absorbing species. In this video, we'll use the Beer-Lambert law to calculate the concentration of KMnO₄ in an unknown solution. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:beer-lambert-law/v/spectrophotometry-example Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to spectroscopy | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/LYseY0y2tgg/default.jpg URL=http://www.youtube.com/watch?v=LYseY0y2tgg description=Spectroscopy is the study of the interaction of light and matter. Many types of spectroscopy rely on the ability of atoms and molecules to absorb or emit electromagnetic (EM) radiation. The absorption or emission of different forms of EM radiation is related to different types of transitions. Microwave radiation is associated with molecular rotational transitions, infrared radiation is associated with molecular vibrational transitions, and UV/visible radiation is associated with electronic transitions. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:spectroscopy-and-the-electromagnetic-spectrum/v/introduction-to-spectroscopy Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Real gases: Deviations from ideal behavior | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/UABFOI1sb7A/default.jpg URL=http://www.youtube.com/watch?v=UABFOI1sb7A description=In this video, we examine the conditions under which real gases are most likely to deviate from ideal behavior: low temperatures and high pressures (small volumes). At low temperatures, attractions between gas particles cause the particles to collide less often with the container walls, resulting in a pressure lower than the ideal gas value. At high pressures (small volumes), finite particle volumes lower the actual volume available to the gas particles, resulting in a pressure higher than the ideal gas value. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:deviation-from-ideal-gas-law/v/real-gases-deviations-from-ideal-behavior Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=7 Tips for Motivating Elementary School Kids During Distance Learning thumb=https://i.ytimg.com/vi/TqedL7WAT6M/default.jpg URL=http://www.youtube.com/watch?v=TqedL7WAT6M description=Many parents have told us that motivating their kids to stay focused and engaged during distance learning is a challenge. We're thrilled to have Kristen DiCerbo, Khan Academy’s Chief Learning Officer, tackle this topic. She shares some of the best tips to motivate elementary school kids drawn straight from educational psychology research. You can view the handout from the webinar here: http://khan.co/7TipsParentWebinar For more motivational tips and advice on distance learning, check out our distance learning guide for parents and caregivers: https://keeplearning.khanacademy.org/distance-learning-guide/description type=video name=Homeroom with Sal & Superintendent Austin Beutner - Wednesday, September 30 thumb=https://i.ytimg.com/vi/OrRdBzRSaX8/default.jpg URL=http://www.youtube.com/watch?v=OrRdBzRSaX8 description=What is it like to manage the nation's second largest school district? Austin Beutner, Superintendent of Los Angeles Unified School District, joins Sal Wednesday at 12 pm PT, 3 pm ET to talk about safety nets, online learning, COVID-19 testing, and enlisting support for public schools. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Types of studies | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/zmXBbHDUgY4/default.jpg URL=http://www.youtube.com/watch?v=zmXBbHDUgY4 description=Sal distinguishes between experiments and observational studies, and further describes types of observational studies: retrospective, prospective, and sample surveys. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/gathering-data-ap#sampling-observational-studies/description type=video name=Homeroom with Sal & Lisa Damour PhD - Tuesday, September 29 thumb=https://i.ytimg.com/vi/3U0qqbq-Mts/default.jpg URL=http://www.youtube.com/watch?v=3U0qqbq-Mts description=How can families and educators protect the emotional and mental well-being of their kids this school year? How can parents help if their children are struggling to learn? Lisa Damour, psychologist and New York Times columnist, will share all her advice on Tuesday's Homeroom with Sal at 12pm PT / 3pm ET. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Influential points in regression | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/jHHPGhrcMOY/default.jpg URL=http://www.youtube.com/watch?v=jHHPGhrcMOY description=Sal shows how outliers and high-leverage points can be influential to different measurements like the slope, y-intercept, and correlation coefficient (r) in least-squares regression. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap#assessing-fit-least-squares-regression/description type=video name=Systematic random sampling | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/TrOS8OnM1u4/default.jpg URL=http://www.youtube.com/watch?v=TrOS8OnM1u4 description=Sal explains systematic random sampling, which is where we arrange members of a population in some order, pick a random starting point, and select every member in a set interval. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/gathering-data-ap#sampling-methods/description type=video name=🎉100th show! 🎉 Homeroom with Sal & Tabatha Rosproy - Thursday, September 24 thumb=https://i.ytimg.com/vi/MBitrG8RK5U/default.jpg URL=http://www.youtube.com/watch?v=MBitrG8RK5U description=Thursday marks our 100th Homeroom show! Sal talks to 2020 National Teacher of the Year Tabatha Rosproy about teaching during the pandemic, and the solutions that have worked for her preschool students. Join us Thursday at noon PT / 3 pm ET. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Kristen DiCerbo PhD - Wednesday, September 23 thumb=https://i.ytimg.com/vi/54DYSPW4kn4/default.jpg URL=http://www.youtube.com/watch?v=54DYSPW4kn4 description=What's the science behind being motivated? What do we know about nurturing independent learners? Join Sal and Dr. Kristen DiCerbo, PhD, Chief Learning Officer for Khan Academy for live Q&A on all things learning. Wednesday at noon PT/ 3 pm ET. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Analyzing mosaic plots | Exploring two-variable data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/2sHkluggZp8/default.jpg URL=http://www.youtube.com/watch?v=2sHkluggZp8 description=We can use mosaic plots to draw conclusions about relationships between two categorical variables. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap#xfb5d8e68:mosaic-plots/description type=video name=Mosaic plots and segmented bar charts | Exploring two-variable data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/b9G5pWuxb1Y/default.jpg URL=http://www.youtube.com/watch?v=b9G5pWuxb1Y description=Sal uses an example to show how we can display categorical data from a two-way table with a segmented bar chart and then a mosaic plot. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap#xfb5d8e68:mosaic-plots/description type=video name=Thin-layer chromatography (TLC) | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/GOWUw0-SEDE/default.jpg URL=http://www.youtube.com/watch?v=GOWUw0-SEDE description=Thin-layer chromatography (TLC) is a technique used to separate mixtures of compounds based on differences in polarity. In TLC, a glass plate coated with a stationary phase (typically silica gel) is spotted with the mixture to be separated. The plate is then placed in a mobile phase (solvent), which travels up the plate by capillary action. The rate at which each compound in the mixture moves up the plate depends on its relative attractions to the stationary and mobile phases. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:separation-of-solutions-and-mixtures-chromatography/v/thin-layer-chromatography-tlc Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask Sal Anything! Homeroom - Tuesday, September 22 thumb=https://i.ytimg.com/vi/UW8cH0Aa0_Y/default.jpg URL=http://www.youtube.com/watch?v=UW8cH0Aa0_Y description=We are going live with Sal Khan tomorrow at noon PT / 3 pm ET! ⏰ Join us for Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=social&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Distillation curves | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Aaz99lyLBf8/default.jpg URL=http://www.youtube.com/watch?v=Aaz99lyLBf8 description=The progress of a distillation can be represented using a distillation curve, which plots temperature versus volume of distillate collected. In this video, we'll learn how to interpret the various regions of a distillation curve for the fractional distillation of a 1:1 mixture of methyl and propyl acetate. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:separation-of-solutions-and-mixtures-chromatography/v/distillation-curves Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Measuring lengths in different units thumb=https://i.ytimg.com/vi/9dur4s-4lhk/default.jpg URL=http://www.youtube.com/watch?v=9dur4s-4lhk description=Measuring lengths in different units/description type=video name=Homeroom with Sal & Jeffrey Rosen - Thursday, September 17 thumb=https://i.ytimg.com/vi/Y3igqH4Yays/default.jpg URL=http://www.youtube.com/watch?v=Y3igqH4Yays description=September 17 is Constitution Day, which marks the signing of the most influential document in our history. On Thursday's Homeroom at 12pm PT, Sal talks to National Constitution Center President and CEO Jeffrey Rosen about how the Founding Fathers came together on this day two hundred and thirty three years ago, and the importance of civics in our education. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=How to Keep Your Child Learning & Happy! at Home thumb=https://i.ytimg.com/vi/2XQdVMqAAsg/default.jpg URL=http://www.youtube.com/watch?v=2XQdVMqAAsg description=Parents, are you looking for ways to keep your young children (ages 2-7) engaged in learning while at home? Join us for a fireside chat with Caroline Hu Flexer, CEO and Co-Founder of Khan Academy Kids, and Renee Scott, an Early Education Program director at Stanford University. Caroline and Renee cover some easy ways to boost learning throughout the day. They also discuss how to incorporate key language, literacy, numeracy, and social emotional skills into everyday activities and play. And, you’ll likely be surprised that you’re already doing some of these brain boosting activities. View the webinar handout here: https://khankids.zendesk.com/hc/en-us... View our Weekly Planner here: http://khan.co/KhanKids-WeeklyPlanner Learn more about Khan Academy Kids, our free educational app for children ages 2-7 at http://www.khankids.org. Download now! http://khan.co/KhanKids-YT-Google http://khan.co/KhanKids-YT-Apple http://khan.co/KhanKids-YT-Amazon/description type=video name=Population diversity and resilience | Natural selection | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/3NdTUkjwehs/default.jpg URL=http://www.youtube.com/watch?v=3NdTUkjwehs description=The higher the genetic diversity in a population, the more resilient the population is to environmental change. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/natural-selection/variations-in-populations/v/population-diversity-and-resilience Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Measuring area with tiled square units thumb=https://i.ytimg.com/vi/iNZZIb_-PA8/default.jpg URL=http://www.youtube.com/watch?v=iNZZIb_-PA8 description=Measuring area with tiled square units/description type=video name=Ask Sal Anything! Homeroom Tuesday, September 15 thumb=https://i.ytimg.com/vi/pqfCJCBBlXU/default.jpg URL=http://www.youtube.com/watch?v=pqfCJCBBlXU description=We are going live with Sal Khan this Tuesday at noon PT / 3 pm ET! ⏰ Join us for Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & David C. Banks - Thursday, September 10 thumb=https://i.ytimg.com/vi/P7D4E2sQTq4/default.jpg URL=http://www.youtube.com/watch?v=P7D4E2sQTq4 description=What are effective ways of educating young men of color? David C. Banks, a visionary educator and President of The Eagle Academy Foundation, speaks with Sal on empowering at-risk young men to learn, succeed, and develop character. Join us Thursday at 12 pm PT. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=7 Tips for Motivating Students During Distance Learning thumb=https://i.ytimg.com/vi/frgduiVfVno/default.jpg URL=http://www.youtube.com/watch?v=frgduiVfVno description=You told us in this summer’s survey that the #1 challenge with distance learning is keeping students motivated. As such, we're thrilled to have Kristen DiCerbo, Khan Academy’s Chief Learning Officer, tackle that very topic. She'll share some of the best motivational tips drawn straight from educational psychology research. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Homeroom with Sal & Dave Travis - Wednesday, September 9 thumb=https://i.ytimg.com/vi/fQUeje_oygM/default.jpg URL=http://www.youtube.com/watch?v=fQUeje_oygM description=Students, are you preparing for the SAT this fall? Get tips on effective SAT prep strategies from Sal and Dave Travis, our SAT expert. Join us Wednesday at 12 pm PT. Featuring live Q&A For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Modeling with multiple variables: Ice cream | Modeling | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/_auAZcmJF3M/default.jpg URL=http://www.youtube.com/watch?v=_auAZcmJF3M description=Modeling the relationship between three quantities (or more) isn't that different from modeling the relationship between two quantities. Here is an example of a model that relates different quantities related to two people walking to the same ice cream shop./description type=video name=Modeling with multiple variables: Taco stand | Modeling | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/YvuW40fpptI/default.jpg URL=http://www.youtube.com/watch?v=YvuW40fpptI description=Modeling the relationship between three quantities (or more) isn't that different from modeling the relationship between two quantities. Here is an example of a model that relates different quantities related to the daily profits of a taco stand./description type=video name=Khan Academy Needs Your Help This Back to School thumb=https://i.ytimg.com/vi/kmN1QEU_lf4/default.jpg URL=http://www.youtube.com/watch?v=kmN1QEU_lf4 description=http://khanacademy.org/donate Khan Academy is a non profit organization supported by philanthropic donations. Demand for Khan Academy has spiked due to COVID-19. This back to school season, we’re providing tools for parents, teachers and students to help keep children learning and motivated while schools are closed — for FREE! We can’t do it without your help. Even $5 can make a difference. Can you support Khan Academy to help #KeepEveryoneLearning today?/description type=video name=Homeroom with Sal & Tom Inglesby, MD - Tuesday, September 8 thumb=https://i.ytimg.com/vi/XJGLFZZqi9k/default.jpg URL=http://www.youtube.com/watch?v=XJGLFZZqi9k description=How can schools and families create safe learning environments for students amidst the coronavirus? Tom Inglesby, MD, the director of the Center For Health Security of the Johns Hopkins School of Public Health, joins Sal on Homeroom on Tuesday at 12pm PT with his expert advice, and what we can learn from other countries. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Powers of zero | Exponents, radicals, and scientific notation | Pre-algebra | Khan Academy thumb=https://i.ytimg.com/vi/S2PjhiAQMK8/default.jpg URL=http://www.youtube.com/watch?v=S2PjhiAQMK8 description=Any non-zero number to the zero power equals one. Zero to any positive exponent equals zero. So, what happens when you have zero to the zero power? View more lessons or practice this subject at https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Chancellor Robert J. Jones - Thursday, September 3 thumb=https://i.ytimg.com/vi/UBKKTfsYVQ4/default.jpg URL=http://www.youtube.com/watch?v=UBKKTfsYVQ4 description=The program of rigorous COVID-19 testing and tracing at the University of Illinois at Urbana-Champaign is being closely watched around the country. Chancellor Robert J. Jones joins Sal on Homeroom today at 12:30pm PT, to discuss his university's approach to reopening campus, the lessons it might offer for other academic institutions, and his advice to all students in these challenging times. For more information visit: keeplearning.khanacademy.org/description type=video name=Khan Academy Student Demo thumb=https://i.ytimg.com/vi/4OF7o2nrXeg/default.jpg URL=http://www.youtube.com/watch?v=4OF7o2nrXeg description=There’s no better way for teachers to learn Khan than by experiencing it as a student. So if you want the ultimate Khan crash course, come join my demo class. You’ll get to: -Go through the registration process -See what an assignment looks like -Try out a Course Mastery goal And most importantly, you’ll be ready for that inevitable question: “Umm… where do I go to do that?”/description type=video name=Homeroom with Sal & Eduardo Cetlin - Wednesday, September 2 thumb=https://i.ytimg.com/vi/xvC-3h6OweQ/default.jpg URL=http://www.youtube.com/watch?v=xvC-3h6OweQ description=How are we preparing the next generation of scientists? Tune in Wednesday at noon PT as Eduardo Cetlin, president of the Amgen Foundation, joins Sal on Homeroom. They’ll discuss what makes for excellent science education and how to support equity in education. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Challenges of naturalization | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/rQzMYkMZmks/default.jpg URL=http://www.youtube.com/watch?v=rQzMYkMZmks description=What challenges do immigrants face in the naturalization process? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high- school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The naturalization process | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/NJk_ZOUpvl0/default.jpg URL=http://www.youtube.com/watch?v=NJk_ZOUpvl0 description=What are the steps of the naturalization process? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Who is eligible for naturalization? | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/gM15QCuHWMo/default.jpg URL=http://www.youtube.com/watch?v=gM15QCuHWMo description=What requirements must an immigrant meet in order to be eligible for naturalization in the United States? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Civic engagement | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/387o7cyj40g/default.jpg URL=http://www.youtube.com/watch?v=387o7cyj40g description=Civic engagement describes the actions of local leaders and residents to improve their community and the lives of community members. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Service in the United States | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/VBRlnO1BbcU/default.jpg URL=http://www.youtube.com/watch?v=VBRlnO1BbcU description=How can young people serve their communities? Examples of both military and civil service. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Models of citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/1HRl5nEOwGM/default.jpg URL=http://www.youtube.com/watch?v=1HRl5nEOwGM description=Comparing different models of what it means to be a good citizen. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Citizenship and voting rights of indigenous people | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/b4vLXhf7vYk/default.jpg URL=http://www.youtube.com/watch?v=b4vLXhf7vYk description=A brief overview of the evolution of citizenship and voting rights for indigenous people in the United States. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The 19th Amendment and citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/LS2Av3F-8iM/default.jpg URL=http://www.youtube.com/watch?v=LS2Av3F-8iM description=How did the 19th Amendment affect citizenship rights in the United States? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Citizenship in the US territories and District of Columbia | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/SIT637hrMOo/default.jpg URL=http://www.youtube.com/watch?v=SIT637hrMOo description=How do citizenship rights differ for Americans living in US territories or the District of Columbia? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Dred Scott case and citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/U3vK0RuwZMc/default.jpg URL=http://www.youtube.com/watch?v=U3vK0RuwZMc description=What effect did the US Supreme Court case Dred Scott v. Sandford have on citizenship rights in the United States? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Citizenship in early America, 1789-1830s | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/XTubp0aUTEA/default.jpg URL=http://www.youtube.com/watch?v=XTubp0aUTEA description=A brief overview of the evolution of citizenship rights in early America. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Citizenship in early America, 1840s-1870s | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/SMvZkK02ipI/default.jpg URL=http://www.youtube.com/watch?v=SMvZkK02ipI description=A brief overview of the evolution of citizenship rights in the United States. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Economic rights of citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/j_XrGo15iBc/default.jpg URL=http://www.youtube.com/watch?v=j_XrGo15iBc description=What are the economic rights of citizens? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Political rights of citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/jCP23_xNf1A/default.jpg URL=http://www.youtube.com/watch?v=jCP23_xNf1A description=What are the political rights of citizens? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Personal rights of citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/AG6SiMEK1tk/default.jpg URL=http://www.youtube.com/watch?v=AG6SiMEK1tk description=What are the personal rights of citizenship? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Obligations of citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/VjPE5JTGjXE/default.jpg URL=http://www.youtube.com/watch?v=VjPE5JTGjXE description=Obligations of citizenship include those duties that citizens are required to fulfill or face punishment by law. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high- school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Responsibilities of citizenship | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/Tms0TgD_97g/default.jpg URL=http://www.youtube.com/watch?v=Tms0TgD_97g description=What should citizens do to be good and productive members of society? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Civil society | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/b6_YVsuyUEM/default.jpg URL=http://www.youtube.com/watch?v=b6_YVsuyUEM description=Civil society is a public space between the state, the market, and the ordinary household, in which people can debate and take action. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Civic life, private life, politics, and government | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/4Xn5DqJzhJk/default.jpg URL=http://www.youtube.com/watch?v=4Xn5DqJzhJk description=What's the difference between civic life and private life? What's the difference between politics and government? View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=What is citizenship? | Citizenship | High school civics | Khan Academy thumb=https://i.ytimg.com/vi/JVXQvJvfuGw/default.jpg URL=http://www.youtube.com/watch?v=JVXQvJvfuGw description=A person has citizenship as a member of a state, which confers on them rights, responsibilities, and privileges. An individual practices good citizenship by being an informed and active member of a political community. View more lessons or practice this subject at: https://www.khanacademy.org/humanities/high-school-civics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask Sal Anything! Homeroom - Thursday August 27 thumb=https://i.ytimg.com/vi/P6DKlpS58NE/default.jpg URL=http://www.youtube.com/watch?v=P6DKlpS58NE description=We are going live with Sal Khan this Thursday at noon PT / 3 pm ET! ⏰ Join us for Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Khan Academy Sample Zoom Class thumb=https://i.ytimg.com/vi/9PMpb4t6Ljo/default.jpg URL=http://www.youtube.com/watch?v=9PMpb4t6Ljo description=Want to see how to integrate Khan Academy with your live video sessions? I'm going to teach a sample lesson to show you how to: -Reduce lecture time during live sessions -Make your sessions highly interactive -Drill down on the areas where your students need the most help PS: Our advice is video conference platform agnostic. So whether you use Zoom, Google Meet, WebEx, or anything else, all the advice will still apply! *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Distillation | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/CC8-yVzhWI4/default.jpg URL=http://www.youtube.com/watch?v=CC8-yVzhWI4 description=Distillation is the process of separating the components of a liquid mixture through selective evaporation and condensation. The basis of separation is the difference in the vapor pressures (volatilities) of the respective components. To improve the separation in a distillation, chemists often use a fractionating column, which allows for multiple cycles of evaporation and condensation (this is known as fractional distillation). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:separation-of-solutions-and-mixtures-chromatography/v/distillation Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Solubility and intermolecular forces | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ccDKr4TIWfk/default.jpg URL=http://www.youtube.com/watch?v=ccDKr4TIWfk description=Substances with similar polarities tend to be soluble in one another ("like dissolves like"). Nonpolar substances are generally more soluble in nonpolar solvents, while polar and ionic substances are generally more soluble in polar solvents. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:solubility/v/solubility Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Congresswoman Karen Bass - Wednesday, August 26 thumb=https://i.ytimg.com/vi/j-KZgQdg0-g/default.jpg URL=http://www.youtube.com/watch?v=j-KZgQdg0-g description=To mark #WomensEqualityDay on Wednesday, Sal will talk to California Rep. Karen Bass, who heads the Congressional Black Caucus and was the first Black woman speaker of a state legislature. Rep. Bass will discuss the milestone of the 100th anniversary of the ratification of the 19th Amendment, lessons from that period in history, and what it will take to achieve true gender equality. Join us at 1:00 pm PT on Aug. 26. For more information visit: keeplearning.khanacademy.org/description type=video name=Homeroom with Sal & John B. King Jr. - Tuesday, August 25 thumb=https://i.ytimg.com/vi/L73_aw5so7Y/default.jpg URL=http://www.youtube.com/watch?v=L73_aw5so7Y description=How can school and district leaders create safe and equitable learning environments in the new academic year? John B. King Jr., who served as Secretary of Education under President Obama and now heads the nonprofit Education Trust, will share his perspective with Sal on Tuesday at noon PT on Homeroom. For more information visit: keeplearning.khanacademy.org/description type=video name=The kinetic molecular theory of gases | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/HkSXiHz9vUc/default.jpg URL=http://www.youtube.com/watch?v=HkSXiHz9vUc description=The kinetic molecular theory (KMT) describes the behavior of ideal gases at the particle level. The five main postulates of the KMT are as follows: (1) the particles in a gas are in constant, random motion, (2) the combined volume of the particles is negligible, (3) the particles exert no forces on one another, (4) any collisions between the particles are completely elastic, and (5) the average kinetic energy of the particles is proportional to the temperature in kelvins. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:kinetic-molecular-theory/v/the-kinetic-molecular-theory-of-gases Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Kinetic molecular theory and the gas laws | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/F6lhYxV6gEY/default.jpg URL=http://www.youtube.com/watch?v=F6lhYxV6gEY description=The kinetic molecular theory (KMT) can be used to explain the macroscopic behavior of ideal gases. In this video, we'll see how the KMT accounts for the properties of gases as described by the various gas laws (Boyle's law, Gay-Lussac's law, Charles's law, Avogadro's law, and Dalton's law of partial pressures). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:kinetic-molecular-theory/v/kinetic-molecular-theory-and-the-gas-laws Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Linda Darling-Hammond - Thursday, August 20 thumb=https://i.ytimg.com/vi/q6QLjNEyrAI/default.jpg URL=http://www.youtube.com/watch?v=q6QLjNEyrAI description=How are states like California planning for the school year? Linda Darling-Hammond, president of California’s State Board of Education, will join Homeroom with Sal on Thursday at noon PT to discuss the upcoming school year and the future of education. Get your questions answered by one of the nation’s most respected education leaders and a leading scholar on education policy and practice. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Dan Tieu & Sophie Turnbull - Wednesday, August 19 thumb=https://i.ytimg.com/vi/GzyF0ZW6aEI/default.jpg URL=http://www.youtube.com/watch?v=GzyF0ZW6aEI description=It’s back to school season! Whether your school is starting out 100% virtual, hybrid, or fully on-campus, we’re here for you. Our team is excited to share new resources and programs for students, parents, and teachers to have a successful school year. Dan Tieu of Khan Academy and Sophie Turnbull of Khan Academy Kids will join Sal on Wednesday at noon PT to share how we’re here to keep everyone learning and to answer your questions. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Representing solutions using particulate models | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/NFcSRjLgDTk/default.jpg URL=http://www.youtube.com/watch?v=NFcSRjLgDTk description=A solution is a homogeneous mixture composed of two or more pure substances. In this video, we'll learn how to represent the relative concentrations of the substances in a solution as well as the interactions between them using a particulate model. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:representations-of-solutions/v/representing-solutions-using-particulate-models Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Molarity | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/L-Uhyjt8t10/default.jpg URL=http://www.youtube.com/watch?v=L-Uhyjt8t10 description=The most common way to express solution concentration is molarity (M), which is defined as the amount of solute in moles divided by the volume of solution in liters: M = moles of solute/liters of solution. A solution that is 1.00 molar (written 1.00 M) contains 1.00 mole of solute for every liter of solution. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:solutions-and-mixtures/v/molarity Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dilution | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/T3H7YZ6-fto/default.jpg URL=http://www.youtube.com/watch?v=T3H7YZ6-fto description=A common method of making a solution of a given concentration involves taking a more concentration solution and adding water until the desired concentration is reached. This process is known as dilution. We can relate the concentrations and volumes before and after a dilution using the following equation: M₁V₁ = M₂V₂ where M₁ and V₁ represent the molarity and volume of the initial concentrated solution and M₂ and V₂ represent the molarity and volume of the final diluted solution. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:solutions-and-mixtures/v/dilution Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Martha S. Jones - 19th Amendment and Women's Voting Rights thumb=https://i.ytimg.com/vi/0hdKLilBRxY/default.jpg URL=http://www.youtube.com/watch?v=0hdKLilBRxY description=On the 100th anniversary of the 19th Amendment, we are celebrating and learning about the history of women’s voting rights with Martha Jones, JD, PhD, as our guest on Homeroom With Sal. As a historian, writer, and commentator, Jones focuses on how black Americans have shaped the history of American democracy. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Types of mixtures | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/HgD6a4TVxLY/default.jpg URL=http://www.youtube.com/watch?v=HgD6a4TVxLY description=A mixture is composed of one or more pure substances in varying composition. There are two types of mixtures: heterogeneous and homogeneous. Heterogeneous mixtures have visually distinguishable components, while homogeneous mixtures appear uniform throughout. The most common type of homogenous mixture is a solution, which can be a solid, liquid, or gas. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:solutions-and-mixtures/v/types-of-mixtures Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Lester Holt - Friday, August 14 thumb=https://i.ytimg.com/vi/2tQYPdkUZKc/default.jpg URL=http://www.youtube.com/watch?v=2tQYPdkUZKc description=What is it like to do a news show for kids, and how can families talk to kids about the unprecedented times we live in? NBC Nightly News Anchor Lester Holt joins Sal tomorrow at noon PT to share his experience, and what it's like covering this presidential election. For more information visit: keeplearning.khanacademy.org/description type=video name=Homeroom with Sal & María Elena Salinas - Thursday, August 13 thumb=https://i.ytimg.com/vi/rQAETXF-n_w/default.jpg URL=http://www.youtube.com/watch?v=rQAETXF-n_w description=How has the coronavirus affected Latinx communities, and how are Latinx families navigating distance learning? Journalist María Elena Salinas joins Sal on Thursday at noon PT to share her reporting, and how she became a journalist. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Lily Eskelsen García - Wednesday, August 12 thumb=https://i.ytimg.com/vi/F-znJzic6YQ/default.jpg URL=http://www.youtube.com/watch?v=F-znJzic6YQ description=How can we keep students learning while we fight a pandemic, and keep everyone safe? Lily Eskelsen García, president of the National Education Association and former 6th grade teacher, joins Sal on Wednesday at noon PT to discuss how to support America's public schools. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Ask Sal Anything! Homeroom Tuesday, August 11 thumb=https://i.ytimg.com/vi/k_xfNLqGtyQ/default.jpg URL=http://www.youtube.com/watch?v=k_xfNLqGtyQ description=For more information visit: keeplearning.khanacademy.org/description type=video name=National SAT Practice Test Day thumb=https://i.ytimg.com/vi/CfHieQ0SwpA/default.jpg URL=http://www.youtube.com/watch?v=CfHieQ0SwpA description=Taking a full-length SAT practice test is one of the best ways to prepare for test day. In this “study with me” style video, you’ll learn how to take a free full-length practice test using Official SAT Practice on Khan Academy, which you can access at www.satpractice.org. We recommend keeping this video on in the background as you work through your practice test, so you can hear the timing cues and know when you should take breaks. This video will let you know when you should start and stop each section, similar to what you’ll hear on the real SAT. Ready to take your practice test? Click “Play” to get started. Be sure you’re in a quiet place where you won’t be disturbed. Good luck!/description type=video name=Homeroom with Sal & Randi Weingarten - Tuesday, August 4 thumb=https://i.ytimg.com/vi/vqd0tosjnJk/default.jpg URL=http://www.youtube.com/watch?v=vqd0tosjnJk description=How can we reopen schools safely? What support do teachers and public schools need? American Federation of Teachers Union president Randi Weingarten joins Sal on Homeroom Tuesday at noon PT to discuss public education in the context of America's public health crisis, the economy, and a long-overdue reckoning with racism. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Nikole Hannah-Jones - Thursday, July 30 thumb=https://i.ytimg.com/vi/gycYr6JJdzQ/default.jpg URL=http://www.youtube.com/watch?v=gycYr6JJdzQ description=Thursday at noon PT Sal will be joined by Nikole Hannah-Jones, a Pulitzer Prize-winning reporter covering racial injustice for The New York Times Magazine and creator of the landmark 1619 Project. They’ll discuss race in America, inequities in education, and the ways teachers are using her work to help students learn about the history of race and racial inequality in America. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Hasan Minhaj on finding your gifts, being authentic, & understanding yourself | Homeroom with Sal thumb=https://i.ytimg.com/vi/mm0Y3ym-JUg/default.jpg URL=http://www.youtube.com/watch?v=mm0Y3ym-JUg description=What is the power of humor in times like these? Hasan Minhaj, host of Patriot Act, joins Sal on Wednesday at noon PT to discuss doing his Netflix show in quarantine, his journey in comedy, and his message for students. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Satya Nadella on the journey to becoming Microsoft's CEO & reimagining technology's impact thumb=https://i.ytimg.com/vi/Bgru5DYylTw/default.jpg URL=http://www.youtube.com/watch?v=Bgru5DYylTw description=What role can technology play as we reimagine long-term structural changes across industries? Microsoft C.E.O. Satya Nadella shares his take with Sal Tuesday at noon PT, and what it takes to lead in today's times. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Introduction to real gases | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/yDZcVKy52LM/default.jpg URL=http://www.youtube.com/watch?v=yDZcVKy52LM description=Real gases do not always follow the assumptions of the kinetic molecular theory. While the particles of an ideal gas are assumed to occupy no volume and experience no interparticle attractions, the particles of a real gas do have finite volumes and do attract one another. As a result, real gases are often observed to deviate from ideal behavior. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:deviation-from-ideal-gas-law/v/real-gas-vs-ideal-gas Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting expressions with multiple variables: Cylinder | Modeling | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/k00KEcYijo8/default.jpg URL=http://www.youtube.com/watch?v=k00KEcYijo8 description=Given the vale and the expression for the radius of a cylinder, find the radius of a cylinder with the same volume and 100 times the height. This involves analyzing the expression for the radius to see how changing the height affects the radius./description type=video name=Sal Discusses the Safety of Reopening Schools on the Situation Room With Wolf Blitzer thumb=https://i.ytimg.com/vi/OizpJlBhZAI/default.jpg URL=http://www.youtube.com/watch?v=OizpJlBhZAI type=video name=Identifying value in digits thumb=https://i.ytimg.com/vi/Rh7eqv7y2xM/default.jpg URL=http://www.youtube.com/watch?v=Rh7eqv7y2xM description=Identifying value in digits/description type=video name=Dr. Anthony Fauci on a Covid-19 vaccine & reopening schools this fall | Homeroom with Sal thumb=https://i.ytimg.com/vi/asVN55SS9T0/default.jpg URL=http://www.youtube.com/watch?v=asVN55SS9T0 description=There are no easy answers when it comes to the question of how and when to safely reopen schools. Friday at noon PT, Dr. Anthony Fauci joins Sal to share summer pandemic guidance and discuss school reopening. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Inches and feet thumb=https://i.ytimg.com/vi/o31t2ta-EtQ/default.jpg URL=http://www.youtube.com/watch?v=o31t2ta-EtQ description=Inches and feet/description type=video name=Measuring width in inches thumb=https://i.ytimg.com/vi/BBFOL4d2kek/default.jpg URL=http://www.youtube.com/watch?v=BBFOL4d2kek description=Measuring width in inches/description type=video name=Length word problem example thumb=https://i.ytimg.com/vi/h43MrQ5G_2k/default.jpg URL=http://www.youtube.com/watch?v=h43MrQ5G_2k description=Length word problem example/description type=video name=Partitioning rectangles thumb=https://i.ytimg.com/vi/8AdcPD50aTQ/default.jpg URL=http://www.youtube.com/watch?v=8AdcPD50aTQ description=Partitioning rectangles/description type=video name=Shapes and angles thumb=https://i.ytimg.com/vi/FehnQ_2SgsM/default.jpg URL=http://www.youtube.com/watch?v=FehnQ_2SgsM description=Shapes and angles/description type=video name=Ask Sal Anything! Homeroom Wednesday, July 22 thumb=https://i.ytimg.com/vi/EemKpQAL3RQ/default.jpg URL=http://www.youtube.com/watch?v=EemKpQAL3RQ description=⏰ Join us for Homeroom with Sal. We are going live this Wednesday at noon PT / 3 pm ET! - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Adding two digit numbers on a number line thumb=https://i.ytimg.com/vi/qHbw1_9HstU/default.jpg URL=http://www.youtube.com/watch?v=qHbw1_9HstU description=Adding two digit numbers on a number line/description type=video name=Multi step addition word problem thumb=https://i.ytimg.com/vi/dbCub716oSg/default.jpg URL=http://www.youtube.com/watch?v=dbCub716oSg description=Multi step addition word problem/description type=video name=Multi step subtraction word problem thumb=https://i.ytimg.com/vi/qAUnDB0LZL4/default.jpg URL=http://www.youtube.com/watch?v=qAUnDB0LZL4 description=Multi step subtraction word problem/description type=video name=Adding four two digit numbers thumb=https://i.ytimg.com/vi/7Y_wVnAHajg/default.jpg URL=http://www.youtube.com/watch?v=7Y_wVnAHajg description=Adding four two digit numbers/description type=video name=Adding multiple two digit numbers word problem thumb=https://i.ytimg.com/vi/WJNOtHFN-mM/default.jpg URL=http://www.youtube.com/watch?v=WJNOtHFN-mM description=Adding multiple two digit numbers word problem/description type=video name=Getting a sense of meters and centimeters thumb=https://i.ytimg.com/vi/pyx-6vfCuW0/default.jpg URL=http://www.youtube.com/watch?v=pyx-6vfCuW0 description=Getting a sense of meters and centimeters/description type=video name=Time on a number line example thumb=https://i.ytimg.com/vi/Rc2v8JdebwQ/default.jpg URL=http://www.youtube.com/watch?v=Rc2v8JdebwQ description=Time on a number line example/description type=video name=Homeroom with Sal & Casey Wasserman - Tuesday, July 21 thumb=https://i.ytimg.com/vi/YlKE7jhFF5Y/default.jpg URL=http://www.youtube.com/watch?v=YlKE7jhFF5Y description=The pandemic continues to impact all parts of life, including sports. As sports programs resume, what safeguards are needed to reduce risk for all involved? Tuesday at noon PT, Casey Wasserman, Chairman and CEO of the Wasserman Foundation, joins Sal for a conversation and will give his professional insight on COVID’s impact on the future of sports. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Jacquelline Fuller - Thursday, July 16 thumb=https://i.ytimg.com/vi/rI_sfYWvdyg/default.jpg URL=http://www.youtube.com/watch?v=rI_sfYWvdyg description=Did you know that Google has a philanthropic arm, Google.org? Thursday at noon PT, Google.org’s President Jacquelline Fuller joins Sal to talk about the org’s commitment to supporting COVID relief through donations and pro-bono project support across three core areas: health and science, economic relief and recovery, and distance learning. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Ask Sal Anything! Homeroom Wednesday, July 15 thumb=https://i.ytimg.com/vi/mSUboLc-pf4/default.jpg URL=http://www.youtube.com/watch?v=mSUboLc-pf4 description=⏰ Join us live for Homeroom with Sal - be a part of our community and ask Sal anything. This Wednesday, July 15 at noon PT / 3 pm ET! Hope to see you there! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & David Sinclair, PhD - Tuesday, July 14 thumb=https://i.ytimg.com/vi/calylOyczhM/default.jpg URL=http://www.youtube.com/watch?v=calylOyczhM description=Want to learn how we age and whether we can slow or even reverse aging? David Sinclair, PhD, professor of genetics at Harvard Medical School, says in his book “Lifespan” that aging is a disease, and that disease is treatable. Tune in to Homeroom with Sal on Tuesday at noon PT to get your questions answered by a leading expert on aging and age-associated diseases. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Reasoning with systems of equations | Systems of equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/s1RB-IgAHr8/default.jpg URL=http://www.youtube.com/watch?v=s1RB-IgAHr8 description=When we perform operations on a system of equations, some operations produce an equivalent system, while others don't necessarily produce an equivalent system. When we're solving a system of equations, we need to use operations that guarantee equivalence./description type=video name=Interpret quadratic models: Factored form | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ITBRCLusU1s/default.jpg URL=http://www.youtube.com/watch?v=ITBRCLusU1s description=Given a quadratic function that models a relationship, we can rewrite the function to reveal certain properties of the relationship. Factored form helps us identify the x-intercepts or zeros of the function./description type=video name=Using text features to locate information | Reading | Khan Academy thumb=https://i.ytimg.com/vi/v6EDEr_20sc/default.jpg URL=http://www.youtube.com/watch?v=v6EDEr_20sc description=Nonfiction texts contain useful features that organize information. You can learn to read these text features like a map to help point you towards the things you want to know! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Different mediums and the tone of the text | Reading | Khan Academy thumb=https://i.ytimg.com/vi/ZASEsKwEvqE/default.jpg URL=http://www.youtube.com/watch?v=ZASEsKwEvqE description=How does a text change when it goes from one medium to another, when it changes from a written work to a visual or audio one? That feeling it gives off can change—this might be why you were disappointed by the film adaptation of a favorite book, or why you love the adaptational changes someone made to a book you *didn’t* especially like. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: GREENHOUSE BLUES was illustrated by Cour Billadeau and written by me, David Rheinstrom, as a comics project for the science fiction podcast OUR FAIR CITY. Cour is great! You can follow their fantastic illustration work by visiting http://billet-deaux.com Hands off My Phone! is an excerpt from an audio play that goes alongside a series of reading exercises for Khan Academy's ELA curriculum! To learn more, visit: https://www.khanacademy.org/ela/cc-6th-reading-vocab/x8c8165c7dcd5e900:learn-by-topic-banning-behavior This play stars: Lisette Alvarez as Valentina Jordan Cobb as Jamila Felipe Escamilla as Principal Rosario, and David Rheinstrom as Sebastian Lisette's work can be found all over the internet, but especially on their urban fantasy podcast, KALILA STORMFIRE'S ECONOMICAL MAGICK SERVICES. Jordan is a writer, director, and actor—her production company, NO SUCH THING AUDIO DRAMA PRODUCTIONS, creates engrossing and terrifying stories for the ear. Felipe and David work at Khan Academy! “Cafeteria AMB” licensed under an attribution license from https://freesound.org/people/RorisangKgatle/sounds/366607/ “crazy feet, sensible shoes” by Curlew licensed under a CC 3.0 Attribution-Noncommercial-NoDerivativeWorks license: https://freemusicarchive.org/music/Curlew/Live_at_WFMU_on_Storks_show_6221997/Crazy_Feet_Sensible_Shoes Other sound effects and music from non-copyrighted (Creative Commons Zero license) sources/description type=video name=Evaluating a source’s reasoning and evidence | Reading | Khan Academy thumb=https://i.ytimg.com/vi/v4HhzvSgUpU/default.jpg URL=http://www.youtube.com/watch?v=v4HhzvSgUpU description=Don’t believe everything you read! A source has to give you a reason to trust it before you can accept what it’s trying to tell you. You can’t just accept it on faith when someone tells you there are goblins on the moon. How do they know that, and how can they prove to you that it’s true? (They can’t!) But you need to learn to trust SOME sources, or you won't be able to do everyday tasks without an overwhelming sense of doubt. So let's figure out how to evaluate sources. Use your brain, your heart, and your reading skills, Readers! You’ve got this. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Reasoning with linear equations | Solving equations & inequalities | Algebra 1 | Khan Academy thumb=https://i.ytimg.com/vi/BV-TGIMUXaw/default.jpg URL=http://www.youtube.com/watch?v=BV-TGIMUXaw description=When we perform operations to manipulate equations, some operations produce equivalent equations, while others don't necessarily produce equivalent equations. When we're solving an equation, we need to use operations that guarantee equivalence./description type=video name=Ask Sal Anything! Homeroom Thursday, July 9 thumb=https://i.ytimg.com/vi/61YQXkVTyGo/default.jpg URL=http://www.youtube.com/watch?v=61YQXkVTyGo description=⏰ Join us live for Homeroom with Sal - be a part of our community and ask Sal anything. This Thursday, July, 9 at noon PT / 3 pm ET! Hope to see you there! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Vas Narasimhan - Wednesday, July 8 thumb=https://i.ytimg.com/vi/0EZuoxSi4Pc/default.jpg URL=http://www.youtube.com/watch?v=0EZuoxSi4Pc description=What’s it like to lead a global healthcare company during a pandemic? Tune in Wednesday at noon PT as Vas Narasimhan, CEO of Novartis, joins Sal on Daily Homeroom. They’ll discuss the ways the healthcare industry has been responding to the pandemic, and Vas will share his perspective on how inclusive, diverse environments are essential to driving innovation in health and beyond. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Meaghan Pattani - Tuesday, July 7 thumb=https://i.ytimg.com/vi/yh_lredn1MY/default.jpg URL=http://www.youtube.com/watch?v=yh_lredn1MY description=No one was fully prepared for school closures. With fall on the horizon, Khan Academy wants to help educators be ready for anything and head into the new school year with a plan! Meaghan Pattani, Khan Academy’s U.S. Professional Learning Lead, is joining Homeroom with Sal on Tuesday at noon PT to talk about our brand-new teacher education program. Khan For Educators is 100% free, just like Khan Academy, and helps educators get ready for both in-person and online teaching. Learn more about the program and get your questions answered. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Defining appropriate quantities for modeling | Working with units | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/717zfRdog9s/default.jpg URL=http://www.youtube.com/watch?v=717zfRdog9s description=Examples for different ways to define how quantities of interest are calculated in a modeling problem./description type=video name=Formulas and units: Volume of a pool | Working with units | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/nziP-8PeZqY/default.jpg URL=http://www.youtube.com/watch?v=nziP-8PeZqY description=When using formulas to calculate real-world quantities, we need to make sure our units are consistent. In this video, the base area of a pool is given in square meters while its height is given in centimeters. In order to use the formula for volume, we need to convert one of the measurements to units that match the other measurement./description type=video name=Formulas and units: Comparing rates | Working with units | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/IuvsQjW1qa4/default.jpg URL=http://www.youtube.com/watch?v=IuvsQjW1qa4 description=When using formulas to calculate real-world quantities, we need to make sure our units are consistent. In this video, one growth rate is given in centimeters per week and the other is given in millimeters per day. In order to compare which rate is faster, we need to convert one of the rates to units that match the other rate./description type=video name=Using units to solve problems: Road trip | Working with units | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_UAQJw_q4p4/default.jpg URL=http://www.youtube.com/watch?v=_UAQJw_q4p4 description=In word problems that involve multiple quantities, we can use the units of the quantities to guide our solution. In this video, we find the cost of fuel for a road trip, using information that involves many different quantities, not all of which are useful for our problem./description type=video name=Using units to solve problems: Toy factory | Working with units | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ocOXYiborsw/default.jpg URL=http://www.youtube.com/watch?v=ocOXYiborsw description=In word problems that involve multiple quantities, we can use the units of the quantities to guide our solution. In this video, we find the value of toys produced at a factory using information that involves many different quantities, not all of which are useful for our problem./description type=video name=Interpret quadratic models: Vertex form | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/JdWEdb90V1s/default.jpg URL=http://www.youtube.com/watch?v=JdWEdb90V1s description=Given a quadratic function that models a relationship, we can rewrite the function to reveal certain properties of the relationship. Vertex form helps us identify the minimum or maximum of the function./description type=video name=Interpreting a parabola in context | Quadratic functions & equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_Bk6XkV9O_0/default.jpg URL=http://www.youtube.com/watch?v=_Bk6XkV9O_0 description=Given a parabola that models a context, we can relate key features of the parabola — like the y-intercept, vertex, and x-intercepts — to what they represent in the given context./description type=video name=Sequences and domain | Sequences | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/TymkzM7J1PY/default.jpg URL=http://www.youtube.com/watch?v=TymkzM7J1PY description=We can generate the same sequence with different functions and different domains./description type=video name=Using inequalities to solve problems | Solving equations & inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/E6rn-YD_2_Q/default.jpg URL=http://www.youtube.com/watch?v=E6rn-YD_2_Q description=We can use inequalities to solve problems in a given context./description type=video name=Solve by completing the square: Non-integer solutions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Ldp9_K3L4Q8/default.jpg URL=http://www.youtube.com/watch?v=Ldp9_K3L4Q8 description=We can use the strategy of completing the square to solve quadratic equations even when the solutions aren't integers./description type=video name=Strategy in solving quadratic equations | Quadratic functions & equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_MllyJivas4/default.jpg URL=http://www.youtube.com/watch?v=_MllyJivas4 description=Based on the initial form of a quadratic equation, we can determine which solution methods are and aren't appropriate./description type=video name=Solve by completing the square: Integer solutions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/eU41vG9z35M/default.jpg URL=http://www.youtube.com/watch?v=eU41vG9z35M description=We can use the strategy of completing the square to solve quadratic equations. If the solutions are integers, we can solve by factoring as well./description type=video name=Khan for Educators: Where do I go from here? thumb=https://i.ytimg.com/vi/2OzZETP1QJk/default.jpg URL=http://www.youtube.com/watch?v=2OzZETP1QJk description=Where do I go from here? is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Assignment reports thumb=https://i.ytimg.com/vi/dMFWxLI3Khg/default.jpg URL=http://www.youtube.com/watch?v=dMFWxLI3Khg description=Assignment reports is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Creating assignments thumb=https://i.ytimg.com/vi/DL_bUfx6CRg/default.jpg URL=http://www.youtube.com/watch?v=DL_bUfx6CRg description=Creating assignments is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Course Mastery thumb=https://i.ytimg.com/vi/-1hECZc0Ssc/default.jpg URL=http://www.youtube.com/watch?v=-1hECZc0Ssc description=Course Mastery is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Student experience thumb=https://i.ytimg.com/vi/N0CORqqtbTU/default.jpg URL=http://www.youtube.com/watch?v=N0CORqqtbTU description=Student experience is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Creating a class thumb=https://i.ytimg.com/vi/MMIxA7kHJ-g/default.jpg URL=http://www.youtube.com/watch?v=MMIxA7kHJ-g description=Creating a class is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Basic site navigation thumb=https://i.ytimg.com/vi/0ryXomtf3MY/default.jpg URL=http://www.youtube.com/watch?v=0ryXomtf3MY description=Basic site navigation is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Our Content thumb=https://i.ytimg.com/vi/Qh1B2xfbhgg/default.jpg URL=http://www.youtube.com/watch?v=Qh1B2xfbhgg description=Our Content is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Khan Academy’s learning experience thumb=https://i.ytimg.com/vi/BA2Q4NGd8DQ/default.jpg URL=http://www.youtube.com/watch?v=BA2Q4NGd8DQ description=Khan Academy’s learning experience is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Khan Academy's Mission thumb=https://i.ytimg.com/vi/Gr6BT6Tl1jA/default.jpg URL=http://www.youtube.com/watch?v=Gr6BT6Tl1jA description=Khan Academy’s Mission is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Khan for Educators: Welcome to Khan for Educators thumb=https://i.ytimg.com/vi/thf9DbMQAPU/default.jpg URL=http://www.youtube.com/watch?v=thf9DbMQAPU description=Welcome to Khan for Educators is part of Khan for Educators, a free course for teachers to learn more about Khan Academy, the content and tools available for teachers and students, and best practices for implementing technology with students./description type=video name=Incorporating opposing viewpoints | Reading | Khan Academy thumb=https://i.ytimg.com/vi/msHjgIsYOkU/default.jpg URL=http://www.youtube.com/watch?v=msHjgIsYOkU description=Hello, Readers! LET’S ARGUE. Incorporating opposing viewpoints in an argument can make an argument stronger—as readers, we can pay attention to how authors deploy this technique, which I compare to the martial art of Wing Chun. Block as you strike! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attribution: The Wing Chun technique of translating a block into a strike, and specifically the illustrated depiction of the two combatants, comes from this Master Wong video: https://www.youtube.com/watch?v=Nkc8R_VtrAo Thanks, Master Wong! Please use his knowledge responsibly./description type=video name=Analyzing tone through word choice | Reading | Khan Academy thumb=https://i.ytimg.com/vi/l3yWmXbC36s/default.jpg URL=http://www.youtube.com/watch?v=l3yWmXbC36s description=Tone communicates how an author feels about their topic. How do good readers pick up on tone from clues left by the words an author chooses? Let’s discuss, and find out together! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc attributions and pictures of sausages: Half smokes and Ben’s [Chili Bowl]* is licensed under an attribution/sharealike license through the Wikimedia Commons; it’s from user Joe Loong: https://www.flickr.com/photos/joelogon/3302309261/ Chicago-style hot dog courtesy of Jonathan Mauer, licensed under a CC Attribution/Sharealike 4.0 license: https://en.wikipedia.org/wiki/File:Chicago-style_hot_dog_Johnniebeefs.jpg Classic New York Hot Dog from Gray’s Papaya licensed under a CC attribution/sharealike license from Aneil Hutchman of http://cestlavibe.com/: https://www.flickr.com/photos/72547033@N06/14487377758 * Ben’s Chili Bowl is an indispensable DC food landmark. The one in the airport is no substitute; go to the one on U Street. Music: Bach - Brandenburg Concerto No 3, 1 allegro by Advent Chamber Orchestra is licensed under a Attribution-Share Alike 3.0 United States License./description type=video name=Free live tutoring at schoolhouse.world thumb=https://i.ytimg.com/vi/3SW3xK2TmPc/default.jpg URL=http://www.youtube.com/watch?v=3SW3xK2TmPc description=A non-Khan Academy project by Sal to help all students get free live tutoring at http://schoolhouse.world./description type=video name=Homeroom with Sal & Jonathan Haidt - Wednesday, July 1 thumb=https://i.ytimg.com/vi/2yr65GwQbMk/default.jpg URL=http://www.youtube.com/watch?v=2yr65GwQbMk description=While the US grapples with polarization, protests, and a pandemic, there is an opportunity to leverage this difficult year to produce greater social solidarity and cohesion at some point in the future. Sal will be joined by social psychologist Jonathan Haidt to discuss how the current crises might bring about much-needed change and growth. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Interpreting trigonometric graphs in context | Trigonometry | Algebra || | Khan Academy thumb=https://i.ytimg.com/vi/7q9eHwP2Smw/default.jpg URL=http://www.youtube.com/watch?v=7q9eHwP2Smw description=When a trigonometric function models a real-world relationship, we can assign meaning to its midline, amplitude and period./description type=video name=Graph labels and scales | Modeling | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/IoPQtvXkde0/default.jpg URL=http://www.youtube.com/watch?v=IoPQtvXkde0 description=When graphing a real-world relationship, we need to pick labels and axis scales that are appropriate for the purpose of our model./description type=video name=Interpreting expressions with multiple variables: Resistors | Modeling | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/8ffMjFXiW9A/default.jpg URL=http://www.youtube.com/watch?v=8ffMjFXiW9A description=Given the expression for the total resistance in an electric circuit with two resistors, analyze the expression to tell what happens to the total resistance when the resistance of one resistor increases and the resistance of the other resistor stays the same./description type=video name=Modeling with multiple variables: Pancakes | Modeling | Algebra || | Khan Academy thumb=https://i.ytimg.com/vi/bp29Cf4xCqU/default.jpg URL=http://www.youtube.com/watch?v=bp29Cf4xCqU description=Modeling the relationship between three quantities (or more) isn't that different from modeling the relationship between two quantities. Here is an example of a model that relates different quantities in the context of making pancakes./description type=video name=Modeling with multiple variables: Roller coaster | Modeling | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/hANm5-51ywk/default.jpg URL=http://www.youtube.com/watch?v=hANm5-51ywk description=Modeling the relationship between three quantities (or more) isn't that different from modeling the relationship between two quantities. Here is an example of a model that relates different quantities in the context of roller coaster rides./description type=video name=Homeroom with Sal & Marta Kosarchyn - Tuesday, June 30 thumb=https://i.ytimg.com/vi/pmQjw8FdlaY/default.jpg URL=http://www.youtube.com/watch?v=pmQjw8FdlaY description=Come learn from Marta Kosarchyn, Khan Academy’s VP of Engineering, when she joins us on Homeroom with Sal on Wednesday at noon PT. Marta, who brings a wealth of perspective about Silicon Valley, will share her experiences leading the engineering team, her passion for supporting women in engineering and more. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=How the delivery of a speech affects the impact of the words | Reading | Khan Academy thumb=https://i.ytimg.com/vi/Q4I9ht7wHsk/default.jpg URL=http://www.youtube.com/watch?v=Q4I9ht7wHsk description=Good public speakers use a range of techniques to convey their message to their audience, which goes beyond just the words they say. They become actors, who are telling us a story on stage not just with their lines but with their physical presence. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Mapping shapes thumb=https://i.ytimg.com/vi/QOXBJ2X1_9k/default.jpg URL=http://www.youtube.com/watch?v=QOXBJ2X1_9k description=Find sequences of rigid transformations that map one shape onto another shape./description type=video name=Ask Sal Anything! Homeroom with Sal - Monday, June 29 thumb=https://i.ytimg.com/vi/EiI_3lN5mU0/default.jpg URL=http://www.youtube.com/watch?v=EiI_3lN5mU0 description=⏰ Join us live for Homeroom with Sal - be a part of our community and ask Sal anything. This Thursday, July, 2 at noon PT / 3 pm ET! Hope to see you there! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Radians as ratio of arc length to radius | Circles | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/9qrx0aqyhS8/default.jpg URL=http://www.youtube.com/watch?v=9qrx0aqyhS8 description=Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-radians-intro . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dilating a triangle example thumb=https://i.ytimg.com/vi/KCGmUcleiNk/default.jpg URL=http://www.youtube.com/watch?v=KCGmUcleiNk description=Dilating a triangle example/description type=video name=Proving triangle congruence | Congruence | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/Q8EtrFIHJuc/default.jpg URL=http://www.youtube.com/watch?v=Q8EtrFIHJuc description=Given a figure composed of 2 triangles, prove that the triangles are congruent or determine that there's not enough information to tell. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-congruent-triangles . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Applying volume of solids | Solid geometry | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/dp3my9MnmOM/default.jpg URL=http://www.youtube.com/watch?v=dp3my9MnmOM description=Calculate the volume of a grain hopper and then use the given rate to solve an applied problem. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-prisms . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Proof: Parallel lines divide triangle sides proportionally | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/L1c0SP4W4ro/default.jpg URL=http://www.youtube.com/watch?v=L1c0SP4W4ro description=Prove that a line parallel to one triangle side divides other sides proportionately. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-similarity/hs-geo-proving-relationships-using-similarity . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Multi-step word problem with Pythagorean theorem | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/jVvpQAIrJ-o/default.jpg URL=http://www.youtube.com/watch?v=jVvpQAIrJ-o description=Use the Pythagorean theorem and proportional reasoning in context. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-pyth-theorem . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Proof: perpendicular radius bisects chord thumb=https://i.ytimg.com/vi/2NgzruZ4_5c/default.jpg URL=http://www.youtube.com/watch?v=2NgzruZ4_5c description=Simple proof using right triangle-side-hypotenuse (RSH) congruence criterion to show that a radius perpendicular to a chord bisects it/description type=video name=Camp Khan Parent Webinar thumb=https://i.ytimg.com/vi/ggyuqAu-_sI/default.jpg URL=http://www.youtube.com/watch?v=ggyuqAu-_sI description=Parents, are you looking for fun summer opportunities and learning activities to prepare your child for the fall? If so, we invite you to join us to learn more about Camp Khan, our fun and flexible virtual camp! We walk through our new Get ready for grade level courses, and give you a preview of some of the fun activities we're excited to share with Camp Khan campers this summer. Learn more about Camp Khan here, and enroll your child today: khan.co/CampKhan2020 You can view the slides here: khan.co/CampKhanWebinarSlides You can view the handout here: khan.co/CampKhanHandout/description type=video name=Dividing line segments according to ratio thumb=https://i.ytimg.com/vi/Cx-_PxD4DJM/default.jpg URL=http://www.youtube.com/watch?v=Cx-_PxD4DJM description=Find the point on a directed line segment between two given points that partitions the segment in a given ratio./description type=video name=Classifying figures with coordinates | Analytic geometry | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/2B5SQba9xSo/default.jpg URL=http://www.youtube.com/watch?v=2B5SQba9xSo description=Use coordinates to determine the slopes of sides of a figure in order to classify it. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-lines . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=James Manyika on how the pandemic has accelerated the future of work | Homeroom with Sal thumb=https://i.ytimg.com/vi/3SgddD4Ifr0/default.jpg URL=http://www.youtube.com/watch?v=3SgddD4Ifr0 description=The future of work has arrived faster than we ever imagined. James Manyika, chairman and director of the McKinsey Global Institute and Khan Academy board member says that due to this acceleration, our society has to face many challenges and reconsider beliefs. Sal and James will discuss current events and what the future may hold during Homeroom with Sal tomorrow at 2 pm PT / 5 pm ET. Tune in to learn why the choices made during crises can shape the world for decades. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Using related volumes | Solid geometry | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/knNLHsjIcl8/default.jpg URL=http://www.youtube.com/watch?v=knNLHsjIcl8 description=Use related volumes (using the volume of one figure to determine the volume of another). View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-cavalieri-s-principle . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Volumes of cones intuition | Solid geometry | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/LmBViMOeYXg/default.jpg URL=http://www.youtube.com/watch?v=LmBViMOeYXg description=Use Cavalieri's Principle to establish that the formula for the volume of a cone is the same as the formula for the volume of a pyramid (1/3 * base area * height). View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-cavalieri-s-principle . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Citing evidence in literary analysis | Reading | Khan Academy thumb=https://i.ytimg.com/vi/Tq_BoPJsv-4/default.jpg URL=http://www.youtube.com/watch?v=Tq_BoPJsv-4 description=In order to successfully build an argument about a text, you must make inferences and draw conclusions—and those must be built on the backs of evidence in the text. Let's talk about how to search for evidence-bearing details in text, and how to best derive support for the points you're trying to make, in the only way I know how: by talking about fictitious pirates. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Part-to-whole relationships in text structure | Reading | Khan Academy thumb=https://i.ytimg.com/vi/-GY2Cj1w_PY/default.jpg URL=http://www.youtube.com/watch?v=-GY2Cj1w_PY description=How is an informational text like Voltron, the giant robot made from other, smaller robots? Well, a text is made up of other, smaller sections of text, which are in turn made up of paragraphs and sentences—and each smaller component serves the larger component to drive towards the main point of the text. This is similar to how the lion-shaped robots combine to make a giant person-shaped robot; listen, don't think about it too hard or it falls apart. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask Sal Anything! Homeroom Wednesday, June 24 thumb=https://i.ytimg.com/vi/z1IC7DVQHo8/default.jpg URL=http://www.youtube.com/watch?v=z1IC7DVQHo8 description=⏰ Join us for Homeroom with Sal - be a part of our community and ask live questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Rachel Skiffer - Tuesday, June 23 thumb=https://i.ytimg.com/vi/R6veKAhNWHE/default.jpg URL=http://www.youtube.com/watch?v=R6veKAhNWHE description=Tuesday Khan Lab School’s Head of School, Rachel Skiffer joins Sal on Homeroom at noon PT/3 PM ET. They’ll discuss collaborative learning environments, best practices in distance learning & answer questions. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Cavalieri's principle in 3D | Solid geometry | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/2TDFtCKMoKk/default.jpg URL=http://www.youtube.com/watch?v=2TDFtCKMoKk description=Cavalieri's principle tells us that if 2 figures have the same height and the same cross-sectional area at every point along that height, they have the same volume. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-cavalieri-s-principle . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dilating in 3D | Solid geometry | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/3wTy5aI9AF4/default.jpg URL=http://www.youtube.com/watch?v=3wTy5aI9AF4 description=The cross-sections of a pyramid parallel to its base are the dilations of the base about the apex with scale factors from 0 to 1. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-2d-vs-3d . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating angle measures to verify congruence | Congruence | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/i63Ruo2jj1E/default.jpg URL=http://www.youtube.com/watch?v=i63Ruo2jj1E description=Calculate missing angle measures to determine which triangles must be congruent. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-congruent-triangles . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Homeroom with Sal & Lindsay Spears - Monday, June 22 thumb=https://i.ytimg.com/vi/NVa8DZNBpaI/default.jpg URL=http://www.youtube.com/watch?v=NVa8DZNBpaI description=Worried about summer slide? We’ve got you covered! 😎 Monday at noon PT/ 3 PM ET Khan Academy’s senior math content manager Lindsay Spears and Sal talk about how our new Get Ready for Grade Level courses can help. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Preview Get Ready for Grade Level thumb=https://i.ytimg.com/vi/TlgRbkjj80I/default.jpg URL=http://www.youtube.com/watch?v=TlgRbkjj80I description=We designed Get Ready for Grade Level courses to help students master the most important skills they’ll need for the next grade. If they have gaps for the grade they’re entering in the fall, students spend their time mastering the important skills they need to fill those gaps. If they don’t have gaps, students accelerate ahead and brush up on the skills they need for next school year. Teachers can also use Get Ready for Grade Level at back-to-school time to complement grade-level instruction. Get Ready for Grade Level courses are available in English and Spanish on our website and mobile app. Like all our courses, they are completely free./description type=video name=Reading within and across genres | Reading | Khan Academy thumb=https://i.ytimg.com/vi/YxXfltZZOdI/default.jpg URL=http://www.youtube.com/watch?v=YxXfltZZOdI description=A genre is a type of story, like fantasy or romance: stories within a genre share similar subject matter, themes, or styles. The more you read within a genre, the more you develop a schema, a set of background knowledge or expectations for that genre. And if an author's clever, they may play with your expectations... Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc P.S. The butler totally did it. Did you see the way he treated Mrs. Womblesby? So rude!/description type=video name=Quantitative information in texts | Reading | Khan Academy thumb=https://i.ytimg.com/vi/WzQGeCzOTyk/default.jpg URL=http://www.youtube.com/watch?v=WzQGeCzOTyk description=How can a chart or a graph improve an argument? What's the most efficient way to describe information? How can I convince the neighborhood council to ban peanuts at the bake sale? Let's try to answer those questions the only way I know how: with made-up charts and the world's oldest GIF. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attribution: Eadweard Muybridge's 1878 photographs of a running horse are some of the earliest motion pictures. They're in the public domain, and you should absolutely look them up, and yes, I know that's a really strange spelling of 'Edward'. He adopted the Anglo-Saxon spelling in 1882./description type=video name=Character change | Reading | Khan Academy thumb=https://i.ytimg.com/vi/KC6WY06twwc/default.jpg URL=http://www.youtube.com/watch?v=KC6WY06twwc description=What does it look like when a fictional character shows change and growth? Let's begin by talking about one of David's favorite character-growth arcs, Prince Zuko from AVATAR: THE LAST AIRBENDER. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Making objective summaries of literary texts | Reading | Khan Academy thumb=https://i.ytimg.com/vi/jeDCQhJqD7o/default.jpg URL=http://www.youtube.com/watch?v=jeDCQhJqD7o description=Being objective is *hard*, but it provides a necessary backbone for your analysis. Once you've got an objective summary, then you can bring opinions back in for your analysis. (Opinions are good! Opinions are where analysis lives!) Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc attributions: Some sounds licensed under a public domain Creative Commons 0 license “Neighborhood Compost and Moving Trucks Ambience” licensed under an attribution license: https://freesound.org/people/Ev-Dawg/sounds/350695/ “Avalanche_land_mono_1.wav” licensed under an attribution license: https://freesound.org/people/leonsptvx/sounds/384568//description type=video name=Analyzing an author's purpose | Reading | Khan Academy thumb=https://i.ytimg.com/vi/R_bgo8j6jxc/default.jpg URL=http://www.youtube.com/watch?v=R_bgo8j6jxc description=When it comes to nonfiction texts (and especially opinion pieces), nearly everybody's selling something. Stay sharp, stay skeptical, and watch out for manipulative tactics—what an author *doesn't* say can be as important as what they do say. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: Uma Pândega de Paranóias, Fobias e Mania da Perseguição by Stealing Orchestra is licensed under a Attribution-NonCommercial-NoDerivatives (aka Music Sharing) 3.0 International License./description type=video name=How POV affects readers | Reading | Khan Academy thumb=https://i.ytimg.com/vi/XIfYK4tpl2Y/default.jpg URL=http://www.youtube.com/watch?v=XIfYK4tpl2Y description=Let’s talk about point of view in literature, and how it can shape what we, as readers, take away from a story. Once we’ve sussed out whose perspective a story or a poem is being told from, what’s next? What else is there to talk about? Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Changes in POV and dramatic irony | Reading | Khan Academy thumb=https://i.ytimg.com/vi/lRoFaux2V_g/default.jpg URL=http://www.youtube.com/watch?v=lRoFaux2V_g description=When we analyze the perspectives of storytellers—whether that’s a point of view character, an omniscient narrator, or a narrator that attaches closely to multiple perspectives—we can understand the way that an author is controlling the flow of information. Who knows what, when? And what does that tell us? Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions for Dramatic Irony: some sounds licensed under a public domain Creative Commons 0 license “Wet Splat” by JustInvoke licensed under an Attribution license https://freesound.org/people/JustInvoke/sounds/446115/ Music: “Division” by Kevin MacLeod Link: https://incompetech.filmmusic.io/song/3665-division License: http://creativecommons.org/licenses/by/4.0//description type=video name=Francis Ford Coppola on doing what you love and taking pleasure in learning | Homeroom with Sal thumb=https://i.ytimg.com/vi/pTL5ZPNwY0o/default.jpg URL=http://www.youtube.com/watch?v=pTL5ZPNwY0o description=Widely considered to be one of the greatest filmmakers of all time, Francis Ford Coppola knows a thing or two about creativity. Tune in Friday at noon PT/ 3 PM ET as he joins Sal on Daily Homeroom to chat about sparking creativity in learning. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Ask Sal Anything - Homeroom Thursday, June 11 thumb=https://i.ytimg.com/vi/m0Ehu0zohDQ/default.jpg URL=http://www.youtube.com/watch?v=m0Ehu0zohDQ description=🗣Ask Sal Anything! We are going live with Khan Academy founder, Sal Khan. ⏰Join us for Homeroom with Sal - be a part of our community and ask Sal whatever is on your mind. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Fareed Zakaria thumb=https://i.ytimg.com/vi/RBzOWe7P2WU/default.jpg URL=http://www.youtube.com/watch?v=RBzOWe7P2WU description=Why is this happening now? Why aren’t things getting better? Fareed Zakaria, Washington Post columnist and CNN host, will join Homeroom with Sal to talk about the inequities in education access, criminal justice reform, and COVID-19. Most importantly, Fareed will describe why he is still optimistic. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Sal Khan Appreciates Teachers | Dear Class Of 2020 thumb=https://i.ytimg.com/vi/vyFQDcILrk4/default.jpg URL=http://www.youtube.com/watch?v=vyFQDcILrk4 description=Dear Class of 2020 is a virtual commencement celebration bringing together inspirational leaders and artists to celebrate graduates, their families, and their communities. Watch the full stream here: https://www.youtube.com/watch?v=rxpTjcouaeQ/description type=video name=Developing themes | Reading | Khan Academy thumb=https://i.ytimg.com/vi/D2FFijvA00I/default.jpg URL=http://www.youtube.com/watch?v=D2FFijvA00I description=Let’s talk about themes, and how authors can intentionally build messages into fiction. Themes link big ideas about the world we live in with the action of a text—but how does an author structure them into a story? Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=A path to ending systemic racism from Bill Lewis, former NAACP LDF co-chair | Homeroom with Sal thumb=https://i.ytimg.com/vi/z8cExx4RjRA/default.jpg URL=http://www.youtube.com/watch?v=z8cExx4RjRA description=Join Sal and Bill Lewis, co-chairman of Investment Banking at Lazard, tomorrow at 8:40 am PT/11:40 am ET. They will discuss the social unrest we are seeing. Bill has been a co-chair of the NAACP Legal Defense Fund and has been an officer of the National Urban League. He attended segregated schools until age 14 and is a life long student of the Civil Rights movement. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom with Sal & Kristen DiCerbo thumb=https://i.ytimg.com/vi/_2smE5rC6ww/default.jpg URL=http://www.youtube.com/watch?v=_2smE5rC6ww description=What does learning science tell us about teaching and learning? Sal and Khan Academy’s new Chief Learning Officer Kristen DiCerbo will chat about this topic and more today at noon PT/ 3 PM ET. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=What is an argument? | Reading | Khan Academy thumb=https://i.ytimg.com/vi/NXO3KT8bne4/default.jpg URL=http://www.youtube.com/watch?v=NXO3KT8bne4 description=Let's talk about how arguments work! Argument is when an author wants to convince you of their position. “This is my position; you should share this position, and here is why.” Argument does not sneak. It does not come in through the back. It is supported by reasons, evidence, examples. Not just pure opinion, not just cherry-picked stories. Data! Fact! Observable reality. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Figurative language | Reading | Khan Academy thumb=https://i.ytimg.com/vi/lzKj-bLvrYQ/default.jpg URL=http://www.youtube.com/watch?v=lzKj-bLvrYQ description=We're going to talk about non-literal uses of language today, which can be difficult and confusing. Figurative language says something that isn't true in order to EXPRESS something that is true. We're basically lying in order to tell the truth, which is super weird. But it can be so powerful, once you get the hang of it. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: photo of the Biblioteca Vasconcelos, Ciudad de México by“Diego Delso, delso.photo, License CC-BY-SA"  Extract from 1964’s “This is Hormel” (the hot dog footage) has been released into the public domain by the Prelinger Archives./description type=video name=Reporting measurements | Working with units | Algebra 1 | Khan Academy thumb=https://i.ytimg.com/vi/UEe81kJtY8A/default.jpg URL=http://www.youtube.com/watch?v=UEe81kJtY8A description=We should think about the appropriate level of precision of different measurements in modeling problems./description type=video name=Reasoning with systems of equations | Equivalent systems of equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/0bBHepZ8UPE/default.jpg URL=http://www.youtube.com/watch?v=0bBHepZ8UPE description=When we perform operations on a system of equations, some operations produce an equivalent system, while others don't necessarily produce an equivalent system. When we're solving a system of equations, we need to use operations that guarantee equivalence./description type=video name=Reasoning with linear equations | Solving equations & inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/mmg6wFPMdH8/default.jpg URL=http://www.youtube.com/watch?v=mmg6wFPMdH8 description=When we perform operations to manipulate equations, some operations produce equivalent equations, while others don't necessarily produce equivalent equations. When we're solving an equation, we need to use operations that guarantee equivalence./description type=video name=Homeroom with Sal - Thursday, June 4 thumb=https://i.ytimg.com/vi/dfH148QsxiE/default.jpg URL=http://www.youtube.com/watch?v=dfH148QsxiE description=🗣Ask Sal Anything! We are going live with Khan Academy founder, Sal Khan. ⏰Join us for Homeroom with Sal - be a part of our community and ask Sal whatever is on your mind. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom With Sal & Mayor Sam Liccardo - Wednesday, June 3 thumb=https://i.ytimg.com/vi/ekg-Dh9hUq0/default.jpg URL=http://www.youtube.com/watch?v=ekg-Dh9hUq0 description=How is Silicon Valley responding to the pandemic? On Wednesday, Sal welcomes San Jose California Mayor Sam Liccardo for a chat about the ways regional leaders across government, the private sector, and nonprofits are working together to move forward. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Parent Quick-Start Tips: For Kids Ages 12 and Under thumb=https://i.ytimg.com/vi/KABB4Kr7WhU/default.jpg URL=http://www.youtube.com/watch?v=KABB4Kr7WhU description=This video gives a quick overview of how parents can get started with using Khan Academy with their children. It is meant for parents who have kids who are 12 or younger. If you have kids who are 13 or older, please see this video: https://www.youtube.com/watch?v=Nj0_IxXk5hU To start using Khan Academy with your children, visit www.khanacademy.org. Get free resources to keep your kids learning during school closures: https://keeplearning.khanacademy.org//description type=video name=Parent Quick-Start Tips: For Kids Ages 13+ thumb=https://i.ytimg.com/vi/Nj0_IxXk5hU/default.jpg URL=http://www.youtube.com/watch?v=Nj0_IxXk5hU description=This video gives a quick overview of how parents can get started with using Khan Academy with their children. It is meant for parents who have kids who are 13 or older. If you have kids who are 12 or younger, please see this video: https://www.youtube.com/watch?v=KABB4Kr7WhU To start using Khan Academy with your children, visit www.khanacademy.org. Get free resources to keep your kids learning during school closures: https://keeplearning.khanacademy.org//description type=video name=#BlackOutTuesday thumb=https://i.ytimg.com/vi/_KqYIhx7B80/default.jpg URL=http://www.youtube.com/watch?v=_KqYIhx7B80 description=Given all that's happening, we've decided to cancel today's Homeroom with Sal show. In solidarity with the Black community, we are going silent today. We will reschedule our guest for a future date./description type=video name=A Discussion With Sal About Systemic Racism thumb=https://i.ytimg.com/vi/riNzjzALU3Y/default.jpg URL=http://www.youtube.com/watch?v=riNzjzALU3Y description="This is a moment for all pause. For all of us to think about what kind of a society we want to be, what kind of a country we want to be. How does the justice system work? How do we hold folks accountable? How do we not paint folks with a broad brush and treat everyone with dignity?"/description type=video name=Latin and Greek roots and affixes | Reading | Khan Academy thumb=https://i.ytimg.com/vi/fiaPqgwJFo4/default.jpg URL=http://www.youtube.com/watch?v=fiaPqgwJFo4 description=Roots and affixes are the keys to unlocking so much of English's vocabulary. For a variety of Fun History Reasons™, many of the roots we use to make words in English are derived from Latin and Greek. Understanding those word-parts can make vocabulary a lot less frustrating and scary. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: “crazy feet, sensible shoes” by Curlew licensed under a CC 3.0 Attribution-Noncommercial-NoDerivativeWorks license Other sound effects and music from non-copyrighted (Creative Commons Zero license) sources/description type=video name=What are affixes? | Reading | Khan Academy thumb=https://i.ytimg.com/vi/WYSnf6qy4WA/default.jpg URL=http://www.youtube.com/watch?v=WYSnf6qy4WA description=Affixes are word-parts that change the meaning of the words they attach to. "Un-" is a great example; when you're not happy, you're "unhappy". "Un-" means "not". It's a kind of affix we call a "prefix". Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask Sal Anything - Homeroom with Sal - Friday, May 29 thumb=https://i.ytimg.com/vi/IBURTAA42z4/default.jpg URL=http://www.youtube.com/watch?v=IBURTAA42z4 description=🗣Ask Sal Anything! We are going live with Khan Academy founder, Sal Khan. ⏰Join us for Homeroom with Sal - be a part of our community and ask Sal whatever is on your mind. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Tom Friedman on saving lives and livelihoods & honoring the heroes of the crisis | Homeroom with Sal thumb=https://i.ytimg.com/vi/tzHczzUbSiU/default.jpg URL=http://www.youtube.com/watch?v=tzHczzUbSiU description=Tune in Thursday at noon PT as Tom Friedman, New York Times columnist and three-time Pulitzer Prize winning author, joins Sal for Daily Homeroom. They’ll discuss Tom’s life journey, his recent columns on the current crisis and global affairs, and ways the world can emerge stronger. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=MIT Dean of Admissions, Stu Schill, says the perfect applicant doesn't exist | Homeroom with Sal thumb=https://i.ytimg.com/vi/uERTaKMdcYg/default.jpg URL=http://www.youtube.com/watch?v=uERTaKMdcYg description=How will the pandemic impact the college experience for students? What's the impact on higher education institutions? Tune in Wednesday at noon PT as MIT’s Dean of Admissions and Student Financial Services, Stu Schmill, joins Sal to discuss these topics and more. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Angela Duckworth's tips for avoiding procrastination & motivating teenagers | Homeroom with Sal thumb=https://i.ytimg.com/vi/E56N17K6OHc/default.jpg URL=http://www.youtube.com/watch?v=E56N17K6OHc description=Back by popular demand, recent Daily Homeroom guest Angela Duckworth is returning to answer more of your questions. She’s Founder CEO of Character Lab and author of the New York Times bestselling book, "Grit: The Power of Passion and Perseverance." She’ll share tips on accepting feedback, regaining a sense of control, and more. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Reading multiple accounts of the same topic | Reading | Khan Academy thumb=https://i.ytimg.com/vi/tQhLQQcJZyo/default.jpg URL=http://www.youtube.com/watch?v=tQhLQQcJZyo description=Everyone brings a different perspective to an event. We read multiple accounts of the same topic so we can bring all those perspectives together, and in so doing, we can get a handle on the truth. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc attributions: The image of the 1962 Rashomon re-release poster is in the public domain in Japan. illustration of the RMS Titanic licensed under a CC attribution-sharealike 3.0 license. https://commons.wikimedia.org/wiki/File:Cd51-1000g.gif Willy Stöwer’s 1912 engraving, Der Untergang der Titanic, is in the public domain. https://en.wikipedia.org/wiki/File:St%C3%B6wer_Titanic.jpg This photo of the USS Massachusetts’s fire room/boiler room is in the public domain: https://en.wikipedia.org/wiki/File:Fire_room_Massachusetts.jpg This photo of stateroom B-58 aboard the RMS Titanic is in the public domain in the United States: https://en.wikipedia.org/wiki/File:B-58.jpg Michael M. Stokes’s photo of the Somerset Patriots players arguing with an umpire is licensed under an attribution 2.0 license. https://commons.wikimedia.org/wiki/File:Somerset_Patriots_vs_umpire_(41836541332).jpg This image of a car hitting a tree is by Huhu Uet - Own work, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=8991289 "Bicyclist crossing the street" is licensed under a CC BY 3.0 license: https://commons.wikimedia.org/wiki/File:Bicyclist_Crossing_the_Street.jpg/description type=video name=Daily Homeroom: Congratulations Class of 2020! thumb=https://i.ytimg.com/vi/o6q9cU133EE/default.jpg URL=http://www.youtube.com/watch?v=o6q9cU133EE description=Congratulations to the #Classof2020! 🎓🎉 We know the school year is ending without the graduation ceremonies we were looking forward to. 😢 So Sal is dedicating an entire Daily Homeroom to graduating seniors. 😍 Join us and get Sal’s advice and encouragement and bring him all of your life questions! We can’t wait to celebrate with you! 🙌🏽🎊👏🏽 For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Connotation | Reading | Khan Academy thumb=https://i.ytimg.com/vi/XRt1N0sJJQo/default.jpg URL=http://www.youtube.com/watch?v=XRt1N0sJJQo description=Today, let’s talk about feelings—specifically, the way that words make us feel. We're talking about connotation, the way a word feels, the context around it. Imagine a rock in a stream: connotation is the way culture flows around a word. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc photo of a baseball by Schyler at English Wikipedia, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=13465049 photo of a soccer ball by Petey21 - Own work, CC0, https://commons.wikimedia.org/w/index.php?curid=33477368/description type=video name=Superintendent Alberto M. Carvalho on school closures, the COVID-19 crisis & re-opening schools thumb=https://i.ytimg.com/vi/mxturY-33SU/default.jpg URL=http://www.youtube.com/watch?v=mxturY-33SU description=Alberto M. Carvalho, Superintendent of Miami-Dade County Public Schools, the nation’s fourth-largest school system, has been widely praised for his forward-thinking leadership and work to ensure virtual learning success. Superintendent Carvalho speaks with Sal Khan on school closures, the COVID-19 crisis and re-opening Miami-Dade schools this fall. Superintendent Carvalho shares out how Miami-Dade is addressing the digital divide and preparing contingency plans for the Fall. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Place value tables thumb=https://i.ytimg.com/vi/Wt3IrBqq6Uc/default.jpg URL=http://www.youtube.com/watch?v=Wt3IrBqq6Uc description=Introduction to place value tables/description type=video name=Kellye Testy on the importance of going into law during the coronavirus pandemic | Homeroom with Sal thumb=https://i.ytimg.com/vi/A2DccuyHlFw/default.jpg URL=http://www.youtube.com/watch?v=A2DccuyHlFw description=Whether you’re just curious about a career in the legal profession or prepping for the LSAT, next Monday’s Daily Homeroom is for you. Kellye Testy, President & CEO of the Law School Admission Council will join Sal to chat about why students should consider legal education, and answer questions about law school and the LSAT. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=The structures of informational texts | Reading | Khan Academy thumb=https://i.ytimg.com/vi/D0YUpfLofgQ/default.jpg URL=http://www.youtube.com/watch?v=D0YUpfLofgQ description=Buildings and essays: they’re similar in an unexpected way! They both have STRUCTURE. We’ll explore five different ways to structure a piece of nonfiction writing, using as our example the greatest food in the world… the pizza. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: photo of the John Hancock center licensed under a Creative Commons 3.0 Attribution-Share-Alike license: https://commons.wikimedia.org/wiki/File:John_Hancock_Center_2.jpg photo of the Abdoun Bridge licensed from I, Producer, CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=5055834 Rebar and shingles photograph licensed under a CC 2.0 attribution license: https://commons.wikimedia.org/wiki/File:Rebar_and_shingles.jpg/description type=video name=Ask me anything with Sal Khan: May 15 | Homeroom with Sal thumb=https://i.ytimg.com/vi/F06QN7sH9VA/default.jpg URL=http://www.youtube.com/watch?v=F06QN7sH9VA description=We are going live with Sal Khan every weekday at noon PT / 3 pm ET! ⏰ Join us for Daily Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Richard Carranza on how NYC is handling school closures during Covid-19 | Homeroom with Sal thumb=https://i.ytimg.com/vi/GRorRbPtRcA/default.jpg URL=http://www.youtube.com/watch?v=GRorRbPtRcA description=What is this crisis showing us about the future of education? Richard Carranza, Chancellor of NYC Dept. of Education, runs the largest public school system in the nation serving 1.1 million students. Join Sal and Richard as they discuss the challenges and opportunities facing public education in America. Bring your questions about equity, excellence, leadership and more for live Q&A! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=NYT's David Leonhardt on inequality, the economy and the Covid-19 crisis | Homeroom with Sal thumb=https://i.ytimg.com/vi/q8zEt9AKNxw/default.jpg URL=http://www.youtube.com/watch?v=q8zEt9AKNxw description=As part of a new series on how America can emerge from the coronavirus crisis fairer and more resilient, New York Times Opinion recently launched a project on economic inequality. David Leonhardt, Senior Editor of the Opinion section, joins Sal for Daily Homeroom on Wednesday at 12 pm PT / 3 pm ET to dive into this important and timely topic. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Adam Brown on how to be resilient during a time of high stress and anxiety | Homeroom with Sal thumb=https://i.ytimg.com/vi/q8SvZkpjy40/default.jpg URL=http://www.youtube.com/watch?v=q8SvZkpjy40 description=How can we help our children and students to become more resilient? How might we better integrate mental health and education? Join Sal Tuesday at noon PT as he explores these topics with Adam Brown, an associate professor in psychology at The New School for Social Research and an expert in trauma, mental health and resilience. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Learn How to Use Pixar in a Box with Your Students thumb=https://i.ytimg.com/vi/w4feKuG-xM0/default.jpg URL=http://www.youtube.com/watch?v=w4feKuG-xM0 description=We know this is a tough time for teachers and students alike — especially when it comes to sparking the joy of learning. That's why we're excited to show you "Pixar in a Box" — a collaboration between Khan Academy and Pixar Animation Studios that's all about generating curiosity and excitement, even in tough times. Covering a range of subjects — from math to science to the humanities — your students will learn how to animate bouncing balls, build a swarm of robots, and make virtual fireworks explode! And you'll learn directly from an expert Khan Academy teacher who uses this curriculum with her own students. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org, Novartis, and Fastly. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for Supporting Students in Special Education thumb=https://i.ytimg.com/vi/rRVUnuXHd5Q/default.jpg URL=http://www.youtube.com/watch?v=rRVUnuXHd5Q description=Want to learn how to use Khan Academy to best support your students in Special Education? This is your chance to get advice directly from an expert Khan Academy Special Education teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for ELA thumb=https://i.ytimg.com/vi/Dm7sbR37_K8/default.jpg URL=http://www.youtube.com/watch?v=Dm7sbR37_K8 description=Want to learn how to use Khan Academy to help your students master ELA skills? This is your chance to get advice directly from an expert Khan Academy ELA teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for Supporting English Language Learners thumb=https://i.ytimg.com/vi/8kQjCbna2GI/default.jpg URL=http://www.youtube.com/watch?v=8kQjCbna2GI description=Want to learn how to use Khan Academy to best support your ELL students? This is your chance to get advice directly from an expert Khan Academy ELL teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org, Novartis, and Fastly. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for Middle School thumb=https://i.ytimg.com/vi/dPqH4ysdbmk/default.jpg URL=http://www.youtube.com/watch?v=dPqH4ysdbmk description=Want to learn how to use Khan Academy with your middle schoolers? This is your chance to get advice directly from an expert Khan Academy middle school teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Get a Tour of the Student Experience on Khan Academy thumb=https://i.ytimg.com/vi/U1MCv-msoY8/default.jpg URL=http://www.youtube.com/watch?v=U1MCv-msoY8 description=Want to see what the student experience on Khan Academy looks like? Get a full tour from Meaghan Pattani, Khan Academy's Professional Learning Leader, to better understand everything from registration to reviewing results. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org, Novartis, and Fastly. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for Elementary School thumb=https://i.ytimg.com/vi/HsCepVa8jX4/default.jpg URL=http://www.youtube.com/watch?v=HsCepVa8jX4 description=Want to learn how to use Khan Academy with your elementary students? This is your chance to get advice directly from an expert Khan Academy elementary school teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for Science thumb=https://i.ytimg.com/vi/La8mBJSZfiI/default.jpg URL=http://www.youtube.com/watch?v=La8mBJSZfiI description=Want to learn how to use Khan Academy to help your students master science? This is your chance to get advice directly from an expert Khan Academy science teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for Social Studies thumb=https://i.ytimg.com/vi/M8YVZbWX5i8/default.jpg URL=http://www.youtube.com/watch?v=M8YVZbWX5i8 description=Want to learn how to use Khan Academy to help your students master social studies skills? This is your chance to get advice directly from an expert Khan Academy social studies teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Khan Academy Best Practices for High School thumb=https://i.ytimg.com/vi/ijE1VeL0NYI/default.jpg URL=http://www.youtube.com/watch?v=ijE1VeL0NYI description=Want to learn how to use Khan Academy with your high schoolers? This is your chance to get advice directly from an expert Khan Academy high school teacher! We'll cover everything you need to get started and make the most of this tool. *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=Remote Learning Best Practices from a Cyber School Teacher thumb=https://i.ytimg.com/vi/RK_jAbffNmk/default.jpg URL=http://www.youtube.com/watch?v=RK_jAbffNmk description=We know the transition to remote learning has been tough. But who better to learn from than an educator who's been offering remote learning for years? Join our Khan Academy Ambassador, Mark Laser of Agora Cyber Charter School, to learn how best to: -Get started with remote learning -Engage your students -Track and grade student progress *About Khan Academy* Khan Academy is a nonprofit organization. Our mission is to provide a free, world-class education to anyone, anywhere. With more than one billion children world-wide being impacted by school closures, we are experiencing soaring demand for our free resources. Our ability to quickly increase our services is made possible by Bank of America, AT&T, Google.org and Novartis. If you are able, please consider making a donation: https://www.khanacademy.org/donate. Together, we can keep everyone learning./description type=video name=How to Bring Mastery Learning to Your Class... And Get Results Like Tim's! thumb=https://i.ytimg.com/vi/7mmG-G6OoFY/default.jpg URL=http://www.youtube.com/watch?v=7mmG-G6OoFY description=Tim Vandenberg shared his story earlier this month about using Mastery Learning to take his students from below grade level to far above it: https://www.youtube.com/watch?v=Q8YNn... Now learn how to do the same in your own classroom or school. And then grab Tim's slides here: http://khan.co/timimplementation/description type=video name=How I Helped My 6th Graders Ace Math... By Taking Them Back to Kindergarten! | Mastery Learning thumb=https://i.ytimg.com/vi/izLIgjaQ3G4/default.jpg URL=http://www.youtube.com/watch?v=izLIgjaQ3G4 description=Tim Vandenberg has been teaching 6th grade in Hesperia, California, for nearly 20 years. But it's only been in the last three years that he's been able to help his students (100% Free/Reduced Lunch, 90% Below Grade Level in Math) outperform not just their starting points - but students across the entire state. Come learn how Tim was able to bend the arc of his students' trajectories through the power of differentiation, mastery learning, and yes... starting over with kindergarten! BONUS RESOURCES 1) Bring mastery learning and Khan Academy to your classroom with this quick cheatsheet: https://bit.ly/khancheatsheet 2) Check out the videos Tim references by clicking into his slides: https://bit.ly/timsdeck 3) Share a summary of Tim's story and recommendations with your school or district leaders: https://bit.ly/tim4schools 4) Go deeper on these topics here: https://www.youtube.com/watch?v=lEBMvWEgVqM&list=PLnhtSiAy9Bpx2iSprM5AdOeRHWmHNvzNP&index=6&t=0s/description type=video name=Jorge Paulo Lemann on building a more equitable future in Brazil | Homeroom with Sal thumb=https://i.ytimg.com/vi/vh-pHVWyYMU/default.jpg URL=http://www.youtube.com/watch?v=vh-pHVWyYMU description=Join Sal as he speaks with a fascinating philanthropist & business leader Jorge Paulo Lemann, chairman of the board of Fundação Lemann, a non-profit organization focused on building a more equitable future in Brazil through leadership development and high-quality public education. We'll dive into education innovations during the Covid-19 pandemic. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=How to Engage + Motivate Your Students Even When You're Remote! thumb=https://i.ytimg.com/vi/22YaS_NzRSU/default.jpg URL=http://www.youtube.com/watch?v=22YaS_NzRSU description=We know that keeping your students engaged and motivated can challenging, even when you're in class with them! So doing the same when everyone is separated can feel nearly impossible. That's why we're thrilled to have Conor Corey, one of our Khan Academy Ambassadors, share his secrets for keeping students excited, even during the toughest of times./description type=video name=7 Tips for Effective Remote Learning with Khan Academy thumb=https://i.ytimg.com/vi/KJ1cv2xKGPM/default.jpg URL=http://www.youtube.com/watch?v=KJ1cv2xKGPM description=Doing remote learning well isn't just about technology. Join us to discover the other keys to successfully serving students from afar - including: -Setting up a schedule + routine -Supporting independent learning -Staying in touch -Using goals and milestones to keep students motivated -Addressing the emotional impact Get the slides here: http://khan.co/7tips-remote/description type=video name=Getting Started with Khan Academy for Remote Learning thumb=https://i.ytimg.com/vi/hnQCJ0Pzh9k/default.jpg URL=http://www.youtube.com/watch?v=hnQCJ0Pzh9k description=Want to learn how to use Khan Academy for remote learning? Join us for a quick walkthrough of how to get started, including: -Getting your students enrolled -Finding appropriate content and exercises -Differentiating content to help each student thrive -Reviewing results Then download our QuickStart Guide to get your class set-up: https://bit.ly/khanremotelearning/description type=video name=Ask me anything with Sal Khan: May 8 | Homeroom with Sal thumb=https://i.ytimg.com/vi/umxmAFN_K3U/default.jpg URL=http://www.youtube.com/watch?v=umxmAFN_K3U description=Ever wonder how the Khan Academy team creates our educational videos?🤔 In honor of Teacher Appreciation Week, Sal will answer your questions about creating engaging lessons. Join us on Friday at noon PT as they share the tools they use to create blackboard videos and ideas to help you take your remote learning to the next level.🚀 For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Khan Academy thanks our teachers thumb=https://i.ytimg.com/vi/6bwsF_bEISU/default.jpg URL=http://www.youtube.com/watch?v=6bwsF_bEISU description=#TeacherAppreciationWeek is every week for the Khan Academy team. Our gratitude for everything our teachers have taught us fuels us daily. #TeacherAppreciationWeek #ThankATeacher/description type=video name=UChicago's Jim Nondorf on authentic applications to get accepted into college | Homeroom with Sal thumb=https://i.ytimg.com/vi/-IPkEhZBWCw/default.jpg URL=http://www.youtube.com/watch?v=-IPkEhZBWCw description=Thinking ahead about college applications next fall and beyond? Tune in next Thursday at noon PT, when Jim Nondorf, Vice President and Dean of Admissions and Financial Aid at University of Chicago, will join Sal to discuss the future of higher education. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Angela Duckworth talks about helping children develop grit and resiliance | Homeroom with Sal thumb=https://i.ytimg.com/vi/Uz_oMfsPWsU/default.jpg URL=http://www.youtube.com/watch?v=Uz_oMfsPWsU description=Grit and resilience are traits teachers have in abundance, so Teacher Appreciation Week seemed like a great time to invite Angela Duckworth to join Sal on Daily Homeroom. They’ll discuss Angela’s New York Times bestselling book, "Grit: The Power of Passion and Perseverance." For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Creating objective summaries | Reading | Khan Academy thumb=https://i.ytimg.com/vi/5Eepm6Px5pc/default.jpg URL=http://www.youtube.com/watch?v=5Eepm6Px5pc description=All we want are the facts! Today, let's talk about what it means to be objective (and how difficult that is!). When you're summarizing a text, leave your opinions out—save them for analysis! When you summarize a text, do your best to leave judgment behind. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: "Dragnet" is in the public domain, so I snagged the theme from the radio show! The image of Joe Friday is one I traced from a promotional production still./description type=video name=How can a text have two or more main ideas? | Reading | Khan Academy thumb=https://i.ytimg.com/vi/GvWH9ZXy9gY/default.jpg URL=http://www.youtube.com/watch?v=GvWH9ZXy9gY description=Unless you’re a quantum particle, you can’t be in two places at once. But your mind *CAN*. Texts can contain more than one main idea: multiple, equally-important arguments can be threaded through a single text. Let’s talk about how that works! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: The public domain map of the United States comes from Wikipedia! “How can you be in two places at once when you’re not anywhere at all?” is the name of a very goofy counterculture comedy record from the 60s by The Firesign Theatre. The song I sing a snippet of is from Track 2 on the CD version, “Zeno’s Evil”. Prepare yourself: it is very dense./description type=video name=How do writers use examples to get their points across? | Reading | Khan Academy thumb=https://i.ytimg.com/vi/g9qWsEJakbQ/default.jpg URL=http://www.youtube.com/watch?v=g9qWsEJakbQ description=Examples are very powerful tools! As writers, we can use them to make arguments stronger. As readers, we're engaged in a push-and-pull with writers, and have to think critically about how examples are used in a text. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask me anything with Sal Khan: #GivingTuesdayNow | Homeroom with Sal thumb=https://i.ytimg.com/vi/Mb5LgmITfK8/default.jpg URL=http://www.youtube.com/watch?v=Mb5LgmITfK8 description=#GivingTuesdayNow is a day where everyone can help respond to COVID-19. If you want to help us #KeepEveryoneLearning, join us for a ✨special fundraising✨ Daily Homeroom with Sal Tuesday at noon PT. 💝 Tune in to ask Sal anything, hear uplifting stories from our users, and to support Khan Academy’s efforts! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Finding your footing in uncertain times: Balancing multiple kids with multiple schedules thumb=https://i.ytimg.com/vi/xOWGLgEjp4Q/default.jpg URL=http://www.youtube.com/watch?v=xOWGLgEjp4Q description=We've heard lots of questions from parents about how to juggle the needs of multiple kids, while being productive at work, and managing a hundred other tasks... all while staying (relatively) sane during an apocalypse. Join us as we chat with Dr. Lindsay Portnoy, an education professor at Northeastern, a parent of multiple kids, and an author with the Association for Supervision and Curriculum Development. She shares her top tips around building clarity, curation, creativity, compassion, and curiosity for parents to support their kids and themselves. View the slides here: https://bit.ly/FindingFootingWebinarSlides/description type=video name=Conor Corey on teaching and motivating students during distance learning | Homeroom with Sal thumb=https://i.ytimg.com/vi/zTzL_vpmdqc/default.jpg URL=http://www.youtube.com/watch?v=zTzL_vpmdqc description=On Monday we’re kicking off Teacher Appreciation Week with a special teacher-filled Daily Homeroom! Sal will be joined by Khan Academy Ambassador Conor Corey, an expert teacher and father of four. Come join us to #ThankATeacher, get Conor’s tips for keeping your students and kids motivated, and to celebrate educators around the world.🎉 For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Caroline Hu Flexer: research shows Khan Academy Kids boosts pre-literacy skills | Homeroom with Sal thumb=https://i.ytimg.com/vi/jt0MRRfPT3g/default.jpg URL=http://www.youtube.com/watch?v=jt0MRRfPT3g description=New research shows that the Khan Academy Kids app boosts pre-literacy skills among preschool-aged children of low income families. Caroline Hu Flexer, co-founder of Khan Academy Kids, will join Sal on Daily Homeroom on Friday at noon PT to talk about the research and share the new teacher tools that we just launched! Teachers have been telling us that they would like an easy way to share Khan Academy Kids with their entire class. Now they can! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Laura Overdeck on reducing math anxiety and connecting math with real life | Homeroom with Sal thumb=https://i.ytimg.com/vi/R9kBwEtepKE/default.jpg URL=http://www.youtube.com/watch?v=R9kBwEtepKE description=Are you a parent or teacher looking for engaging, hands-on learning activities for kids? Laura Overdeck, founder of Bedtime Math and Fun Factor, will join Sal on Daily Homeroom on Thursday at noon PT. Learn how Fun Factor empowers tangible learning for students grades 3-5 during school closures. Get tips to help kids love numbers and connect math with real life. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=How to motivate and engage your kids in learning while at home thumb=https://i.ytimg.com/vi/rEhDTYi85CY/default.jpg URL=http://www.youtube.com/watch?v=rEhDTYi85CY description=We’ve received many requests from parents about ways to keep their kids engaged and learning during school closures. Join us as we chat with Conor Corey, an expert teacher, Khan Academy Ambassador, and parent of 4. Conor will share his top tips and strategies for teaching and motivating kids. You can find the handout from the webinar here: https://bit.ly/MotivationTipsHandout You can view the daily schedules mentioned in the webinar, and all of our other remote learning resources here: https://keeplearning.khanacademy.org//description type=video name=Anne Finucane talks about supporting communities through the Covid-19 crisis. | Homeroom with Sal thumb=https://i.ytimg.com/vi/dUHGP-N1w6I/default.jpg URL=http://www.youtube.com/watch?v=dUHGP-N1w6I description=Many organizations are making grants and pledges to strengthen local communities during this time. Anne Finucane, vice chairman at Bank of America, will join Sal on Daily Homeroom on Wednesday at noon PT to talk about Bank of America’s commitments, share how she approaches leadership during a crisis, and give advice to young people who are interested in pursuing a path in leadership. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Crystalline and amorphous polymers | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/p5mXv39n9GM/default.jpg URL=http://www.youtube.com/watch?v=p5mXv39n9GM description=Polymers can exist as both crystalline and amorphous solids. In fact, most polymers are semicrystalline, which means that they contain a mixture of crystalline and amorphous regions. In this video, we'll see different examples of semicrystalline and amorphous polymers and learn how their structures can be represented using particulate models. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:solids-liquids-and-gases/v/crystalline-and-amorphous-polymers Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Mellody Hobson on investing in the market during Covid-19 | Homeroom with Sal thumb=https://i.ytimg.com/vi/YWyLVI_4bo0/default.jpg URL=http://www.youtube.com/watch?v=YWyLVI_4bo0 description=Looking for advice about managing your personal finances during this unprecedented time? Mellody Hobson, Co-CEO and President of Ariel Investments, will join Sal on Daily Homeroom on Tuesday at noon PT to share her perspective on the markets and the importance of financial literacy. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Reading (and comparing) multiple books | Reading | Khan Academy thumb=https://i.ytimg.com/vi/1clS_RN6NuI/default.jpg URL=http://www.youtube.com/watch?v=1clS_RN6NuI description=You know what's better than reading a book? Reading TWO BOOKS. Let's talk about how books and stories relate to one another, how book series work, and what you can learn from comparing stories from around the world. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=What do pictures bring to a story? | Reading | Khan Academy thumb=https://i.ytimg.com/vi/0zoZmYbJ3tE/default.jpg URL=http://www.youtube.com/watch?v=0zoZmYbJ3tE description=Don't skip the pictures in a book! Good readers use illustrations to fill in details about stories. Let's talk about how understanding pictures can help you understand stories even better. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attribution: This video uses images that are the original work of the Core Knowledge ® Foundation, made available through licensing under a Creative Commons Attribution-NonCommercial- ShareAlike 4.0 International License. This does not in any way imply that the Core Knowledge Foundation endorses this work./description type=video name=A story's point of view | Reading | Khan Academy thumb=https://i.ytimg.com/vi/GGS3NcmAZnw/default.jpg URL=http://www.youtube.com/watch?v=GGS3NcmAZnw description=Stories have points of view. Let's talk about the three flavors they can come in! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: "Strong Surf" is licensed under an attribution license from Andrew1280 on FreeSound. This sound effect makes David miss Lake Michigan terribly: https://freesound.org/people/andrew1280/sounds/41191/ "Full Stop" from Ketsa's "End is Beginning", licensed under a Creative Commons Attribution/NonCommercial/No Derivatives 4.0 license: https://freemusicarchive.org/music/Ketsa/End_is_Beginning/Full_Stop/description type=video name=The elements of a drama | Reading | Khan Academy thumb=https://i.ytimg.com/vi/imlwmNO9xlY/default.jpg URL=http://www.youtube.com/watch?v=imlwmNO9xlY description=Let's talk about how to read a play! Dramas are special stories. They're written to be performed aloud, and that means that you read them differently from how you'd read a story or a poem. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask Sal Anything! Daily Homeroom Live: Monday, April, 27 thumb=https://i.ytimg.com/vi/9NdxiyCCjSU/default.jpg URL=http://www.youtube.com/watch?v=9NdxiyCCjSU description=We are going live with Sal Khan every weekday at noon PT / 3 pm ET! ⏰ Join us for Daily Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeschooling your kids? Learn how to use our weekly math learning plans thumb=https://i.ytimg.com/vi/X9TFM-UxJLM/default.jpg URL=http://www.youtube.com/watch?v=X9TFM-UxJLM description=Parents, for many of you, your school may be closed through the end of the year, and you may be wondering how to keep your child learning while at home. We're here to help. We've created step-by-step sample weekly math schedules for grades 3 - Algebra 2, and designed them to be a fun, structured way to keep kids learning and reduce the impact of the summer slide and school closures. In this webinar recording, we'll walk you through the schedules and give tips on how you can adapt them for your family. View the weekly math schedules here: https://bit.ly/KA-Weekly-LPs View the slides here: https://bit.ly/WeeklyLearningPlansSlides/description type=video name=General Stanley McChrystal on leadership & navigating complex challenges | Homeroom with Sal thumb=https://i.ytimg.com/vi/qS4u9VJqPag/default.jpg URL=http://www.youtube.com/watch?v=qS4u9VJqPag description=What does effective leadership look like in a crisis? Retired four-star Gen. Stanley McChrystal will join Sal on Daily Homeroom on Friday at noon PT to share what he’s learned from building teams and navigating complex challenges. Get tips on staying focused, motivated, and disciplined. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Gas mixtures and partial pressures | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/A2xi-jEqpmg/default.jpg URL=http://www.youtube.com/watch?v=A2xi-jEqpmg description=For a mixture of ideal gases, the total pressure exerted by the mixture equals the sum of the pressures that each gas would exert on its own. This observation, known as Dalton's law of partial pressures, can be written as follows: P(total) = P₁ + P₂ + P₃ + ... where P₁, P₂, and P₃ are the partial pressures of the different gases in the mixture, and P(total) is the total pressure of the mixture. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:ideal-gas-law/v/introduction-to-partial-pressure Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ray Dalio on how the pandemic is impacting the economy | Homeroom with Sal thumb=https://i.ytimg.com/vi/agtjujKH8Vo/default.jpg URL=http://www.youtube.com/watch?v=agtjujKH8Vo description=Want to know how the pandemic is impacting the economy and how it fits into history? Ray Dalio, Founder and Chairman of Bridgewater Associates and author of The New York Times Best-Seller, Principles: Life & Work, will join Sal to discuss the economy and outline how current events relate to past historical cycles. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=The ideal gas law (PV = nRT) | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/qObcdZj8YTM/default.jpg URL=http://www.youtube.com/watch?v=qObcdZj8YTM description=The ideal gas law (PV = nRT) relates the macroscopic properties of ideal gases. An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume). No gas is truly ideal, but the ideal gas law does provide a good approximation of real gas behavior under many conditions. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:ideal-gas-law/v/ideal-gas-equation-pv-nrt Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=London dispersion forces | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/5OT5l-NZS24/default.jpg URL=http://www.youtube.com/watch?v=5OT5l-NZS24 description=London dispersion forces result from the coulombic interactions between instantaneous dipoles. Dispersion forces are present between all molecules (and atoms) and are typically greater for heavier, more polarizable molecules and molecules with larger surface areas. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:intermolecular-forces/v/london-dispersion-forces Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Calculating partial pressures | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/6jaMJHiza4s/default.jpg URL=http://www.youtube.com/watch?v=6jaMJHiza4s description=In a mixture of ideal gases, each gas behaves independently of the other gases. As a result, we can use the ideal gas law to calculate the partial pressure of each gas in the mixture. Once we know the partial pressures of all of the gases, we can sum them using Dalton's law to find the total pressure of the mixture. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:ideal-gas-law/v/partial-pressure Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=College Board's Lorraine Hastings on preparing for the SAT during school closure | Homeroom with Sal thumb=https://i.ytimg.com/vi/DT0Nl8wVEzM/default.jpg URL=http://www.youtube.com/watch?v=DT0Nl8wVEzM description=SAT exams planned for May and June will not take place due to school closures. Lorraine Hastings from the College Board will join Sal on Daily Homeroom to share updates on the SAT and offer advice for how students can prepare. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Worked example: Using the ideal gas law to calculate number of moles | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/KnWEhXmJwdU/default.jpg URL=http://www.youtube.com/watch?v=KnWEhXmJwdU description=The ideal gas law relates four macroscopic properties of ideal gases (pressure, volume, number of moles, and temperature). If we know the values of three of these properties, we can use the ideal gas law to solve for the fourth. In this video, we'll use the ideal gas law to solve for the number of moles (and ultimately molecules) in a sample of gas. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:ideal-gas-law/v/worked-example-using-the-ideal-gas-law-to-calculate-number-of-moles Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Using the ideal gas law to calculate a change in volume | Khan Academy thumb=https://i.ytimg.com/vi/bQ5vHcFlT78/default.jpg URL=http://www.youtube.com/watch?v=bQ5vHcFlT78 description=The ideal gas law can be used to describe a change in state for an ideal gas. In this video, we'll apply the ideal gas law to the initial and final states of a gas to see how changes in temperature and pressure affect the volume of the gas. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:ideal-gas-law/v/worked-example-using-the-ideal-gas-law-to-calculate-a-change-in-volume Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Tour of the Khan Academy student experience thumb=https://i.ytimg.com/vi/XA4hjLkyCBw/default.jpg URL=http://www.youtube.com/watch?v=XA4hjLkyCBw description=What do students see when they log in to Khan Academy? Meaghan Pattani, who leads teacher education at Khan, walks Kim through what students see when they receive assignments, mastery goals, and mastery challenges./description type=video name=Ask me anything with Sal Khan: April 21 | Homeroom with Sal thumb=https://i.ytimg.com/vi/XrW1HYwY2mY/default.jpg URL=http://www.youtube.com/watch?v=XrW1HYwY2mY description=We are going live with Sal Khan every weekday at noon PT / 3 pm ET! ⏰ Join us for Daily Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Using similarity to estimate ratio between side lengths | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/M-jQMTWBuzQ/default.jpg URL=http://www.youtube.com/watch?v=M-jQMTWBuzQ description=When two right triangles share an acute angle measure, the ratios of the corresponding side lengths within the triangles are equal. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-ratios-in-right-triangles . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Similar shapes & transformations thumb=https://i.ytimg.com/vi/H-YuW_uckz4/default.jpg URL=http://www.youtube.com/watch?v=H-YuW_uckz4 description=Given a pair of polygons, reason about whether or not they are similar in terms of rigid transformations and dilations./description type=video name=Volume of pyramids intuition | Solid geometry | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/fD52yzLF8DA/default.jpg URL=http://www.youtube.com/watch?v=fD52yzLF8DA description=The volume of a pyramid is a fraction of the volume of the rectangular prism that encloses it. We can find out what that fraction is by cutting a prism into several pyramids. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-solids/hs-geo-cavalieri-s-principle . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Using right triangle ratios to approximate angle measure | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/fPXQTEYjF-o/default.jpg URL=http://www.youtube.com/watch?v=fPXQTEYjF-o description=Because of similarity, all right triangles with a given acute angle measure have equal ratios between their side lengths. So if we know two of the side lengths of a right triangle, we can figure out the angle measures, too! View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-ratios-in-right-triangles . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Determining congruent triangles example thumb=https://i.ytimg.com/vi/vN3eI7IelSA/default.jpg URL=http://www.youtube.com/watch?v=vN3eI7IelSA description=Determining congruent triangles example/description type=video name=Ask me anything with Sal Khan: April 20 | Homeroom with Sal thumb=https://i.ytimg.com/vi/7pUEZbfd1Ms/default.jpg URL=http://www.youtube.com/watch?v=7pUEZbfd1Ms description=We are going live with Sal Khan every weekday at noon PT / 3 pm ET! ⏰ Join us for Daily Homeroom with Sal - be a part of our community and ask questions. Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Jim Steyer on safely keeping children connected & engaged during school closures | Homeroom with Sal thumb=https://i.ytimg.com/vi/BeJFiz-BwT8/default.jpg URL=http://www.youtube.com/watch?v=BeJFiz-BwT8 description=How are teens handling school closures? Jim Steyer, CEO of Common Sense Media, will join Sal on Daily Homeroom Friday at noon PT to share findings from their survey of American teenagers and also talk about how to keep your children from PreK to 12th grade connected and engaged during this time of remote learning and social distancing. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=US taxation trends in post war era | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/YPCPsZl6QNY/default.jpg URL=http://www.youtube.com/watch?v=YPCPsZl6QNY description=US taxation trends in the post war era. View more lessons or practice this subject at https://www.khanacademy.org/economics.... Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?ut... Volunteer here: https://www.khanacademy.org/contribut.../description type=video name=Ask me anything with Sal Khan: April 16 | Homeroom with Sal thumb=https://i.ytimg.com/vi/fsNifxT8KCY/default.jpg URL=http://www.youtube.com/watch?v=fsNifxT8KCY description=Just because we’re socially distanced, doesn’t mean we have to be alone. Join our community by tuning into Daily Homeroom with Sal on Thursday at noon PT / 3 pm ET! ⏰ Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Representing solids, liquids, and gases using particulate models | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/4Q45iIeMdCM/default.jpg URL=http://www.youtube.com/watch?v=4Q45iIeMdCM description=In this video, we'll learn how to represent solids, liquids, and gases using particulate models. The particles in a solid are either highly ordered (if the solid is crystalline) or have no regular arrangement (if the solid is amorphous). In both cases, the motion of the particles is limited. The particles in a liquid are close together and are constantly moving and colliding. Finally, the particles in a gas are generally well-separated and are in constant, random motion. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:solids-liquids-and-gases/v/representing-solids-liquids-and-gases-using-particulate-models Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Per capita GDP trends over past 70 years | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/t6XIi-Qp-Rs/default.jpg URL=http://www.youtube.com/watch?v=t6XIi-Qp-Rs description=Analysis of how well average inflation-adjusted after-tax income for the bottom 90% has tracked per capita GDP over the past 70 years. View more lessons or practice this subject at https://www.khanacademy.org/economics-finance-domain/macroeconomics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask me anything with Sal Khan: April 15 | Homeroom with Sal thumb=https://i.ytimg.com/vi/-XNiAfDE6zg/default.jpg URL=http://www.youtube.com/watch?v=-XNiAfDE6zg description=We are going live with Sal Khan Wednesday at noon PT / 3 pm ET! ⏰ Join us for Daily Homeroom with Sal - be a part of our community and ask Sal anything! Hope to see you soon! For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Quick guide to the 2020 AP US History exam | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/BBotNyLMNB4/default.jpg URL=http://www.youtube.com/watch?v=BBotNyLMNB4 description=What's different in the 2020 AP US History test? Kim Kutz Elliott walks you through what to expect with the new exam format and scoring. If you or a student you know needs help getting access to the technology they need to complete the online test, fill out the College Board's form here: https://collegeboard.tfaforms.net/74 If you'd like to check out the College Board's updated scoring rubric for the 2020 DBQ, you can find it here: https://apcentral.collegeboard.org/pdf/ap-history-rubric-2020-dbq.pdf/description type=video name=Dr. Luis von Ahn (Duolingo) & Sal Khan share tips for effective digital learning | Homeroom with Sal thumb=https://i.ytimg.com/vi/PNdktgaHBu4/default.jpg URL=http://www.youtube.com/watch?v=PNdktgaHBu4 description=Need tips for how to best learn a language? Dr. Luis von Ahn, CEO and co-founder of Duolingo, will join Sal on Daily Homeroom to share his advice for staying motivated to learn right now. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Introduction to series analyzing income and wealth trends in the US | Khan Academy thumb=https://i.ytimg.com/vi/SMOJC8gBSqc/default.jpg URL=http://www.youtube.com/watch?v=SMOJC8gBSqc description=Introduction to series analyzing income and wealth trends in the US, a partnership with the New York Times. View more lessons or practice this subject at https://www.khanacademy.org/economics-finance-domain/macroeconomics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparing income trends across countries | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/PfcVXHf0m6k/default.jpg URL=http://www.youtube.com/watch?v=PfcVXHf0m6k description=Analyzing charts from New York Times to compare income trends across several countries over a 30 year time period. View more lessons or practice this subject at https://www.khanacademy.org/economics-finance-domain/macroeconomics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Looking at trends in inflation adjusted income since 1980 | Khan Academy thumb=https://i.ytimg.com/vi/LLBAHS1fd_I/default.jpg URL=http://www.youtube.com/watch?v=LLBAHS1fd_I description=Leveraging a diagram from the New York Times to look at trends in inflation adjusted income since 1980. Discussion of possible levers that could be driving the trends. View more lessons or practice this subject at https://www.khanacademy.org/economics-finance-domain/macroeconomics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Daily Live Homeroom With Sal: Monday, April 13 thumb=https://i.ytimg.com/vi/--GOuJ_VvOE/default.jpg URL=http://www.youtube.com/watch?v=--GOuJ_VvOE description=Teachers - ready to get started with remote learning? Meaghan and Jeremy from the Khan Academy team are both former teachers and are ready to share their top tips with you as well as answer your questions. Join us Monday at noon PT / 3 pm ET for Daily Homeroom with Sal. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=The elements of a story | Reading | Khan Academy thumb=https://i.ytimg.com/vi/Zr1xLtSMMLo/default.jpg URL=http://www.youtube.com/watch?v=Zr1xLtSMMLo description=Did you know that many stories have a shape? Let's discuss what that means as we explore the parts of a story. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: "Street Dancing" by Timecrawler 82 is licensed under a Creative Commons Attribution License, and can be found here: https://freemusicarchive.org/music/Timecrawler_82/Osaka_Lights/Street_Dancing/description type=video name=The elements of a poem | Reading | Khan Academy (unlisted) thumb=https://i.ytimg.com/vi/zFNnbxCZPBU/default.jpg URL=http://www.youtube.com/watch?v=zFNnbxCZPBU description=Let's talk about how poems work! Poetry is a special kind of writing—if ordinary writing is like talking, then poetry is like singing. This video will describe the parts of poems, and how to think about them. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ask me anything with Sal Khan: April 10 | Homeroom with Sal thumb=https://i.ytimg.com/vi/O0S_OIx95Ro/default.jpg URL=http://www.youtube.com/watch?v=O0S_OIx95Ro description=We are going live with Sal Khan Friday at noon PT / 3 pm ET! ⏰ Join us for Daily Homeroom with Sal - be a part of our community and ask Sal anything. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Molecular solids | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/6mBhd8whoWk/default.jpg URL=http://www.youtube.com/watch?v=6mBhd8whoWk description=Molecular solids are composed of discrete molecules held together by intermolecular forces. Because these interactions are relatively weak, molecular solids tend to be soft and have low to moderate melting points. Molecular solids are also poor conductors of electricity because their valence electrons are tightly held within each individual molecule. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:properties-of-solids/v/molecular-solids Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Covalent network solids | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/le-ttBDN_FM/default.jpg URL=http://www.youtube.com/watch?v=le-ttBDN_FM description=Covalent network solids are composed of atoms covalently bonded together into a three-dimensional network or layers of two-dimensional networks. Due to the strength of the covalent bonds, covalent network solids tend to have high melting points. Three-dimensional network solids (such as diamond or silica) are typically hard and rigid, whereas two-dimensional network solids (such as graphite) are much softer due to the ease with which the network layers can slide past each other. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:properties-of-solids/v/covalent-network-solids Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Superintendent Dr. Jesus Jara on supporting students during school closures | Homeroom with Sal thumb=https://i.ytimg.com/vi/VDRAtu15B7E/default.jpg URL=http://www.youtube.com/watch?v=VDRAtu15B7E description=What are the big issues facing school districts today? Dr. Jesus Jara, superintendent of the 5th largest district in the U.S., shares his perspective on how schools can move forward to keep students engaged. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=The Child Mind Institute on supporting children during Covid-19 | Homeroom with Sal thumb=https://i.ytimg.com/vi/6pQLsRGapwQ/default.jpg URL=http://www.youtube.com/watch?v=6pQLsRGapwQ description=We are all going through a lot. How can you support your children during this time? Clinical psychologist Dave Anderson, PhD, and clinical neuropsychologist Laura Phillips, PsyD, ABPdN, of Child Mind Institute will join Sal on Daily Homeroom to discuss how you can understand and support your children's emotional health and well being. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Khan Academy learning plans for school closures thumb=https://i.ytimg.com/vi/ltiO5cZg1A4/default.jpg URL=http://www.youtube.com/watch?v=ltiO5cZg1A4 description=Math learning plans (grades 3-8 + Algebra I, Geometry and Algebra II): 3rd grade learning plan (https://bit.ly/KA-3-LearningPlan) 4th grade learning plan (https://bit.ly/KA-4-LearningPlan) 5th grade learning plan (https://bit.ly/KA-5-LearningPlan) 6th grade learning plan (https://bit.ly/KA-6-LearningPlan) 7th grade learning plan (https://bit.ly/KA-7-LearningPlan) 8th grade learning plan (https://bit.ly/KA-8-LearningPlan) Geometry learning plan (https://bit.ly/KA-Geometry-LearningPlan) Algebra 1 learning plan (https://bit.ly/KA-Algebra1-LearningPlan) Algebra 2 learning plan (https://bit.ly/KA-Algebra2-LearingPlan)/description type=video name=David Coleman, College Board CEO, on school closures impact to SAT & AP exams | Homeroom with Sal thumb=https://i.ytimg.com/vi/bgCVfwBI5sA/default.jpg URL=http://www.youtube.com/watch?v=bgCVfwBI5sA description=How are school closures affecting the SAT and AP Exams? David Coleman, CEO of the College Board, will be our guest on Daily Homeroom with Sal this Tuesday at noon PT to answer your questions. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Daily Homeroom with Sal: Monday, April 6 thumb=https://i.ytimg.com/vi/DzTRN7sfrmY/default.jpg URL=http://www.youtube.com/watch?v=DzTRN7sfrmY description=Have questions about studying for the SAT and AP Exams during school closures? Adam Green from the Khan Academy content team will join Sal on Daily Homeroom this Monday at noon PT to offer expert advice for parents and students. For more information visit: keeplearning.khanacademy.org Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Understanding theme | Reading | Khan Academy thumb=https://i.ytimg.com/vi/MAu3e5GZo4k/default.jpg URL=http://www.youtube.com/watch?v=MAu3e5GZo4k description=A theme is an important idea that is woven throughout a story. It’s not the plot or the summary, but something a little deeper. A theme links a big idea about our world with the action of a text. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=For parents: Setting a daily learning schedule for middle school students thumb=https://i.ytimg.com/vi/lV2pRwGQVis/default.jpg URL=http://www.youtube.com/watch?v=lV2pRwGQVis description=Parents, are you wondering how to structure a day of learning and fun for your middle school student? We’ll walk you through a sample daily schedule and give you suggestions on ways to adapt it for your family. We’ll also take a closer look at ways you can find relevant content on Khan Academy to support your child's learning. Get the slides here: khan.co/MiddleSchoolWebinarSlides/description type=video name=For parents: Setting a daily learning schedule for elementary school students thumb=https://i.ytimg.com/vi/mEEoERy2Ltk/default.jpg URL=http://www.youtube.com/watch?v=mEEoERy2Ltk description=Parents, are you wondering how to structure a day of learning and fun for your elementary school student? We’ll walk you through a sample daily schedule and give you suggestions on ways to adapt it for your family. We’ll also take a closer look at ways you can find relevant content on Khan Academy to support your child's learning. Get the slides here: http://khan.co/ElementaryWebinarSlides And get our daily schedules and many more resources for remote learning here: https://keeplearning.khanacademy.org//description type=video name=Corona Virus (COVID-19) discussion with Bill Gates thumb=https://i.ytimg.com/vi/NDnjXdDxEhk/default.jpg URL=http://www.youtube.com/watch?v=NDnjXdDxEhk description=Bill Gates joins Sal Khan to discuss how the world is responding to and changing with COVID-19. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Character actions in stories | Reading | Khan Academy thumb=https://i.ytimg.com/vi/tW9TG22U3Go/default.jpg URL=http://www.youtube.com/watch?v=tW9TG22U3Go description=Sound the Horn of Action, because today we’re going to be talking about character actions in stories. Understanding what characters do is key to your success as a reader. The way characters behave, towards themselves, towards others, towards objects, can tell us a lot about them—and can give us clues to the larger messages in a story. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Attributions: "Tuohitorvi" (a Finnish hunting horn) Licensed under an attribution license: https://freesound.org/people/juskiddink/sounds/166067//description type=video name=Michelle Carter gives tips for keeping children active & healthy during Covid-19 | Homeroom with Sal thumb=https://i.ytimg.com/vi/pwYiULX656A/default.jpg URL=http://www.youtube.com/watch?v=pwYiULX656A description=Sal answers questions from parents, teachers, and students about using Khan Academy for remote learning during school closures. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=For parents: setting a daily learning schedule for learners ages 2-7 thumb=https://i.ytimg.com/vi/UtJNBjei0a8/default.jpg URL=http://www.youtube.com/watch?v=UtJNBjei0a8 description=Parents, are you wondering how to structure a day of learning and fun for your young children? We’ll walk you through a sample daily schedule and give you suggestions on ways to adapt it for your family. We’ll also take a closer look at the Khan Academy Kids app and explain how you can use the app to support your child’s learning. Get the slides here: http://khan.co/KhanKidsWebinar2Handout Learn more about Khan Academy Kids, our free educational app for children ages 2-7 at http://www.khankids.org. Download now! http://khan.co/KhanKids-YT-Google http://khan.co/KhanKids-YT-Apple http://khan.co/KhanKids-YT-Amazon/description type=video name=Dr. David Anderson on supporting children's mental health during a crisis | Homeroom with Sal thumb=https://i.ytimg.com/vi/RLU87QEIOqA/default.jpg URL=http://www.youtube.com/watch?v=RLU87QEIOqA description=Balancing work and family can be tough at any time, but with school closures and social distancing, many of us are facing new and unexpected challenges. Clinical psychologist Dr. David Anderson of the Child Mind Institute will be our guest on Daily Homeroom with Sal on Wednesday at noon PT to share his tips on finding balance. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Teacher Tim Vandenberg shares how mastery learning worked for his class | Homeroom with Sal thumb=https://i.ytimg.com/vi/QXv_mu9mn9Q/default.jpg URL=http://www.youtube.com/watch?v=QXv_mu9mn9Q description=Teacher Tim Vandenberg’s students have achieved off-the-charts progress by using Khan Academy’s course mastery! He’ll join us on Daily Homeroom with Sal on Tuesday at noon PT to answer your questions. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Ask me anything with Sal Khan: March 30 | Homeroom with Sal thumb=https://i.ytimg.com/vi/HkOOLINm32g/default.jpg URL=http://www.youtube.com/watch?v=HkOOLINm32g description=Sal answers questions from parents, teachers, and students about using Khan Academy for remote learning during school closures. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Messages and morals | Reading | Khan Academy thumb=https://i.ytimg.com/vi/Tevlz2S2Mzk/default.jpg URL=http://www.youtube.com/watch?v=Tevlz2S2Mzk description=Morals are lessons about how to treat other people. Many stories have these lessons embedded in them. Let's learn how to dig them out! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Characters' thoughts and feelings | Reading | Khan Academy thumb=https://i.ytimg.com/vi/v7QuOr1PP7o/default.jpg URL=http://www.youtube.com/watch?v=v7QuOr1PP7o description=Understanding the thoughts and emotions of characters in a story: it's essentially mind-reading, and it's just as magical! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc “Walk That Dog” by U.S. Army Blues is licensed under a Public Domain license. “A Nice Life” by Ketsa is licensed under a creative commons attribution-noncommercial-noderivatives 4.0 license. "Rain, Moderate, C.wav" by InspectorJ (www.jshaw.co.uk) of Freesound.org/description type=video name=Khan Academy request for donations thumb=https://i.ytimg.com/vi/cjGERWYvzqk/default.jpg URL=http://www.youtube.com/watch?v=cjGERWYvzqk description=http://khanacademy.org/donate Khan Academy is a non profit organization supported by philanthropic donations. We are able to create interactive software, exercises, videos and articles for the world, for free because of this support. But we were already running at a deficit before the COVID-19 crisis and now our server load is 2.5x normal (approaching 100m learning minutes on Khan Academy *per day*). Please think about donating at http://khanacademy.org/donate/description type=video name=Ask me anything with Sal Khan: March 27 | Homeroom with Sal thumb=https://i.ytimg.com/vi/FYaWb2x5Y_M/default.jpg URL=http://www.youtube.com/watch?v=FYaWb2x5Y_M description=Thank goodness it’s Friday! Sal will be answering your questions live at noon PT / 3 pm ET during our Daily Homeroom with Sal. This is your chance to ask Sal anything and be a part of our community. We want to thank our partners Bank of America, AT&T, Google.org, and Novartis for helping us #KeepEveryoneLearning.✨/description type=video name=What is a main idea? | Reading | Khan Academy thumb=https://i.ytimg.com/vi/4swFGRhQoMI/default.jpg URL=http://www.youtube.com/watch?v=4swFGRhQoMI description=In this video, we'll discuss the main idea of a text: the key information the author wants you to understand. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Credits: Sound effects licensed under a Creative Commons 0 License: https://freesound.org/people/bajko/sounds/385279//description type=video name=Relationships between scientific ideas in a text | Reading | Khan Academy thumb=https://i.ytimg.com/vi/NbTeg3Fe_Ys/default.jpg URL=http://www.youtube.com/watch?v=NbTeg3Fe_Ys description=David illustrates how ideas connect to each other in a scientific nonfiction text, using the story of Mexican chemist and Nobel laureate Mario Molina. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Credits: "Air Hockey Saloon" by Chris Zabriskie, licensed under a Creative Commons Attribution License: https://freemusicarchive.org/music/Chris_Zabriskie/Vendaface/05_-_Air_Hockey_Saloon/description type=video name=What language shows cause and effect? | Reading | Khan Academy thumb=https://i.ytimg.com/vi/TiORG0pHskE/default.jpg URL=http://www.youtube.com/watch?v=TiORG0pHskE description=Let's use the wacky inventions of Rube Goldberg to explore cause and effect relationships in nonfiction writing! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Credits: Rube Goldberg's 1931 cartoon is in the public domain: https://commons.wikimedia.org/wiki/File:Self-operating_napkin_(Rube_Goldberg_cartoon_with_caption).jpg/description type=video name=Summarizing nonfiction | Reading | Khan Academy thumb=https://i.ytimg.com/vi/as7xe8UQEr4/default.jpg URL=http://www.youtube.com/watch?v=as7xe8UQEr4 description=Summaries are retellings of texts. Let's explore how they work for nonfiction! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Using context clues to figure out new words | Reading | Khan Academy thumb=https://i.ytimg.com/vi/CiNggzdWkIo/default.jpg URL=http://www.youtube.com/watch?v=CiNggzdWkIo description=When you're reading, it can be frustrating to encounter words you don't know! Try out these strategies, and use the word's context to figure out the word's meaning. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Making inferences in literary texts | Reading | Khan Academy thumb=https://i.ytimg.com/vi/INFWXZ_tl4M/default.jpg URL=http://www.youtube.com/watch?v=INFWXZ_tl4M description=What does it look like to make inferences from a story? Sherlock Bones, the legendary dogtective, will show us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Credits: "Bach - Brandenburg Concerto no3 mvt3 allegro" licensed under a Creative Commons ShareAlike license: https://freemusicarchive.org/music/Advent_Chamber_Orchestra/Selections_from_the_2005-2006_Season/description type=video name=Finding connections between ideas within a passage | Reading | Khan Academy thumb=https://i.ytimg.com/vi/Ox_JaA6nX_Q/default.jpg URL=http://www.youtube.com/watch?v=Ox_JaA6nX_Q description=How are ideas connected to each other in a text? What do sentences in a paragraph have in common with one another? Let's learn together. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Summarizing stories | Reading | Khan Academy thumb=https://i.ytimg.com/vi/SmnR4AZ-XM8/default.jpg URL=http://www.youtube.com/watch?v=SmnR4AZ-XM8 description=Using the example of the Three Little Pigs, let's explore how to summarize stories! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting text features | Reading | Khan Academy thumb=https://i.ytimg.com/vi/Zx2A9WAswCo/default.jpg URL=http://www.youtube.com/watch?v=Zx2A9WAswCo description=Let's talk about charts, maps, images, timelines, and other features of a passage that aren't just the words! They're just as important to comprehending a text as the words themselves. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Looking back at the text for evidence | Reading | Khan Academy thumb=https://i.ytimg.com/vi/iP7HnX5mr5c/default.jpg URL=http://www.youtube.com/watch?v=iP7HnX5mr5c description=Evidence is factual information that helps you know if something's true. It's proof! Learn how to back up your claims, whether you're talking about cookies, laws, or Voltron. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Credits: Courthouse Lobby Ambience licensed under a Creative Commons Attribution License: https://freesound.org/people/Tomlija/sounds/101237//description type=video name=Reading more than one source on a topic | Reading | Khan Academy thumb=https://i.ytimg.com/vi/lcXgSEF4iCM/default.jpg URL=http://www.youtube.com/watch?v=lcXgSEF4iCM description=Why is it important to read more than one text about a topic? We'll give you three reasons! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=First and secondhand accounts | Reading | Khan Academy thumb=https://i.ytimg.com/vi/vb0xGhKoFQ0/default.jpg URL=http://www.youtube.com/watch?v=vb0xGhKoFQ0 description=What's the difference between a firsthand account and a secondhand account? What's the difference between a story of an event that's told by someone who was there, and one told by someone who wasn't there? Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Making inferences in informational texts | Reading | Khan Academy thumb=https://i.ytimg.com/vi/gUW2jit3uvo/default.jpg URL=http://www.youtube.com/watch?v=gUW2jit3uvo description=Inferences: they're not guesses. They're conclusions that you draw from the text. What predictions or connections can you make, based on what's in front of you? Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc Credits: Music: "Horrible" by Mela off the album Mela Two is licensed under an attribution-sharealike license: https://freemusicarchive.org/music/Mela/Mela_two/MELA_-_Mela_Two_-_03_Horrible Sound effects: "Rain, Moderate, C.wav" by InspectorJ (www.jshaw.co.uk) of Freesound.org "Vintage telephone hanging up" by crz1990 of Freesound.org "Thunderclap at night.wav" by inchadney of Freesound.org Some sound effects used under a Creative Commons 0 License/description type=video name=Caroline Hu Flexer answers viewer questions about Khan Academy Kids | Homeroom with Sal thumb=https://i.ytimg.com/vi/Ya_LTzdMHSU/default.jpg URL=http://www.youtube.com/watch?v=Ya_LTzdMHSU description=Did you know that the Khan Academy Kids app is free, has no ads, and makes learning fun and engaging for kids ages 2 to 7? Caroline from the Khan Kids team is joining Sal tomorrow for Daily Homeroom at 11:30 am PT / 2:30 pm ET. Get your questions answered live by Sal and Caroline./description type=video name=Groups influencing policy outcomes | AP US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/6PfDtm8vvqI/default.jpg URL=http://www.youtube.com/watch?v=6PfDtm8vvqI description=How do political actors influence outcomes? In this video, Kim Kutz Elliott discusses when and how political parties, interest groups, bureaucratic agencies, and social movements may attempt to influence the policy process./description type=video name=Daily Live Homeroom With Sal: Wednesday, March 25 thumb=https://i.ytimg.com/vi/QRFmMtXO7hY/default.jpg URL=http://www.youtube.com/watch?v=QRFmMtXO7hY description=Teachers - tune in to Wednesday's Daily Homeroom live stream with Sal at noon PT. We'll have Khan Academy's professional learning lead Meaghan Pattani on the show to answer your questions./description type=video name=Ask me anything with Sal Khan: March 24 | Homeroom with Sal thumb=https://i.ytimg.com/vi/uE5rWxHbqfU/default.jpg URL=http://www.youtube.com/watch?v=uE5rWxHbqfU description=Sal answers questions from parents, teachers, and students about using Khan Academy for remote learning during school closures. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: YouTube: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Ask me anything with Sal Khan: March 23 | Homeroom with Sal thumb=https://i.ytimg.com/vi/16oP6LSZ8yM/default.jpg URL=http://www.youtube.com/watch?v=16oP6LSZ8yM description=Sal answers questions from parents, teachers, and students about using Khan Academy for remote learning during school closures. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Getting started with Khan Academy Kids thumb=https://i.ytimg.com/vi/GbrtpAd-fVE/default.jpg URL=http://www.youtube.com/watch?v=GbrtpAd-fVE description=Khan Academy Kids is an award-winning educational app for young learners ages two to seven. Watch this video to learn how to set up an account for your child and have them start learning. It’s quick and easy, and will take no more than a few minutes. Head over to our newly created Khan Kids channel on YouTube at https://www.youtube.com/channel/UC2ri4rEb8abnNwXvTjg5ARw Khan Academy Kids is available on iPhone, iPad, Google Play, and Amazon. It’s 100% free—no ads, no subscriptions. Download now! http://khan.co/YTKhanKids-AppleStore http://khan.co/YTKhanKids-GooglePlay http://khan.co/YTKhanKids-Amazon/description type=video name=Office Hours With Sal: Friday, March 20. Livestream From Homeroom thumb=https://i.ytimg.com/vi/ZX-CHOZUDFY/default.jpg URL=http://www.youtube.com/watch?v=ZX-CHOZUDFY description=Sal answers questions from parents, teachers, and students about using Khan Academy for remote learning during school closures. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Office Hours With Sal: Thursday, March 19. Livestream From Homeroom thumb=https://i.ytimg.com/vi/YINCDCrJRwQ/default.jpg URL=http://www.youtube.com/watch?v=YINCDCrJRwQ description=Sal answers questions from parents, teachers, and students about using Khan Academy for remote learning during school closures. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Getting Started with Khan Academy and Khan Academy Kids for Remote Learning thumb=https://i.ytimg.com/vi/s5M0UqFv9jQ/default.jpg URL=http://www.youtube.com/watch?v=s5M0UqFv9jQ description=Parents, are you curious about how to use Khan Academy and Khan Academy Kids for remote learning? Join us as we'll walk you through: - Setting your kids set up for learning with Khan Academy and Khan Academy Kids - Finding relevant content for them to learn You can view the slide deck here: http://khan.co/parent-quick-start-slides/description type=video name=A message from Sal on school closures and remote learning on Khan Academy. thumb=https://i.ytimg.com/vi/2B1EAhgAvPs/default.jpg URL=http://www.youtube.com/watch?v=2B1EAhgAvPs description=For more information visit: http://khan.co/KA-remote Join Sal daily on YouTube Live at 9 am PT, where he will answer questions from teachers, parents, and students. Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Office Hours With Sal: Wednesday, March 18. Livestream From Homeroom thumb=https://i.ytimg.com/vi/-Ulbm4XlBO8/default.jpg URL=http://www.youtube.com/watch?v=-Ulbm4XlBO8 description=Sal answers questions from parents, teachers, and students about using Khan Academy for remote learning during school closures. For more information visit: http://khan.co/KA-remote Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. If you’d like to contribute, please visit: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Homeroom Office Hours With Sal: Tuesday, March 17. Livestream From Homeroom thumb=https://i.ytimg.com/vi/Xo0FVv9Ku48/default.jpg URL=http://www.youtube.com/watch?v=Xo0FVv9Ku48 type=video name=Office Hours With Sal: Monday, March 16 Livestream From Homeroom thumb=https://i.ytimg.com/vi/84vWRnGU3Pc/default.jpg URL=http://www.youtube.com/watch?v=84vWRnGU3Pc type=video name=How Khan Academy is Here to Help During COVID-19 thumb=https://i.ytimg.com/vi/RK-tezfrjJs/default.jpg URL=http://www.youtube.com/watch?v=RK-tezfrjJs description=Our latest resources for parents, teachers, and students about remote learning during school closures: http://khan.co/KA-remote 🌎 If YouTube does not allow donations from your country, please go to: https://www.khanacademy.org/donate/description type=video name=Estimating actual COVID 19 cases (novel corona virus infections) in an area based on deaths thumb=https://i.ytimg.com/vi/mCa0JXEwDEk/default.jpg URL=http://www.youtube.com/watch?v=mCa0JXEwDEk description=Estimating actual COVID 19 cases (novel corona virus infections) in an area based on deaths. Based on work by Tomas Pueyo at: https://medium.com/@tomaspueyo/coronavirus-act-today-or-people-will-die-f4d3d9cd99ca Data from: https://github.com/midas-network/COVID-19/tree/master/parameter_estimates/2019_novel_coronavirus/description type=video name=Policy and the branches of government | AP US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/F6ZhV09DgMA/default.jpg URL=http://www.youtube.com/watch?v=F6ZhV09DgMA description=How can the other branches of government hold the bureaucracy accountable? In this video, Kim Kutz Elliott uses the response to the 2014 VA scandal as a case study./description type=video name=A live message from Sal on school closures thumb=https://i.ytimg.com/vi/Xtw7MS-J8uk/default.jpg URL=http://www.youtube.com/watch?v=Xtw7MS-J8uk description=Live video recorded on Friday, March 13, 2020. For more information visit: https://www.khanacademy.org/about/blog/post/611770255064350720/remote-learning-with-khan-academy-during-school https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=live&utm_campaign=schoolclosers/description type=video name=Ideology and policymaking | AP US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/6Zzcd90Cqag/default.jpg URL=http://www.youtube.com/watch?v=6Zzcd90Cqag description=Why does public policy change over time? In this video, Kim Kutz Elliott discusses how public policies generated at any given time reflect the attitudes and beliefs of citizens who choose to participate in politics at that time./description type=video name=Metallic solids | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/eJqBMPE1PLw/default.jpg URL=http://www.youtube.com/watch?v=eJqBMPE1PLw description=Metallic solids are composed of metal cations held together by a delocalized "sea" of valence electrons. Because their electrons are mobile, metallic solids are good conductors of heat and electricity. Metallic solids also tend to be malleable and ductile due to the ability of the metal nuclei to move past each other without disrupting the bonding. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:properties-of-solids/v/metallic-solids Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ionic solids | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/zax0lYlOdiI/default.jpg URL=http://www.youtube.com/watch?v=zax0lYlOdiI description=Ionic solids are composed of cations and anions held together by electrostatic forces. Due to the strength of these interactions, ionic solids tend to be hard, brittle and have high melting points. Ionic solids are poor conductors of electricity except when their ions are mobile, such as when a solid is melted or dissolved in solution. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:properties-of-solids/v/ionic-solids Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Information for congruency thumb=https://i.ytimg.com/vi/ygqvHLE3IKE/default.jpg URL=http://www.youtube.com/watch?v=ygqvHLE3IKE description=Information for congruency/description type=video name=Non-congruent shapes & transformations thumb=https://i.ytimg.com/vi/7Rb3V-HyVD8/default.jpg URL=http://www.youtube.com/watch?v=7Rb3V-HyVD8 description=A student reasons about whether a pair of circles are congruent by trying to map one onto the other using rigid transformations./description type=video name=Congruent shapes and transformations thumb=https://i.ytimg.com/vi/KZMRhWdzEPo/default.jpg URL=http://www.youtube.com/watch?v=KZMRhWdzEPo description=A student reasons about whether a pair of triangles are congruent by trying to map one onto the other using rigid transformations./description type=video name=Dilating triangles: find the error | Performing transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Kry9Bhp4PQg/default.jpg URL=http://www.youtube.com/watch?v=Kry9Bhp4PQg description=Dilating doesn't just shrink or grow a figure. The scale factor also changes the distance from each point to the center of dilation. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Proving the ASA and AAS triangle congruence criteria using transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/5EX7tYQEB_M/default.jpg URL=http://www.youtube.com/watch?v=5EX7tYQEB_M description=We can prove the angle-side-angle (ASA) and angle-angle-side (AAS) triangle congruence criteria using the rigid transformation definition of congruence. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-triangle-congruence . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Proving the SAS triangle congruence criterion using transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/CMTeCNILzwU/default.jpg URL=http://www.youtube.com/watch?v=CMTeCNILzwU description=We can prove the side-angle-side (SAS) triangle congruence criterion using the rigid transformation definition of congruence. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-triangle-congruence . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Proving the SSS triangle congruence criterion using transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/OIRZd5mDu_o/default.jpg URL=http://www.youtube.com/watch?v=OIRZd5mDu_o description=We can prove the side-side-side (SSS) triangle congruence criterion using the rigid transformation definition of congruence. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-triangle-congruence . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Geometric constructions: perpendicular line through a point off the line | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/-ltjjKgGY7o/default.jpg URL=http://www.youtube.com/watch?v=-ltjjKgGY7o description=We can construct a perpendicular line through a point off the line. The lines must be perpendicular because a rhombus's diagonals are perpendicular. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-bisectors . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Geometric constructions: congruent angles | Congruence | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/D9UXfNc1ePs/default.jpg URL=http://www.youtube.com/watch?v=D9UXfNc1ePs description=We can construct congruent angles with a compass and straight edge. They're congruent corresponding angles of congruent triangles. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-bisectors . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Geometric constructions: parallel line | Congruence | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/BHLre3UiIho/default.jpg URL=http://www.youtube.com/watch?v=BHLre3UiIho description=We can parallel lines with compass and straightedge by creating a pair of congruent corresponding angles on a transversal. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-bisectors . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Angle congruence equivalent to having same measure | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/t41aV0XkYPQ/default.jpg URL=http://www.youtube.com/watch?v=t41aV0XkYPQ description=Two angles are congruent if and only if they have the same measure. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-trans-and-congruence . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to Khan Academy Kids thumb=https://i.ytimg.com/vi/01VlLMdM65k/default.jpg URL=http://www.youtube.com/watch?v=01VlLMdM65k description=Khan Academy Kids is an award-winning educational app for young learners ages two to seven. The app engages kids in core subjects like early literacy, reading, writing, language, and math, while encouraging creativity and building social-emotional skills. Subscribe to our newly created Khan Academy Kids channel for more videos! https://www.youtube.com/channel/UC2ri4rEb8abnNwXvTjg5ARw Our app is available on iPhone, iPad, Google Play, and Amazon. It’s 100% free—no ads, no subscriptions. Download now! http://khan.co/YTKhanKids-AppleStore http://khan.co/YTKhanKids-GooglePlay http://khan.co/YTKhanKids-Amazon/description type=video name=Khan Academy Kids: Celebrating First Words Through First Grade thumb=https://i.ytimg.com/vi/ayMkrsbW3Vw/default.jpg URL=http://www.youtube.com/watch?v=ayMkrsbW3Vw description=Khan Academy Kids is an award-winning educational app for young learners ages two to seven. The app engages kids in core subjects like early literacy, reading, writing, language, and math, while encouraging creativity and building social-emotional skills. We’re celebrating the launch of our new first-grade lessons, which include thousands of new activities, exercises, books, and more. Subscribe to our newly created Khan Academy Kids channel for more videos! https://www.youtube.com/channel/UC2ri4rEb8abnNwXvTjg5ARw Our app is available on iPhone, iPad, Google Play, and Amazon. It’s 100% free—no ads, no subscriptions. Download now! http://khan.co/YTKhanKids-AppleStore http://khan.co/YTKhanKids-GooglePlay http://khan.co/YTKhanKids-Amazon/description type=video name=Introduction to meditation to reduce test prep anxiety thumb=https://i.ytimg.com/vi/gOjKzh8z33U/default.jpg URL=http://www.youtube.com/watch?v=gOjKzh8z33U description=New to meditation? Sal explains how meditation can help you reduce stress when you’re preparing for an important test. If you’re ready to give meditation a try, check out our meditation videos on this playlist here: https://www.youtube.com/playlist?list=PLSQl0a2vh4HBbhBafKm-m7I-nO3iJLqdV/description type=video name=Introduction to meditation for students thumb=https://i.ytimg.com/vi/U_v6qr18sOo/default.jpg URL=http://www.youtube.com/watch?v=U_v6qr18sOo description=New to meditation? Sal explains how meditation can be invaluable not only for reducing stress and anxiety, but also for enjoying the fullness of life. If you’re ready to give meditation a try, check out our meditation videos on this playlist here: https://www.youtube.com/playlist?list=PLSQl0a2vh4HBbhBafKm-m7I-nO3iJLqdV/description type=video name=Guided visualization to calm your mind thumb=https://i.ytimg.com/vi/ZEYuSRHgmCg/default.jpg URL=http://www.youtube.com/watch?v=ZEYuSRHgmCg description=In this short meditation session, Sal introduces a simple visualization technique to help you separate yourself from your thoughts and quiet them. What did you think of this meditation? Let us know in the comments below!/description type=video name=Guided meditation to help with test anxiety thumb=https://i.ytimg.com/vi/5nm7WwS80Xs/default.jpg URL=http://www.youtube.com/watch?v=5nm7WwS80Xs description=Are you feeling nervous or stressed out about a big test that’s coming up? Take a few moments to relax and refocus with this guided meditation from Sal. And good luck on your upcoming test - you’ve got this! What did you think of this meditation? Let us know in the comments below!/description type=video name=Guided meditation to help you stop procrastinating thumb=https://i.ytimg.com/vi/SXMBkHlL2Dc/default.jpg URL=http://www.youtube.com/watch?v=SXMBkHlL2Dc description=Procrastination is something we all deal with. Sal procrastinated on making this video. You’re probably going to watch it to procrastinate instead of doing something else. ;) In this short video, Sal shares tips to help motivate you to move forward when you’re procrastinating. What did you think of this meditation? Let us know in the comments below!/description type=video name=Guided meditation for students thumb=https://i.ytimg.com/vi/K4YoQHjaziI/default.jpg URL=http://www.youtube.com/watch?v=K4YoQHjaziI description=Many students have asked Sal how to cope with stress. In his personal life, Sal finds meditation invaluable for not only reducing stress and anxiety, but also for enjoying the fullness of life. In this short video, Sal introduces you to simple meditation techniques to help you calm your mind, relax, and focus. What did you think of this meditation? Are there specific topics that you’d like meditations for? Let us know in the comments below! And subscribe to our channel to stay updated about future meditation videos./description type=video name=Influence of political events on ideology | AP US Government & Politics | Khan Academy thumb=https://i.ytimg.com/vi/uj1Kqhs_xB0/default.jpg URL=http://www.youtube.com/watch?v=uj1Kqhs_xB0 description=How do political events affect a person's ideology? In this video, Kim Kutz Elliott discusses how external events can shift a person's beliefs in the short and long term./description type=video name=Segment congruence equivalent to having same length | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/WDHW-VZK3YI/default.jpg URL=http://www.youtube.com/watch?v=WDHW-VZK3YI description=Two line segments are congruent if and only if they have equal lengths View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-trans-and-congruence . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Area model for multiplying polynomials with negative terms thumb=https://i.ytimg.com/vi/_PC1JMBZKUQ/default.jpg URL=http://www.youtube.com/watch?v=_PC1JMBZKUQ description=Multiplying polynomials with negative terms may feel weird, but it's actually very useful and works out as well as when you only have positive terms./description type=video name=Hydrogen bonding | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ltxqQbiI6-o/default.jpg URL=http://www.youtube.com/watch?v=ltxqQbiI6-o description=Hydrogen bonding is a special type of dipole-dipole interaction that occurs between the lone pair of a highly electronegative atom (typically N, O, or F) and the hydrogen atom in a N–H, O–H, or F–H bond. Hydrogen bonds can form between different molecules (intermolecular hydrogen bonding) or between different parts of the same molecule (intramolecular hydrogen bonding). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:intermolecular-forces/v/hydrogen-bonding Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Intermolecular forces and vapor pressure | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/eubN8DwUh48/default.jpg URL=http://www.youtube.com/watch?v=eubN8DwUh48 description=A liquid’s vapor pressure is directly related to the intermolecular forces present between its molecules. The stronger these forces, the lower the rate of evaporation and the lower the vapor pressure. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:intermolecular-forces/v/intermolecular-forces-and-vapor-pressure Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ion-dipole forces | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/7HCAGSkK1Do/default.jpg URL=http://www.youtube.com/watch?v=7HCAGSkK1Do description=Ion-dipole forces occur between ions and polar molecules. The relative strength of these forces can be understood in terms of Coulomb's law, which tells us that the electrostatic attraction between ion and dipole is directly related to the magnitudes of the ion charge and the dipole and inversely related to the distance between them. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:intermolecular-forces/v/ion-dipole-forces Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dipole-dipole forces | Intermolecular forces and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/hg7jN32q9A0/default.jpg URL=http://www.youtube.com/watch?v=hg7jN32q9A0 description=Dipole-dipole forces occur between molecules with permanent dipoles (i.e., polar molecules). For molecules of similar size and mass, the strength of these forces increases with increasing polarity. Polar molecules can also induce dipoles in nonpolar molecules, resulting in dipole-induced dipole forces. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:intermolecular-forces/v/dipole-dipole-forces Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Guided meditation for procrastination thumb=https://i.ytimg.com/vi/OoTimXPT8ec/default.jpg URL=http://www.youtube.com/watch?v=OoTimXPT8ec description=Don't worry. I'm going to get back to making academic videos soon, but I still have several of these meditation videos I want to get out since I think they can help you learn and deal with anything :) Procrastination in particular is something we all deal with. I've been procrastinating making this video. You are probably going to watch it to procrastinate doing something else :) Hopefully, you'll get right back to it after the meditation :) Inwards! -Sal/description type=video name=Guided meditation visualizing thoughts as the surface of an ocean thumb=https://i.ytimg.com/vi/J1V5Txop1kw/default.jpg URL=http://www.youtube.com/watch?v=J1V5Txop1kw description=Folks seemed to appreciate the first guided meditation for students and asked for more. This is a slightly shorter meditation introducing a visualization for separating yourself from your thoughts and quieting them. Inwards! -Sal/description type=video name=Guided meditation for high school students thumb=https://i.ytimg.com/vi/qZYxc6VcRGA/default.jpg URL=http://www.youtube.com/watch?v=qZYxc6VcRGA description=Many students have asked me for advice about coping with stress. In my personal life, I have found meditation invaluable for not only reducing stress and anxiety, but for enjoying the fullness of life. This is the first recording I've ever made like this, so I'd love your feedback. Also let me know if there are specific things you're dealing with that you'd love meditations for. Inwards! -Sal/description type=video name=The development of an American culture | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/-zr1NBxTgG8/default.jpg URL=http://www.youtube.com/watch?v=-zr1NBxTgG8 description=In the early 1800s, American artists, architects, and writers began to create uniquely American styles. In this video, Kim Kutz Elliott discusses the quest to create architecture suitable to a republic and the influence of Romantic ideals on American artists and writers, including the Hudson River School and the Transcendentalists./description type=video name=Showing segment congruence equivalent to having same length thumb=https://i.ytimg.com/vi/Ko12Tf-lulQ/default.jpg URL=http://www.youtube.com/watch?v=Ko12Tf-lulQ description=Showing segment congruence equivalent to having same length/description type=video name=Idea behind hypothesis testing thumb=https://i.ytimg.com/vi/cn4S3QqEBRg/default.jpg URL=http://www.youtube.com/watch?v=cn4S3QqEBRg description=Idea behind hypothesis testing. Null and alternative hypotheses./description type=video name=Conclusion for a two sample t test using a P value thumb=https://i.ytimg.com/vi/9s8jiskyso0/default.jpg URL=http://www.youtube.com/watch?v=9s8jiskyso0 description=Conclusion for a two sample t test using a P value/description type=video name=Dilating shapes: shrinking | Performing transformations | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/xAxgxUHzgaY/default.jpg URL=http://www.youtube.com/watch?v=xAxgxUHzgaY description=Draw the image of the triangle under a dilation with scale factor 1/4 about the center of dilation on the coordinate plane. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/dilations Watch the next lesson: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/v/dilations-and-properties Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/v/thinking-about-dilations High school geometry on Khan Academy: Learn high school geometry—transformations, congruence, similarity, trigonometry, analytic geometry, and more. (aligned with Common Core standards) About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything/description type=video name=Health insurance primer thumb=https://i.ytimg.com/vi/jdP0bBU0rV8/default.jpg URL=http://www.youtube.com/watch?v=jdP0bBU0rV8 description=Introduction to premiums, deductibles, co-pays and co-insurance./description type=video name=Mapping shapes | Performing transformations | High school geometry | Khan Academy thumb=https://i.ytimg.com/vi/l3NpQPdbK3k/default.jpg URL=http://www.youtube.com/watch?v=l3NpQPdbK3k description=Finding sequences of rigid transformations that map one shape onto another shape. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/mapping-shapes Watch the next lesson: https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-transformations-definitions/v/sequences-of-transformations Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rigid-transformations-overview/v/rigid-transformations-preserved-properties High school geometry on Khan Academy: Learn high school geometry—transformations, congruence, similarity, trigonometry, analytic geometry, and more. (aligned with Common Core standards) About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything/description type=video name=The Court in Action | AP US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/Y0jFVNCVqsg/default.jpg URL=http://www.youtube.com/watch?v=Y0jFVNCVqsg description=What happens when the Supreme Court's decisions are controversial or unpopular? In this video, Kim Kutz Elliott discusses the ways that Congress and the president can challenge the Supreme Court. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Help Jason Give Back to Khan Academy thumb=https://i.ytimg.com/vi/Na67UzhSYMg/default.jpg URL=http://www.youtube.com/watch?v=Na67UzhSYMg description=Jason spent 15 years in prison. While there, he started learning math from transcripts of Khan Academy videos that his mom printed for him. He now studies computer science at Stanford. Stories like Jason’s are why Khan Academy exists. It shows how a free, world-class education for anyone, anywhere can truly unlock potential. Today, Jason is asking you to help him fundraise for Khan Academy as a way to say thank you. Will you join Jason in going #AllinforEducation?/description type=video name=Formal charge | Molecular and ionic compound structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Kv5y3t9jsi4/default.jpg URL=http://www.youtube.com/watch?v=Kv5y3t9jsi4 description=The formal charge of an atom in a molecule is the charge that would reside on the atom if all of the bonding electrons were shared equally. We can calculate an atom's formal charge using the equation FC = VE - [LPE - ½(BE)], where VE = the number of valence electrons on the free atom, LPE = the number of lone pair electrons on the atom in the molecule, and BE = the number of bonding (shared) electrons around the atom in the molecule. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:resonance-and-formal-charge/v/formal-charge Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Millions Learn for Free, Made Possible by People Like You thumb=https://i.ytimg.com/vi/UfMnag3FOaE/default.jpg URL=http://www.youtube.com/watch?v=UfMnag3FOaE description=When you support Khan Academy, you make billions of minutes of free learning possible. Join us as we go #AllInForEducation! Give the gift of a free, world-class education ➡️ http://khanacademy.org/donate?utm_source=youtube&utm_medium=post&utm_campaign=eoy2019/description type=video name=Resonance | Molecular and ionic compound structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/XRM9o1Sq5hg/default.jpg URL=http://www.youtube.com/watch?v=XRM9o1Sq5hg description=Resonance arises when more than one valid Lewis structure can be drawn for a molecule or ion. The overall electronic structure of the molecule or ion is given by the weighted average of these resonance structures and is referred to as the "resonance hybrid." View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:resonance-and-formal-charge/v/introduction-to-resonance Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Exceptions to the octet rule | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Tkb1OemB2KI/default.jpg URL=http://www.youtube.com/watch?v=Tkb1OemB2KI description=While most atoms obey the duet and octet rules, there are some exceptions. For example, elements such as boron or beryllium often form compounds in which the central atom is surrounded by fewer than eight electrons (e.g., BF₃ or BeH₂). In contrast, many elements in the third-row and beyond have been observed to exceed the octet rule, forming compounds in which the central atom is surrounded by more than eight electrons (e.g. ICl₄⁻ or PF₅). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:lewis-diagrams/v/exceptions-to-the-octet-rule Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Lewis diagram of xenon difluoride (XeF₂) | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/kfTm72uWt9o/default.jpg URL=http://www.youtube.com/watch?v=kfTm72uWt9o description=In some molecules, the central atom exceeds the octet rule (is surrounded by more than eight electrons). See an example of a molecule that violates the octet rule (XeF₂) and learn how to draw its Lewis diagram in this video. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:lewis-diagrams/v/worked-example-lewis-diagram-of-xenon-difluoride Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Lewis diagram of the cyanide ion (CN⁻) | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Y8p4cthWB8I/default.jpg URL=http://www.youtube.com/watch?v=Y8p4cthWB8I description=We can draw Lewis structures for polyatomic ions (ions containing multiple atoms) using the same stepwise procedure as for neutral molecules. In this video, we'll see how to construct the Lewis diagram of the cyanide ion (CN⁻). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:lewis-diagrams/v/worked-example-lewis-diagram-of-cyanide-ion Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Drawing Lewis diagrams | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/9BZFphoY-vo/default.jpg URL=http://www.youtube.com/watch?v=9BZFphoY-vo description=A Lewis diagram shows how the valence electrons are distributed around the atoms in a molecule. Shared pairs of electrons are drawn as lines between atoms, while lone pairs of electrons are drawn as dots next to atoms. When constructing a Lewis diagram, keep in mind the octet rule, which refers to the tendency of atoms to gain, lose, or share electrons until they are surrounded by eight valence electrons (an "octet"). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:lewis-diagrams/v/drawing-lewis-diagrams Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Lewis diagram of formaldehyde (CH₂O) | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/s0VM7WKnPeA/default.jpg URL=http://www.youtube.com/watch?v=s0VM7WKnPeA description=The Lewis diagram of a molecule can be constructed using the following stepwise procedure: (1) Find the number of valence electrons in the molecule. (2) Draw single bonds between bonded atoms. (3) Distribute the remaining electrons throughout the molecule, keeping in mind the duet and octet rules. In this video, we'll use these steps to construct the Lewis diagram of formaldehyde (CH₂O). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:lewis-diagrams/v/worked-example-lewis-diagram-of-formaldehyde Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Give a gift that will change a life. thumb=https://i.ytimg.com/vi/fuJxn3yG2gA/default.jpg URL=http://www.youtube.com/watch?v=fuJxn3yG2gA description=Just $1 of donation enables 3 hours of learning on Khan Academy. Your gift, big or small, gives a child the chance to learn. This holiday season, please give a gift that will change a life. #AllinforEducation https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=description&utm_campaign=right_to_learn_20sec/description type=video name=Causation from 1980-2020 thumb=https://i.ytimg.com/vi/6JXYNT5wD2A/default.jpg URL=http://www.youtube.com/watch?v=6JXYNT5wD2A description=How did events in the years after 1980 affect national identity in the United States? In this video, Kim Kutz Elliott discusses changes in US foreign policy, economics, and politics, attempting to place the developments of this era into a broader historical context./description type=video name=Worked example: Using formal charges to evaluate nonequivalent resonance structures | Khan Academy thumb=https://i.ytimg.com/vi/N8qKGrChGC4/default.jpg URL=http://www.youtube.com/watch?v=N8qKGrChGC4 description=When a molecule has nonequivalent resonance structures, one structure may contribute more to the resonance hybrid than another. In terms of formal charge, a structure generally contributes more when (1) the formal charges on the atoms are minimized and (2) any negative formal charges are on more electronegative atoms and any positive charges are on more electropositive atoms. In this video, we use these guidelines to evaluate the nonequivalent resonance structures of SCN⁻. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:resonance-and-formal-charge/v/worked-example-using-formal-charges-to-evaluate-nonequivalent-resonance-structures Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Representing alloys using particulate models | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/LTH-WH97zbo/default.jpg URL=http://www.youtube.com/watch?v=LTH-WH97zbo description=An alloy is a mixture of two or more elements, of which at least one is a metal. There are two main types of alloys: interstitial alloys, which form between atoms of different radii, and substitutional alloys, which form between atoms of similar radii. In this video, we'll learn how to represent the different types of alloys using particulate models. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:structure-of-metals-and-alloys/v/representing-alloys-using-particulate-models Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Representing ionic solids using particulate models | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/sAhRvgX4tQk/default.jpg URL=http://www.youtube.com/watch?v=sAhRvgX4tQk description=The cations and anions in an ionic solid are arranged in a lattice structure that maximizes the attractive forces between opposite charges and minimizes the repulsive forces between like charges. In this video, we'll learn how to represent the structure of an ionic solid using a particulate model. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:structure-of-ionic-solids/v/representing-ionic-solids-using-particulate-models Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=All in for Education Livestream with Sal Khan thumb=https://i.ytimg.com/vi/6JFh1c2LDLU/default.jpg URL=http://www.youtube.com/watch?v=6JFh1c2LDLU description=Join us for an AMA Livestream with Sal Khan, founder of Khan Academy, this Giving Tuesday. As a nonprofit, we depend on donations. This year, we're kicking off our All in for Education campaign with an AMA with Sal and asking our YouTube community to help! We are hoping to raise $5,000 on Giving Tuesday! All donations today will be matched dollar for dollar - so every contribution counts. Click the blue donate button to support Khan Academy today! Sal will answer some of your burning questions, give live shout-outs, and who knows what else will happen? 🌍 If YouTube does not allow donations from your country, please go to: https://www.khanacademy.org/donate/description type=video name=Lattice energy | Molecular and ionic compound structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/paXRIINiYlQ/default.jpg URL=http://www.youtube.com/watch?v=paXRIINiYlQ description=The energy required to separate the ions in a crystal lattice into individual gaseous ions is known as lattice energy. Lattice energy depends on the strength of interactions between cations and anions in the lattice, which we can estimate using Coulomb's law: Fₑ = (q₁q₂)/r². According to this equation, stronger interactions occur between ions with larger charges and smaller radii. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:intramolecular-force-and-potential-energy/v/lattice-energy Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=All in for Education with Khan Academy. Give today! thumb=https://i.ytimg.com/vi/PrN9QB8HDNM/default.jpg URL=http://www.youtube.com/watch?v=PrN9QB8HDNM description=We’ll get straight to the point—we’re asking you to support Khan Academy. As a nonprofit, we depend on donations. We’re kicking off our All in for Education campaign because we think education is the best gift you could possibly give. This year we're asking everyone on YouTube to help: We are trying to raise $10K from our YouTube community. Click the blue donate button to support Khan Academy today! 🌍 If YouTube does not allow donations from your country, please go to: https://www.khanacademy.org/donate/description type=video name=Worked example: Interpreting potential energy curves of diatomic molecules | Khan Academy thumb=https://i.ytimg.com/vi/-mZAsdJnnMM/default.jpg URL=http://www.youtube.com/watch?v=-mZAsdJnnMM description=The length and energy of a bond are influenced by both the bond order and the size of the atoms in the bond. In general, the higher the bond order and the smaller the atoms, the shorter and stronger the bond. As shown in this video, we can use these relationships to match diatomic molecules to their potential energy curves. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:intramolecular-force-and-potential-energy/v/worked-example-interpreting-potential-energy-curves-of-diatomic-molecules Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=You Can Learn Anything (30 sec) thumb=https://i.ytimg.com/vi/beSsSAUf-oc/default.jpg URL=http://www.youtube.com/watch?v=beSsSAUf-oc type=video name=Bond length and bond energy | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/EMCWvehKpd4/default.jpg URL=http://www.youtube.com/watch?v=EMCWvehKpd4 description=A diatomic molecule can be represented using a potential energy curve, which graphs potential energy versus the distance between the two atoms (called the internuclear distance). From this graph, we can determine the equilibrium bond length (the internuclear distance at the potential energy minimum) and the bond energy (the energy required to separate the two atoms). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:intramolecular-force-and-potential-energy/v/bond-length-and-bond-energy Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Predicting bond type (electronegativity) | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/AHUHpVQXRsw/default.jpg URL=http://www.youtube.com/watch?v=AHUHpVQXRsw description=One way to predict the type of bond that forms between two elements is to compare the electronegativities of the elements. In general, large differences in electronegativity result in ionic bonds, while smaller differences result in covalent bonds. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:types-of-chemical-bonds/v/predicting-bond-type-electronegativity Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Predicting bond type (metals vs. nonmetals) | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/B9GkAsd8EK8/default.jpg URL=http://www.youtube.com/watch?v=B9GkAsd8EK8 description=One way to predict the type of bond that forms between two elements is to consider whether each element is a metal or nonmetal. In general, covalent bonds form between nonmetals, ionic bonds form between metals and nonmetals, and metallic bonds form between metals. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:types-of-chemical-bonds/v/predicting-bond-type-metals-nonmetals Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Electron configurations of ions | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/oCajIGPK-WM/default.jpg URL=http://www.youtube.com/watch?v=oCajIGPK-WM description=We can determine the electron configuration for an ion by first finding the electron configuration for the neutral atom and then adding or subtracting electrons depending on the charge of the ion. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:atomic-structure-and-electron-configuration/v/electron-configurations-of-ions Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Khan Stories: Jason Spyres thumb=https://i.ytimg.com/vi/edMjF4Tcst8/default.jpg URL=http://www.youtube.com/watch?v=edMjF4Tcst8 description=Video that Sal took of an incredible student who attended one of his lectures. Jason learned from Khan Academy while in prison for 15 years and is off to accomplish great things./description type=video name=What to do the night before an exam: 3 tips from Sal Khan thumb=https://i.ytimg.com/vi/7hfcmct9lgc/default.jpg URL=http://www.youtube.com/watch?v=7hfcmct9lgc description=Taking an important exam like the SAT, Praxis, or LSAT tomorrow? We can help! Sal Khan shares 3 quick tips to help you put your best foot forward on test day. Get free help for the SAT, Praxis, and LSAT, and more on Khan Academy: http://khan.co/TestPrepFree/description type=video name=Ionic bonds | Molecular and ionic compound structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/FaeAurHnQJs/default.jpg URL=http://www.youtube.com/watch?v=FaeAurHnQJs description=Ionic bonds result from the electrostatic attraction between oppositely charged ions, which form when valence electrons are transferred from one atom to another. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:types-of-chemical-bonds/v/ionic-bonds Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Covalent bonds | Molecular and ionic compound structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/kS5iU4v0QZk/default.jpg URL=http://www.youtube.com/watch?v=kS5iU4v0QZk description=Covalent bonds involve the sharing of electron pairs between atoms. Electron pairs shared between atoms of equal or very similar electronegativity constitute a nonpolar covalent bond (e.g., H–H or C–H), while electrons shared between atoms of unequal electronegativity constitute a polar covalent bond (e.g., H–O). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:types-of-chemical-bonds/v/covalent-bonds Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Metallic bonds | Molecular and ionic compound structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/N5MAFQlnu18/default.jpg URL=http://www.youtube.com/watch?v=N5MAFQlnu18 description=Metallic bonds result from the electrostatic attraction between metal cations and delocalized electrons. The nature of metallic bonding accounts for many of the physical properties of metals, such as conductivity and malleability. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:molecular-and-ionic-compound-structure-and-properties/x2eef969c74e0d802:types-of-chemical-bonds/v/metallic-bonds Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Isotopes | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ShC3VoxxW3g/default.jpg URL=http://www.youtube.com/watch?v=ShC3VoxxW3g description=Isotopes are atoms of the same element with different numbers of neutrons. Because they contain different numbers of neutrons, isotopes have different atomic masses. The average atomic mass of an element is calculated by taking the weighted average mass of the element's naturally occurring isotopes. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:mass-spectrometry-of-elements/v/isotopes Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Mass spectrometry | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/myolF-h1kKI/default.jpg URL=http://www.youtube.com/watch?v=myolF-h1kKI description=In the analytical technique of mass spectrometry, atoms or molecules are ionized using a high-energy electron beam and then separated based on their mass-to-charge ratios (m/z). The results are presented as a mass spectrum, which shows the relative abundances of the ions on the y-axis and their m/z ratios on the x-axis. This data can be used to calculate the exact masses of the atoms or molecules in the sample. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:mass-spectrometry-of-elements/v/mass-spectrometry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Making line plots with fractional data thumb=https://i.ytimg.com/vi/NG51xCPse5Y/default.jpg URL=http://www.youtube.com/watch?v=NG51xCPse5Y description=Making line plots with fractional data/description type=video name=Interpreting line plots thumb=https://i.ytimg.com/vi/78zFg2F3HsI/default.jpg URL=http://www.youtube.com/watch?v=78zFg2F3HsI description=Interpreting line plots/description type=video name=Line plots with fractions thumb=https://i.ytimg.com/vi/Ocs3NUNhhPk/default.jpg URL=http://www.youtube.com/watch?v=Ocs3NUNhhPk description=Line plots with fractions/description type=video name=Dividing fractions and whole number word problems thumb=https://i.ytimg.com/vi/HUT8eL1sGhk/default.jpg URL=http://www.youtube.com/watch?v=HUT8eL1sGhk description=Dividing fractions and whole number word problems/description type=video name=Fraction division in context thumb=https://i.ytimg.com/vi/dnZ0fykw_w0/default.jpg URL=http://www.youtube.com/watch?v=dnZ0fykw_w0 description=Fraction division in context/description type=video name=Multiplication and division relationship for fractions thumb=https://i.ytimg.com/vi/jXA-nMI4Nt4/default.jpg URL=http://www.youtube.com/watch?v=jXA-nMI4Nt4 description=Multiplication and division relationship for fractions/description type=video name=Measure lengths to nearest 1/4 thumb=https://i.ytimg.com/vi/k29Hyub0wqM/default.jpg URL=http://www.youtube.com/watch?v=k29Hyub0wqM description=Measure lengths to nearest 1/4/description type=video name=Worked example: Identifying an element from its mass spectrum | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/vU7MDe4ph5A/default.jpg URL=http://www.youtube.com/watch?v=vU7MDe4ph5A description=Using mass spectrometry data, we can estimate an element's average atomic mass and determine its identity. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:mass-spectrometry-of-elements/v/worked-example-identifying-element-from-mass-spectrum Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Calculating mass percent | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/enTtIDEtda8/default.jpg URL=http://www.youtube.com/watch?v=enTtIDEtda8 description=To calculate the mass percent of an element in a compound, we divide the mass of the element in 1 mole of the compound by the compound's molar mass and multiply the result by 100. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:elemental-composition-of-pure-substances/v/worked-example-calculating-mass-percent Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Calculating molar mass and number of moles | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/PAqzpZ-nMlg/default.jpg URL=http://www.youtube.com/watch?v=PAqzpZ-nMlg description=The molar mass of a substance is the mass in grams of 1 mole of the substance. As shown in this video, we can obtain a substance's molar mass by summing the molar masses of its component atoms. We can then use the calculated molar mass to convert between mass and number of moles of the substance. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:moles-and-molar-mass/v/worked-example-calculating-molar-mass-and-number-of-moles Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How to reduce test prep anxiety: 3 tips from Sal Khan thumb=https://i.ytimg.com/vi/IZcbCnZsl5c/default.jpg URL=http://www.youtube.com/watch?v=IZcbCnZsl5c description=Sal shares his top 3 tips for reducing test prep stress and anxiety. Whether you’re preparing for the SAT, Praxis, LSAT, Board exams, or another important test, you can use Sal’s tips to help you relax and feel confident on test day. Get free help for the SAT, Praxis, and LSAT, and more on Khan Academy: http://khan.co/TestPrepFree/description type=video name=Course Mastery Sal (intro only) thumb=https://i.ytimg.com/vi/qTMc5pmYHY4/default.jpg URL=http://www.youtube.com/watch?v=qTMc5pmYHY4 description=Sal Khan speaks about the relevance of Course Mastery, the heart of what Khan Academy offers./description type=video name=Mastery Learning in Mr. Vandenberg’s Class thumb=https://i.ytimg.com/vi/1mL0FD7gnGQ/default.jpg URL=http://www.youtube.com/watch?v=1mL0FD7gnGQ description=Students master skills in Mr. Vandenberg’s 6th grade class by working at their own pace and practicing skills just right for them. Take a look inside his Hesperia, CA classroom to see how Khan Academy supports classroom teaching and learning./description type=video name=Continuity and change in American society, 1754-1800 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/wc3cDimF4a4/default.jpg URL=http://www.youtube.com/watch?v=wc3cDimF4a4 description=How revolutionary was the American Revolution? In this video, Kim Kutz Elliott models the historical thinking skill of continuity and change by comparing society before and after the Revolutionary War./description type=video name=The mole and Avogadro's number | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/cvi4IJMZ13Q/default.jpg URL=http://www.youtube.com/watch?v=cvi4IJMZ13Q description=One mole of a substance is equal to 6.022 × 10²³ units of that substance (such as atoms, molecules, or ions). The number 6.022 × 10²³ is known as Avogadro's number or Avogadro's constant. The concept of the mole can be used to convert between mass and number of particles. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:moles-and-molar-mass/v/the-mole-and-avogadro-s-number Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Average atomic mass | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/YsqoF3hqdkg/default.jpg URL=http://www.youtube.com/watch?v=YsqoF3hqdkg description=The average atomic mass (sometimes called atomic weight) of an element is the weighted average mass of the atoms in a naturally occurring sample of the element. Average masses are generally expressed in unified atomic mass units (u), where 1 u is equal to exactly one-twelfth the mass of a neutral atom of carbon-12. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:moles-and-molar-mass/v/average-atomic-mass Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Subtracting fractions with unlike denominators introduction thumb=https://i.ytimg.com/vi/SMshimc16LM/default.jpg URL=http://www.youtube.com/watch?v=SMshimc16LM description=Subtracting fractions with unlike denominators introduction/description type=video name=Worked example: Determining an empirical formula from percent composition data | Khan Academy thumb=https://i.ytimg.com/vi/k9cxYojKI1I/default.jpg URL=http://www.youtube.com/watch?v=k9cxYojKI1I description=We can use percent composition data to determine a compound's empirical formula, which is the simplest whole-number ratio of elements in the compound. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:elemental-composition-of-pure-substances/v/formula-mass-composition Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Adding fractions with unlike denominators introduction thumb=https://i.ytimg.com/vi/zkJ1gOrYhEg/default.jpg URL=http://www.youtube.com/watch?v=zkJ1gOrYhEg description=Adding fractions with unlike denominators introduction/description type=video name=Fraction multiplication as scaling examples thumb=https://i.ytimg.com/vi/WLvbz6m2Syw/default.jpg URL=http://www.youtube.com/watch?v=WLvbz6m2Syw description=Fraction multiplication as scaling examples/description type=video name=Estimating adding fractions with unlike denominators thumb=https://i.ytimg.com/vi/XR_B9AJe1u4/default.jpg URL=http://www.youtube.com/watch?v=XR_B9AJe1u4 description=Estimating adding fractions with unlike denominators/description type=video name=Periodic trends and Coulomb's law | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/gi2Y-kbrjCw/default.jpg URL=http://www.youtube.com/watch?v=gi2Y-kbrjCw description=Periodic trends (such as electronegativity, electron affinity, atomic and ionic radii, and ionization energy) can be understood in terms of Coulomb's law, which is Fₑ = (q₁q₂)/r². For example, consider first ionization energy: Coulomb's law tells us that the greater the nuclear charge (q₁) and the shorter the distance between the nucleus and the outermost electron (r), the stronger the attraction between the nucleus and the electron. As a result, the electron will require more energy to remove. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:periodic-trends/v/periodic-trends-and-coulombs-law Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Valence electrons and ionic compounds | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/XPnlIEk7XrU/default.jpg URL=http://www.youtube.com/watch?v=XPnlIEk7XrU description=When forming ions, elements typically gain or lose the minimum number of electrons necessary to achieve a full octet. For example, fluorine has seven valence electrons, so it is most likely to gain one electron to form an ion with a 1- charge. We can use this method to predict the charges of ions in ionic compounds. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:valence-electrons-and-ionic-compounds/v/valence-electrons-and-ionic-compounds Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Identifying an element from successive ionization energies | Khan Academy thumb=https://i.ytimg.com/vi/PfL-gzDdOBo/default.jpg URL=http://www.youtube.com/watch?v=PfL-gzDdOBo description=When electrons are removed in succession from an element, the transition from removing valence electrons to removing core electrons results in a large jump in ionization energy. By looking for this large jump in energy, we can determine how many valence electrons an element has, which in turn can help us identify the element. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:periodic-trends/v/worked-example-identifying-element-from-successive-ionization-energies Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Groups of the periodic table | Periodic table | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/jQGUkJc7_04/default.jpg URL=http://www.youtube.com/watch?v=jQGUkJc7_04 description=The s-, p-, and d-block elements of the periodic table are arranged into 18 numbered columns, or groups. The elements in each group have the same number of valence electrons. As a result, elements in the same group often display similar properties and reactivity. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/periodic-table/copy-of-periodic-table-of-elements/v/periodic-table-groups Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to photoelectron spectroscopy | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/UaTWrOTh4qU/default.jpg URL=http://www.youtube.com/watch?v=UaTWrOTh4qU description=In the analytical technique of photoelectron spectroscopy (PES), a sample is ionized using high-energy radiation, and the kinetic energies of the ejected electrons (called photoelectrons) are measured. From this, we can determine the binding or ionization energy of each electron in the atom or molecule. The results are presented as a PES spectrum, which shows the photoelectron count on the y-axis and binding energy on the x-axis. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:photoelectron-spectroscopy/v/introduction-to-photoelectron-spectroscopy Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Aufbau principle | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Zersl0Ji3P0/default.jpg URL=http://www.youtube.com/watch?v=Zersl0Ji3P0 description=The Aufbau principle states that electrons fill lower-energy atomic orbitals before filling higher-energy ones (Aufbau is German for "building-up"). By following this rule, we can predict the electron configurations for atoms or ions. The Aufbau principle is most useful for the first 20 elements: from Sc on, the Aufbau principle does not accurately predict the order of electron filling in atoms. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:atomic-structure-and-electron-configuration/v/the-aufbau-principle Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Analyzing the purity of a mixture | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/K5HPsKdgxsI/default.jpg URL=http://www.youtube.com/watch?v=K5HPsKdgxsI description=Elemental analysis can be used to analyze the purity of a sample. For example, a pure sample of NaCl should contain 61% chlorine by mass. If elemental analysis tells us that the sample actually contains 73% chlorine by mass, this suggests that our sample has been contaminated by a compound containing a higher mass percent of chlorine. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:composition-of-mixtures/v/worked-example-analyzing-purity-of-a-mixture Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Valence electrons | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/cZTdBsAjPPk/default.jpg URL=http://www.youtube.com/watch?v=cZTdBsAjPPk description=Valence electrons are the electrons in the outermost shell, or energy level, of an atom. For example, oxygen has six valence electrons, two in the 2s subshell and four in the 2p subshell. We can write the configuration of oxygen's valence electrons as 2s²2p⁴. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:atomic-structure-and-electron-configuration/v/valence-electrons Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Shells, subshells, and orbitals | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/26PF9Ctch9Y/default.jpg URL=http://www.youtube.com/watch?v=26PF9Ctch9Y description=The electrons in an atom are arranged in shells that surround the nucleus, with each successive shell being farther from the nucleus. Electron shells consist of one or more subshells, and subshells consist of one or more atomic orbitals. Electrons in the same subshell have the same energy, while electrons in different shells or subshells have different energies. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:atomic-structure-and-electron-configuration/v/orbitals Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to electron configurations | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/LyFzELsUgBU/default.jpg URL=http://www.youtube.com/watch?v=LyFzELsUgBU description=Electron configurations describe where electrons are located around the nucleus of an atom. For example, the electron configuration of lithium, 1s²2s¹, tells us that lithium has two electrons in the 1s subshell and one electron in the 2s subshell. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:atomic-structure-and-electron-configuration/v/introduction-to-electron-configurations Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Calculating the mass of a substance in a mixture | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Zy3Y3ZbJ2xs/default.jpg URL=http://www.youtube.com/watch?v=Zy3Y3ZbJ2xs description=Elemental analysis can be used to determine the amounts of substances in a mixture. For example, if elemental analysis tells us that a potassium supplement contains 22% K by mass, and we know that the K is present as KCl, we can calculate the grams of KCl in the supplement. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:composition-of-mixtures/v/worked-example-calculating-mass-of-substance-in-mixture Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Determining an empirical formula from combustion data | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/SE9kPohzgk4/default.jpg URL=http://www.youtube.com/watch?v=SE9kPohzgk4 description=In combustion analysis, an organic compound containing some combination of the elements C, H, N, and S is combusted, and the masses of the combustion products are recorded. From this information, we can calculate the empirical formula of the original compound. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:elemental-composition-of-pure-substances/v/worked-example-determining-empirical-formula-from-combustion-data Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example comparing mass percentages of element in comounds thumb=https://i.ytimg.com/vi/y-HrWFO19QA/default.jpg URL=http://www.youtube.com/watch?v=y-HrWFO19QA description=Example comparing mass percentages of element in comounds/description type=video name=Effects of transatlantic voyages, 1492-1607 | Khan Academy | AP US History thumb=https://i.ytimg.com/vi/yelhhzgzoYs/default.jpg URL=http://www.youtube.com/watch?v=yelhhzgzoYs description=What effects did contact between Europe, Africa, and the Americas have on those three continents? In this video, Kim Kutz Elliott demonstrates how to approach the historical skill of causation in thinking about what changes contact caused between 1492 and 1607./description type=video name=Equivalent fractions on number lines thumb=https://i.ytimg.com/vi/bBkUqkI2TSw/default.jpg URL=http://www.youtube.com/watch?v=bBkUqkI2TSw description=Equivalent fractions on number lines/description type=video name=Comparing fractions word problems thumb=https://i.ytimg.com/vi/NEjIVR9kAFE/default.jpg URL=http://www.youtube.com/watch?v=NEjIVR9kAFE description=Comparing fractions word problems/description type=video name=Equivalent fractions with models thumb=https://i.ytimg.com/vi/vTjgaVmJ8fk/default.jpg URL=http://www.youtube.com/watch?v=vTjgaVmJ8fk description=Equivalent fractions with models/description type=video name=Subtracting mixed numbers with regrouping thumb=https://i.ytimg.com/vi/TQEg9dMIWFU/default.jpg URL=http://www.youtube.com/watch?v=TQEg9dMIWFU description=Subtracting mixed numbers with regrouping/description type=video name=Mixed number subtraction thumb=https://i.ytimg.com/vi/QJZ6mBW8xTU/default.jpg URL=http://www.youtube.com/watch?v=QJZ6mBW8xTU description=Mixed number subtraction/description type=video name=Multiplying mixed numbers thumb=https://i.ytimg.com/vi/hjbSbHr3Fhk/default.jpg URL=http://www.youtube.com/watch?v=hjbSbHr3Fhk description=Multiplying mixed numbers/description type=video name=Fraction multiplcation on the number line thumb=https://i.ytimg.com/vi/ltKaGC8jfd4/default.jpg URL=http://www.youtube.com/watch?v=ltKaGC8jfd4 description=Fraction multiplcation on the number line/description type=video name=Adding mixed numbers with like denominators thumb=https://i.ytimg.com/vi/t32jFmpE-ec/default.jpg URL=http://www.youtube.com/watch?v=t32jFmpE-ec description=Adding mixed numbers with like denominators/description type=video name=Mixed number addition with regrouping thumb=https://i.ytimg.com/vi/tNaKlG_GJGQ/default.jpg URL=http://www.youtube.com/watch?v=tNaKlG_GJGQ description=Mixed number addition with regrouping/description type=video name=Reform in the Gilded Age | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/Vov4feHxzuw/default.jpg URL=http://www.youtube.com/watch?v=Vov4feHxzuw description=The vast differences of wealth in the Gilded Age led contemporaries to wonder: was it possible to have a modern, industrial society without social inequality? In this video, Kim Kutz Elliott discusses how reformers in the Gilded Age responded to social problems, and how women began to play a larger role in public life as they confronted those problems./description type=video name=Factoring quadratics with a common factor | Algebra 1 | Khan Academy thumb=https://i.ytimg.com/vi/m6uOqU91ypI/default.jpg URL=http://www.youtube.com/watch?v=m6uOqU91ypI description=We can factor quadratics by first pulling out a common factor./description type=video name=Multiply monomials by polynomials: Area model | Algebra 1 | Khan Academy thumb=https://i.ytimg.com/vi/wznE1wlmhR0/default.jpg URL=http://www.youtube.com/watch?v=wznE1wlmhR0 description=We can use an area model to multiply a polynomial by a single term./description type=video name=Interpret a quadratic graph | Quadratic functions & equations | Algebra 1 | Khan Academy thumb=https://i.ytimg.com/vi/Tqxu53deWCo/default.jpg URL=http://www.youtube.com/watch?v=Tqxu53deWCo description=We can interpret what the features of a graph of a quadratic model mean in terms of a given context./description type=video name=Factoring completely with a common factor | Algebra 1 | Khan Academy thumb=https://i.ytimg.com/vi/FoTD41xzF5Q/default.jpg URL=http://www.youtube.com/watch?v=FoTD41xzF5Q description=We can factor quadratics by first pulling out a common factor so the result looks like a(x+b)(x+c)./description type=video name=Writing functions with exponential decay | Algebra 1 | Khan Academy thumb=https://i.ytimg.com/vi/cgZJU38j8-U/default.jpg URL=http://www.youtube.com/watch?v=cgZJU38j8-U description=We can write a function to model exponential decay in a context./description type=video name=Analyzing mistakes when finding extrema example 2 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Qcn8A5Ll7g4/default.jpg URL=http://www.youtube.com/watch?v=Qcn8A5Ll7g4 description=Analyzing the work of someone who tried to find extrema of a function, to see whether they made mistakes. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-c... Watch the next lesson: https://www.khanacademy.org/math/ap-c... Missed the previous lesson? https://www.khanacademy.org/math/ap-c... AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj... Subscribe to Khan Academy: https://www.youtube.com/subscription_... Category Education/description type=video name=Geometric series convergence and divergence examples | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/HP8ZTo2iDtw/default.jpg URL=http://www.youtube.com/watch?v=HP8ZTo2iDtw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/prec... Watch the next lesson: https://www.khanacademy.org/math/prec... Missed the previous lesson? https://www.khanacademy.org/math/prec... Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content./description type=video name=Finding derivative with fundamental theorem of calculus | AP®︎ Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WapSrovs7yM/default.jpg URL=http://www.youtube.com/watch?v=WapSrovs7yM description=The Fundamental Theorem of Calculus tells us that the derivative of the definite integral from 𝘢 to 𝘹 of ƒ(𝑡)𝘥𝑡 is ƒ(𝘹), provided that ƒ is continuous. See how this can be used to evaluate the derivative of accumulation functions. View more lessons or practice this subject at https://www.khanacademy.org/v/applying-the-fundamental-theorem-of-calculus Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=What to think about when taking over an existing business? thumb=https://i.ytimg.com/vi/qJG2TU4WrsE/default.jpg URL=http://www.youtube.com/watch?v=qJG2TU4WrsE description=Sal answers the question "What to think about when taking over an existing business?" as part of its partnership with Bank of America on career and personal finance education (Better Money Habits)./description type=video name=How do you know if a business idea is worth pursuing? thumb=https://i.ytimg.com/vi/WKVIf2J2Ko0/default.jpg URL=http://www.youtube.com/watch?v=WKVIf2J2Ko0 description=Sal answers the question "How do you know if a business idea is worth pursuing?" as part of its partnership with Bank of America on career and personal finance education (Better Money Habits)./description type=video name=How to handle naysayers when starting a business? thumb=https://i.ytimg.com/vi/h9GbtVm5f7I/default.jpg URL=http://www.youtube.com/watch?v=h9GbtVm5f7I description=Sal answers the question "How to deal with naysayers when starting a business?" as part of its partnership with Bank of America on career and personal finance education (Better Money Habits)./description type=video name=What advice do you have for someone wanting to be an entrepreneur? thumb=https://i.ytimg.com/vi/zxtoXMzRgYk/default.jpg URL=http://www.youtube.com/watch?v=zxtoXMzRgYk description=Sal answers the question "What advice do you have for someone wanting to be an entrepreneur?" as part of its partnership with Bank of America on career and personal finance education (Better Money Habits)./description type=video name=How do you prepare yourself mentally to be an entrepreneur? thumb=https://i.ytimg.com/vi/xfI10y04qV8/default.jpg URL=http://www.youtube.com/watch?v=xfI10y04qV8 description=Sal answers the question "How do you prepare yourself mentally to be an entrepreneur?" as part of its partnership with Bank of America on career and personal finance education (Better Money Habits)./description type=video name=Fundamental theorem to evaluate derivative thumb=https://i.ytimg.com/vi/4h5DjmFTcJE/default.jpg URL=http://www.youtube.com/watch?v=4h5DjmFTcJE description=Fundamental theorem to evaluate derivative/description type=video name=Finding derivative with fundamental theorem of calculus: chain rule | AP®︎ Calculus | Khan Academy thumb=https://i.ytimg.com/vi/dptES2sb1oc/default.jpg URL=http://www.youtube.com/watch?v=dptES2sb1oc description=The Fundamental Theorem of Calculus tells us how to find the derivative of the integral from 𝘢 to 𝘹 of a certain function. But what if instead of 𝘹 we have a function of 𝘹, for example sin(𝘹)? Then we need to also use the chain rule. View more lessons or practice this subject at https://www.khanacademy.org/v/derivative-with-ftc-and-chain-rule Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introducing Khan Academy Learnstorm 2019! thumb=https://i.ytimg.com/vi/knT1VOUCozQ/default.jpg URL=http://www.youtube.com/watch?v=knT1VOUCozQ description=LearnStorm is just that: a collaborative, tech-enabled storm of learning that the whole class can get involved in regardless of their level! As your whole class completes assignments together, they'll watch as the LearnStorm tracker fills in — be prepared for surprise celebration moments! It's free, it's happening in the fall, and best of all: it gives your students a fun way to gain skills with high-quality content, build teamwork, and foster growth mindsets. Find out more on learnstorm.khanacademy.org./description type=video name=Harmonic series and 𝑝-series | AP®︎ Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/m6ByHObCs6Y/default.jpg URL=http://www.youtube.com/watch?v=m6ByHObCs6Y description=𝑝-series is a family of series where the terms are of the form 1/(nᵖ) for some value of 𝑝. The Harmonic series is the special case where 𝑝=1. These series are very interesting and useful. View more lessons or practice this subject at https://www.khanacademy.org/v/harmonic-and-p-series Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Time past between two clock faces thumb=https://i.ytimg.com/vi/PCPmpPV9KR0/default.jpg URL=http://www.youtube.com/watch?v=PCPmpPV9KR0 description=Time past between two clock faces/description type=video name=Finding the end time for a movie in 24 hour time | Math | Khan Academy thumb=https://i.ytimg.com/vi/PrnaeyTGOiM/default.jpg URL=http://www.youtube.com/watch?v=PrnaeyTGOiM description=Sal uses a movie's start time and length to figure out when it ends, using 24 hour time. View more lessons or practice this subject at http://www.khanacademy.org Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Length of a trip in 24 hour time | Math | Khan Academy thumb=https://i.ytimg.com/vi/G6NR4z6K5HU/default.jpg URL=http://www.youtube.com/watch?v=G6NR4z6K5HU description=Sal determines how long a trip took using 24 hour time. View more lessons or practice this subject at http://www.khanacademy.org Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=The rise of industrial capitalism | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/bSnELaceBdo/default.jpg URL=http://www.youtube.com/watch?v=bSnELaceBdo description=What changed--and what stayed the same--with the growth of industrial capitalism in the United States during the Gilded Age? In this video, Kim Kutz Elliott discusses how technological innovation, business innovation, and pro-growth government policies shaped the new economic landscape of the Gilded Age./description type=video name=Celebrate 10 years of Khan Academy! 🎂 thumb=https://i.ytimg.com/vi/4Gn5Q1efT4g/default.jpg URL=http://www.youtube.com/watch?v=4Gn5Q1efT4g description=At Khan Academy, we believe teachers are the most important part of a student’s learning experience. As we celebrate our 10 year anniversary and look back on everything we’ve accomplished, we wanted to thank you for all your support and partnership. Join our teacher community at www.facebook.com/groups/teachwithkhan www.twitter.com/teachwithkhan/description type=video name=Fractions in context thumb=https://i.ytimg.com/vi/1n1KHL5XB-M/default.jpg URL=http://www.youtube.com/watch?v=1n1KHL5XB-M description=Fractions in context/description type=video name=Relating fractions to 1 thumb=https://i.ytimg.com/vi/zESsg6RWYe8/default.jpg URL=http://www.youtube.com/watch?v=zESsg6RWYe8 description=Relating fractions to 1/description type=video name=Finding 1 on the number line thumb=https://i.ytimg.com/vi/7AOXIqAPMmw/default.jpg URL=http://www.youtube.com/watch?v=7AOXIqAPMmw description=Finding 1 on the number line/description type=video name=Fractions greater than 1 on the number line thumb=https://i.ytimg.com/vi/AXdZCfSdQFY/default.jpg URL=http://www.youtube.com/watch?v=AXdZCfSdQFY description=Fractions greater than 1 on the number line/description type=video name=Comparing unit fractions thumb=https://i.ytimg.com/vi/Oo-sc0v0zBU/default.jpg URL=http://www.youtube.com/watch?v=Oo-sc0v0zBU description=Comparing unit fractions/description type=video name=Writing whole numbers as fractions thumb=https://i.ytimg.com/vi/VQQrz1g_K4Q/default.jpg URL=http://www.youtube.com/watch?v=VQQrz1g_K4Q description=Writing whole numbers as fractions/description type=video name=Relating number lines to fraction bars thumb=https://i.ytimg.com/vi/WKKtH4blCjo/default.jpg URL=http://www.youtube.com/watch?v=WKKtH4blCjo description=Relating number lines to fraction bars/description type=video name=Graphing logarithmic functions (example 2) | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/f_BJC6UwDTE/default.jpg URL=http://www.youtube.com/watch?v=f_BJC6UwDTE description=We can graph y=4log₂(x+6)-7 by viewing it as a transformation of y=log₂(x). View more lessons or practice this subject at https://www.khanacademy.org/v/graphing-logarithmic-functions-2 Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Graphing logarithmic functions (example 1) | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/GpBSbNoon1E/default.jpg URL=http://www.youtube.com/watch?v=GpBSbNoon1E description=We can graph y=2log₂(-x-3) by viewing it as a transformation of y=log₂(x). View more lessons or practice this subject at https://www.khanacademy.org/v/graphing-logarithmic-functions-1 Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dividing polynomials by x (no remainders) | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/HUdA6LdCRk8/default.jpg URL=http://www.youtube.com/watch?v=HUdA6LdCRk8 description=Finding the quotient (x⁴-2x³+5x)/x is the same as asking "what should we multiply by x to get x⁴-2x³+5x?" We can do this in two ways, which will become useful as we solve more challenging problems. View more lessons or practice this subject at https://www.khanacademy.org/v/dividing-polynomials-by-x Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Multiplying monomials | Polynomial arithmetic | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/7EplN4Ch98Q/default.jpg URL=http://www.youtube.com/watch?v=7EplN4Ch98Q description=A monomial is an expression of the form k⋅xⁿ, where k is a real number and n is a positive integer. It's basically a polynomial with a single term. When were are multiplying two monomials, we can rewrite the product as a single monomial using properties of multiplication and exponents. View more lessons or practice this subject at https://www.khanacademy.org/v/multiply-monomials-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Graphing square and cube root functions | Algebra 2 | Khan academy thumb=https://i.ytimg.com/vi/PI6IV7K3DbM/default.jpg URL=http://www.youtube.com/watch?v=PI6IV7K3DbM description=We can graph various square root and cube root functions by thinking of them as transformations of the parent graphs y=√x and y=∛x. View more lessons or practice this subject at https://www.khanacademy.org/v/graphing-square-and-cube-root Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Scaling functions horizontally: examples | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/npMMbXm9sR0/default.jpg URL=http://www.youtube.com/watch?v=npMMbXm9sR0 description=The function f(k⋅x) is a horizontal scaling of f. See multiple examples of how we relate the two functions and their graphs, and determine the value of k. View more lessons or practice this subject at https://www.khanacademy.org/v/scaling-functions-horizontally Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Scaling functions vertically: examples | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/tRCEBtKLqEw/default.jpg URL=http://www.youtube.com/watch?v=tRCEBtKLqEw description=The function k⋅f(x) is a vertical scaling of f. See multiple examples of how we relate the two functions and their graphs, and determine the value of k. View more lessons or practice this subject at https://www.khanacademy.org/v/vert-function-scaling Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Scaling functions introduction | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/1lt6a77OmLU/default.jpg URL=http://www.youtube.com/watch?v=1lt6a77OmLU description=The graph y=k⋅f(x) (where k is a real number) is similar to the graph y=f(x), but each point's distance from the x-axis is multiplied by k. A similar thing happens when we graph y=f(k⋅x), only now the distance from the y-axis changes. These operations are called "scaling." View more lessons or practice this subject at https://www.khanacademy.org/v/scaling-functions-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Even and odd functions: Find the mistake | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/RAksvTJWgxo/default.jpg URL=http://www.youtube.com/watch?v=RAksvTJWgxo description=See another student's work when trying to determine whether a function is even, odd, or either, and decide whether they made a mistake, and if so, where. View more lessons or practice this subject at https://www.khanacademy.org/v/even-and-odd-functions-find-the-mistake Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Even and odd functions: Equations | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/fTeO-V_VgEc/default.jpg URL=http://www.youtube.com/watch?v=fTeO-V_VgEc description=When we are given the equation of a function f(x), we can check whether the function is even, odd, or neither by evaluating f(-x). If we get an expression that is equivalent to f(x), we have an even function; if we get an expression that is equivalent to -f(x), we have an odd function; and if neither happens, it is neither! View more lessons or practice this subject at https://www.khanacademy.org/v/even-and-odd-functions-equations Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Even and odd functions: Tables | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/eKwJlJUM_d0/default.jpg URL=http://www.youtube.com/watch?v=eKwJlJUM_d0 description=Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x). Let's use these definitions to determine if a function given as a table is even, odd, or neither. View more lessons or practice this subject at https://www.khanacademy.org/v/even-and-odd-functions-tables Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Function symmetry introduction | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/4dOQePLgqxE/default.jpg URL=http://www.youtube.com/watch?v=4dOQePLgqxE description=Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the y-axis we will get the same graph. There are other functions that we can reflect about both the x- and y-axis and get the same graph. These are two types of symmetry we call even and odd functions. View more lessons or practice this subject at https://www.khanacademy.org/v/function-symmetry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Reflecting functions: examples | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/0QOnEoQHZ1k/default.jpg URL=http://www.youtube.com/watch?v=0QOnEoQHZ1k description=We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect it about the y-axis by graphing y=f(-x). We can even reflect it about both axes by graphing y=-f(-x). See how this is applied to solve various problems. View more lessons or practice this subject at https://www.khanacademy.org/v/reflecting-functions-examples Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Reflecting functions introduction | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/mR2y_kohZIw/default.jpg URL=http://www.youtube.com/watch?v=mR2y_kohZIw description=We can reflect the graph of y=f(x) over the x-axis by graphing y=-f(x) and over the y-axis by graphing y=f(-x). See this in action and understand why it happens. View more lessons or practice this subject at https://www.khanacademy.org/v/reflecting-functions-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Shifting functions introduction | Transformations of functions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/RttvubuBhAE/default.jpg URL=http://www.youtube.com/watch?v=RttvubuBhAE description=The graph of y=f(x)+k (where k is a real number) is the same as the graph of y=f(x) only it's shifted up (when k＞0) or down (when k＜0). Similarly, the graph of y=f(x-h) (where h is a real number) is the same as the graph of y=f(x) only it's shifted to the right (when h＞0) or to the left (when h＜0) View more lessons or practice this subject at https://www.khanacademy.org/v/shifting-functions-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Solving equations by graphing: word problems | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/wlhuoE56t3c/default.jpg URL=http://www.youtube.com/watch?v=wlhuoE56t3c description=We can approximate the solutions of any equation by graphing both sides of the equation and looking for intersection point. See how we apply this idea to solve some word problems. View more lessons or practice this subject at https://www.khanacademy.org/v/graphically-solving-equations-word-problems Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Solving equations by graphing: graphing calculator | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/hlFhHN67ICE/default.jpg URL=http://www.youtube.com/watch?v=hlFhHN67ICE description=We can approximate the solutions to any equation by graphing both sides of the equation and looking for intersection points. If we have a graphing calculator, we can get a very good approximation of the solution. View more lessons or practice this subject at https://www.khanacademy.org/v/graphically-solving-equations-calculator Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Khan Academy now offers Official Praxis® Core Prep. thumb=https://i.ytimg.com/vi/cfMgDwsVr6k/default.jpg URL=http://www.youtube.com/watch?v=cfMgDwsVr6k description=We are excited to share with you good news from Khan Academy! We’ve launched Official Praxis® Core Prep - a free, online test prep resource for aspiring teachers to prepare for the Praxis® Core exams! Khan Academy has developed this free test prep resource in collaboration with ETS, the makers of the tests. With its help, aspiring teachers will gain the knowledge and skills they need to succeed on test day and in their future classrooms. This resource is now available for free at https://www.khanacademy.org/praxis-core/description type=video name=Approximating solutions with graphing calculator thumb=https://i.ytimg.com/vi/C5D5NVUK6NE/default.jpg URL=http://www.youtube.com/watch?v=C5D5NVUK6NE description=Approximating solutions with graphing calculator/description type=video name=Extraneous solutions | Equations | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/Hz3vkU3gTeI/default.jpg URL=http://www.youtube.com/watch?v=Hz3vkU3gTeI description=Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation. In this video, we explain how and why we get extraneous solutions, by understanding the logic behind the process of solving equations. View more lessons or practice this subject at https://www.khanacademy.org/v/extraneous-solutions Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Solving equations by graphing: intro | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/573yqfOoMwE/default.jpg URL=http://www.youtube.com/watch?v=573yqfOoMwE description=Some equations are hard to solve exactly with algebraic tools. We can always solve an equation by graphing it, although the solution might not be exact. This is an example of how to solve a relatively simple equation graphically. View more lessons or practice this subject at https://www.khanacademy.org/v/graphical-equations-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=When and why extraneous solution happen thumb=https://i.ytimg.com/vi/-k6K-NoklSo/default.jpg URL=http://www.youtube.com/watch?v=-k6K-NoklSo description=When and why extraneous solution happen/description type=video name=Zeros of polynomials (multiplicity) | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/1ke_xceCevk/default.jpg URL=http://www.youtube.com/watch?v=1ke_xceCevk description=Given the graph of a polynomial and looking at its x-intercepts, we can determine the factors the polynomial must have. Additionally, we can determine whether those factors are raised to an odd power or to an even power (this is called the multiplicity of the factors). View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-multiplicity-examples Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Finding inverses of rational functions | Equations | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/YI30Ecfl4tc/default.jpg URL=http://www.youtube.com/watch?v=YI30Ecfl4tc description=The inverse of a function ƒ is a function that maps every output in ƒ's range to its corresponding input in ƒ's domain. We can find an expression for the inverse of ƒ by solving the equation 𝘹=ƒ(𝘺) for the variable 𝘺. See how it's done with a rational function. View more lessons or practice this subject at https://www.khanacademy.org/v/rational-function-inverse Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Rational equations intro | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/3RdNPrNUi4s/default.jpg URL=http://www.youtube.com/watch?v=3RdNPrNUi4s description=When we have an equation where the variable is in the denominator of a quotient, that's a rational equation. We can solve it by multiplying both sides by the denominator, but we have to look out for extraneous solutions in the process. View more lessons or practice this subject at https://www.khanacademy.org/v/rational-equation-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Solving equations by graphing | Algebra 2 | Khan academy thumb=https://i.ytimg.com/vi/7JkY19bYF28/default.jpg URL=http://www.youtube.com/watch?v=7JkY19bYF28 description=You probably already solved a system of equations by graphing the equations and looking for intersection points. This method can actually be used to solve (or find an approximate solution to) any single equation, no matter what kind! This is a very exciting tool. View more lessons or practice this subject at https://www.khanacademy.org/v/equations-by-graphing Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Quadratic systems: a line and a parabola | Equations | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/Cy1Pxz_wLfA/default.jpg URL=http://www.youtube.com/watch?v=Cy1Pxz_wLfA description=A system of equations that contains one linear equation and one quadratic equations can be solved both graphically and algebraically. Each method has its pros and cons. See an example using both methods. View more lessons or practice this subject at https://www.khanacademy.org/v/line-and-parabola-system Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Multiplicity of zeros of polynomials | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/jrFLb9ZoZH0/default.jpg URL=http://www.youtube.com/watch?v=jrFLb9ZoZH0 description=The polynomial p(x)=(x-1)(x-3)² is a 3rd degree polynomial, but it has only 2 distinct zeros. This is because the zero x=3, which is related to the factor (x-3)², repeats twice. This is called multiplicity. It means that x=3 is a zero of multiplicity 2, and x=1 is a zero of multiplicity 1. Multiplicity is a fascinating concept, and it is directly related to graphical behavior of the polynomial around the zero. View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-zero-multiplicity Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Positive and negative intervals of polynomials | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/z3faK7OV3Ew/default.jpg URL=http://www.youtube.com/watch?v=z3faK7OV3Ew description=If we know all the zeros of a polynomial, then we can determine the intervals over which the polynomial is positive and negative. This is because the polynomial has the same sign between consecutive zeros. So all we need to do is check is interval that is between two consecutive zeros (or before the smallest zero and after the largest zero). View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-intervals Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Zeros of polynomials: plotting zeros | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/5qQUN1fugXQ/default.jpg URL=http://www.youtube.com/watch?v=5qQUN1fugXQ description=When we are given a polynomial in factored form, we can quickly find the polynomial's zeros. Then, we can represent them as the x-intercepts of the polynomial's graph. View more lessons or practice this subject at https://www.khanacademy.org/v/plot-polynomial-zeros Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Zeros of polynomials (with factoring): grouping | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/w0vTAHIS5B4/default.jpg URL=http://www.youtube.com/watch?v=w0vTAHIS5B4 description=When a polynomial is given in factored form, we can quickly find its zeros. When its given in expanded form, we can factor it, and then find the zeros! Here is an example of a 3rd degree polynomial we can factor using the method of grouping. View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-zeros-grouping Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Zeros of polynomials (with factoring): common factor | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/SONskIMkYdU/default.jpg URL=http://www.youtube.com/watch?v=SONskIMkYdU description=When a polynomial is given in factored form, we can quickly find its zeros. When its given in expanded form, we can factor it, and then find the zeros! Here is an example of a 3rd degree polynomial we can factor by first taking a common factor and then using the sum-product pattern. View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-zeros-common-factor Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Zeros of polynomials: matching equation to zeros | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/CtqwiX4wHEY/default.jpg URL=http://www.youtube.com/watch?v=CtqwiX4wHEY description=When we are given a list of the zeros of a polynomial, we can conclude the polynomial must have certain factors, which gives us information about the equation of the polynomial. View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-equation-from-zeros Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Zeros of polynomials: matching equation to graph | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/f-xluUaAfwo/default.jpg URL=http://www.youtube.com/watch?v=f-xluUaAfwo description=When we are given the graph of a polynomial, we can deduce what its zeros are, which helps us determine a few factors the polynomial's equation must include. View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-equation-from-graph Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Classroom Celebrations thumb=https://i.ytimg.com/vi/gIvD4OYCbbA/default.jpg URL=http://www.youtube.com/watch?v=gIvD4OYCbbA description=Students all over the United States developed our growth mindsets and learned many new skills together through LearnStorm. Check out them celebrating! Enroll your classes now: https://www.khanacademy.org/signup?isteacher=1&referral=LearnStorm&continue=https%3A//www.khanacademy.org/coach/dashboard/description type=video name=Polynomial division introduction | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/3eowXt_LNbg/default.jpg URL=http://www.youtube.com/watch?v=3eowXt_LNbg description=When we divide the polynomial p(x) by q(x) we are basically asking "what should we multiply by q(x) to get p(x)?" If this sounds familiar, it's because it's very similar to dividing numbers! In this introduction we see how some quotients end up as a polynomial, while other times we have a remainder and cannot express the quotient as a polynomial. This is very similar to quotients of integers! View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-division-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Zeros of polynomials introduction | Polynomial graphs | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/EtzwLlkoAnM/default.jpg URL=http://www.youtube.com/watch?v=EtzwLlkoAnM description=The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see that they are directly related to the factors of the polynomial. View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-zeros-introduction Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Algebra Foundations - Course Trailer thumb=https://i.ytimg.com/vi/Q1Bn2taqRPQ/default.jpg URL=http://www.youtube.com/watch?v=Q1Bn2taqRPQ description=Sal gives an overview of Khan Academy's mini-course, "Algebra Foundations." In this course, you'll learn: 1. The origins of algebra. 2. You’ll also learn how to evaluate algebraic expressions with variables. 3. And finally, you’ll learn how to write, simplify, and interpret algebraic expressions. To explore our full course on Algebra 1, visit Khan Academy: https://www.khanacademy.org/math/algebra/description type=video name=Intro to Economics - Course Trailer thumb=https://i.ytimg.com/vi/wCHm5SdNO5U/default.jpg URL=http://www.youtube.com/watch?v=wCHm5SdNO5U description=Sal gives an overview of Khan Academy's mini-course, "Introduction to Economics." In this course, you'll learn: 1. How the scarcity of economic resources leads to tradeoffs 2. You’ll also learn how to use the concept of comparative advantage to demonstrate how specialization and trade can make people better off. 3. And finally, you’ll learn how to use a market model to illustrate how changes in supply and demand affect the price of something and how much of it is sold. To explore our full courses on Microeconomics, visit Khan Academy: https://www.khanacademy.org/economics-finance-domain/microeconomics To explore our full courses on Macroeconomics, visit Khan Academy: https://www.khanacademy.org/economics-finance-domain/macroeconomics/description type=video name=Cells - Course Trailer thumb=https://i.ytimg.com/vi/6FpPDGTcJD4/default.jpg URL=http://www.youtube.com/watch?v=6FpPDGTcJD4 description=Sal gives an overview of Khan Academy's mini-course, "Cells." In this course, you'll learn: 1. The history of cell theory. 2. You’ll also learn about the structure of prokaryotic and eukaryotic cells, including plant and animal cells. 3. And finally, you’ll learn about the structure and function of the plasma membrane - the barrier that surrounds most cells. To explore our full course on Cells, visit Khan Academy: https://www.khanacademy.org/science/high-school-biology/hs-cells To explore our full course on High School Biology, visit Khan Academy: https://www.khanacademy.org/science/high-school-biology/description type=video name=Article IV of the Constitution | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/BYuOi8_Qkas/default.jpg URL=http://www.youtube.com/watch?v=BYuOi8_Qkas description=A deep dive into Article IV of the Constitution, which lays out how federalism, the system of shared governance between states and the federal government, works in practice. In this video, Kim Kutz Elliott discusses Article IV with scholars Gabriel Chin and Erin Hawley. To read more, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/relationship-between-states-and-the-federal-government/v/article-iv-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Civil Rights and Civil Liberties - Course Trailer thumb=https://i.ytimg.com/vi/YQmqWRwDG_Q/default.jpg URL=http://www.youtube.com/watch?v=YQmqWRwDG_Q description=Sal gives an overview of Khan Academy's mini-course, "Civil Rights and Civil Liberties." In this course, you'll learn: 1. The difference between civil liberties and civil rights. 2. You’ll also learn what liberties and rights the Bill of Rights protects. 3. And finally, you’ll learn about how people have organized in protest when they felt an infringement on their rights. To explore our full course on U.S. Government and Civics, visit Khan Academy: https://www.khanacademy.org/humanities/us-government-and-civics/description type=video name=McDonald v. Chicago | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/itHQGT-Zvbk/default.jpg URL=http://www.youtube.com/watch?v=itHQGT-Zvbk description=A deep dive into McDonald v. Chicago, a 2010 Supreme Court case that ruled that the Second Amendment's right to keep and bear arms for self-defense in one's home is applicable to the states through the Fourteenth Amendment. In this video, Kim Kutz Elliott discusses the case with litigator Alan Gura and Elizabeth Wydra, President of the Constitutional Accountability Center. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/selective-incorporation/v/mcdonald-v-chicago?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Roe v. Wade | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/mmbm24Pz5xQ/default.jpg URL=http://www.youtube.com/watch?v=mmbm24Pz5xQ description=A deep dive into Roe v. Wade, a 1973 Supreme Court case that extended the right of privacy to a woman's decision to have an abortion, while recognizing compelling state interests in potential life and maternal health. In this video, Kim Kutz Elliott discusses the case with AUL Senior Counsel Clarke Forsythe and Professor Melissa Murray. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/amendments-due-process-and-the-right-to-privacy/v/roe-v-wade?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=The Fifth Amendment | The National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/owtjJVqzrN8/default.jpg URL=http://www.youtube.com/watch?v=owtjJVqzrN8 description=A deep dive into the Fifth Amendment, which requires the government to follow due process of law and includes protections for citizens against self-incrimination and double jeopardy. In this video, Kim Kutz Elliott discusses the Fifth Amendment with scholars Donald Dripps and Stephen Saltzburg. To read more about the Fifth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/article-v-of-the-constitution Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Foundations of American Democracy - Course Trailer thumb=https://i.ytimg.com/vi/q_BeHbK5N10/default.jpg URL=http://www.youtube.com/watch?v=q_BeHbK5N10 description=Sal gives an overview of Khan Academy's mini-course, "Foundations of American Democracy." In this course, you'll learn: 1. The ideals that shape American democracy. 2. You’ll also learn how debates between Federalists and Anti-Federalists shaped the Constitution into what it is today. 3. And finally, you’ll learn what powers are exclusive to the federal government, exclusive to the state governments, and what powers they share. To explore our full course on U.S. Government and Civics, visit Khan Academy: https://www.khanacademy.org/humanities/us-government-and-civics/description type=video name=Baker v. Carr | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/vlNuXDePYoM/default.jpg URL=http://www.youtube.com/watch?v=vlNuXDePYoM description=A deep dive into Baker v. Carr, a Supreme Court case concerning equality in voting districts. Decided in 1962, the ruling established the standard of "one person, one vote" and opened the door for the Court to rule on districting cases. In this video, Kim Kutz Elliott discusses the case with Professor Guy-Uriel Charles and former Solicitor General Theodore Olson. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/congressional-behavior/v/baker-v-carr?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Brown v. Board of Education of Topeka | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/o9HzkYErzd8/default.jpg URL=http://www.youtube.com/watch?v=o9HzkYErzd8 description=A deep dive into Brown v. Board of Education of Topeka, a Supreme Court case decided in 1954. It ended the doctrine of "separate but equal" and brought an end to racial segregation in schools. In this video, Kim Kutz Elliott discusses the case with scholars Michael McConnell and Theodore Shaw and To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/government-responses-to-social-movements/v/brown-v-board-of-education-of-topeka-us-government-and-politics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=McCulloch v. Maryland | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/ANQIKpEvcrE/default.jpg URL=http://www.youtube.com/watch?v=ANQIKpEvcrE description=A deep dive into McCulloch v. Maryland, a Supreme Court case decided in 1819. It established the supremacy of federal law over state law. In this video, Kim Kutz Elliott discusses the case with scholars Randy Barnett and Neil Siegel. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/constitutional-interpretations-of-federalism/v/mcculloch-v-maryland?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=The Fourth Amendment | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/uyXAb8jCKoU/default.jpg URL=http://www.youtube.com/watch?v=uyXAb8jCKoU description=A deep dive into the Fourth Amendment, which protects citizens from unreasonable searches and seizures. In this video, Kim Kutz Elliott discusses the Fourth Amendment with scholars Orin Kerr and Tracey Meares. To read more about the Fourth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at d-politics/civil-liberties-and-civil-rights/amendments-balancing-individual-freedom-with-public-order-and-safety/v/the-fourth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=The Second Amendment | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/cJa-C0yJ854/default.jpg URL=http://www.youtube.com/watch?v=cJa-C0yJ854 description=A deep dive into the Second Amendment, which states that "A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed." In this video, Kim Kutz Elliott discusses the Second Amendment with scholars Alan Gura and Adam Winkler. To read more about the Second Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/second-amendment/v/the-second-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=The Sixth Amendment | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/rQB1nbrhUK8/default.jpg URL=http://www.youtube.com/watch?v=rQB1nbrhUK8 description=A deep dive into the Sixth Amendment, which guarantees citizens the right to a speedy and public trial. In this video, Kim Kutz Elliott discusses the Sixth Amendment with scholars Stephanos Bibas and Jeffrey Fisher. To read more about the Sixth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/due-process-rights-of-accused/v/the-sixth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Article VII of the Constitution | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/uyy3CF9-cEI/default.jpg URL=http://www.youtube.com/watch?v=uyy3CF9-cEI description=A deep dive into Article VII, which established the conditions for the ratification of the US Constitution. In this video, Kim Kutz Elliott discusses Article VII with scholars Mark Graber and Michael Rappaport. To read more about Article VII, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/article-vii-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=The First Amendment | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/cyifS1CLpvw/default.jpg URL=http://www.youtube.com/watch?v=cyifS1CLpvw description=A deep dive into the First Amendment, which guarantees US citizens freedom of religion, speech, press, and assembly. In this video, Kim Kutz Elliott discusses the First Amendment with scholars Erwin Chemerinsky and Michael McConnell. To read more about the First Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/first-amendment-religion/v/the-first-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Article V of the Constitution | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/YjXrkROJbBU/default.jpg URL=http://www.youtube.com/watch?v=YjXrkROJbBU description=A deep dive into Article V of the US Constitution, which establishes the amendment process. In this video, Kim Kutz Elliott discusses Article V with scholars Michael Rappaport and David Strauss. To read more, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/article-v-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Article VI of the Constitution | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/09HMm56nkis/default.jpg URL=http://www.youtube.com/watch?v=09HMm56nkis description=A deep dive into Article VI, which acts as the "glue" of the Constitution, holding together the new United States through a shared commitment to the Constitution's principles. In this video, Kim Kutz Elliott discusses Article VI with scholars Michael Ramsey and Kermit Roosevelt. To read more, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/article-vi-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=The Constitution, Bill of Rights, and Landmark Supreme Court Cases - Course Trailer thumb=https://i.ytimg.com/vi/V3rak1OLkWo/default.jpg URL=http://www.youtube.com/watch?v=V3rak1OLkWo description=Sal gives an overview of Khan Academy's mini-course, "The Constitution, Bill of Rights, and Landmark Supreme Court Cases." In this course, you'll learn: 1. The individual parts that make up the US Constitution. 2. You’ll also learn the major Supreme Court cases that have shaped the United States today. 3. And finally, you’ll learn about which rights and civil liberties are protected under the Bill of Rights. To explore our full course on U.S. Government and Civics, visit Khan Academy: https://www.khanacademy.org/humanities/us-government-and-civics/description type=video name=Slope, x-intercept, y-intercept meaning in context | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XQlaZuh7E8w/default.jpg URL=http://www.youtube.com/watch?v=XQlaZuh7E8w description=Practice determining what each of the slope, x-intercept, and y-intercept represent in a given linear relationship. View more lessons or practice this subject at https://www.khanacademy.org/math/algebra Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Slope and intercept meaning from a table | Linear equations & graphs | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/nc9XHXlxSyM/default.jpg URL=http://www.youtube.com/watch?v=nc9XHXlxSyM description=Given a linear relationship in a table, Sal graphs the relationship to explore what the slope and intercepts mean in the given context. View more lessons or practice this subject at https://www.khanacademy.org/math/algebra Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Slope and intercept in tables thumb=https://i.ytimg.com/vi/TYbN--4KHIk/default.jpg URL=http://www.youtube.com/watch?v=TYbN--4KHIk description=Practice determining which feature of a linear model (the slope, the x-intercept, or the y-intercept) is useful for answering a given question in context. View more lessons or practice this subject at https://www.khanacademy.org/math/algebra Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating slope from tables | Linear equations & graphs | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/pGsicLglzY8/default.jpg URL=http://www.youtube.com/watch?v=pGsicLglzY8 description=Practice calculating the slope of a line given some points on the line shown in a table. View more lessons or practice this subject at https://www.khanacademy.org/math/algebra Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Graphing a line given point and slope | Linear equations & graphs | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/5mgH-_5UJ54/default.jpg URL=http://www.youtube.com/watch?v=5mgH-_5UJ54 description=Practice graphing a line given its slope and a point the line passes through. View more lessons or practice this subject at https://www.khanacademy.org/math/algebra Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dividing whole numbers by decimals examples thumb=https://i.ytimg.com/vi/se7rSl-tHkg/default.jpg URL=http://www.youtube.com/watch?v=se7rSl-tHkg description=Dividing whole numbers by decimals examples/description type=video name=Pattern when dividing by tenths and hundredths thumb=https://i.ytimg.com/vi/W6OAc7NKrSI/default.jpg URL=http://www.youtube.com/watch?v=W6OAc7NKrSI description=Pattern when dividing by tenths and hundredths/description type=video name=Pattern when dividing by tenths and hundredths thumb=https://i.ytimg.com/vi/nw_ybC3PGsY/default.jpg URL=http://www.youtube.com/watch?v=nw_ybC3PGsY description=Pattern when dividing by tenths and hundredths/description type=video name=Dividing a whole number by a decimal on a number line thumb=https://i.ytimg.com/vi/PxafebH1u2k/default.jpg URL=http://www.youtube.com/watch?v=PxafebH1u2k description=Dividing a whole number by a decimal on a number line/description type=video name=Dividing a decimal by a whole number on the number line thumb=https://i.ytimg.com/vi/7Wm0VOTPz5Q/default.jpg URL=http://www.youtube.com/watch?v=7Wm0VOTPz5Q description=Dividing a decimal by a whole number on the number line/description type=video name=How interest rates affect interest rates, financial flows, and exchange rates thumb=https://i.ytimg.com/vi/_etdZ9G8D4A/default.jpg URL=http://www.youtube.com/watch?v=_etdZ9G8D4A description=How interest rates affect interest rates, financial flows, and exchange rates/description type=video name=Failure of Reconstruction | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/FqPozblg-MY/default.jpg URL=http://www.youtube.com/watch?v=FqPozblg-MY description=During Reconstruction, three new amendments to the Constitution redefined freedom, citizenship, and democracy in the United States. But how much really changed? In this video, Kim Kutz Elliott examines continuity and change over time in the lives of African Americans in the South before and after Reconstruction./description type=video name=The Mexican-American War | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/QKRYLUlGlWc/default.jpg URL=http://www.youtube.com/watch?v=QKRYLUlGlWc description=What were the causes and effects of the Mexican-American War? In this video, Kim Kutz Elliott discusses how Manifest Destiny and the annexation of Texas brought on the war, as well as how the war affected US politics and the existing residents of the Mexican Cession./description type=video name=Labor-leisure tradeoff | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/i5RIEwI6Hcs/default.jpg URL=http://www.youtube.com/watch?v=i5RIEwI6Hcs description=Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from a college level Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing by 0.1 and 0.01 thumb=https://i.ytimg.com/vi/4uEik_57Syw/default.jpg URL=http://www.youtube.com/watch?v=4uEik_57Syw description=Dividing by 0.1 and 0.01/description type=video name=Introduction to remainders thumb=https://i.ytimg.com/vi/P1qyjdh_sIw/default.jpg URL=http://www.youtube.com/watch?v=P1qyjdh_sIw description=Introduction to remainders/description type=video name=Examples dividing by tenths and hundredths thumb=https://i.ytimg.com/vi/SuNKcQj1JRE/default.jpg URL=http://www.youtube.com/watch?v=SuNKcQj1JRE description=Examples dividing by tenths and hundredths/description type=video name=Estimating quotients thumb=https://i.ytimg.com/vi/6RT_dE3W-00/default.jpg URL=http://www.youtube.com/watch?v=6RT_dE3W-00 description=Estimating quotients/description type=video name=Estimating division that results in non whole numbers thumb=https://i.ytimg.com/vi/VJyk81HmcZQ/default.jpg URL=http://www.youtube.com/watch?v=VJyk81HmcZQ description=Estimating division that results in non whole numbers/description type=video name=Introduction to division with partial quotients thumb=https://i.ytimg.com/vi/Ws4Zq-gceSY/default.jpg URL=http://www.youtube.com/watch?v=Ws4Zq-gceSY description=Introduction to division with partial quotients/description type=video name=Visually dividing a whole number by a decimal thumb=https://i.ytimg.com/vi/aklVb3Z5jx4/default.jpg URL=http://www.youtube.com/watch?v=aklVb3Z5jx4 description=Visually dividing a whole number by a decimal/description type=video name=Dividing a decimal by a whole number example thumb=https://i.ytimg.com/vi/bIRwzhhBzEU/default.jpg URL=http://www.youtube.com/watch?v=bIRwzhhBzEU description=Dividing a decimal by a whole number example/description type=video name=Division with partial quotients example thumb=https://i.ytimg.com/vi/gamEPRpt9jo/default.jpg URL=http://www.youtube.com/watch?v=gamEPRpt9jo description=Division with partial quotients example/description type=video name=2 step estimation example thumb=https://i.ytimg.com/vi/hzh10qtOxpg/default.jpg URL=http://www.youtube.com/watch?v=hzh10qtOxpg description=2 step estimation example/description type=video name=Visually dividing decimal by whole number thumb=https://i.ytimg.com/vi/rYsK3mI0Nto/default.jpg URL=http://www.youtube.com/watch?v=rYsK3mI0Nto description=Visually dividing decimal by whole number/description type=video name=Describing numerical relationships with polynomial identities | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/uJwq67y5wAY/default.jpg URL=http://www.youtube.com/watch?v=uJwq67y5wAY description=Polynomial identities can be used to explain or describe various things in math. For example, we can use identities to prove that the differences between consecutive square numbers (1,4,9,...) are consecutive odd numbers (1,3,5,...). View more lessons or practice this subject at https://www.khanacademy.org/v/relationships-w-poly-identities Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to standard way of multiplying multidigit numbers thumb=https://i.ytimg.com/vi/NuIDwPQLJmk/default.jpg URL=http://www.youtube.com/watch?v=NuIDwPQLJmk description=Introduction to standard way of multiplying multidigit numbers/description type=video name=Strategies for multiplying decimals thumb=https://i.ytimg.com/vi/yueSfjh2ra4/default.jpg URL=http://www.youtube.com/watch?v=yueSfjh2ra4 description=Strategies for multiplying decimals/description type=video name=Worked examples for standard algorithm exercise thumb=https://i.ytimg.com/vi/GOYnrYee1Y0/default.jpg URL=http://www.youtube.com/watch?v=GOYnrYee1Y0 description=Worked examples for standard algorithm exercise/description type=video name=Dividing by a two digit number thumb=https://i.ytimg.com/vi/cSTRd8WOpNE/default.jpg URL=http://www.youtube.com/watch?v=cSTRd8WOpNE description=Dividing by a two digit number/description type=video name=Example using estimation for decimal products thumb=https://i.ytimg.com/vi/005032IwRME/default.jpg URL=http://www.youtube.com/watch?v=005032IwRME description=Example using estimation for decimal products/description type=video name=Division resulting in decimals thumb=https://i.ytimg.com/vi/29qKGbhFnf8/default.jpg URL=http://www.youtube.com/watch?v=29qKGbhFnf8 description=Division resulting in decimals/description type=video name=Visual representations of decimal multiplication thumb=https://i.ytimg.com/vi/K-bA-k_9Rg0/default.jpg URL=http://www.youtube.com/watch?v=K-bA-k_9Rg0 description=Visual representations of decimal multiplication/description type=video name=Strategies for multiplying multi digit decimals thumb=https://i.ytimg.com/vi/RtXpRld8vb4/default.jpg URL=http://www.youtube.com/watch?v=RtXpRld8vb4 description=Strategies for multiplying multi digit decimals/description type=video name=Multiplying decimals using estimation thumb=https://i.ytimg.com/vi/VQN6MvdJRx4/default.jpg URL=http://www.youtube.com/watch?v=VQN6MvdJRx4 description=Multiplying decimals using estimation/description type=video name=Estimating with decimal multiplication thumb=https://i.ytimg.com/vi/d3Qg71bZ4Rw/default.jpg URL=http://www.youtube.com/watch?v=d3Qg71bZ4Rw description=Estimating with decimal multiplication/description type=video name=Example multiplying multi digit numbers thumb=https://i.ytimg.com/vi/lH6ptl4_LCE/default.jpg URL=http://www.youtube.com/watch?v=lH6ptl4_LCE description=Example multiplying multi digit numbers/description type=video name=Division resulting in decimals example 2 thumb=https://i.ytimg.com/vi/shSrtFE2OoM/default.jpg URL=http://www.youtube.com/watch?v=shSrtFE2OoM description=Division resulting in decimals example 2/description type=video name=Multiplying 2-digit by 1-digit with partial products thumb=https://i.ytimg.com/vi/RSx20wLxctc/default.jpg URL=http://www.youtube.com/watch?v=RSx20wLxctc description=We can multiply larger numbers by multiplying by the tens and ones separately, then adding the products together. Multiplying with partial products is one way we use the distributive property./description type=video name=Understanding factor pairs thumb=https://i.ytimg.com/vi/KcKOM7Degu0/default.jpg URL=http://www.youtube.com/watch?v=KcKOM7Degu0 description=Understanding factor pairs/description type=video name=Multiplying two 2-digit numbers using partial products thumb=https://i.ytimg.com/vi/O2ifHv-3dZA/default.jpg URL=http://www.youtube.com/watch?v=O2ifHv-3dZA description=26 times 37 is the same as 20 times 37 plus 6 times 27. The distributive property allows us to find each part of the product, like 3 tens times 2 tens, then add them all to get the whole product./description type=video name=Examples identifying multiples thumb=https://i.ytimg.com/vi/U5L_aaQ6pYQ/default.jpg URL=http://www.youtube.com/watch?v=U5L_aaQ6pYQ description=Examples identifying multiples/description type=video name=Reasoning about factors and multiples thumb=https://i.ytimg.com/vi/g805f4HlV1Y/default.jpg URL=http://www.youtube.com/watch?v=g805f4HlV1Y description=Reasoning about factors and multiples/description type=video name=Comparing decimals example thumb=https://i.ytimg.com/vi/Dese7hoWZMM/default.jpg URL=http://www.youtube.com/watch?v=Dese7hoWZMM description=Comparing decimals example/description type=video name=Estimating with multiplication thumb=https://i.ytimg.com/vi/eXJb76JUvko/default.jpg URL=http://www.youtube.com/watch?v=eXJb76JUvko description=Estimating with multiplication/description type=video name=Estimating 2 digit multiplication example thumb=https://i.ytimg.com/vi/FCFYGpY-MM0/default.jpg URL=http://www.youtube.com/watch?v=FCFYGpY-MM0 description=Estimating 2 digit multiplication example/description type=video name=Compare with multiplication examples thumb=https://i.ytimg.com/vi/eaGBLBB375U/default.jpg URL=http://www.youtube.com/watch?v=eaGBLBB375U description=Compare with multiplication examples/description type=video name=Price discrimination for a monopoly | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/gcq9KFpEuLc/default.jpg URL=http://www.youtube.com/watch?v=gcq9KFpEuLc description=Price discrimination is charging each consumer their entire willingness to pay. What if a monopolist can charge each buyer their entire willingness to pay? Learn about the effect of perfect price discrimination on output and deadweight loss in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shutting down or exiting industry based on price | AP Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/iI5DShNjUlQ/default.jpg URL=http://www.youtube.com/watch?v=iI5DShNjUlQ description=In this video, we explore the conditions under which firms enter an industry, exit an industry, or shut down based on the relationship between price and costs./description type=video name=Factoring using polynomial division | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/I9PiXAbjnMQ/default.jpg URL=http://www.youtube.com/watch?v=I9PiXAbjnMQ description=If we know one linear factor of a higher degree polynomial, we can use polynomial division to find other factors of the polynomial. For example, we can use the fact that (x+2) is a factor of (4x³+19x²+19x-6) in order to completely factor the polynomial. View more lessons or practice this subject at https://www.khanacademy.org/v/factor-w-poly-div Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to polynomial division thumb=https://i.ytimg.com/vi/sVocg1vMriU/default.jpg URL=http://www.youtube.com/watch?v=sVocg1vMriU description=Introduction to polynomial division/description type=video name=2 step estimation word problems thumb=https://i.ytimg.com/vi/1Hdz_1_c_CY/default.jpg URL=http://www.youtube.com/watch?v=1Hdz_1_c_CY description=2 step estimation word problems/description type=video name=Examples thinking about multiplying even and odd numbers thumb=https://i.ytimg.com/vi/ZIUE3m5xqX4/default.jpg URL=http://www.youtube.com/watch?v=ZIUE3m5xqX4 description=Examples thinking about multiplying even and odd numbers/description type=video name=Setting up 2 step expressions thumb=https://i.ytimg.com/vi/sG2FX1ikNKQ/default.jpg URL=http://www.youtube.com/watch?v=sG2FX1ikNKQ description=Setting up 2 step expressions/description type=video name=Patterns in hundreds chart thumb=https://i.ytimg.com/vi/sQP5VRnCCUY/default.jpg URL=http://www.youtube.com/watch?v=sQP5VRnCCUY type=video name=Recognizing number pattern examples thumb=https://i.ytimg.com/vi/skDNVst7Glw/default.jpg URL=http://www.youtube.com/watch?v=skDNVst7Glw description=Recognizing number pattern examples/description type=video name=Worked example of a profit maximization problem | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/HkSBTdSzPb8/default.jpg URL=http://www.youtube.com/watch?v=HkSBTdSzPb8 description=In this video, we explore how to use side-by-side graphs to illustrate profit maximization for a perfectly competitive firm. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=When to use multiplication thumb=https://i.ytimg.com/vi/vdJn_ncXpv8/default.jpg URL=http://www.youtube.com/watch?v=vdJn_ncXpv8 description=When to use multiplication/description type=video name=Order when multiplying commutative property of multiplication thumb=https://i.ytimg.com/vi/zwD1A9159F4/default.jpg URL=http://www.youtube.com/watch?v=zwD1A9159F4 description=Order when multiplying commutative property of multiplication/description type=video name=Division as equal groupings thumb=https://i.ytimg.com/vi/mGvunan-I-Q/default.jpg URL=http://www.youtube.com/watch?v=mGvunan-I-Q description=Division as equal groupings/description type=video name=Using the distributive property when multiplying thumb=https://i.ytimg.com/vi/zRgnVbh6psI/default.jpg URL=http://www.youtube.com/watch?v=zRgnVbh6psI description=Using the distributive property when multiplying/description type=video name=Using associate property to simplify multiplication thumb=https://i.ytimg.com/vi/bfN7CzSa1MM/default.jpg URL=http://www.youtube.com/watch?v=bfN7CzSa1MM description=Using associate property to simplify multiplication/description type=video name=Division in context examples thumb=https://i.ytimg.com/vi/vBWuQnmiY3k/default.jpg URL=http://www.youtube.com/watch?v=vBWuQnmiY3k description=Division in context examples/description type=video name=What order to do operations in thumb=https://i.ytimg.com/vi/lKpPyvRRvKs/default.jpg URL=http://www.youtube.com/watch?v=lKpPyvRRvKs description=What order to do operations in/description type=video name=Visualizing division with arrays thumb=https://i.ytimg.com/vi/qIAszZBV84s/default.jpg URL=http://www.youtube.com/watch?v=qIAszZBV84s description=Visualizing division with arrays/description type=video name=Remainder theorem examples | Polynomial Division | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/dBOpC_-PDTA/default.jpg URL=http://www.youtube.com/watch?v=dBOpC_-PDTA description=The polynomial remainder theorem says that for a polynomial p(x) and a number a, the remainder on division by (x-a) is p(a). This might not be very clear right now, but you will understand this much better after watching these examples. View more lessons or practice this subject at https://www.khanacademy.org/v/remainder-theorem-examples Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dividing polynomials by x (no remainders) | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/dRvLVdQ8cw4/default.jpg URL=http://www.youtube.com/watch?v=dRvLVdQ8cw4 description=Finding the quotient (x⁴-2x³+5x)/x is the same as asking "what should we multiply by x to get x⁴-2x³+5x?" We can do this in two ways, which will become useful as we solve more challenging problems. View more lessons or practice this subject at https://www.khanacademy.org/v/dividing-polynomials-by-x Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dividing quadratics by linear expressions with remainders: missing x-term | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/CDJGU9P_pGU/default.jpg URL=http://www.youtube.com/watch?v=CDJGU9P_pGU description=An interesting case in polynomial division is when one of the terms is missing. For example, (x²+1) divided by (x+2). Learn how to avoid any mistakes in such cases. View more lessons or practice this subject at https://www.khanacademy.org/v/quad-div-by-linear-missing-x-term Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dividing quadratics by linear expressions with remainders | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/-veSAbfer7Q/default.jpg URL=http://www.youtube.com/watch?v=-veSAbfer7Q description=The result of dividing (x²+5x+8) by (x+2) is (x+3) with a remainder of 2. This means there is no polynomial we can multiply by (x+2) to get (x²+5x+8). Instead, we need to multiply (x+2) by (x+3)+2/(x+2). View more lessons or practice this subject at https://www.khanacademy.org/v/quad-div-by-linear-with-remainder Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Simple polynomial division thumb=https://i.ytimg.com/vi/XNw0FsIlebE/default.jpg URL=http://www.youtube.com/watch?v=XNw0FsIlebE description=Simple polynomial division/description type=video name=Dividing polynomials by linear expressions | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/G2VBRwXq1q4/default.jpg URL=http://www.youtube.com/watch?v=G2VBRwXq1q4 description=Dividing (3x³+4x²-3x+7) by (x+2) using long division. View more lessons or practice this subject at https://www.khanacademy.org/v/poly-div-by-linear Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dividing polynomials by linear expressions: missing term | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/QTZ5Dn0t6M4/default.jpg URL=http://www.youtube.com/watch?v=QTZ5Dn0t6M4 description=Dividing (2x³-47x-15) by (x-5) using long division. Notice that there's no x²-term, so we need to be careful during the long division. View more lessons or practice this subject at https://www.khanacademy.org/v/poly-div-by-linear-missing-term Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Factoring using polynomial division: missing term | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/AkY3DGzrvk8/default.jpg URL=http://www.youtube.com/watch?v=AkY3DGzrvk8 description=If we know one linear factor of a higher degree polynomial, we can use polynomial division to find other factors of the polynomial. For example, we can use the fact that (x+6) is a factor of (x³+9x²-108) in order to completely factor the polynomial. We just need to be careful because the polynomial has no x-term. View more lessons or practice this subject at https://www.khanacademy.org/v/factor-w-poly-div-missing-term Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Geometric series word problems: swing | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/NlzK79p3QDQ/default.jpg URL=http://www.youtube.com/watch?v=NlzK79p3QDQ description=The length a monkey passes when swinging from a tree can be modeled by a geometric series! Finding an expression for the total length and calculating it for a specific number of swings. View more lessons or practice this subject at https://www.khanacademy.org/v/geo-series-word-problem-swing Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to factoring higher degree polynomials | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/7y_2jQlnKag/default.jpg URL=http://www.youtube.com/watch?v=7y_2jQlnKag description=We first learn about factoring when we work with quadratics. But we can also factor polynomials whose degree is higher than 2. This introduction video is an overview of all the different methods we use to do it. View more lessons or practice this subject at https://www.khanacademy.org/v/factor-high-deg-poly-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Geometric series word problems: hike | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/9jxd1EUfQnc/default.jpg URL=http://www.youtube.com/watch?v=9jxd1EUfQnc description=Modeling the length of a hike with a geometric series. View more lessons or practice this subject at https://www.khanacademy.org/v/geo-series-word-problem-hike Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sign of average rate of change of polynomial | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/9COoRE8pc5k/default.jpg URL=http://www.youtube.com/watch?v=9COoRE8pc5k description=Finding the intervals where the polynomial h(x)=⅛x³-x² has a positive average rate of change. View more lessons or practice this subject at https://www.khanacademy.org/v/sign-of-avg-rate-of-change-polynomial Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Skip counting equal groups thumb=https://i.ytimg.com/vi/1tjJDdszcZg/default.jpg URL=http://www.youtube.com/watch?v=1tjJDdszcZg description=Skip counting equal groups/description type=video name=Multiplying and dividing decimals by 10, 100, 1000 thumb=https://i.ytimg.com/vi/6fLNcGSa_L4/default.jpg URL=http://www.youtube.com/watch?v=6fLNcGSa_L4 description=Multiplying and dividing decimals by 10, 100, 1000/description type=video name=Multiplying and dividing decimals by 10 thumb=https://i.ytimg.com/vi/HeiYNlVM-TY/default.jpg URL=http://www.youtube.com/watch?v=HeiYNlVM-TY description=Multiplying and dividing decimals by 10/description type=video name=Introduction to multiplication thumb=https://i.ytimg.com/vi/NVhA7avdTAw/default.jpg URL=http://www.youtube.com/watch?v=NVhA7avdTAw description=Introduction to multiplication/description type=video name=Multiplication on the number line thumb=https://i.ytimg.com/vi/PLDfl6daajo/default.jpg URL=http://www.youtube.com/watch?v=PLDfl6daajo description=Multiplication on the number line/description type=video name=Introduction to powers of 10 thumb=https://i.ytimg.com/vi/Xvsqv2oO2ac/default.jpg URL=http://www.youtube.com/watch?v=Xvsqv2oO2ac description=Introduction to powers of 10/description type=video name=Multiplying and dividing by powers of 10 thumb=https://i.ytimg.com/vi/jBN69fm8_T0/default.jpg URL=http://www.youtube.com/watch?v=jBN69fm8_T0 description=Multiplying and dividing by powers of 10/description type=video name=Multiplication as repeated addition thumb=https://i.ytimg.com/vi/qUAeDpmqWDQ/default.jpg URL=http://www.youtube.com/watch?v=qUAeDpmqWDQ description=Multiplication as repeated addition/description type=video name=Multiplying and dividing by 10, 100, 1000 thumb=https://i.ytimg.com/vi/yVg6LyNgIT8/default.jpg URL=http://www.youtube.com/watch?v=yVg6LyNgIT8 description=Multiplying and dividing by 10, 100, 1000/description type=video name=The Eighth Amendment | National Constitution Center | Khan Academy thumb=https://i.ytimg.com/vi/i2ewIPvsWpo/default.jpg URL=http://www.youtube.com/watch?v=i2ewIPvsWpo description=A deep dive into the Eighth Amendment, which protects citizens from excessive fines and cruel and unusual punishment. In this video, Kim Kutz Elliott discusses the Eighth Amendment with scholars John Bessler and John Stinneford. To read more about the Eighth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/amendments-balancing-individual-freedom-with-public-order-and-safety/v/the-eighth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute/description type=video name=Regrouping with decimals thumb=https://i.ytimg.com/vi/vZmR_21Dwrg/default.jpg URL=http://www.youtube.com/watch?v=vZmR_21Dwrg description=Regrouping with decimals/description type=video name=Expressing decimals in multiple forms thumb=https://i.ytimg.com/vi/U3w9ppDv_MU/default.jpg URL=http://www.youtube.com/watch?v=U3w9ppDv_MU description=Expressing decimals in multiple forms/description type=video name=Visual understanding of regrouping decimals thumb=https://i.ytimg.com/vi/e_KEaTPcPKg/default.jpg URL=http://www.youtube.com/watch?v=e_KEaTPcPKg description=Visual understanding of regrouping decimals/description type=video name=Ordering decimals thumb=https://i.ytimg.com/vi/RmHmtLQ-pqU/default.jpg URL=http://www.youtube.com/watch?v=RmHmtLQ-pqU description=Ordering decimals/description type=video name=Comparing decimals in different representations thumb=https://i.ytimg.com/vi/_tk3nWC5OAA/default.jpg URL=http://www.youtube.com/watch?v=_tk3nWC5OAA description=Comparing decimals in different representations/description type=video name=Thousandths on the number line thumb=https://i.ytimg.com/vi/ABHQJFWZGsk/default.jpg URL=http://www.youtube.com/watch?v=ABHQJFWZGsk description=Thousandths on the number line/description type=video name=Place value with decimals thumb=https://i.ytimg.com/vi/wtrrr15mbvQ/default.jpg URL=http://www.youtube.com/watch?v=wtrrr15mbvQ description=Place value with decimals/description type=video name=Writing decimals and fractions from number lines thumb=https://i.ytimg.com/vi/68mrr430De0/default.jpg URL=http://www.youtube.com/watch?v=68mrr430De0 description=Examples writing decimals and fractions greater than 1 shown on number lines/description type=video name=Writing numbers in words and standard form thumb=https://i.ytimg.com/vi/eLRMI2ZX5Qw/default.jpg URL=http://www.youtube.com/watch?v=eLRMI2ZX5Qw description=Writing numbers in words and standard form/description type=video name=Examples writing decimals and fractions greater than 1 shown on grids thumb=https://i.ytimg.com/vi/ek0zu14IP7g/default.jpg URL=http://www.youtube.com/watch?v=ek0zu14IP7g description=Examples writing decimals and fractions greater than 1 shown on grids/description type=video name=Examples relating decimals and fractions in words thumb=https://i.ytimg.com/vi/5TwOaUrniaI/default.jpg URL=http://www.youtube.com/watch?v=5TwOaUrniaI description=Examples relating decimals and fractions in words/description type=video name=Estimating when subtracting large numbers thumb=https://i.ytimg.com/vi/de2aad2y03g/default.jpg URL=http://www.youtube.com/watch?v=de2aad2y03g description=Estimating when subtracting large numbers/description type=video name=Place value tables thumb=https://i.ytimg.com/vi/2njG0S_GuVA/default.jpg URL=http://www.youtube.com/watch?v=2njG0S_GuVA description=Place value tables/description type=video name=Geometric series introduction | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/BdsURIUQ04k/default.jpg URL=http://www.youtube.com/watch?v=BdsURIUQ04k description=A geometric series is the sum of the first few terms of a geometric sequence. For example, 1, 2, 4, 8,... is a geometric sequence, and 1+2+4+8+... is a geometric series. See an example where a geometric series helps us describe a savings account balance. View more lessons or practice this subject at https://www.khanacademy.org/v/geo-series-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Plessy v. Ferguson | The Gilded Age (1865-1898) | US history | Khan Academy thumb=https://i.ytimg.com/vi/IfybCoVN9G8/default.jpg URL=http://www.youtube.com/watch?v=IfybCoVN9G8 description=Plessy v. Ferguson was an 1896 Supreme Court case concerning whether "separate but equal" railway cars for black and white Americans violated the equal protection clause of the Fourteenth Amendment. In this video, Kim Kutz Elliott discusses the case with scholars Jamal Greene and Earl Maltz. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-history To read more about constitutional law, visit the National Constitution Center’s website: https://constitutioncenter.org On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/plessy-v-ferguson?utm_source=youtube&utm_medium=desc&utm_campaign=ushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Polynomial identities introduction | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/EvNKKyhLSpQ/default.jpg URL=http://www.youtube.com/watch?v=EvNKKyhLSpQ description=Polynomial identities are equations that are true for all possible values of the variable. For example, x²+2x+1=(x+1)² is an identity. This introduction video gives more examples of identities and discusses how we prove an equation is an identity. View more lessons or practice this subject at https://www.khanacademy.org/v/polynomial-identities-intro Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=What was the Articles of Confederation? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/evPP1FDePOY/default.jpg URL=http://www.youtube.com/watch?v=evPP1FDePOY description=John Dickerson discusses the history and the significance of the Articles of Confederation. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Why was George Washington the first president? | US History | Khan Academy thumb=https://i.ytimg.com/vi/vuC_4Y1zgZw/default.jpg URL=http://www.youtube.com/watch?v=vuC_4Y1zgZw description=John Dickerson discusses George Washington's leadership qualities and his role as president. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=What was the Gilded Age? | US History | Khan Academy thumb=https://i.ytimg.com/vi/2MEyuKGw6-A/default.jpg URL=http://www.youtube.com/watch?v=2MEyuKGw6-A description=John Dickerson discusses the characteristics of the Gilded Age and how the era got its name. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Identifying quadratic patterns | Polynomial factorization | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/OcavJJA8Uyg/default.jpg URL=http://www.youtube.com/watch?v=OcavJJA8Uyg description=Determining whether the polynomial 9x⁸+6x⁴y+y² can be factored using the perfect square pattern or the difference of squares pattern (or neither). View more lessons or practice this subject at https://www.khanacademy.org/v/id-quad-patterns Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Factorization with substitution | Polynomial factorization | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/js5cP-rq0FI/default.jpg URL=http://www.youtube.com/watch?v=js5cP-rq0FI description=Determining what to substitute for U and V in the pattern (U+V)²=U²+2UV+V² in order to factor (x+7)²+2y²(x+7)+y⁴. View more lessons or practice this subject at https://www.khanacademy.org/v/factor-w-substitution Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Factoring higher degree polynomials | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/AUBX_aHStQY/default.jpg URL=http://www.youtube.com/watch?v=AUBX_aHStQY description=Factoring a partially factored polynomial and factoring a third degree polynomial by grouping. View more lessons or practice this subject at https://www.khanacademy.org/v/factor-high-deg-poly Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Polynomial special products: perfect square | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/hw5DE8HSZk0/default.jpg URL=http://www.youtube.com/watch?v=hw5DE8HSZk0 description=The perfect square pattern tells us that (a+b)²=a²+2ab+b². This can be used to expand (x+1)² as x²+2x+1, but also to expand (5x⁶+4)² as 25x¹²+40x⁶+16, or (3t²-7t⁶)² as 9t⁴-42t⁸+49t¹². View more lessons or practice this subject at https://www.khanacademy.org/v/poly-perfect-square Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Finding average rate of change of polynomials | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/neZeuTgEoMA/default.jpg URL=http://www.youtube.com/watch?v=neZeuTgEoMA description=Finding the average rate of change of f(x)=x³-4x over the interval [-2,3]. View more lessons or practice this subject at https://www.khanacademy.org/v/avg-rate-of-change-of-polynomials Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to factoring higher degree monomials | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/Kze7cw30F60/default.jpg URL=http://www.youtube.com/watch?v=Kze7cw30F60 description=Just as we can factor 12 as 2⋅6 or as 3⋅4, we can factor monomials like 6x⁷ as 2x³⋅3x⁴ or as x⁶⋅6x. We can also perform prime factorization on a monomial. View more lessons or practice this subject at https://www.khanacademy.org/v/factor-high-deg-monomials Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Polynomial special products: difference of squares | Algebra 2 | Khan Academy thumb=https://i.ytimg.com/vi/uNweU6I4Icw/default.jpg URL=http://www.youtube.com/watch?v=uNweU6I4Icw description=The difference of squares pattern tells us that (a+b)(a-b)=a²-b². This can be used to expand (x+2)(x-2) as x²-4, but also to expand (3+5x⁴)(3-5x⁴) as 9-25x⁸, or (3y²+2y⁵)(3y²-2y⁵) as 9y⁴-4y¹⁰. View more lessons or practice this subject at https://www.khanacademy.org/v/poly-diff-of-squares Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Khan Stories - Sean thumb=https://i.ytimg.com/vi/fu9Xl9OIcBw/default.jpg URL=http://www.youtube.com/watch?v=fu9Xl9OIcBw description=Seeing your child take control of their own learning and grow to be a leader, both in the classroom and at home? That’s the dream! Shoutout to this Khan Academy superstar from Carmel Elementary, Sean./description type=video name=Scott Cook - Founder and Chairman of the Executive Committee, Intuit | Khan Academy thumb=https://i.ytimg.com/vi/yKrp0sO3PJg/default.jpg URL=http://www.youtube.com/watch?v=yKrp0sO3PJg description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/scott-cook?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/elon-musk?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Entrepreneurship on Khan Academy: Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Entrepreneurship channel: https://www.youtube.com/channel/UCHqkkPYpIb9FotyBtLWU7IQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Clarifying standard form rules thumb=https://i.ytimg.com/vi/PfSsLjnnS60/default.jpg URL=http://www.youtube.com/watch?v=PfSsLjnnS60 description=Clarifying standard form rules/description type=video name=Strategies for eliminating variables in a system examples thumb=https://i.ytimg.com/vi/5jgSW5Jb-Y8/default.jpg URL=http://www.youtube.com/watch?v=5jgSW5Jb-Y8 description=Strategies for eliminating variables in a system examples/description type=video name=Example visually evaluating discrete functions thumb=https://i.ytimg.com/vi/Ddw8u7nNmKs/default.jpg URL=http://www.youtube.com/watch?v=Ddw8u7nNmKs description=Example visually evaluating discrete functions/description type=video name=Examples finding the domain of functions thumb=https://i.ytimg.com/vi/4ZWbeESjv4M/default.jpg URL=http://www.youtube.com/watch?v=4ZWbeESjv4M description=Examples finding the domain of functions/description type=video name=Setting up a system of equations from context example thumb=https://i.ytimg.com/vi/HftghcUXaEg/default.jpg URL=http://www.youtube.com/watch?v=HftghcUXaEg description=Setting up a system of equations from context example/description type=video name=Determining whether values are in domain of function thumb=https://i.ytimg.com/vi/LdbrNNheFg8/default.jpg URL=http://www.youtube.com/watch?v=LdbrNNheFg8 description=Determining whether values are in domain of function/description type=video name=Interpreting points in context of graphs of systems thumb=https://i.ytimg.com/vi/_hW1OzRlx50/default.jpg URL=http://www.youtube.com/watch?v=_hW1OzRlx50 description=Interpreting points in context of graphs of systems/description type=video name=Setting up systems of linear equations example thumb=https://i.ytimg.com/vi/pL4PXSXH-R8/default.jpg URL=http://www.youtube.com/watch?v=pL4PXSXH-R8 description=Setting up systems of linear equations example/description type=video name=Performing a rotation to match figures thumb=https://i.ytimg.com/vi/QWX39H9kKvE/default.jpg URL=http://www.youtube.com/watch?v=QWX39H9kKvE description=More free lessons at: http://www.khanacademy.org/video?v=QWX39H9kKvE/description type=video name=Solving equations and inequalities through substitution example 3 thumb=https://i.ytimg.com/vi/_ghnnjzwCTc/default.jpg URL=http://www.youtube.com/watch?v=_ghnnjzwCTc description=More free lessons at: http://www.khanacademy.org/video?v=_ghnnjzwCTc/description type=video name=Visually determining vertical asymptotes | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/SUrlTlI-oxI/default.jpg URL=http://www.youtube.com/watch?v=SUrlTlI-oxI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/e/limits-at-infinity-where-f-x--is-unbounded?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/limits-at-positive-and-negative-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/visual-vertical-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cybersecurity and crime | Internet 101 | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/5k24We8pED8/default.jpg URL=http://www.youtube.com/watch?v=5k24We8pED8 description=Google Security Princess Parisa Tabriz and Jenny Martin from Symantec introduce the most common types of cybercrime, including viruses, malware, DDOS attacks and phishing scams. This is the last video in our Computer Science subject! Now move on to our first video in Computer Animation: https://www.khanacademy.org/partner-content/pixar/start/introduction/v/pipeline-video Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-encryption-and-public-keys?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IP addresses and DNS | Internet 101 | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/MwxMsaFFycg/default.jpg URL=http://www.youtube.com/watch?v=MwxMsaFFycg description=The co-founder of the Internet Vint Cerf and software engineer Paola Mejia take us through the ins and outs of how networks talk to each other. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-packet-routers-and-reliability?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-wires-cables-and-wifi?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Encryption and public keys | Internet 101 | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/6-JjHa-qLPk/default.jpg URL=http://www.youtube.com/watch?v=6-JjHa-qLPk description=Mia Epner, who works on security for a US national intelligence agency, explains how cryptography allows for the secure transfer of data online. This video explains 256-bit encryption, public and private keys, SSL & TLS and HTTPS. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-cybersecurity-and-crime?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-http-and-html?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Packet, routers, and reliability | Internet 101 | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/aD_yi5VjF78/default.jpg URL=http://www.youtube.com/watch?v=aD_yi5VjF78 description=Spotify engineer Lynn Root and Vint Cerf, Father of the Internet, explain how information on the Internet is broken down into packets, and how to ensure that information is reliably received. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-http-and-html?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-ip-addresses-and-dns?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=HTTP and HTML | Internet 101 | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/1K64fWX5z4U/default.jpg URL=http://www.youtube.com/watch?v=1K64fWX5z4U description=Tumblr founder David Karp and Xbox program manager Jasmine Lawrence give a detailed description of how files and webpages are sent and received using HTTP and HTML. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-encryption-and-public-keys?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-packet-routers-and-reliability?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Wires, cables, and WiFi | Internet 101 | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/iV-YqG70wbQ/default.jpg URL=http://www.youtube.com/watch?v=iV-YqG70wbQ description=Software engineer Tess Winlock introduces how the physical infrastructure of the Internet moves information. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/internet-intro/internet-works-intro/v/the-internet-ip-addresses-and-dns?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/informationtheory/moderninfotheory/v/seti?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a circle | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ZyOhRgnFmIY/default.jpg URL=http://www.youtube.com/watch?v=ZyOhRgnFmIY description=In this example, we solve for the area of a circle when given the diameter. If you recall, the diameter is the length of a line that runs across the circle and through the center. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/e/area_of_a_circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/quadrilateral-overview?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/v/parts-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of indefinite integrals thumb=https://i.ytimg.com/vi/Gn3mJOC1wK8/default.jpg URL=http://www.youtube.com/watch?v=Gn3mJOC1wK8 description=Graphs of indefinite integrals More free lessons at: http://www.khanacademy.org/video?v=Gn3mJOC1wK8/description type=video name=Solving proportions 2 exercise examples | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/qzsR7cChujg/default.jpg URL=http://www.youtube.com/watch?v=qzsR7cChujg description=Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/ratios-core-algebra/e/proportions_2?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/ratios-core-algebra/v/constructing-proportions-to-solve-application-problems?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/ratios-core-algebra/v/find-an-unknown-in-a-proportion?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits at infinity using algebra | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/nDXFgexOM5c/default.jpg URL=http://www.youtube.com/watch?v=nDXFgexOM5c description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/e/limits-at-infinity-where-x-is-unbounded?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/squeeze-sandwich-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/limits-with-two-horizontal-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vertical asymptote of natural log | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/78tnNYNISOc/default.jpg URL=http://www.youtube.com/watch?v=78tnNYNISOc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/e/limits-at-infinity-where-f-x--is-unbounded?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/visual-vertical-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/limits-and-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Education as a force of convergence | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Qu7aVEUc-2w/default.jpg URL=http://www.youtube.com/watch?v=Qu7aVEUc-2w description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/gilded-age-silicon-valley?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/convergence-macro?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=r greater than g but less inequality thumb=https://i.ytimg.com/vi/w6O2Rxub6VE/default.jpg URL=http://www.youtube.com/watch?v=w6O2Rxub6VE description=Description More free lessons at: http://www.khanacademy.org/video?v=w6O2Rxub6VE/description type=video name=Estimating limit numerically | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/t7NvlTgMsO8/default.jpg URL=http://www.youtube.com/watch?v=t7NvlTgMsO8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/e/finding-limits-numerically?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/calculus-estimating-limits-graph/v/one-sided-limits-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/limit-by-analyzing-numerical-data?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving equations and inequalities through substitution example 2 thumb=https://i.ytimg.com/vi/xG_XJ2ywi6M/default.jpg URL=http://www.youtube.com/watch?v=xG_XJ2ywi6M description=More free lessons at: http://www.khanacademy.org/video?v=xG_XJ2ywi6M/description type=video name=Simple model to understand r and g relationship thumb=https://i.ytimg.com/vi/--VYlmbkzNY/default.jpg URL=http://www.youtube.com/watch?v=--VYlmbkzNY description=Description More free lessons at: http://www.khanacademy.org/video?v=--VYlmbkzNY/description type=video name=Statistical and non statistical questions | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/qyYSQDcSNlY/default.jpg URL=http://www.youtube.com/watch?v=qyYSQDcSNlY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/statistical-questions/e/statistical-questions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/statistical-questions/v/statistics-sample-vs-population-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/v/probability-decisions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading tables 1 thumb=https://i.ytimg.com/vi/XxmS_7I6c7Y/default.jpg URL=http://www.youtube.com/watch?v=XxmS_7I6c7Y type=video name=Reading tables 2 thumb=https://i.ytimg.com/vi/4QX-tMRR0TE/default.jpg URL=http://www.youtube.com/watch?v=4QX-tMRR0TE type=video name=Measuring segments thumb=https://i.ytimg.com/vi/y-O_B-wWivQ/default.jpg URL=http://www.youtube.com/watch?v=y-O_B-wWivQ description=More free lessons at: http://www.khanacademy.org/video?v=y-O_B-wWivQ/description type=video name=Drew Houston - CEO and Founder of Dropbox | Entrepreneurship | Khan Academy thumb=https://i.ytimg.com/vi/NZINmtuTSu0/default.jpg URL=http://www.youtube.com/watch?v=NZINmtuTSu0 description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/a-conversation-with-eric-schmidt-and-jonathan-rosenberg?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/sean-osullivan?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Entrepreneurship on Khan Academy: Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Entrepreneurship channel: https://www.youtube.com/channel/UCHqkkPYpIb9FotyBtLWU7IQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monopsony employers and minimum wages thumb=https://i.ytimg.com/vi/FIiVE-mzmqY/default.jpg URL=http://www.youtube.com/watch?v=FIiVE-mzmqY description=Monopsony employers and minimum wages/description type=video name=Frog embryo division thumb=https://i.ytimg.com/vi/kr-L5V0U1Lk/default.jpg URL=http://www.youtube.com/watch?v=kr-L5V0U1Lk description=About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything/description type=video name=Alkane with isopropyl group | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/O9RPGJcAfJk/default.jpg URL=http://www.youtube.com/watch?v=O9RPGJcAfJk description=Naming conventions for alkane chains that have an isopropyl group branch. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/organic-chemistry-naming-examples-2?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/alkane-with-ethyl-groups?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triple bonds cause linear configurations | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/LIFHYUGrYqw/default.jpg URL=http://www.youtube.com/watch?v=LIFHYUGrYqw description=Linear geometry of a triple bond. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties/v/alcohol-properties?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties/v/alcohols?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amoeba phagocytosis of yeast thumb=https://i.ytimg.com/vi/6EhxI7L5_A4/default.jpg URL=http://www.youtube.com/watch?v=6EhxI7L5_A4 description=About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything/description type=video name=Naming two isobutyl groups systematically | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Xw1CMTXQGPY/default.jpg URL=http://www.youtube.com/watch?v=Xw1CMTXQGPY description=Systematic naming conventions for molecules with two isopropyl groups. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/organic-chemistry-naming-examples-5?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/naming-cycloalkane?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CircuitSimplification thumb=https://i.ytimg.com/vi/pUzHSQa6lko/default.jpg URL=http://www.youtube.com/watch?v=pUzHSQa6lko type=video name=Naming alkanes with ethyl groups | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/q_Q9C1Ooofc/default.jpg URL=http://www.youtube.com/watch?v=q_Q9C1Ooofc description=Naming conventions for alkane chains that have an ethyl group branch. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/alkane-with-isopropyl-group?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/common-and-systematic-naming-iso-sec-and-tert-prefixes?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Types of price discrimination thumb=https://i.ytimg.com/vi/tGuvxZkmvP4/default.jpg URL=http://www.youtube.com/watch?v=tGuvxZkmvP4 description=First, second and third degree price discrimination./description type=video name=Monopsony employers and minimum wages thumb=https://i.ytimg.com/vi/jdLRshqvNdY/default.jpg URL=http://www.youtube.com/watch?v=jdLRshqvNdY description=The counter intuitive idea that a minimum wage may actually cause a monopsony employer to hire more./description type=video name=Naming a cycloalkane | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ygXkdSKXQoA/default.jpg URL=http://www.youtube.com/watch?v=ygXkdSKXQoA description=Naming conventions for cycloalkanes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/systematic-naming-of-isobutyl-groups?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/organic-chemistry-naming-examples-3?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Circuit Isomorphism thumb=https://i.ytimg.com/vi/v9aJBeNLBXQ/default.jpg URL=http://www.youtube.com/watch?v=v9aJBeNLBXQ type=video name=Rival and excludable goods thumb=https://i.ytimg.com/vi/pJU028t-7mg/default.jpg URL=http://www.youtube.com/watch?v=pJU028t-7mg description=The difference between private goods, public goods, artificially scarce goods (a.k.a. club goods) and common resources. How these are different based on whether they are rival or excludable goods./description type=video name=Introduction to the semicolon | The Colon and semicolon | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/41XNKfR56OY/default.jpg URL=http://www.youtube.com/watch?v=41XNKfR56OY description=Paige introduces a piece of punctuation called the semicolon; this punctuation can link closely related independent clauses together in a sentence. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-colon-and-semicolon/e/introduction-to-semicolons Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-colon-and-semicolon/v/semicolons-and-complex-lists-the-colon-and-semicolon-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-colon-and-semicolon/v/introduction-to-the-semicolon-the-colon-and-semicolon-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Semicolons and complex lists | The colon and semicolon | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/xWJ3HoQTpgY/default.jpg URL=http://www.youtube.com/watch?v=xWJ3HoQTpgY description=We use semicolons to punctuate a complex list, which is when list items contain commas. For example, “I visited Paris, France; Paris, Texas; and Paris, Illinois.” Paige explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-colon-and-semicolon/e/introduction-to-semicolons Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-colon-and-semicolon/v/introduction-to-the-semicolon-the-colon-and-semicolon-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linking function of the colon | The Colon and semicolon | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/0yZ0ehTLxoo/default.jpg URL=http://www.youtube.com/watch?v=0yZ0ehTLxoo description=KA grammarian Paige introduces an important piece of punctuation that helps link items in a sentence: the colon! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-colon-and-semicolon/e/introduction-to-colons Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-colon-and-semicolon/v/the-colon-as-a-separator-the-colon-and-semicolon-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/D3vHhXMQPmE/default.jpg URL=http://www.youtube.com/watch?v=D3vHhXMQPmE description=Khan Academy has teamed up with College Board, the makers of the SAT, to create free, official SAT practice for all students. Get personalized practice recommendations based on your performance on the PSAT/NMSQT, check out helpful video tutorials, do timed mini-sections to increase your speed, and take full-length tests to get ready for the real thing. Official, personalized practice, for free, for you./description type=video name=Sal and David discuss the new SAT thumb=https://i.ytimg.com/vi/E4zUMO24RVg/default.jpg URL=http://www.youtube.com/watch?v=E4zUMO24RVg description=Sal discusses the new SAT with David Coleman, the CEO of the College Board. Watch the next lesson: https://www.khanacademy.org/test-prep/sat/new-sat-tips-planning/about-the-sat-reading-test/v/about-sat-reading-test-what-to-expect?modal=1 New SAT (starting March 2016) on Khan Academy: Practice all of the skills you’ll need for the new SAT. We also have four official practice exams from College Board. The October 2015 PSAT is in the style of the new SAT. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s New SAT channel: https://www.youtube.com/channel/UCb6Pzsn8oIFv1N8eGem570A?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The colon as a separator | The colon and semicolon | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/3Eis7atPUKU/default.jpg URL=http://www.youtube.com/watch?v=3Eis7atPUKU description=The colon can separate parts of a title, Bible citations, and the hour and minutes in the time of day. Paige explains how! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-colon-and-semicolon/e/introduction-to-colons Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-colon-and-semicolon/v/introduction-to-the-semicolon-the-colon-and-semicolon-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-colon-and-semicolon/v/linking-function-of-the-colon-the-colon-and-semicolon-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Preparing for the AP US History Exam (5/4/2016) thumb=https://i.ytimg.com/vi/H6i50d_bTuo/default.jpg URL=http://www.youtube.com/watch?v=H6i50d_bTuo description=Taking the AP US History exam soon? Sal and our US History expert, Kim Kutz Elliott, will take you through the skills you’ll need to succeed, and they’ll answer your questions live. Check out our AP US History resources: http://khan.co/APHistoryToolkit/description type=video name=Difference between wealth and income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/o5-T52bh-eQ/default.jpg URL=http://www.youtube.com/watch?v=o5-T52bh-eQ description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/what-is-capital?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/piketty-capital?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Is rising inequality necessarily bad thumb=https://i.ytimg.com/vi/r5L-riaIJjI/default.jpg URL=http://www.youtube.com/watch?v=r5L-riaIJjI description=Description More free lessons at: http://www.khanacademy.org/video?v=r5L-riaIJjI/description type=video name=Gilded Age versus Silicon Valley | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/GQBRWjHdir0/default.jpg URL=http://www.youtube.com/watch?v=GQBRWjHdir0 description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/price-return-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/education-equality?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Convergence on macro scale | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/scgd0gh6BFs/default.jpg URL=http://www.youtube.com/watch?v=scgd0gh6BFs description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/inequality-good-or-bad?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/education-equality?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse relationship between capital price and returns | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/gplD1LV-lAA/default.jpg URL=http://www.youtube.com/watch?v=gplD1LV-lAA description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/income-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/gilded-age-silicon-valley?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Indifference curves and marginal rate of substitution | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/7G4BUm7M6MY/default.jpg URL=http://www.youtube.com/watch?v=7G4BUm7M6MY description=We can graph how we value tradeoffs between two goods Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/optimal-point-on-budget-line?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/budget-line?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Capital by Thomas Piketty | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/i78cyClvaeg/default.jpg URL=http://www.youtube.com/watch?v=i78cyClvaeg description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/wealth-vs-income?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial/v/gdp-deflator?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Return on capital and economic growth thumb=https://i.ytimg.com/vi/ir-ISPDjGno/default.jpg URL=http://www.youtube.com/watch?v=ir-ISPDjGno description=Description More free lessons at: http://www.khanacademy.org/video?v=ir-ISPDjGno/description type=video name=Critically looking at data on ROC and economic growth over millenia | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/mkyPZjkdU2Q/default.jpg URL=http://www.youtube.com/watch?v=mkyPZjkdU2Q description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/piketty-spreadsheet-1?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/r-greater-but-less-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gini Coefficient and Lorenz Curve thumb=https://i.ytimg.com/vi/y8y-gaNbe4U/default.jpg URL=http://www.youtube.com/watch?v=y8y-gaNbe4U description=How the Gini Coefficient and Lorenz Curves are used to measure income inequality./description type=video name=Connecting income to capital growth and potential inequality | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/iPROoc_o0p8/default.jpg URL=http://www.youtube.com/watch?v=iPROoc_o0p8 description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/price-return-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/r-greater-than-g?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Review of revenue and cost graphs for a monopoly | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/A_lV-XArVeE/default.jpg URL=http://www.youtube.com/watch?v=A_lV-XArVeE description=Let's review what we've learned about monopolies Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/v/oligopolies-and-monopolisitc-competition?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/optional-calculus-proof-to-show-that-mr-has-twice-slope-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Change in expected future prices and demand | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/7siSvYs84fg/default.jpg URL=http://www.youtube.com/watch?v=7siSvYs84fg description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/changes-in-income-population-or-preferences?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/price-of-related-products-and-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Socially efficient and inefficient outcomes thumb=https://i.ytimg.com/vi/iB-r7Kl3vok/default.jpg URL=http://www.youtube.com/watch?v=iB-r7Kl3vok description=Capturing positive and negative externalities by thinking through marginal social benefit (MSB) and marginal social cost (MSC)./description type=video name=A monopsonistic market for labor | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/vAaW15vwKUU/default.jpg URL=http://www.youtube.com/watch?v=vAaW15vwKUU description=When there is a single buyer of labor this type of market is called a monopsonistic labor market. Learn how this changes the analysis of labor markets and why marginal factor cost is higher than the supply of labor in such markets. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cost minimizing choice of inputs | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/NSCqNsAiHOM/default.jpg URL=http://www.youtube.com/watch?v=NSCqNsAiHOM description=Learn about how firms determine the optimal combination of capital and labor in this video. Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factor markets worked example | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/jiycJ9M2L1o/default.jpg URL=http://www.youtube.com/watch?v=jiycJ9M2L1o description=In this video, learn how to apply the analysis of factor markets to a sample problem. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shifts in demand for labor | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/CuTNp-6FI0k/default.jpg URL=http://www.youtube.com/watch?v=CuTNp-6FI0k description=Changes in the demand for labor affect wage rates. Learn why labor demand changes, and the effect of changes in the demand for labor on labor markets. Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Changes in labor supply | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/16c66XCdSBo/default.jpg URL=http://www.youtube.com/watch?v=16c66XCdSBo description=Changes in the supply of labor have an effect on the wage rate. The supply of labor shifts when there are changes in the population, changes in preferences and social norms, and changes in wage rates and opportunities in other markets. Learn how to show the effects of changes in labor supply on wage rates in this video. Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to labor markets | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Cm69zTuUzMI/default.jpg URL=http://www.youtube.com/watch?v=Cm69zTuUzMI description=Just like goods and services, the factors of production are exchanged in markets. This video focuses on such market -- the market for labor. The supply of labor is based on people's willingness to tradeoff labor for leisure. The demand for labor is based on labor's marginal revenue product. Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Game theory worked example from A P Microeconomics thumb=https://i.ytimg.com/vi/KPZ40sEoLRs/default.jpg URL=http://www.youtube.com/watch?v=KPZ40sEoLRs description=Game theory worked example from A P Microeconomics/description type=video name=Long term economic profit for monopolistic competition | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/QRN2QKHe-tM/default.jpg URL=http://www.youtube.com/watch?v=QRN2QKHe-tM description=Compare and contrast the long run outcomes for monopolistic competition, monopolies, and perfect competition in this video. Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monopolies vs. perfect competition | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/PgDrR2wj_Jc/default.jpg URL=http://www.youtube.com/watch?v=PgDrR2wj_Jc description=Learn about the key differences between the two extremes of competition: monopolies and perfect competitition Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Economic profit for a monopoly | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/PEFEnss--mU/default.jpg URL=http://www.youtube.com/watch?v=PEFEnss--mU description=Learn about how to represent a monopoly market graphically in this video. Topics covered include the profit-maximizing quantity, pricing decisions, and deadweight loss associated with monopolies. Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Microeconomics FRQ on perfect competition | AP(R) Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/BmxuzqDEBpM/default.jpg URL=http://www.youtube.com/watch?v=BmxuzqDEBpM description=Walk through the solution to a free response question (FRQ) like the ones you may see on an AP Microeconomics exam. Topics include why price equals marginal revenue (P=MR) for a perfectly competitive firm, how to draw side-by-side market and firm graphs, and how to find several points of interest in the firm graph. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long run supply when industry costs are increasing or decreasing | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/sN-bhe6UfRs/default.jpg URL=http://www.youtube.com/watch?v=sN-bhe6UfRs description=In some industries, the number of firms in the market has an impact on the costs that firms face. For example, when firms have to compete with each other over resources, firms' costs increase as more firms enter the market. But in other industries, more firms actually lower costs for firms. Learn about the implications of each of these situations on the long-run supply curve in an industry. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long run supply curve in constant cost perfectly competitive markets | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Hzw6_vUPvgg/default.jpg URL=http://www.youtube.com/watch?v=Hzw6_vUPvgg description=A constant cost industry is an industry where each firm's costs aren't impacted by the entry or exit of new firms. Learn about the difference between the short run market supply curve and the long run market supply curve for perfectly competitive firms in constant cost industries in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Economic profit for firms in perfectly competitive markets thumb=https://i.ytimg.com/vi/VVBWn43woUY/default.jpg URL=http://www.youtube.com/watch?v=VVBWn43woUY description=Economic profit for firms in perfectly competitive markets/description type=video name=Long-run economic profit for perfectly competitive firms | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Xx5-O8kDMvU/default.jpg URL=http://www.youtube.com/watch?v=Xx5-O8kDMvU description=A firm in a perfectly competitive market might be able to earn economic profit in the short run, but not in the long run. Learn about the process that brings a firm to normal economic profits in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Logistic growth versus exponential growth | Ecology | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/jfIPQ5_71Mc/default.jpg URL=http://www.youtube.com/watch?v=jfIPQ5_71Mc description=Logistic growth versus exponential growth (for familiarity with AP Biology formula sheet). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/ecology-ap/population-ecology-ap/v/logistic-growth-versus-exponential-growth Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Per capita population growth and exponential growth | Ecology | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/B_qsI4Q1nNk/default.jpg URL=http://www.youtube.com/watch?v=B_qsI4Q1nNk description=Understanding per capita population growth and exponential growth. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/ecology-ap/population-ecology-ap/v/per-capita-population-growth-and-exponential-growth Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Population growth rate based on birth and death rates | Ecology | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/R2yPeLJsPOo/default.jpg URL=http://www.youtube.com/watch?v=R2yPeLJsPOo description=Seeing that the formula for population growth rate based on birth and death rates given in AP Biology exams is actually quite intuitive. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/ecology-ap/population-ecology-ap/v/population-growth-rate-based-on-birth-and-death-rates Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=International Women's Day Livestream: Women In Technology For Good thumb=https://i.ytimg.com/vi/cVQ9mAN4jF0/default.jpg URL=http://www.youtube.com/watch?v=cVQ9mAN4jF0 description=Join us for a *LIVE* fireside chat this International Women's Day! Featuring these rockstars from the Khan Academy team: 💥 VP of Engineering Marta Kosarchyn 💥 VP of Design May-Li Khoe 💥 Interviewed by Senior Communications Manager Rachel E. Cooke. Interested in joining the Khan Academy team? Check out our careers: khanacademy.org/careers/description type=video name=Impact of changes to trophic pyramids | Ecology | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/sV-KQ91Fnck/default.jpg URL=http://www.youtube.com/watch?v=sV-KQ91Fnck description=Impact of changes to trophic pyramids View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/ecology-ap/energy-flow-through-ecosystems/v/impact-of-changes-to-trophic-pyramids Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Cellular evidence of common ancestry | Natural selection | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/BwwElHbjTGo/default.jpg URL=http://www.youtube.com/watch?v=BwwElHbjTGo description=What cellular evidence do we have to construct evolutionary trees and believe that all life on Earth shares a common ancestry? View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/natural-selection/common-ancestry-and-continuing-evolution/v/cellular-evidence-of-common-ancestry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Artificial selection and domestication | Natural selection | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/hFjGQXcwYIk/default.jpg URL=http://www.youtube.com/watch?v=hFjGQXcwYIk description=How humans have shaped plants and animals through artificial selection and domestication. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/natural-selection/artificial-selection/v/artificial-selection-and-domestication Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Perfect competition | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/B_49lQxwMaM/default.jpg URL=http://www.youtube.com/watch?v=B_49lQxwMaM description=Perfect competition, sometimes called pure competition, is a theoretical market structure in which there are many buyers and sellers selling homogeneous goods, no barriers to entry, and perfect information. In this video, explore the precise definition of perfect competition, and how these assumptions are captured on graphs. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Stories: Mr. Kile's class thumb=https://i.ytimg.com/vi/zYfcBj26d1U/default.jpg URL=http://www.youtube.com/watch?v=zYfcBj26d1U description=From studying video games to teaching math! Mr. Kile shares why he became a teacher. 👨🏻‍🏫😊💛 Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=What Reagan policies are still debated today? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/pgRknobBvr0/default.jpg URL=http://www.youtube.com/watch?v=pgRknobBvr0 description=John Dickerson discusses how debates over Ronald Reagan's policies have continued today. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How have Reagan's policies affected the government? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/gTRa6OYhi1g/default.jpg URL=http://www.youtube.com/watch?v=gTRa6OYhi1g description=John Dickerson tells us how Reagan's policies still affect the United States again. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How did Reagan's policies affect the economy? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/kr6zA_78nys/default.jpg URL=http://www.youtube.com/watch?v=kr6zA_78nys description=John Dickerson discusses Ronald Reagan's policies and explains how those policies affected the government and economy. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Why was Reagan's presidency so significant? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/mtBqK9dB-EA/default.jpg URL=http://www.youtube.com/watch?v=mtBqK9dB-EA description=John Dickerson explains why Ronald Reagan's presidency was so significant. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Why is the Speaker second in succession? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/dLokWU0JiAs/default.jpg URL=http://www.youtube.com/watch?v=dLokWU0JiAs description=John Dickerson introduces us to the 25th Amendment and explains why the Speaker of the House is second in succession to the President after the Vice President. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=What kind of levers does the Speaker have? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/id4e3FQDPzk/default.jpg URL=http://www.youtube.com/watch?v=id4e3FQDPzk description=John Dickerson discusses what powers the Speaker of the House has and how they can use that power to influence policy. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How has the position of Speaker changed over time? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/t1ShvSU63LE/default.jpg URL=http://www.youtube.com/watch?v=t1ShvSU63LE description=John Dickerson discusses how the position of Speaker of the House has changed over time. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Who is the Speaker of the House? | US Government and Civics | Khan Academy thumb=https://i.ytimg.com/vi/Yn81qh73wZ0/default.jpg URL=http://www.youtube.com/watch?v=Yn81qh73wZ0 description=John Dickerson tells us who is the Speaker of the House and lets us know how they are chosen. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Khan Stories: Christian thumb=https://i.ytimg.com/vi/5siktaX0Ih0/default.jpg URL=http://www.youtube.com/watch?v=5siktaX0Ih0 description=Ever dream of becoming an astronaut? 👨🏽‍🚀🚀 Eighth grader Christian isn’t just dreaming about it, he’s planting the seeds of his future by growing the same plants as NASA’s International Space Station! 🛰🌱🤩 Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Four factors of production | AP Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/-IvwoqPh1_I/default.jpg URL=http://www.youtube.com/watch?v=-IvwoqPh1_I description=Economists traditionally divide the factors of production into four categories: land, labor, capital, and entrepreneurship. Learn how each of these are defined in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope and intercepts from tables thumb=https://i.ytimg.com/vi/g98OfN5cWy4/default.jpg URL=http://www.youtube.com/watch?v=g98OfN5cWy4 description=Slope and intercepts from tables/description type=video name=Slope and y intercept from equation thumb=https://i.ytimg.com/vi/Z65mz__8DQ0/default.jpg URL=http://www.youtube.com/watch?v=Z65mz__8DQ0 description=Slope and y intercept from equation/description type=video name=Linear equation word problems thumb=https://i.ytimg.com/vi/w6R8rywmgek/default.jpg URL=http://www.youtube.com/watch?v=w6R8rywmgek description=Linear equation word problems/description type=video name=Constructing linear equation from context thumb=https://i.ytimg.com/vi/hBpI9IfmMKg/default.jpg URL=http://www.youtube.com/watch?v=hBpI9IfmMKg description=Constructing linear equation from context/description type=video name=Khan Stories: Anjali thumb=https://i.ytimg.com/vi/m19E4fFcUx8/default.jpg URL=http://www.youtube.com/watch?v=m19E4fFcUx8 description=From facing the fear of asking questions to taking a leadership role in her school, Anjali is using Khan Academy to change her life. She says “People think that a girl can’t study; she has to do household work. I want to change the world, so I started with myself.” 🙋🏽‍♀️ Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Khan Stories: Sal's high school math teacher thumb=https://i.ytimg.com/vi/GYDGRAgp7cA/default.jpg URL=http://www.youtube.com/watch?v=GYDGRAgp7cA description=What was the founder of Khan Academy like as a high school student? We caught up with Sal's math teacher, Mr. Hernandez, to find out! Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Khan Stories: Mrs. Hengels' class thumb=https://i.ytimg.com/vi/g4_8VAWLR80/default.jpg URL=http://www.youtube.com/watch?v=g4_8VAWLR80 description=When your students start their own after-school math club, you know you’re doing something right! 😄Here’s how teacher Gillian Hengels inspired a love of learning in her middle school class. 💙 Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Introducing: Khan Academy Kids! thumb=https://i.ytimg.com/vi/c9WZchczdXY/default.jpg URL=http://www.youtube.com/watch?v=c9WZchczdXY description=Khan Academy Kids is a free, fun educational program that will inspire a lifetime of learning and discovery for young children! Download here: Google Play: http://khan.co/khankidsGPYT App Store: http://khan.co/khankidsIOS Amazon: http://khan.co/khankidsAm Kids ages 2-7 engage with thousands of interactive activities aligned with the Head Start Learning Outcomes Framework and Common Core Standards. The curriculum includes reading and literacy, language, math, social-emotional development, executive functioning skills, physical development, and creative expression. Learn more: https://www.khanacademy.org/kids?utm_source=youtube&utm_medium=desc Subscribe to our newly created Khan Academy Kids channel for more videos! https://www.youtube.com/channel/UC2ri4rEb8abnNwXvTjg5ARw/description type=video name=Khan Stories: Isai Baltezar's class thumb=https://i.ytimg.com/vi/kiFTOP3X3Ds/default.jpg URL=http://www.youtube.com/watch?v=kiFTOP3X3Ds description=Who runs the world? Kids! According to teacher Isai Baltezar, every student has the potential to be a future leader. 🌟 Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Rounding to the nearest 10 thumb=https://i.ytimg.com/vi/tEt-B8v4Wtk/default.jpg URL=http://www.youtube.com/watch?v=tEt-B8v4Wtk description=Rounding to the nearest 10/description type=video name=Three digit subtraction word problems thumb=https://i.ytimg.com/vi/4TcA1l01s9c/default.jpg URL=http://www.youtube.com/watch?v=4TcA1l01s9c description=Three digit subtraction word problems/description type=video name=Estimating adding large numbers by rounding thumb=https://i.ytimg.com/vi/CZuYBGBClG0/default.jpg URL=http://www.youtube.com/watch?v=CZuYBGBClG0 description=Estimating adding large numbers by rounding/description type=video name=Three digit addition word problems thumb=https://i.ytimg.com/vi/W3zji0qh658/default.jpg URL=http://www.youtube.com/watch?v=W3zji0qh658 description=Three digit addition word problems/description type=video name=Missing numbers in three digit subtraction thumb=https://i.ytimg.com/vi/0Chsg4ns_FI/default.jpg URL=http://www.youtube.com/watch?v=0Chsg4ns_FI description=Missing numbers in three digit subtraction/description type=video name=Subtraction by breaking apart thumb=https://i.ytimg.com/vi/He4cjB2ectc/default.jpg URL=http://www.youtube.com/watch?v=He4cjB2ectc description=Subtraction by breaking apart/description type=video name=Methods for subracting 3 digit numbers thumb=https://i.ytimg.com/vi/ZIiZkmaehsU/default.jpg URL=http://www.youtube.com/watch?v=ZIiZkmaehsU description=Methods for subracting 3 digit numbers/description type=video name=Rounding to the nearest 100 thumb=https://i.ytimg.com/vi/_H64VpzpxR4/default.jpg URL=http://www.youtube.com/watch?v=_H64VpzpxR4 description=Rounding to the nearest 100/description type=video name=Khan Stories: Brandon Bauer thumb=https://i.ytimg.com/vi/cOD1TVBMzpw/default.jpg URL=http://www.youtube.com/watch?v=cOD1TVBMzpw description=Water balloon fights, Harlem shakes, and dance parties?! It’s just your average Friday afternoon in Mr. Bauer's class! 🤩🎉See how this fourth-grade teacher’s classroom is celebrating the learning experience. Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Writing: Sentence Boundaries — Harder Example | Writing & Language | SAT | Khan Academy thumb=https://i.ytimg.com/vi/fpt4WW3EUxY/default.jpg URL=http://www.youtube.com/watch?v=fpt4WW3EUxY description=Watch Sal work through an SAT Writing: Sentence Boundaries question. Watch the next lesson: https://www.khanacademy.org/test-prep/sat/sat-reading-writing-practice/new-sat-writing-grammar/v/subordination-coordination-basic Missed the previous lesson? https://www.khanacademy.org/test-prep/sat/sat-reading-writing-practice/new-sat-writing-grammar/v/sentence-boundaries-basic SAT on Khan Academy: Practice all of the skills you’ll need for the new SAT. We also have four official practice exams from College Board. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s SAT channel: https://www.youtube.com/channel/UCb6Pzsn8oIFv1N8eGem570A Subscribe to KhanAcademy: https://www.youtube.com/user/khanacademy//description type=video name=Khan Stories: Claudia thumb=https://i.ytimg.com/vi/qV1ga8A9ots/default.jpg URL=http://www.youtube.com/watch?v=qV1ga8A9ots description=When Claudia’s parents brought her and her family to South Florida from the Azores Islands, they equipped her with just about all the life skills she needed. When it came time to study for the SAT, however, she turned to Khan Academy’s free test prep to get her the support she needed. Now she’s a freshman at MIT, and has big plans for her education journey. Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Khan Stories: Shrey thumb=https://i.ytimg.com/vi/899A7cHuc4M/default.jpg URL=http://www.youtube.com/watch?v=899A7cHuc4M description=Shrey’s incredible journey from New Delhi, India to Harvard University didn’t come easy. He struggled with chemistry, and found himself with gaps in his learning. Khan Academy allowed him to go at his own pace and fill in those gaps. Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Types of competition and marginal revenue | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Jj4hQK-GuXo/default.jpg URL=http://www.youtube.com/watch?v=Jj4hQK-GuXo description=In imperfect competition firms have some control over the price they charge, so the individual firm's demand curve is not horizontal. Learn how that fact also changes the marginal revenue curve in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal revenue and marginal cost in imperfect competition | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/A-uVHlqEiyE/default.jpg URL=http://www.youtube.com/watch?v=A-uVHlqEiyE description=This video discusses the differences in a graph of marginal cost and marginal revenue for an imperfectly competitive firm compared to a perfectly competitive firm. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Stories: Jordan thumb=https://i.ytimg.com/vi/lFb_lFD19WM/default.jpg URL=http://www.youtube.com/watch?v=lFb_lFD19WM description=From the island to the Ivy League—with a lot of hard work and a little help from Khan Academy, Jordan achieved his dream of becoming a first-generation college student at Harvard University. Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today. http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Profit maximization worked example Free Response Question | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/WUJwZYTfroI/default.jpg URL=http://www.youtube.com/watch?v=WUJwZYTfroI description=Work through a free response question about profit maximization in this video. Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from both a college level or an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perfect and imperfect competition thumb=https://i.ytimg.com/vi/FZBc1wM8a8M/default.jpg URL=http://www.youtube.com/watch?v=FZBc1wM8a8M description=Perfect competition, monopolies, oligopolies, monopsony and monopolistic competition./description type=video name=Shutting down or exiting industry based on price | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/aPiZloqtlnc/default.jpg URL=http://www.youtube.com/watch?v=aPiZloqtlnc description=Whether a firm decides to produce in the short run depends on the relationship between price and average variable cost, but whether a firm decides to produce in the long run depends on the relationship between price and average total cost. Learn about the shut-down rule and the industry exit rule in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Profit maximization | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/SON0BtLMUHw/default.jpg URL=http://www.youtube.com/watch?v=SON0BtLMUHw description=Learn about the profit maximization rule, and how to implement this rule in a graph of a perfectly competitive firm, in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Stories: Brooke Hogan thumb=https://i.ytimg.com/vi/kq0O3pxTYCY/default.jpg URL=http://www.youtube.com/watch?v=kq0O3pxTYCY description=Middle school teacher Brooke Hogan makes teaching personal by getting to know every student at an individual level. She says it’s important to “recognize them as a person, not just as my student." 💛 We're humbled to empower teachers like Brooke Hogan with personalized practice, so every student can succeed! Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today: http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Substitution and income effects and the Law of Demand | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/_12_k6ciacU/default.jpg URL=http://www.youtube.com/watch?v=_12_k6ciacU description=The law of demand states that quantity demanded increases when price decreases, but why? Two reasons why the demand curve slopes downward are the substitution effect and the income effect. Learn about both in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tariff and imports worked example | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Qq5-909rWgw/default.jpg URL=http://www.youtube.com/watch?v=Qq5-909rWgw description=Walk through the solution to a question on the effect of tariffs from the 2012 AP(R) Microeconomics exam. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trade and tariffs | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/3pSysspeCxY/default.jpg URL=http://www.youtube.com/watch?v=3pSysspeCxY description=When governments impose restrictions on international trade, this affects the domestic price of the good and reduces total surplus. One such imposition is a tariff (a tax on imported or exported goods and services). See how a tariff impacts price, consumer surplus, producer surplus, tax revenue, and deadweight loss in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Stories: Alejandro thumb=https://i.ytimg.com/vi/6I7PgFdsA0o/default.jpg URL=http://www.youtube.com/watch?v=6I7PgFdsA0o description=From struggling with math 😣 to aspiring toward a computer science degree! 💻Meet Alejandro, a student in Mexico City using Khan Academy to take his education to the next level. 🇲🇽💚 Do you have a story about Khan Academy you’d like to share? Visit https://www.khanacademy.org/stories Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students around the world by donating today: http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc&campaign=khanstories/description type=video name=Mutation as a source of variation | Gene expression and regulation | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/LZCE-4q5f9c/default.jpg URL=http://www.youtube.com/watch?v=LZCE-4q5f9c description=Mutation in genotype as a source of variation in phenotype View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/gene-expression-and-regulation/mutations-ap/v/mutation-as-a-source-of-variation Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Minimum efficient scale and market concentration | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/lqAKI6remoQ/default.jpg URL=http://www.youtube.com/watch?v=lqAKI6remoQ description=Minimum efficient scale (MES) is the quantity at which a firm’s long-run average total cost curve stops falling, and the size of a firm’s MES relative to the size of the market has a strong influence on market structure—a large MES is associated with more concentrated markets. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Economies and diseconomies of scale | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/4bJs6bKjPPA/default.jpg URL=http://www.youtube.com/watch?v=4bJs6bKjPPA description=Economies of scale exist when long-run average total cost decreases as output increases, diseconomies of scale occur when long-run average total cost increases as output increases and constant returns to scale occur when costs do not change as output increases. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long run average total cost curve | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/aKpnaKROoYA/default.jpg URL=http://www.youtube.com/watch?v=aKpnaKROoYA description=The long-run average total cost curve describes how average costs vary when all inputs can be adjusted. It envelopes all of the possible short-run average total cost curves. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How costs change when fixed and variable costs change | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/dbedc5rrwhQ/default.jpg URL=http://www.youtube.com/watch?v=dbedc5rrwhQ description=This video expands on previous videos to explore how changes in production technology, changes in fixed costs, and changes in variable costs affect the marginal product of labor, marginal costs, average variable costs, average fixed costs, and average total cost. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphical impact of cost changes on marginal and average costs thumb=https://i.ytimg.com/vi/A1_PT1aHVLY/default.jpg URL=http://www.youtube.com/watch?v=A1_PT1aHVLY description=In this video, see how changes in costs affect cost curves. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal cost, average variable cost, and average total cost | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/mW6Cwpfb5CI/default.jpg URL=http://www.youtube.com/watch?v=mW6Cwpfb5CI description=In this video we calculate the costs of producing a good, including fixed costs, variable costs, marginal cost, average variable cost, average fixed cost, and average total cost. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of MC, AVC and ATC thumb=https://i.ytimg.com/vi/vh7SjS-t1wA/default.jpg URL=http://www.youtube.com/watch?v=vh7SjS-t1wA description=This video shows how to graph marginal cost, average variable cost, and average total cost. The relationship between these curves at important points is also explored. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is mastery learning? thumb=https://i.ytimg.com/vi/zRuiDvz8p5o/default.jpg URL=http://www.youtube.com/watch?v=zRuiDvz8p5o description=Have you ever tried to learn something… and you just couldn’t? 😣 It’s not you. It’s just the traditional approach to learning. But what if there were a different way to learn? One that empowers you to really understand any subject? 📚 Well, there is, and it’s called #masterylearning. 🎓 Now you have the tools to make mastery learning possible. Are you ready to learn anything? ✨ Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Make a difference in the lives of students by donating today: http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Give a child a great education. We need your help! thumb=https://i.ytimg.com/vi/sPd-SmL2Ui8/default.jpg URL=http://www.youtube.com/watch?v=sPd-SmL2Ui8 description=Because you know education is key to opportunity and every child has a right to learn. Khan Academy is world-class academic content. Available in 190 countries. 100% Free. This holiday season give a gift that will change a life: https://www.khanacademy.org/donate?utm_source=youtube/description type=video name=Total product, marginal product and average product | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/8fm9FjDV0iA/default.jpg URL=http://www.youtube.com/watch?v=8fm9FjDV0iA description=The short-run production function describes the relationship between output and inputs when at least one input is fixed, such as out output varies based on the amount of labor used. We can use this production function to find the total product of labor, the marginal product of labor, and the average product of labor. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content./description type=video name=Income elasticity of demand | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/RDcf5L6o0mI/default.jpg URL=http://www.youtube.com/watch?v=RDcf5L6o0mI description=Elasticities can be calculated for more than just price elasticity of supply or price elasticity of demand. For example, income elasticity of demand as a measure of how quantity demanded changes in response to income. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to production functions | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/4kFLOoA5l4s/default.jpg URL=http://www.youtube.com/watch?v=4kFLOoA5l4s description=Production functions describe how output is determined by various inputs. The short run is defined as the period of time in which at least one input is fixed. Anything longer than that is considered the long run. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Changing equilibria from trade | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/7adFZOA7Qfg/default.jpg URL=http://www.youtube.com/watch?v=7adFZOA7Qfg description=When an economy goes from autarky to trade, this affects consumer and producer surplus in both countries. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Price elasticity of supply determinants | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/kBUC6iPijtw/default.jpg URL=http://www.youtube.com/watch?v=kBUC6iPijtw description=Explore what makes supply more or less elastic in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to price elasticity of supply | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/wi1x3sYHU6I/default.jpg URL=http://www.youtube.com/watch?v=wi1x3sYHU6I description=We can calculate the price elasticity of supply to gauge how sensitive percent changes in quantity supplied are to percent changes in price. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Live! In Khanversation with Barbara Oakley thumb=https://i.ytimg.com/vi/lR5Z0OnzE0g/default.jpg URL=http://www.youtube.com/watch?v=lR5Z0OnzE0g description=Join Sal Khan as he welcomes author and professor Barbara Oakley to the Khan Academy offices to discuss education and mastery learning./description type=video name=Determinants of price elasticity of demand | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/KEhy6SwW__I/default.jpg URL=http://www.youtube.com/watch?v=KEhy6SwW__I description=Substitutes, timeframe, income share, luxury vs. necessity and narrowness of market impact price elasticity of demand. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinants of elasticity example | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/H4CkAid4_J4/default.jpg URL=http://www.youtube.com/watch?v=H4CkAid4_J4 description=Walk through the logic of determining what kind of good has the most elastic demand in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to price elasticity of demand | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/FBWJYH8DZ1g/default.jpg URL=http://www.youtube.com/watch?v=FBWJYH8DZ1g description=Economists use the concept of price elasticity of demand to describe how the quantity demanded changes in response to a price change. In this video, explore a simple way to calculate the price elasticity of demand, how to interpret that calculation, and how price elasticity of demand varies along a demand curve. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Market demand as the sum of individual demand | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/dGjPguqHBXE/default.jpg URL=http://www.youtube.com/watch?v=dGjPguqHBXE description=The market demand is derived from the summation of individual demand curves (also known as a demand schedule). In this video, you can visualize why this is true. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Substitution and income effects and the Law of Demand thumb=https://i.ytimg.com/vi/xGL5mbOvTmQ/default.jpg URL=http://www.youtube.com/watch?v=xGL5mbOvTmQ description=How the substitution effect, income effect and decreasing marginal utility drive a downward sloping demand curve./description type=video name=Markets and property rights | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/PEG9OQCo2Ls/default.jpg URL=http://www.youtube.com/watch?v=PEG9OQCo2Ls description=Exclusivity, enforceability, and transferability of property rights are essential for a properly functioning market. In this video, take a deeper dive into the role that property rights play in well-functioning markets. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Continuity and change in the postwar era | Period 8: 1945-1980 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/cTHqWtIz4lI/default.jpg URL=http://www.youtube.com/watch?v=cTHqWtIz4lI description=How much did the events of the tumultuous postwar era reshape American national identity? Kim Kutz Elliott discusses the extent to which developments like the Cold War, the Civil Rights Movement, Vietnam, and student protests of the 1960s changed core beliefs around citizenship, cultural values, and the proper US role in the world. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-8/apush-the-1970s/v/continuity-and-change-in-the-postwar-era?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Shaping American national identity from 1890 to 1945 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/uaef1AR4xP4/default.jpg URL=http://www.youtube.com/watch?v=uaef1AR4xP4 description=Which events of the first half of the twentieth century had the greatest impact on shaping national identity between 1890 and 1945? In this video, Kim Kutz Elliott compares the effect of major developments like the Great Depression and World II on American core beliefs about individualism, culture, and the proper US role in the world. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-7/apush-us-wwii/v/shaping-american-national-identity-from-1890-to-1945?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Continuity and change in the Gilded Age | Period 6: 1865-1898 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/bGXSvj-clXo/default.jpg URL=http://www.youtube.com/watch?v=bGXSvj-clXo description=How much change did industrialization really bring during the Gilded Age? In this video, Kim Kutz Elliott discusses the impact of industrialization on work, migration patterns, and culture. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-6/apush-gilded-age/v/continuity-and-change-in-the-gilded-age?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Eighth Amendment | The National Constitution Center | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/L83jiEPYnAs/default.jpg URL=http://www.youtube.com/watch?v=L83jiEPYnAs description=A deep dive into the Eighth Amendment, which protects citizens from excessive fines and cruel and unusual punishment. In this video, Kim discusses the Eighth Amendment with scholars John Bessler and John Stinneford. To read more about the Eighth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/amendments-balancing-individual-freedom-with-public-order-and-safety/v/the-eighth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Developing an American colonial identity | Period 2: 1607-1754 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/YxiSd6HW75M/default.jpg URL=http://www.youtube.com/watch?v=YxiSd6HW75M description=How British were the British colonies in North America in 1754? In this video, Kim Kutz Elliott discusses how the British colonies participated in political, social, cultural, and economic exchanges with Great Britain that encouraged both stronger bonds with Britain and resistance to Britain’s control. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/civil-war-era/reconstruction/v/comparing-the-effects-of-the-civil-war-on-american-national-identity?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Phenotype plasticity | Heredity | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/Mh3QXbVU6Eo/default.jpg URL=http://www.youtube.com/watch?v=Mh3QXbVU6Eo description=Understanding how the same genotype can still result in variation of phenotype based on environment. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/heredity/environmental-effects-on-phenotype/v/phenotype-plasticity Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Why do midterm congressional elections matter? | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/kofT_ctT-JY/default.jpg URL=http://www.youtube.com/watch?v=kofT_ctT-JY description=John Dickerson introduces the importance of midterm elections. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson/why-it-matters/v/why-do-midterm-congressional-elections-matter?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Why does your vote matter? | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/6Vf_mmb0ED4/default.jpg URL=http://www.youtube.com/watch?v=6Vf_mmb0ED4 description=John Dickerson gives the lowdown on why your vote matters in every election: from current and future policy, to state ballot questions, and more. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson/why-it-matters/v/why-does-your-vote-matter?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How does voter turnout in midterms compare to presidential elections? | Khan Academy thumb=https://i.ytimg.com/vi/Of8A37PGgpE/default.jpg URL=http://www.youtube.com/watch?v=Of8A37PGgpE description=John Dickerson discusses differences in turnout trends between midterm and presidential election years. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson/why-it-matters/v/how-does-voter-turnout-in-midterms-compare-to-presidential-elections?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How have congressional elections changed over time? | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/lSSFMVeFc2Q/default.jpg URL=http://www.youtube.com/watch?v=lSSFMVeFc2Q description=John Dickerson tells us about how congressional elections have changed, becoming more closely associated with the incumbent president's performance in office. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson/what-has-changed/v/how-have-congressional-elections-changed-over-time?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Does the president's party usually gain or lose seats at the midterm elections? | Khan Academy thumb=https://i.ytimg.com/vi/oYQvxRrknZE/default.jpg URL=http://www.youtube.com/watch?v=oYQvxRrknZE description=John Dickerson discusses how the sitting president's party typically performs in midterm election years. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson/why-it-matters/v/does-the-presidents-party-usually-gain-or-lose-seats-at-the-midterm-elections?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Activation and inhibition of signal transduction pathways | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/zYX5a65LrXs/default.jpg URL=http://www.youtube.com/watch?v=zYX5a65LrXs description=Using the signal transduction pathway for the cholera toxin to understand activation and inhibition. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cell-communication-and-cell-cycle/changes-in-signal-transduction-pathways/v/activation-and-inhibition-of-signal-transduction-pathways Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=World War I: Homefront | Period 7: 1890-1945 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/WaWuLLuBaVo/default.jpg URL=http://www.youtube.com/watch?v=WaWuLLuBaVo description=World War I led to many changes at home for the United States. In this video, Kim Kutz Elliott discusses how, as international migration slowed considerably, the availability of wartime factory jobs led half a million African Americans to leave the South and move to northern and western cities for work. But the US government also stifled dissent during World War I with restrictions on freedom of speech and antiwar protest. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-7/apush-us-in-wwi/v/world-war-i-homefront?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Progressives | Period 7: 1890-1945 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/zGhsN9NmJh8/default.jpg URL=http://www.youtube.com/watch?v=zGhsN9NmJh8 description=The early twentieth century saw a huge number of Progressive reform movements, which aimed to improve labor, sanitation, conservation, voting rights, and morality. With so many different avenues of reform, how can we define who the Progressives really were? In this video, Kim Kutz Elliott compares the goals and effects of the Progressive reform movement. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-7/apush-age-of-empire/v/the-progressives?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=1920s urbanization and immigration | Period 7: 1890-1945 | AP US History | Khan Academy; thumb=https://i.ytimg.com/vi/EnwqpenGGcE/default.jpg URL=http://www.youtube.com/watch?v=EnwqpenGGcE description=By the 1920s, a majority of the US population lived in cities rather than in rural areas. In this video, Kim Kutz Elliott explores the economic opportunities cities offered to women, migrants, and immigrants, as well as the passage of new immigration restrictions. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-7/apush-1920s-america/v/1920s-urbanization-and-immigration?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Westward expansion: social and cultural development | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/rq3ZswJXWqE/default.jpg URL=http://www.youtube.com/watch?v=rq3ZswJXWqE description=After the Civil War, westward expansion continued to increase, as migrants moved to the west in search of economic opportunities. In this video, Kim Kutz Elliott discusses the social and cultural effects of increased migration to the west, including expansion's impact on indigenous people and the environment. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-6/apush-american-west/v/westward-expansion-social-and-cultural-development?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparing the effects of the Civil War on American national identity | US history | Khan Academy thumb=https://i.ytimg.com/vi/5DbDqxUfIXw/default.jpg URL=http://www.youtube.com/watch?v=5DbDqxUfIXw description=The Civil War is often considered the most transformative event in US history. But how much did it really change American national identity? In this video, Kim Kutz Elliott compares the relative significance of the effects of the Civil War on American values. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/civil-war-era/reconstruction/v/comparing-the-effects-of-the-civil-war-on-american-national-identity?utm_source=youtube&utm_medium=desc&utm_campaign=ushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Slavery in the British colonies | Period 2: 1607-1754 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/4GQOgcI3x_Q/default.jpg URL=http://www.youtube.com/watch?v=4GQOgcI3x_Q description=In all of the British colonies in North America and the Caribbean, slavery was a staple of the economy during the period from 1607-1754. In this video, Kim Kutz Elliott discusses the ties between the environment and slavery, the rise of increasingly restrictive slave codes, and the overt and covert methods by which enslaved people resisted the dehumanizing nature of slavery. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-2/apush-early-chesapeake-and-southern-colonies/v/slavery-in-the-british-colonies?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Gideon v Wainwright thumb=https://i.ytimg.com/vi/HWGW7MMxS2o/default.jpg URL=http://www.youtube.com/watch?v=HWGW7MMxS2o description=Supreme Court case that reinforced that the 6th Amendment's right to counsel applied to the states./description type=video name=Presidential oversight of the bureaucracy thumb=https://i.ytimg.com/vi/-KAp6sQcXBA/default.jpg URL=http://www.youtube.com/watch?v=-KAp6sQcXBA description=Understanding the powers and limitations of the President as they try to manage the bureaucracy that sit under the Executive Branch./description type=video name=Gupta Dynasty | World History | Khan Academy thumb=https://i.ytimg.com/vi/8KrFLUkauxE/default.jpg URL=http://www.youtube.com/watch?v=8KrFLUkauxE description=India experienced a golden age during the Gupta Dynasty; find out why and how! Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/early-indian-empires/v/chandragupta-ashoka-and-the-maurya-empire World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal and conditional distributions | Analyzing categorical data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Iw9fEYIpPMA/default.jpg URL=http://www.youtube.com/watch?v=Iw9fEYIpPMA description=Marginal and conditional distributions from a two-way table (or joint distribution). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/distributions-two-way-tables/v/marginal-distribution-and-conditional-distribution?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Continuity at a point | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/3KMqU5j7irw/default.jpg URL=http://www.youtube.com/watch?v=3KMqU5j7irw description=Saying a function f is continuous when x=c is the same as saying that the function's two-side limit at x=c exists and is equal to f(c). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/continuity-at-a-point-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/connecting-limits-and-graphical-behavior?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternating series test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/UsMom3yNsX8/default.jpg URL=http://www.youtube.com/watch?v=UsMom3yNsX8 description=When a series alternates (plus, minus, plus, minus,...) there's a fairly simple way to determine whether it converges or diverges: see if the terms of the series approach 0. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/e/alternating-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/conditional-and-absolute-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/ratio-test-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits of combined functions: piecewise functions | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Xo49w4DDEfQ/default.jpg URL=http://www.youtube.com/watch?v=Xo49w4DDEfQ description=Even when the limits of two functions at some point do not exist, the limit of their sum or product might still exist. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-5a/v/limits-of-combined-functions-piecewise?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Manifest Destiny | Period 5: 1844-1877 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/BH7URONYaHU/default.jpg URL=http://www.youtube.com/watch?v=BH7URONYaHU description=What were the causes and effects of westward expansion between 1844 and 1877? Kim Kutz Elliott discusses how economic opportunities, government support, and the idea of 'manifest destiny' brought migrants to the western United States. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-5/apush-sectional-tension-1850s/v/manifest-destiny?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Water potential example | Cell structure and function | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/BsnJDe4Tl-4/default.jpg URL=http://www.youtube.com/watch?v=BsnJDe4Tl-4 description=Example calculating the water potential of potato squares based on placing them in various concentrations of sucrose solutions. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cell-structure-and-function/mechanisms-of-transport-tonicity-and-osmoregulation/v/water-potential-example Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Molecular variation | Cellular energetics | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/RYz3d1meQQc/default.jpg URL=http://www.youtube.com/watch?v=RYz3d1meQQc description=How molecular variation in cells helps organisms adapt in different environments and stages of development. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cellular-energetics/molecular-fitness/v/molecular-variation Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=ATP synthase | Cellular energetics | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/rg8gpzFLQ-E/default.jpg URL=http://www.youtube.com/watch?v=rg8gpzFLQ-E description=ATP synthase and its role in mitochondria during respiration and chloroplasts during photosynthesis. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cellular-energetics/cellular-respiration-ap/v/atp-synthase Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Photosynthesis evolution | Cellular energetics | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/RnHCOBDSSfA/default.jpg URL=http://www.youtube.com/watch?v=RnHCOBDSSfA description=How and where photosynthesis evolved in the ancestors of cyanobacteria (along with a discussion of endosymbiosis). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cellular-energetics/photosynthesis/v/photosynthesis-evolution Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Immigration and migration in the Gilded Age | Period 6: 1865-1898 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/6GfVdrfM3-g/default.jpg URL=http://www.youtube.com/watch?v=6GfVdrfM3-g description=American cities grew rapidly during the Gilded Age. What brought people to the cities and what were their experiences like? In this video, Kim Kutz Elliott explores continuity and change in migration patterns from 1865-1898. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-6/apush-gilded-age/v/immigration-and-migration-in-the-gilded-age?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sectional conflict: Regional differences | Period 5: 1844-1877 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/H-EDcke6n9E/default.jpg URL=http://www.youtube.com/watch?v=H-EDcke6n9E description=How did regional differences between the North and South related to slavery lead to tensions in the years leading up to the Civil War? Kim Kutz Elliott compares the economic and ideological differences that drove the sections apart. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/ap-us-history/period-5/apush-sectional-tension-1850s/v/sectional-conflict-regional-differences?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Enzyme reaction velocity and pH | Cellular energetics | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/LtGCHzKAf8w/default.jpg URL=http://www.youtube.com/watch?v=LtGCHzKAf8w description=Exploring the relationship between pH and enzyme activity. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cellular-energetics/environmental-impacts-on-enzyme-function/v/enzyme-reaction-velocity-and-ph Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Increased politicization of the Supreme Court | AP US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/EoUpiipuP2M/default.jpg URL=http://www.youtube.com/watch?v=EoUpiipuP2M description=John Dickerson shares his views about the importance of the Supreme Court today, when it makes more decisions that affect Americans' lives than ever. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/checks-on-the-judicial-branch/v/increased-politicization-of-the-supreme-court?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Property rights in a market system | Basic Economic Concepts | AP(R) Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/AJy7pWK0W8g/default.jpg URL=http://www.youtube.com/watch?v=AJy7pWK0W8g description=Market systems only function well when property rights are well defined. Take a deeper dive into the role of property rights in a market system in this video. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to utility | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/UnX8RPB5vFM/default.jpg URL=http://www.youtube.com/watch?v=UnX8RPB5vFM description=In this video, the economic concepts of utility and marginal utility are introduced./description type=video name=Accounting profit vs economic profit | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/kQRFfAlj9CE/default.jpg URL=http://www.youtube.com/watch?v=kQRFfAlj9CE description=A rational agent considers both accounting profit and economic profit. In this video, see an example highlighting the difference between accounting profit and economic profit from a business and a discussion of explicit and implicit costs of operating a business. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimal decision-making and opportunity costs | AP(R) Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/5-03899n678/default.jpg URL=http://www.youtube.com/watch?v=5-03899n678 description=A rational agent considers all costs, including explicit and implicit costs, when deciding whether or not to undertake an action. In this video, learn about how opportunity costs represent the cost of the next best alternative. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal benefit AP free response question | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/fP6X2TzQdjA/default.jpg URL=http://www.youtube.com/watch?v=fP6X2TzQdjA description=In this video, walk through the solution to one of the questions on the free response section of the 2016 AP Microeconomics exam. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal utllity free response example | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/CxAXc9vL2rI/default.jpg URL=http://www.youtube.com/watch?v=CxAXc9vL2rI description=In this video, walk through the solution to a question on the 2012 AP Microeconomics exam applying the concepts of marginal utility and utility maximization. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scarcity and rivalry | Basic Economic Concepts | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/uVA1-m8SVvA/default.jpg URL=http://www.youtube.com/watch?v=uVA1-m8SVvA description=This video discusses two closely related ideas in economics: scarcity and rivalry. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/introduction-to-the-economic-way-of-thinking-macro/v/economic-models Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/introduction-to-the-economic-way-of-thinking-macro/v/scarcity AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to one-dimensional motion with calculus | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/MFrpe4Wm8-g/default.jpg URL=http://www.youtube.com/watch?v=MFrpe4Wm8-g description=Straight-line motion can be modeled by giving position as a function of time. Calculus helps us learn about velocity, speed, and acceleration, all from our knowledge about the change in position. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-2/v/one-dimensional-motion-with-calculus?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The media and partisanship | Political partecipation | AP US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/nxOi0EbNPtY/default.jpg URL=http://www.youtube.com/watch?v=nxOi0EbNPtY description=John Dickerson shares his views on how changes in media have influenced the national discourse over time with Sal. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/changing-media/v/the-media-and-partisanship?utm_source=youtube&utm_medium=desc&utm_campaign=apusgovernmentandpolitics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Changes to the role of the presidency | AP US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/cZSsAKaklBM/default.jpg URL=http://www.youtube.com/watch?v=cZSsAKaklBM description=John Dickerson shares his views on how the presidency has changed over time with Sal. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/expansion-of-presidential-power/v/changes-to-the-role-of-the-presidency?utm_source=youtube&utm_medium=desc&utm_campaign=apusgovernmentandpolitics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Why study US history, government, and civics? | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/3axHf16S0Us/default.jpg URL=http://www.youtube.com/watch?v=3axHf16S0Us description=John Dickerson shares his views about the importance of studying US history, government, and civics with Sal. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson/why-it-matters/v/why-study-us-history-government-and-civics?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sal Khan & John Dickerson: introduction | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/yK90u3DQIK0/default.jpg URL=http://www.youtube.com/watch?v=yK90u3DQIK0 description=Sal Khan and John Dickerson kick off a series of videos focused on how current events relate to US history and civics. John Dickerson is co-host of CBS This Morning. He was previously CBS News' Chief Washington Correspondent, Political Director and anchor of Face The Nation. Dickerson is also a contributor to Slate's Political Gabfest and to The Atlantic. During the 2016 presidential campaign, Dickerson moderated CBS News' two presidential debates. Prior to CBS, Dickerson was Slate Magazine's Chief Political correspondent and covered politics for twelve years for Time magazine. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/government-civics-with-cbss-john-dickerson/why-it-matters/v/sal-khan-john-dickerson-introduction?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting change in speed from velocity-time graph | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/pp08hpkTN-o/default.jpg URL=http://www.youtube.com/watch?v=pp08hpkTN-o description=Worked example thinking about speed from velocity-time graph. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-2/v/interpreting-speed-from-velocity-time Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Developing an American identity, 1800-1848 | US history | Khan Academy thumb=https://i.ytimg.com/vi/VQ-xQ9B-0ss/default.jpg URL=http://www.youtube.com/watch?v=VQ-xQ9B-0ss description=From 1800 to 1848, the United States grew tremendously as a country, adding new territory and building national connections of business and transportation. But just twelve years later, the Civil War erupted! In this period, was the United States developing a unified national identity or a divided regional identity? Kim Kutz Elliott examines the evidence. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/the-early-republic/age-of-jackson/v/developing-an-american-identity-1800-1848?utm_source=youtube&utm_medium=desc&utm_campaign=ushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Regional attitudes about slavery, 1754-1800 | US history | Khan Academy thumb=https://i.ytimg.com/vi/SFhd8kcjaOw/default.jpg URL=http://www.youtube.com/watch?v=SFhd8kcjaOw description=How and why did the Northern and Southern parts of the United States begin to develop distinctive regional attitudes about the institution of slavery? In this video, Kim Kutz Elliott discusses how the economic systems and ideas of each region evolved over time, leading to two very different societies. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/road-to-revolution/creating-a-nation/v/regional-attitudes-about-slavery-1754-1800?utm_source=youtube&utm_medium=desc&utm_campaign=ushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting direction of motion from position-time graph | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/PNBJQ2OtS_4/default.jpg URL=http://www.youtube.com/watch?v=PNBJQ2OtS_4 description=Given the position-time graph of a linear motion, we can interpret whether the moving object moves forward or backward (or right or left, depending on how we define the motion!). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-2/v/interpreting-direction-from-position-time?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting direction of motion from velocity-time graph | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/lsufpQEVHZ8/default.jpg URL=http://www.youtube.com/watch?v=lsufpQEVHZ8 description=Given the velocity-time graph of a linear motion, we can interpret whether the moving object moves forward or backward (or right or left, depending on how we define the motion!). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-2/v/interpreting-direction-from-velocity-time?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Motion problems with derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/b4w0xmuOiQo/default.jpg URL=http://www.youtube.com/watch?v=b4w0xmuOiQo description=Finding (and interpreting) the velocity and acceleration given position as a function of time. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-2/v/motion-problems-with-derivatives?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Volume with cross sections: squares and rectangles (no graph) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/_y6zKNoWiKI/default.jpg URL=http://www.youtube.com/watch?v=_y6zKNoWiKI description=Expressing the volume of a 3-D figure as a definite integral (where the area of cross sections are functions of x). The problem doesn't come with a graph but that doesn't mean we shouldn't sketch one! View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-of-integration-new/ab-8-7/v/volume-from-cross-sections-without-graph-shown?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Volume with cross sections perpendicular to y-axis | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/aYT0Gm-v5T8/default.jpg URL=http://www.youtube.com/watch?v=aYT0Gm-v5T8 description=Worked example expressing the volume of a figure based on cross sections perpendicular to the y-axis as a definite integral (integrating with respect to y). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-of-integration-new/ab-8-7/v/volume-with-cross-sections-perpendicular-to-y-axis?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Learnstorm Classroom Celebrations thumb=https://i.ytimg.com/vi/RxKZOhS72Cw/default.jpg URL=http://www.youtube.com/watch?v=RxKZOhS72Cw description=Students all over the world celebrating success in Learnstorm./description type=video name=Endosymbiosis theory | Cell structure and function | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/eCWwKrJyKxA/default.jpg URL=http://www.youtube.com/watch?v=eCWwKrJyKxA description=The theory of how mitochondria, chloroplasts and other membrane-bound organelles in eukaryotic cell likely arose from a symbiosis between aerobic prokaryotes and host anaerobic eukaryotic ancestors. Developed by Lynn Margulis. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cell-structure-and-function/cell-compartmentalization-and-its-origins/v/endosymbiosis-theory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Water potential worked example thumb=https://i.ytimg.com/vi/4V-49LxkJJA/default.jpg URL=http://www.youtube.com/watch?v=4V-49LxkJJA description=Example determining the water potential of zucchini squash cubes by placing them in various concentrations on sucrose solution./description type=video name=Water potential thumb=https://i.ytimg.com/vi/O_eFNOz5WtY/default.jpg URL=http://www.youtube.com/watch?v=O_eFNOz5WtY description=Water potential (psi) as being made up of solute potential and pressure potential. Discussion of the solute potential equation./description type=video name=Social consequences of revolutionary ideals | US history | Khan Academy thumb=https://i.ytimg.com/vi/crNShYTL0Ss/default.jpg URL=http://www.youtube.com/watch?v=crNShYTL0Ss description=The rhetoric of the American Revolution, which emphasized that "all men are created equal," led many to question existing social norms in the years after the Revolution. In this video, Kim Kutz Elliott examines how the ideals expressed by the Founders influenced the expansion of voting rights, the gradual abolition of slavery in the North, and a new role for women through republican motherhood. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/road-to-revolution/creating-a-nation/v/social-consequences-of-revolutionary-ideals?utm_source=youtube&utm_medium=desc&utm_campaign=ushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Ninth Amendment | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/7PlTwiRM9ig/default.jpg URL=http://www.youtube.com/watch?v=7PlTwiRM9ig description=The Ninth Amendment states that "The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people." But how do we know what those other rights are? In this video, Kim Kutz Elliott discusses the Ninth Amendment with scholars Kurt Lash and Jeffrey Rosen. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more about constitutional law, visit the National Constitution Center’s website: https://constitutioncenter.org On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-the-national-constitution-center/us-gov-the-bill-of-rights-ncc/v/the-ninth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sal Khan's thoughts on mastery learning thumb=https://i.ytimg.com/vi/lGaQWIV8PZ4/default.jpg URL=http://www.youtube.com/watch?v=lGaQWIV8PZ4 description=The wayback machine Sal talks about his early years in education, and when he first heard about the concept of mastery learning. In mastery learning, students are not pushed ahead in lockstep, which can cause frustrating “Swiss-cheese” gaps. They learn at their own pace while teachers track student progress, identify gaps, and give one-on-one attention. Mastery learning on Khan Academy is free. Khan Academy is a 501(c)(3) nonprofit organization that relies on support from people like you. Help make a difference in the lives of students by donating today: http://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=The Seventh Amendment | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/uf41Qj_1HQo/default.jpg URL=http://www.youtube.com/watch?v=uf41Qj_1HQo description=The Seventh Amendment protects jury trials in civil cases. In this video, Kim Kutz Elliott discusses the Seventh Amendment with scholars Renee Lettow Lerner and Suja Thomas. To read more about constitutional law, visit the National Constitution Center’s website: https://constitutioncenter.org On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-the-national-constitution-center/us-gov-the-bill-of-rights-ncc/v/the-seventh-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm 2018 Growth Mindset Livestream thumb=https://i.ytimg.com/vi/xQAhN0qEbhU/default.jpg URL=http://www.youtube.com/watch?v=xQAhN0qEbhU description=Do you wish that your students could overcome frustration or deal with mistakes in a healthy, positive way? Have you wanted to implement growth mindset in your classroom but need a few pointers? Find out how you can foster growth mindset in your classroom this school year with LearnStorm growth mindset activities. Three experts in the growth mindset research field will explain what it’s all about: - Dave Paunesku: Founding director of PERTS, a center at Stanford University that helps educators apply insights from the behavioral sciences to create safe and engaging learning environments to foster student motivation and resilience. We partnered with Dave and PERTS for the development of the LearnStorm growth mindset activities. - Annie Brock: A former teacher and author of The Growth Mindset Coach, a month-by-month guide to implementing growth mindset in your classroom. - Samala Robinson: A current fourth-grade teacher in Independence, Missouri who has developed creative ways to foster positive learning mindsets. Khan Academy hosted this free growth mindset livestream on September 20 at 6:00 p.m. EST/3:00 p.m. PDT./description type=video name=LearnStorm Growth Mindset Livestream thumb=https://i.ytimg.com/vi/41ofb4qIjww/default.jpg URL=http://www.youtube.com/watch?v=41ofb4qIjww description=Join us for a free Growth Mindset Livestream on September 20 to find out how you can build student confidence and classroom motivation this school year!/description type=video name=Surface area to volume ratio of cells | Cell structure and function | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/uu9eHX6Tu8Q/default.jpg URL=http://www.youtube.com/watch?v=uu9eHX6Tu8Q description=Seeing that the surface area to volume ratio of cells generally decreases as cells get larger, making the exchange of resources, waster and heat more and more difficult. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/cell-structure-and-function/cell-size/v/surface-area-to-volume-ratio-of-cells Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Elemental building blocks of biological molecules | Chemistry of life | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/vnsrBHkYTq4/default.jpg URL=http://www.youtube.com/watch?v=vnsrBHkYTq4 description=Common elemental building blocks of biological molecules: Carbon, Oxygen, Hydrogen, Nitrogen and Phosphorus View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/chemistry-of-life/elements-of-life/v/elemental-building-blocks-of-biological-molecules Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Importance of water for life | Chemistry of life | AP Biology | Khan Academy thumb=https://i.ytimg.com/vi/fxlMABxU7zU/default.jpg URL=http://www.youtube.com/watch?v=fxlMABxU7zU description=Discussion of the properties of water that make it essential to life as we know it: polarity, "universal" solvent, high heat capacity, high heat of vaporization, cohesion, adhesion and lower density when frozen. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-biology/chemistry-of-life/structure-of-water-and-hydrogen-bonding/v/importance-of-water-for-life Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Comparing European and Native American cultures | US history | Khan Academy thumb=https://i.ytimg.com/vi/AGiWyQRZqpo/default.jpg URL=http://www.youtube.com/watch?v=AGiWyQRZqpo description=In this video, Kim Kutz Elliott discusses how mutual misunderstandings between Europeans and Native Americans often defined the early years of interaction and trade as each group sought to make sense of the other. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/precontact-and-early-colonial-era/spanish-colonization/v/comparing-european-and-native-american-cultures?utm_source=youtube&utm_medium=desc&utm_campaign=ushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Unadopted amendments to the Bill of Rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/lTNwCTDokrU/default.jpg URL=http://www.youtube.com/watch?v=lTNwCTDokrU description=The original draft of the Bill of Rights had twelve amendments, not ten! What were those unadopted amendments? In this video, Kim Kutz Elliott discusses the unadopted amendments with scholar Fergus Bordewich. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more about constitutional law, visit the National Constitution Center’s website: https://constitutioncenter.org On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-the-national-constitution-center/us-gov-the-bill-of-rights-ncc/v/unadopted-amendments?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Dred Scott v. Sandford | The Civil War era (1844-1877) | US history | Khan Academy thumb=https://i.ytimg.com/vi/sWuXMjrv4aA/default.jpg URL=http://www.youtube.com/watch?v=sWuXMjrv4aA description=The 1857 Supreme Court case Dred Scott v. Sandford inflamed sectional tensions over slavery and propelled the United States toward civil war. In this video, Kim Kutz Elliott discusses the case with scholars Christopher Bracey and Timothy Huebner. To learn more about US History, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-history To read more about constitutional law, visit the National Constitution Center’s website: https://constitutioncenter.org On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/civil-war-era/sectional-tension-1850s/e/uncle-toms-cabin-and-the-kansas-nebraska-act?utm_source=youtube&utm_medium=desc&utm_campaign=ushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked Phillips curves free response question thumb=https://i.ytimg.com/vi/80jDOAgBDcQ/default.jpg URL=http://www.youtube.com/watch?v=80jDOAgBDcQ description=Thinking about the LRPC and SRPC. How the SRPC shifts when producing below full employment output./description type=video name=The Fifth Amendment - takings clause | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/H8HxEC67BrM/default.jpg URL=http://www.youtube.com/watch?v=H8HxEC67BrM description=The takings clause of the Fifth Amendment prevents the government from taking private property for public use without just compensation. But what counts as private property, public use, or just compensation? In this video, Kim Kutz Elliott discusses the takings clause with scholars Richard Epstein and Eduard Peñalver. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more about constitutional law, visit the National Constitution Center’s website: https://constitutioncenter.org On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-the-national-constitution-center/us-gov-the-bill-of-rights-ncc/v/the-fifth-amendment-takings-clause?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Third Amendment | The National Constitution Center | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/R13q7uHlwmY/default.jpg URL=http://www.youtube.com/watch?v=R13q7uHlwmY description=The Third Amendment to the US Constitution prohibits the government from quartering soldiers in the homes of citizens. Based on a despised practice of the British government before the American Revolution, this ban on quartering seemed necessary at the time of the Framing, but does it have any relevance to our lives today? In this video, Kim Kutz Elliott discusses the Third Amendment's past, present and future with constitutional scholars Glenn Reynolds and Jay Wexler. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more about constitutional law, visit the National Constitution Center’s website: https://constitutioncenter.org On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/us-gov-the-national-constitution-center/us-gov-the-bill-of-rights-ncc/v/the-third-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Limits of combined functions | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/AhnJtTI_DMM/default.jpg URL=http://www.youtube.com/watch?v=AhnJtTI_DMM description=Sal solves a few examples where the graphs of two functions are given and we're asked to find the limit of an expression that combines the two functions. For example, the limit at 0 of the product of the functions. To learn more or practice this subject, go to https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-5a/v/limits-of-combined-functions Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Changes in the AD-AS Model and the Phillips curve | APⓇ Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Sp322oNOQLA/default.jpg URL=http://www.youtube.com/watch?v=Sp322oNOQLA description=In this video, the long-run Phillips curve is introduced and the links between changes in the AD-AS model and changes in the Phillips curve model are explained. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/the-phillips-curve/e/the-phillips-curve Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/money-growth-and-inflation/v/quantity-theory-of-money-ap-macroeconomics-khan-academy Missed the previous lesson? Watch here:https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/the-phillips-curve/v/phillips-curve AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked free response question on unemployment | APⓇ Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ncW-JilPxjA/default.jpg URL=http://www.youtube.com/watch?v=ncW-JilPxjA description=This video walks through part of question 3 on the 2018 AP Macroeconomics exam. Learn how to solve problems about calculating the unemployment rate, calculating the labor force participation rate, and the relationship between unemployment and the production possibilities curve in this video. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/unemployment/e/calculating-the-unemployment-rate Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/price-indices-and-inflation/v/introduction-to-inflation Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/unemployment/v/natural-cyclical-structural-and-frictional-unemployment-rates-khan-academy AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying the constant of proportionality from equation | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/rj7DweP8e58/default.jpg URL=http://www.youtube.com/watch?v=rj7DweP8e58 description=Understanding what a constant of proportionality is and how to identify it in an equation. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/7th-constant-of-proportionality/e/constant-of-proportionality-from-equations?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Impact of mass on orbital speed | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Fw8qsuZNzH4/default.jpg URL=http://www.youtube.com/watch?v=Fw8qsuZNzH4 description=Explanatory and response variables. Random sampling and random assignment (including block design). Placebos and blind/double-blind experiments. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/gathering-data-ap/statistics-experiments/v/intro-experiment-design?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Can causality be established from this study? | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/yWva9DtV0Rk/default.jpg URL=http://www.youtube.com/watch?v=yWva9DtV0Rk description=Thinking about whether a causal relationship can be established or if there are confounding variables. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/gathering-data-ap/statistics-experiments/v/causality-from-study?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Invalid conclusions from studies example | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/xSvvjdZjgl8/default.jpg URL=http://www.youtube.com/watch?v=xSvvjdZjgl8 description=Example understanding when a conclusion about causality can be made from a study. Discussion of experimental and observational studies. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/gathering-data-ap/statistics-experiments/v/invalid-conclusions-studies-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm is BACK! thumb=https://i.ytimg.com/vi/Fi3JtlGkzCI/default.jpg URL=http://www.youtube.com/watch?v=Fi3JtlGkzCI description=📢👩‍🏫 Calling all teachers! 🚀🚀 #LearnStorm is BACK! 🚀🚀 LearnStorm is Khan Academy's free, in-school program that motivates classrooms and builds students’ confidence. Sign up now for a chance to win one of 500 class kits! 🎁 https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=Generalizabilty of survey results example | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/2FXwGI_debU/default.jpg URL=http://www.youtube.com/watch?v=2FXwGI_debU description=Practice identifying to which population the results of a survey can be generalized. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/gathering-data-ap/sampling-observational-studies/v/generalizabilty-of-survey-results-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ideology and social policy | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/xx0Y2NPpoTk/default.jpg URL=http://www.youtube.com/watch?v=xx0Y2NPpoTk description=How conservatives, liberals and libertarians think about government intervention for social issues. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/american-political-beliefs-and-behaviors/ideology-and-social-policy/v/ideology-and-social-policy?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to limits at infinity | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/eh_ATp0hbB0/default.jpg URL=http://www.youtube.com/watch?v=eh_ATp0hbB0 description=Introduction to the idea and notion of limits at infinity (and negative infinity). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-15/v/introduction-to-limits-at-infinity?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to infinite limits | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WS-76fFFICY/default.jpg URL=http://www.youtube.com/watch?v=WS-76fFFICY description=Introducing the notation of infinite limits. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-14/v/introduction-to-infinite-limits?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Unbounded limits | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/56qtGRCd8bE/default.jpg URL=http://www.youtube.com/watch?v=56qtGRCd8bE description=Introducing the notion of a limit that is unbounded. These limits don't exist in the strict sense, but we can still say something about them that makes clear how they behave. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-3/v/unbounded-limits?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Evolution through variation and natural selection thumb=https://i.ytimg.com/vi/L-dXNWlRZDw/default.jpg URL=http://www.youtube.com/watch?v=L-dXNWlRZDw description=Thinking through evolution, variation and natural selection and misconceptions people often have./description type=video name=Impact of mass on orbital speed | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/_bBzcwnrLgs/default.jpg URL=http://www.youtube.com/watch?v=_bBzcwnrLgs description=Example question exploring how mass impacts orbital speed. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/newtons-law-of-gravitation-ap/v/impact-of-mass-on-orbital-speed?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics1 Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Factorial and counting seat arrangements | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/eoxbgUIYhHo/default.jpg URL=http://www.youtube.com/watch?v=eoxbgUIYhHo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutation-formula?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/bringing-the-set-operations-together?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Invertible and noninvertibles matrices thumb=https://i.ytimg.com/vi/kR9rO-6Y2Zk/default.jpg URL=http://www.youtube.com/watch?v=kR9rO-6Y2Zk description=Recognizing when a matrix is invertible or not./description type=video name=Determinant when multiplying a matrix by a constant thumb=https://i.ytimg.com/vi/Wauch76Oxz8/default.jpg URL=http://www.youtube.com/watch?v=Wauch76Oxz8 description=The determinant when a row is multiplied by a scalar. Created by Sal Khan./description type=video name=LearnStorm and Ceiba College Prep thumb=https://i.ytimg.com/vi/bfwKeMf2vgI/default.jpg URL=http://www.youtube.com/watch?v=bfwKeMf2vgI description=LearnStorm is Khan Academy's free, back-to-school program that gives teachers a powerful way to jump start the school year. By combining growth–mindset activities and lesson-aligned practice, LearnStorm drives mastery of core academic skills, motivates classrooms, and builds students’ confidence. Sign-ups open on August 13 and the programs kicks-off on September 4. Learn more at https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc Special thank you to the Ceiba College Prep students, faculty, and staff for sharing their LearnStorm story./description type=video name=LearnStorm at Wewahitchka High School thumb=https://i.ytimg.com/vi/SSnC00qwD1g/default.jpg URL=http://www.youtube.com/watch?v=SSnC00qwD1g description=LearnStorm is Khan Academy's free, back-to-school program that gives teachers a powerful way to jump start the school year. By combining growth–mindset activities and lesson-aligned practice, LearnStorm drives mastery of core academic skills, motivates classrooms, and builds students’ confidence. Sign-ups open on August 13 and the programs kicks-off on September 4. Learn more at https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc Special thank you to the Wewahitchka High School students, faculty, and staff for sharing their LearnStorm story./description type=video name=LearnStorm at Pine Hill Middle School thumb=https://i.ytimg.com/vi/E8G_gF409XU/default.jpg URL=http://www.youtube.com/watch?v=E8G_gF409XU description=LearnStorm is Khan Academy's free, back-to-school program that gives teachers a powerful way to jump start the school year. By combining growth–mindset activities and lesson-aligned practice, LearnStorm drives mastery of core academic skills, motivates classrooms, and builds students’ confidence. Sign-ups open on August 13 and the programs kicks-off on September 4. Learn more at https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc Special thank you to the Pine Hill Middle school students, faculty, and staff for sharing their LearnStorm story./description type=video name=LearnStorm Growth Mindset: Dave Paunesku introduces growth mindset thumb=https://i.ytimg.com/vi/cSf9Tnk19Iw/default.jpg URL=http://www.youtube.com/watch?v=cSf9Tnk19Iw description=Listen to Dave Paunesku, the executive director of PERTS, talk about the growth mindset. PERTS is a center at Stanford University that expands on the research done by Carol Dweck on growth mindset. The Growth Mindset Curriculum, created in partnership with PERTS, is available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Dave Paunesku on teacher modeling of growth mindset thumb=https://i.ytimg.com/vi/gLWWXZTSoq4/default.jpg URL=http://www.youtube.com/watch?v=gLWWXZTSoq4 description=Listen to Dave Paunesku, the executive director of PERTS, talk about the importance of a teacher modeling growth mindset and how a teacher can effectively model to influence their students. PERTS is a center at Stanford University that expands on the research done by Carol Dweck on growth mindset. The Growth Mindset Curriculum, created in partnership with PERTS, is available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Dave Paunesku on student effort thumb=https://i.ytimg.com/vi/deXi6xMGrcU/default.jpg URL=http://www.youtube.com/watch?v=deXi6xMGrcU description=Listen to Dave Paunesku, the executive director of PERTS, talk about addressing student effort in an effective way. PERTS is a center at Stanford University that expands on the research done by Carol Dweck on growth mindset. The Growth Mindset Curriculum, created in partnership with PERTS, is available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Dave Paunesku on student self-reflection thumb=https://i.ytimg.com/vi/yZjydd_VR4U/default.jpg URL=http://www.youtube.com/watch?v=yZjydd_VR4U description=Listen to Dave Paunesku, the executive director of PERTS, talk about how self-reflection is integral in developing a growth mindset. PERTS is a center at Stanford University that expands on the research done by Carol Dweck on growth mindset. The Growth Mindset Curriculum, created in partnership with PERTS, is available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: How to write a SMART goal thumb=https://i.ytimg.com/vi/U4IU-y9-J8Q/default.jpg URL=http://www.youtube.com/watch?v=U4IU-y9-J8Q description=Explore growth mindset with Thinky Pinky as he takes you through how to write a SMART goal. This video is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: The Truth About Your Brain thumb=https://i.ytimg.com/vi/rf8FX2sI3gU/default.jpg URL=http://www.youtube.com/watch?v=rf8FX2sI3gU description=Explore growth mindset with Thinky Pinky as he takes you through a exploration of what happens in your brain when it learns. This video is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Dr. Michael Merzenich on growing your brain thumb=https://i.ytimg.com/vi/sJyHYuPxG0Y/default.jpg URL=http://www.youtube.com/watch?v=sJyHYuPxG0Y description=Listen to Dr. Michael Merzenich, a professor and researcher on neuroplasticity talk about how you can grow your brain. He mentions how academics can actually help with seemingly unrelated activities like sports. Dr. Merzenich's talk is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Khan Academy's economics content creator on learning strategies thumb=https://i.ytimg.com/vi/1wWbXeTM8ys/default.jpg URL=http://www.youtube.com/watch?v=1wWbXeTM8ys description=Listen to Melanie Fox, Khan Academy's economics content creator talk about how she got through one of her hardest classes in college. Melanie's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Ceiba Prep Students on mistakes thumb=https://i.ytimg.com/vi/kCRMHGtDd9Y/default.jpg URL=http://www.youtube.com/watch?v=kCRMHGtDd9Y description=Listen to two students from Ceiba Prep Middle School in Watsonville, CA talk about how mistakes can be helpful in our learning journey. These stories are part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Khan Academy's test prep content creator on mistakes thumb=https://i.ytimg.com/vi/jxkluy6a-EM/default.jpg URL=http://www.youtube.com/watch?v=jxkluy6a-EM description=Listen to Dave Travis, Khan Academy's test prep content creator talk about why mistakes are important and how they can be good in your learning journey. Dave's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Khan Academy's math content creator on learning strategies thumb=https://i.ytimg.com/vi/LnTrciBI-Hs/default.jpg URL=http://www.youtube.com/watch?v=LnTrciBI-Hs description=Listen to Jeff Dodds, Khan Academy's math content creator talk about his struggles when math started to get difficult and how he overcame these struggles through working with others. Jeff's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=Growth Mindset: Khan Academy's Director of U.S. Content on academic belonging thumb=https://i.ytimg.com/vi/0QTs_SOCV_E/default.jpg URL=http://www.youtube.com/watch?v=0QTs_SOCV_E description=Listen to Brian Johnsrud, Khan Academy's Director of U.S. content, talk about his struggles in college to find academic belonging especially as a first-generation college student. Brian's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Ceiba Prep Students on overcoming frustration thumb=https://i.ytimg.com/vi/GByZ0fYBd3k/default.jpg URL=http://www.youtube.com/watch?v=GByZ0fYBd3k description=Listen to two students from Ceiba Prep Middle School in Watsonville, CA talk about what "Keep going, keep growing" means to them. These stories are part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Khan Academy's humanities content creator on social belonging thumb=https://i.ytimg.com/vi/0dXmzDprnO4/default.jpg URL=http://www.youtube.com/watch?v=0dXmzDprnO4 description=Listen to Kim Kutz Elliott, Khan Academy's humanities content creator talk about her struggles in college to find social belonging. She talks about how she eventually got over the "imposter syndrome" and became successful socially. Kim's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Khan Academy's science content creator on learning strategies thumb=https://i.ytimg.com/vi/AquwEh-HALc/default.jpg URL=http://www.youtube.com/watch?v=AquwEh-HALc description=Listen to Yuki Jung, Khan Academy's science content creator talk about some learning strategies she found helpful in school and in college. Yuki's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Audio engineer on her career journey thumb=https://i.ytimg.com/vi/I_5Yjpi3eDM/default.jpg URL=http://www.youtube.com/watch?v=I_5Yjpi3eDM description=Listen to Kelly Kramarik, share about her journey of discovering the audio engineer profession and how she created her own major in college to go down the career path she wanted. Kelly's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Animation Director on setting goals thumb=https://i.ytimg.com/vi/7v_EKen6TWY/default.jpg URL=http://www.youtube.com/watch?v=7v_EKen6TWY description=Listen to Lisa LaBracio, an Animation Director, talk about her career goals and how she worked towards achieving them. Lisa's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Dancer on his career journey thumb=https://i.ytimg.com/vi/4Nl47fKLj_Q/default.jpg URL=http://www.youtube.com/watch?v=4Nl47fKLj_Q description=Listen to Michael Novak, a dancer, who shares about how he overcame physical injury, financial hardships and much more to make his dream of becoming a dancer come true. Michael's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Film director on her career journey thumb=https://i.ytimg.com/vi/kyf_8_-rvQg/default.jpg URL=http://www.youtube.com/watch?v=kyf_8_-rvQg description=Listen to Olivia Abtahi, a film director, talk about the importance of seeing everything as a learning opportunity and how hard work got her to where she is now. Olivia's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Teacher leader on his career journey thumb=https://i.ytimg.com/vi/v9qWq-8rDkQ/default.jpg URL=http://www.youtube.com/watch?v=v9qWq-8rDkQ description=Listen to Paul Clifton, a teacher leader, talk about why he wanted to become a teacher and how he is passionate about becoming a role model as a black male in the middle school classroom. Paul's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Salon owner on her career journey thumb=https://i.ytimg.com/vi/jV30SdcyMVM/default.jpg URL=http://www.youtube.com/watch?v=jV30SdcyMVM description=Listen to Sam DiVine, a Salon Owner, talk about her journey to discovering that the beauty industry could be a great career path and how she found her own path within the industry. Sam's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=LearnStorm Growth Mindset: Chef De Cuisine on his career journey thumb=https://i.ytimg.com/vi/dTQdaX4V0cI/default.jpg URL=http://www.youtube.com/watch?v=dTQdaX4V0cI description=Listen to Zia Sheikh, a Chef de Cuisine, talk about the twists and turns of his career journey as he developed his sense of purpose and rediscovered his passion for cooking. Zia's story is part of the Growth Mindset Curriculum available with LearnStorm, a back-to-school program aimed at helping students start the school year strong. The growth mindset curriculum helps students take their own life experiences apply their learnings in the face of frustration, making mistakes and learning new things. For more information, visit https://learnstorm.khanacademy.org/?utm_source=youtube&utm_medium=desc/description type=video name=Khan Academy Classrooms has a new mastery system that makes personalized learning easier than ever! thumb=https://i.ytimg.com/vi/JV2sKtbOKsg/default.jpg URL=http://www.youtube.com/watch?v=JV2sKtbOKsg description=Teachers, welcome back to school! We’re excited to share why Khan Academy Classrooms is our most effective and engaging product to date. Introducing a whole new mastery-based system How do you easily support students at different skill levels? Khan Academy now has a simple and powerful solution for you—personalized, student-paced practice within our new mastery system. - Our personalized learning system enables each student to be working on an exercise that fits their individual needs. - Students get instant feedback, and stay motivated by earning Mastery points when they complete problems, quizzes, unit tests or course challenges. - Teachers receive detailed data about each student’s performance when they complete practice. Teachers may also help with prioritizing specific skills by assigning them to their students. Head over to our website to sign up now! https://www.khanacademy.org?utm_source=youtube&utm_medium=desc/description type=video name=Technology and presidential communication | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/lbQCx-AwPsY/default.jpg URL=http://www.youtube.com/watch?v=lbQCx-AwPsY description=How have new forms of communication technology, like social media, affected the president's power to communicate with the public? Kim Kutz Elliott explores the impact of technology on presidential communication. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/presidential-communication/v/technology-and-presidential-communication?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Voting rights | Political participation | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/sQcwHXgmR8M/default.jpg URL=http://www.youtube.com/watch?v=sQcwHXgmR8M description=An overview of voting rights in the Constitution and in federal legislation. Kim Kutz Elliott explores how voting rights have changed over time. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/voting-rights-and-models-of-voter-behavior/v/voting-rights?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Definite integrals: reverse power rule | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/auOcNZFKfo0/default.jpg URL=http://www.youtube.com/watch?v=auOcNZFKfo0 description=Examples of calculating definite integrals of polynomials using the fundamental theorem of calculus and the reverse power rule. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/e/evaluating-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/evaluating-definite-integral-with-power-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-common-indefinite-int/e/indefinite-integrals-of-e-x-1-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing related rates problems: equations (Pythagoras) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/hFRQBhHdINM/default.jpg URL=http://www.youtube.com/watch?v=hFRQBhHdINM description=A crucial part of solving related rates problems is picking an equation that correctly relates the quantities. We recommend making a diagram before doing that. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/e/analyzing-related-rates-problems-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/related-rates-example-with-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/analyzing-related-rates-problems-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing constants of proportionality | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/oZxbLuJ1U5w/default.jpg URL=http://www.youtube.com/watch?v=oZxbLuJ1U5w description=Working example comparing constants of proportionality. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/constant-of-proportionality/e/compare-constants-of-proportionality?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting graphs of proportional relationships | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/ApstXGJtRrE/default.jpg URL=http://www.youtube.com/watch?v=ApstXGJtRrE description=Worked example interpreting graphs of proportional relationships. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-graphs-proportions/e/interpreting-graphs-of-proportional-relationships?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Identifying proportional relationships from graphs | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/7IU-TOOSxPM/default.jpg URL=http://www.youtube.com/watch?v=7IU-TOOSxPM description=Worked example identifying proportional relationships from graphs. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-graphs-proportions/e/identify-proportional-relationships-from-graphs?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Generalizabilty of survey results example | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/vEon1weoA3o/default.jpg URL=http://www.youtube.com/watch?v=vEon1weoA3o description=Worked example using least squares regression output. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/using-least-squares-regression-output?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Visually assessing standard deviation | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/-iCMQoCJFBY/default.jpg URL=http://www.youtube.com/watch?v=-iCMQoCJFBY description=Worked examples visually assessing the standard distribution. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-spread-quantitative/v/visual-standard-deviation?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Estimating mean and median in data displays | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/rb-T5ppxJk0/default.jpg URL=http://www.youtube.com/watch?v=rb-T5ppxJk0 description=Estimating mean and median in data displays. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/mean-median-more/v/estimating-mean-median-displays?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Median in a histogram | Summarizing quantitative data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/xTwDmnEEb9E/default.jpg URL=http://www.youtube.com/watch?v=xTwDmnEEb9E description=Worked example from Khan Academy finding the interval in a histogram containing the media of a data set. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-center-quantitative/v/median-histogram?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constant of proportionality from graph | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/n_UHN9t3cNg/default.jpg URL=http://www.youtube.com/watch?v=n_UHN9t3cNg description=Sal finds constant of proportionality by looking at the graph of a line. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/7th-constant-of-proportionality/e/constant-of-proportionality-from-graphs?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Categorical grants, mandates, and the Commerce Clause | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/DZaNZ1vFx18/default.jpg URL=http://www.youtube.com/watch?v=DZaNZ1vFx18 description=How categorical grants, mandates, and the Commerce Clause have been used to expand federal power over state affairs. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/relationship-between-states-and-the-federal-government/v/categorical-grants-mandates-and-the-commerce-clause?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Executive orders | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/gCNvBqTJTUA/default.jpg URL=http://www.youtube.com/watch?v=gCNvBqTJTUA description=How executive orders have been used by presidents to expand their powers beyond those explicitly listed in Article II of the US Constitution. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/roles-and-powers-of-the-president/v/executive-orders-1?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Impact of media evolution on politics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/vyIMg4F5axw/default.jpg URL=http://www.youtube.com/watch?v=vyIMg4F5axw description=How the evolution from newspapers to radio to television to the Internet and social media have affected political discourse. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/changing-media/v/impact-of-media-evolution-on-politics?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Political ideology and economics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/AX988fq3cXY/default.jpg URL=http://www.youtube.com/watch?v=AX988fq3cXY description=How liberals, conservatives, and libertarians think about fiscal and monetary policy. Discussion of Keynesian and supply-side economics. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/american-political-beliefs-and-behaviors/ideology-and-economic-policy/v/political-ideology-and-economics?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Why policy decisions may not reflect perceived public opinion thumb=https://i.ytimg.com/vi/2Etffnqb1qE/default.jpg URL=http://www.youtube.com/watch?v=2Etffnqb1qE description=A discussion of when and why public opinion as measured by polling data may or may not drive public policy decisions./description type=video name=Why polls can be wrong thumb=https://i.ytimg.com/vi/DVKY9alKYtc/default.jpg URL=http://www.youtube.com/watch?v=DVKY9alKYtc description=Overview of reasons why reality may end up being different than what poll indicate./description type=video name=Scientific polling introduction thumb=https://i.ytimg.com/vi/85NM1-FQrn0/default.jpg URL=http://www.youtube.com/watch?v=85NM1-FQrn0 description=What makes a poll or survey credible: random sampling, large sample sizes, low margin of errors and unbiased poll questions./description type=video name=Measuring public opinion thumb=https://i.ytimg.com/vi/GoAiLiPWB1U/default.jpg URL=http://www.youtube.com/watch?v=GoAiLiPWB1U description=An introduction to the typical ways that public opinion is measured./description type=video name=Stare decisis and precedent in the Supreme Court | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/8Yl_yNNXKnY/default.jpg URL=http://www.youtube.com/watch?v=8Yl_yNNXKnY description=How the Supreme Court uses the principal of stare decisis when incorporating precedent into decisions. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/legitimacy-of-the-judicial-branch/v/stare-decisis-and-precedent-in-the-supreme-court?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The aggregate production function and growth | APⓇ Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/yrPrzY3rmQM/default.jpg URL=http://www.youtube.com/watch?v=yrPrzY3rmQM description=This video discusses how economists measure the total factor productivity, capital, and human capital for an aggregate production function. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/e/economic-growth Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/v/aggregate-production-function-and-productivity Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/v/understanding-economic-growth-ap-macroeconomics-khan-academy AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Aggregate production function and economic growth | APⓇ Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/8FzOm1-xcJA/default.jpg URL=http://www.youtube.com/watch?v=8FzOm1-xcJA description=In this video, learn about how several scenarios affect the aggregate production function and economic growth. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/e/economic-growth Watch the next lesson: https://www.khanacademy.org/devadmin/content#x00000000-x5ca94af1-x4b5148b6d48d333a-xa2bb98742072bce7-x68a730726a3ae950-Video:769859645 Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/v/understanding-economic-growth-ap-macroeconomics-khan-academy AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Business cycles and the production possibilities curve | APⓇ Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/0F6lRMI_rHQ/default.jpg URL=http://www.youtube.com/watch?v=0F6lRMI_rHQ description=This video demonstrates how different points of the business cycle correspond to the production possibilities curve. The discussion includes unemployment, inflation, expansions, recessions and economic growth. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/business-cycles/e/the-business-cycle--gdp-and-unemployment Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/national-income-and-price-determinations/aggregate-demand-ap/v/aggregate-demand Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/business-cycles/v/the-business-cycle AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pedigrees | Classical genetics | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/11s5Biyi9q4/default.jpg URL=http://www.youtube.com/watch?v=11s5Biyi9q4 description=An introduction to reading and analyzing pedigrees. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-classical-genetics/hs-pedigrees/v/pedigrees?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Data to justify experimental claims examples | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/63eKZySl8m4/default.jpg URL=http://www.youtube.com/watch?v=63eKZySl8m4 description=Example questions analyzing data to justify claims in experiments. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biology-and-the-scientific-method/v/data-to-justify-experimental-claims-examples?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Molecular evidence for evolutionary relationships examples | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/mHH0sSm2cK8/default.jpg URL=http://www.youtube.com/watch?v=mHH0sSm2cK8 description=Two example items (from NY Regents exams) using molecular evidence to think about how closely related different species are. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-the-atom/v/introduction-to-chemistry?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Resistivity experimentally determined thumb=https://i.ytimg.com/vi/AOntr8OksEY/default.jpg URL=http://www.youtube.com/watch?v=AOntr8OksEY description=AP free response question experimentally estimating the resistivity of a conductive dough./description type=video name=Velocity, acceleration and distance traveled for points on wave thumb=https://i.ytimg.com/vi/I5qa8gkz7BM/default.jpg URL=http://www.youtube.com/watch?v=I5qa8gkz7BM description=AP physics free response question analyzing the movement of points on a string that has a transverse wave traveling through it./description type=video name=Angular velocity graphs due to multiple torques thumb=https://i.ytimg.com/vi/xQUERO-_bT0/default.jpg URL=http://www.youtube.com/watch?v=xQUERO-_bT0 description=Example thinking through how what the angular velocity graph would look like due to torques be applied to a rotating disk./description type=video name=Momentum collision graphs thumb=https://i.ytimg.com/vi/H1xpE6i8-sk/default.jpg URL=http://www.youtube.com/watch?v=H1xpE6i8-sk description=Example thinking about the graph of an object before and after a collision when friction is involved./description type=video name=Kinematics and force example thumb=https://i.ytimg.com/vi/qKdOD23LYOw/default.jpg URL=http://www.youtube.com/watch?v=qKdOD23LYOw description=Worked example determining the breaking force based on the change in velocity and elapsed time./description type=video name=Conservation of momentum and energy example thumb=https://i.ytimg.com/vi/9013Imlt0ZI/default.jpg URL=http://www.youtube.com/watch?v=9013Imlt0ZI description=Example problem that utilizes the conservation of momentum and the conservation of energy to solve./description type=video name=Power dissipation in resistors in series versus in parallel thumb=https://i.ytimg.com/vi/tpSxReO1JlA/default.jpg URL=http://www.youtube.com/watch?v=tpSxReO1JlA description=Comparing power dissipation in resistors in series versus in parallel example./description type=video name=Energy dissipation across two resistors in series example thumb=https://i.ytimg.com/vi/pbQJqmYdjbk/default.jpg URL=http://www.youtube.com/watch?v=pbQJqmYdjbk description=Conceptual example showing how the energy dissipated over time is different for two resistors (of different resistances) in series./description type=video name=Newton's third law conceptual worked example thumb=https://i.ytimg.com/vi/ezN-CACtWG0/default.jpg URL=http://www.youtube.com/watch?v=ezN-CACtWG0 description=Newton's third law conceptual worked example involving two stacked masses in a downward moving elevator that is slowing down./description type=video name=Torque and kinematics conceptual example thumb=https://i.ytimg.com/vi/kOlfa11Pdgk/default.jpg URL=http://www.youtube.com/watch?v=kOlfa11Pdgk description=Example conceptual problem involving torque, angular velocity, angular acceleration and friction./description type=video name=Bank balance sheets and fractional reserve banking | APⓇ Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/bZEAkO9OSco/default.jpg URL=http://www.youtube.com/watch?v=bZEAkO9OSco description=This video breaks down a bank's balance sheet even further by walking through assets, liabilities, equity, required reserves, and excess reserves. Practice this yourself on Khan Academy right now:https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/banking-and-the-expansion-of-the-money-supply-ap/e/fractional-reserve-banking Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/banking-and-the-expansion-of-the-money-supply-ap/v/money-creation-in-a-fractional-reserve-system-ap-macroeconomics-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/definition-measurement-and-functions-of-money-ap/v/commodity-money-vs-fiat-money AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bank balance sheet free response question | APⓇ Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/vqYlKvQhoWw/default.jpg URL=http://www.youtube.com/watch?v=vqYlKvQhoWw description=In this video, Sal walks through how to solve question 2 of the 2016 AP Macroeconomics exam. Topics include analyzing reserve requirements, determining the availability of funds that a bank can loan, and money creation through the fractional reserve banking system. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/banking-and-the-expansion-of-the-money-supply-ap/e/fractional-reserve-banking Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/the-money-market-apmacro/v/demand-curve-for-money-in-the-money-market-ap-macroeconomics-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/banking-and-the-expansion-of-the-money-supply-ap/v/money-creation-in-a-fractional-reserve-system-ap-macroeconomics-khan-academy AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nation’s performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introducing Khan Academy Kids thumb=https://i.ytimg.com/vi/ZotsK7MQOZk/default.jpg URL=http://www.youtube.com/watch?v=ZotsK7MQOZk description=Khan Academy Kids is a free, fun educational program that will inspire a lifetime of learning and discovery for young children. Download here: https://www.khanacademy.org/kids?utm_source=youtube&utm_medium=desc Kids ages 2-7 engage with thousands of interactive activities aligned with the Head Start Learning Outcomes Framework and Common Core Standards. The curriculum includes reading and literacy, language, math, social-emotional development, executive functioning skills, physical development, and creative expression. Download today! http://khan.co/KhanKids-YT-Google http://khan.co/KhanKids-YT-Apple http://khan.co/KhanKids-YT-Amazon Subscribe to our newly created Khan Academy Kids channel for more videos! https://www.youtube.com/channel/UC2ri4rEb8abnNwXvTjg5ARw/description type=video name=Standard deviation of residuals or root mean square deviation (RMSD) | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hSP_rmNHU_U/default.jpg URL=http://www.youtube.com/watch?v=hSP_rmNHU_U description=Standard deviation of the residuals are a measure of how well a regression line fits the data. It is also known as root mean square deviation or root mean square error. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/assessing-fit-least-squares-regression/v/standard-dev-residuals?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Give the gift of life-changing education thumb=https://i.ytimg.com/vi/VltFqtzwS6o/default.jpg URL=http://www.youtube.com/watch?v=VltFqtzwS6o description=Access to education is life-changing. Change a life. Give today: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Anjali lives with her family in a one-room tenement in India and dreams of changing the world. Learn how she’s using Khan Academy to do that./description type=video name=Root mean square deviation (RMSD) thumb=https://i.ytimg.com/vi/3NXg44WBZ14/default.jpg URL=http://www.youtube.com/watch?v=3NXg44WBZ14 description=Standard deviation of the residuals are a measure of how well a regression line fits the data. It is also known as root mean square deviation or root mean square error./description type=video name=Introduction to residuals and least-squares regression | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VqD-nf1YUks/default.jpg URL=http://www.youtube.com/watch?v=VqD-nf1YUks description=Regression lines as a way to quantify a linear trend. Residuals at a point as the difference between the actual y value at a point and the estimated y value from the regression line given the x coordinate of that point. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/regression-residual-intro?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Quantum Wavefunction | Quantum physics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/OFwskHrtYQ4/default.jpg URL=http://www.youtube.com/watch?v=OFwskHrtYQ4 description=In this video David gives an introductory explanation of what the quantum wavefunction is, how to use it, and where it comes from. Watch the next lesson: https://www.khanacademy.org/science/physics/quantum-physics/atoms-and-electrons/v/atomic-energy-levels?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/quantum-physics/atoms-and-electrons/v/de-broglie-wavelength?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Photon Momentum | Quantum physics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Qwtz-QSDyOM/default.jpg URL=http://www.youtube.com/watch?v=Qwtz-QSDyOM description=In this video, David (and surfer Dan) explain how to determine the momentum of a photon. Watch the next lesson: https://www.khanacademy.org/science/physics/quantum-physics/photons/v/photoelectric-effect?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/quantum-physics/photons/v/photon-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Atomic Energy Levels | Quantum physics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/_vK5KPycEvA/default.jpg URL=http://www.youtube.com/watch?v=_vK5KPycEvA description=In this video, David explains how an atom can absorb and emit photons of particular values and how to determine the allowed values. Watch the next lesson: https://www.khanacademy.org/science/physics/quantum-physics/atoms-and-electrons/v/bohr-model-radii-derivation-using-physics?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/quantum-physics/atoms-and-electrons/v/quantum-wavefunction?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mirror equation example problems | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/oeGC4-aQd_Q/default.jpg URL=http://www.youtube.com/watch?v=oeGC4-aQd_Q description=In this video David solves a few exmaple problems involving concave and convex mirrors using the mirror equation and magnification equation. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/lenses/v/convex-lenses?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors/v/derivation-of-the-mirror-equation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Center of mass equation | Impacts and linear momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/B0Ard8jDiHM/default.jpg URL=http://www.youtube.com/watch?v=B0Ard8jDiHM description=In this video David explains how to use the formula for finding the center of mass and does a few sample problems to find center of mass. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/angular-motion-variables?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/linear-momentum/center-of-mass/v/center-of-mass?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Classifying shapes of distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Y53_8WRrPzg/default.jpg URL=http://www.youtube.com/watch?v=Y53_8WRrPzg description=Classifying distributions as being symmetric, left skewed, right skewed, uniform or bimodal. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/quantitative-data-ap/describing-comparing-distributions/v/classifying-distributions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Writing equations of perpendicular lines (example 2) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/8m8hFcFJ-JM/default.jpg URL=http://www.youtube.com/watch?v=8m8hFcFJ-JM description=Sal finds the equation of a line perpendicular to a line given in slope-intercept form that passes through a specific point. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/find-the-equation-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-eq/v/perpendicular-lines-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Welcome to the 2017 Khan Academy Annual Report thumb=https://i.ytimg.com/vi/ZoEnj-2McBs/default.jpg URL=http://www.youtube.com/watch?v=ZoEnj-2McBs description=The 2017 Khan Academy Annual Report is here! As a nonprofit organization, we’re grateful for our supporters and honored to share the work they make possible. We’re also excited to celebrate the success of students and teachers who used Khan Academy in 2017. Check it out here: https://www.khanacademyannualreport.org?utm_source=youtube&utm_medium=desc Please help make a difference in the lives of learners around the world by going to: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc/description type=video name=Parallel & perpendicular lines from graph thumb=https://i.ytimg.com/vi/6riBTnlI4fw/default.jpg URL=http://www.youtube.com/watch?v=6riBTnlI4fw description=The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/e/line_relationships?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/v/equations-of-parallel-and-perpendicular-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-parallel-perpendicular-lines/v/parallel-and-perpendicular-lines-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Approximation with local linearity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/wdQRY3Er7PE/default.jpg URL=http://www.youtube.com/watch?v=wdQRY3Er7PE description=Finding the equation of a tangent line at a point of a curve by knowing the derivative at that point. Then using that equation to approximate the value of the function at close by x-values. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-6/v/approximation-with-local-linearity?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Exchange rate primer | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/-5x6j_P1OSI/default.jpg URL=http://www.youtube.com/watch?v=-5x6j_P1OSI description=Learn about what an exchange rate is and how to determine the cost of goods in another currency. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-open-economy-international-trade-and-finance/exchange-rates/v/exchange-rate-primer-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Integration with partial fractions | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/Mt92Ozs7aJg/default.jpg URL=http://www.youtube.com/watch?v=Mt92Ozs7aJg description=Finding the integral of a rational function using linear partial fraction decomposition. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-bc/bc-integration-new/bc-6-12/v/integration-with-partial-fractions?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusbc Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Merging definite integrals over adjacent intervals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/w00eCt3i9KM/default.jpg URL=http://www.youtube.com/watch?v=w00eCt3i9KM description=Thinking about how to evaluate the sum of definite integrals over adjacent intervals. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-6/v/merging-definite-integrals-over-adjacent-intervals?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Functions defined by definite integrals (accumulation functions) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/qJMbAfbb_Ek/default.jpg URL=http://www.youtube.com/watch?v=qJMbAfbb_Ek description=Understanding that a function can be defined using a definite integral. Thinking about how to evaluate functions defined this way. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-4/v/functions-defined-by-definite-integrals?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Congressional elections | Political participation | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/18B5S96H9CU/default.jpg URL=http://www.youtube.com/watch?v=18B5S96H9CU description=The outcomes in US Congressional elections are affected by the incumbency advantage phenomenon, open and closed primaries, caucuses, and general elections. Kim Kutz Elliott discusses what impact the incumbency advantage has on elections. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/congressional-elections/v/congressional-elections?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Z-score introduction | Modeling data distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/5S-Zfa-vOXs/default.jpg URL=http://www.youtube.com/watch?v=5S-Zfa-vOXs description=Introducing the idea of a z-score as the number of standard deviations away from the mean a certain data point is. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/measuring-position/v/z-score-introduction?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constitutional compromises: The Three-Fifths Compromise | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/ILAK1bSqccY/default.jpg URL=http://www.youtube.com/watch?v=ILAK1bSqccY description=During the Constitution Convention, the Framers made several compromises, including the method for counting enslaved Africans for the purposes of population (the Three-Fifths Compromise) and the end of the international slave trade. In this video, Kim Kutz Elliott discusses the impact of this compromise. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/constitutional-compromises-the-three-fifths-compromise?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constitutional compromises: The Electoral College | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/UyiDxjN8kcI/default.jpg URL=http://www.youtube.com/watch?v=UyiDxjN8kcI description=In order to ratify the Constitution, the delegates made several compromises, including the system for electing the president. In this video, Kim Kutz Elliott discusses the reasons that the Framers created the Electoral College. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/constitutional-compromises-the-electoral-college?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Emirate of Nejd and the Kingdom of Saudi Arabia thumb=https://i.ytimg.com/vi/7n96N2gnlu0/default.jpg URL=http://www.youtube.com/watch?v=7n96N2gnlu0 description=After the fall of the Emirate of Diriyah in 1818, in 1824 the second Saudi state known as the Emirate of Nejd is established. It last until 1891 when it fall to the Rashidun tribe. The third Saudi state is then established in 1902 by Abdulaziz which becomes the Kingdom of Saudi Arabia, which became a major player on the global stage with the discovery of major oil reserves in 1938./description type=video name=Emirate of Diriyah as the first Saudi State thumb=https://i.ytimg.com/vi/Y4k2c-Y7UkQ/default.jpg URL=http://www.youtube.com/watch?v=Y4k2c-Y7UkQ description=The beginning of the Saudi Dynasty as a major force in the Arabian Peninsula. The alliance between Muhammad bin Saudi and the Muhammad bin Abdul Wahhab being a key factor that led to Saudi expansion. The first Saudi state ends as Ottomans get Muhammad Ali to end the Emirate of Diriyah in the culmination of the Ottoman-Wahhabi War./description type=video name=Writing proportional equations | Rates & proportional relationships | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/MRFrQXDZim0/default.jpg URL=http://www.youtube.com/watch?v=MRFrQXDZim0 description=Sal figures out the constant of proportionality when dealing with a constant rate. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/example-writing-proportional-equations?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constant of proportionality from tables | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/rzDQ_ZIpi84/default.jpg URL=http://www.youtube.com/watch?v=rzDQ_ZIpi84 description=Identifying proportionality constants by looking at tables of values. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/7th-constant-of-proportionality/e/constant-of-proportionality-from-table?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to proportional relationships | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/l-HtxhClZ-0/default.jpg URL=http://www.youtube.com/watch?v=l-HtxhClZ-0 description=Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality". View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/7th-constant-of-proportionality/v/introduction-proportional-relationships?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Proof for the meaning of Lagrange multipliers | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/b9B2FZ5cqbM/default.jpg URL=http://www.youtube.com/watch?v=b9B2FZ5cqbM description=Here, you can see a proof of the fact shown in the last video, that the Lagrange multiplier gives information about how altering a constraint can alter the solution to a constrained maximization problem. Note, this is somewhat technical Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/integrating-multivariable-functions/modal/v/introduction-to-the-line-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/applications-of-multivariable-derivatives/lagrange-multipliers-and-constrained-optimization/v/meaning-of-lagrange-multiplier?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating scale drawings | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/TASA6V5fGT8/default.jpg URL=http://www.youtube.com/watch?v=TASA6V5fGT8 description=Sal uses real world contexts to create scale drawings on a grid. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/e/constructing-scale-drawings?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Scale drawings | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/XUOPGqKGbjk/default.jpg URL=http://www.youtube.com/watch?v=XUOPGqKGbjk description=Sal finds a missing side length in a scale drawing when given either a set of corresponding side lengths or one side length and the scale factor. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/e/interpreting-scale-drawings?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Making scaled copies thumb=https://i.ytimg.com/vi/KikKyl5n5y4/default.jpg URL=http://www.youtube.com/watch?v=KikKyl5n5y4 description=Making scaled copies/description type=video name=Identifying corresponding parts of scaled copies | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/o07enwTfSpU/default.jpg URL=http://www.youtube.com/watch?v=o07enwTfSpU description=Identifying corresponding parts of scaled copies View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/scale-copies/e/corresponding-sides-and-points-in-scale-drawings?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Identifying scale factor in drawings | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/ZeY1mgog2YQ/default.jpg URL=http://www.youtube.com/watch?v=ZeY1mgog2YQ description=Identify the scale factor used to create a scale copy. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/scale-copies/e/scale-factor-in-scale-drawings?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting scale factors in drawings | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/Rgi1z9r5hOk/default.jpg URL=http://www.youtube.com/watch?v=Rgi1z9r5hOk description=Sal interprets a scale factor to determine if a scale copy will be larger or smaller than the original figure. View more lessons or practice this subject at https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/scale-copies/e/interpret-scale-factor-in-scale-drawings?utm_source=youtube&utm_medium=desc&utm_campaign=7thgrade Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Chain rule | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/0T0QrHO56qg/default.jpg URL=http://www.youtube.com/watch?v=0T0QrHO56qg description=The chain rule states that the derivative of f(g(x)) is f'(g(x))_g'(x). In other words, it helps us differentiate *composite functions*. For example, sin(x_) is a composite function because it can be constructed as f(g(x)) for f(x)=sin(x) and g(x)=x_. Using the chain rule and the derivatives of sin(x) and x_, we can then find the derivative of sin(x_). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/recognizing-compositions-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-rational-func-diff/v/linear-approximation-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Ratios thumb=https://i.ytimg.com/vi/IeWvK1daXTA/default.jpg URL=http://www.youtube.com/watch?v=IeWvK1daXTA description=Introduction to Ratios/description type=video name=Senate confirmation as a check on the judicial branch | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/kMCSbnqWFK8/default.jpg URL=http://www.youtube.com/watch?v=kMCSbnqWFK8 description=Senate confirmation as a check on the Judicial Branch. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/checks-on-the-judicial-branch/v/senate-confirmation-hearings-for-justices?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=State checks on the judicial branch | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/CwiVwRzqCmA/default.jpg URL=http://www.youtube.com/watch?v=CwiVwRzqCmA description=Brown v. Board of Education and how some states tried to get around it. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/checks-on-the-judicial-branch/v/state-checks-on-the-judicial-branch?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to average rate of change | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/oT6LclcJ-I8/default.jpg URL=http://www.youtube.com/watch?v=oT6LclcJ-I8 description=Sal explains what's the average rate of change of a function over an interval. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/e/avg-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/average-rate-of-change-example-1?utm_source=youtube&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-features-of-graphs/v/interpreting-features-of-functions-2-example-1?utm_source=youtube&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deficits and debt | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/tpMsBi47k8Q/default.jpg URL=http://www.youtube.com/watch?v=tpMsBi47k8Q description=In this video, learn about the distinction between deficits and debts, as well as the pros and cons of deficits. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/deficits-and-debts/v/deficits-and-debt-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Checks on the judicial branch | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/Fnf1lNU7C-A/default.jpg URL=http://www.youtube.com/watch?v=Fnf1lNU7C-A description=How the other branches of government can check the Supreme Court's power. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/checks-on-the-judicial-branch/v/checks-on-the-judicial-branch?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=2011 Calculus AB Free Response #1 parts b c d | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/OSipkz8vDjE/default.jpg URL=http://www.youtube.com/watch?v=OSipkz8vDjE description=Integration to find average value of a function. Using a graphing calculator to calculate definite integrals. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-2-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-1a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and he's part of the teaching team that helped develop Khan Academy's AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fiscal and monetary policy in parallel | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/sFFDgW5ublQ/default.jpg URL=http://www.youtube.com/watch?v=sFFDgW5ublQ description=Fiscal and monetary policy in parallel. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/fiscal-and-monetary-policy-actions-in-the-short-run/v/fiscal-and-monetary-policy-in-parallel?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Khan Academy Teacher Training 2018 thumb=https://i.ytimg.com/vi/5-Nm6pBHJPI/default.jpg URL=http://www.youtube.com/watch?v=5-Nm6pBHJPI description=Sign up for Khan Academy’s free, 60-minute, self-paced mini-PD, and learn the nuts and bolts of how real teachers use Khan Academy in their classrooms. Short videos, printable how-to guides, and ongoing expert support ensure you’re prepared for back to school. Sign up now: https://www.khanacademy.org/signup?isteacher=1&utm_source=youtube&utm_medium=desc/description type=video name=Modeling ticket fines with exponential function | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/2iZXFd_ZImA/default.jpg URL=http://www.youtube.com/watch?v=2iZXFd_ZImA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/e/rewriting-and-interpreting-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/solve-exponentials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/decay-of-cesium-137-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=One-sided limits from tables | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/9geXUOXTJJQ/default.jpg URL=http://www.youtube.com/watch?v=9geXUOXTJJQ description=When we read a one-sided limit from a table, we are only interested in the value the function approaches from a single direction (either left or right). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/connecting-limits-and-graphical-behavior?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/one-sided-limits-from-graphs-asymptote?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Media as a linkage institution | Political participation | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/DmANu5lkTl8/default.jpg URL=http://www.youtube.com/watch?v=DmANu5lkTl8 description=Media as a linkage institution. Incentives for media to cater to ideologies of target audience. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/the-media/v/media-as-a-linkage-institution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Selective incorporation | Civil liberties and civil rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/0a799xooy-w/default.jpg URL=http://www.youtube.com/watch?v=0a799xooy-w description=The judicial doctrine of selective incorporation and how it uses the due process clause as its justification. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/selective-incorporation/v/selective-incorporation?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Cost and duration of modern campaigns | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/yb5DH9y-rB8/default.jpg URL=http://www.youtube.com/watch?v=yb5DH9y-rB8 description=Benefits and drawbacks of modern political campaigns in the United States, including consultants, campaign costs, and social media. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/modern-campaigns/v/cost-and-duration-of-modern-campaigns?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example free response question from AP macroeconomics | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Qh8hO9j76R4/default.jpg URL=http://www.youtube.com/watch?v=Qh8hO9j76R4 description=This video walks you through the concepts covered on an AP Macroeconomics Free Response Question. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/prepare-for-the-2018-ap-macro-exam/v/example-free-response-question-from-ap-macroeconomics-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Justification with the mean value theorem: equation | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/IJ-obdnR_j8/default.jpg URL=http://www.youtube.com/watch?v=IJ-obdnR_j8 description=Example justifying use of mean value theorem (where function is defined with an equation). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-1/v/justification-with-the-mean-value-theorem-equation?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Justification with the mean value theorem: table | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/PE8NNZG9IYw/default.jpg URL=http://www.youtube.com/watch?v=PE8NNZG9IYw description=Example justifying use of mean value theorem (where function is defined with a table). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-1/v/justification-with-the-mean-value-theorem-table?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Justification with the intermediate value theorem: equation | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/cSw5R-jdMiI/default.jpg URL=http://www.youtube.com/watch?v=cSw5R-jdMiI description=Example justifying use of intermediate value theorem (where function is defined with an equation). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-16/v/justification-with-the-intermediate-value-theorem-equation?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Justification with the intermediate value theorem: table | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/B0A2lDzn3yw/default.jpg URL=http://www.youtube.com/watch?v=B0A2lDzn3yw description=Example justifying use of intermediate value theorem (where function is defined with a table). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-16/v/justification-with-the-intermediate-value-theorem-table?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Horizontal tangent to implicit curve | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ZhOojHeslhs/default.jpg URL=http://www.youtube.com/watch?v=ZhOojHeslhs description=Finding the equation of a horizontal tangent to a curve that is defined implicitly as an equation in x and y. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-12/v/implicit-curve-horizontal-tangent?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Finding points with vertical tangents thumb=https://i.ytimg.com/vi/-jcVn0yCJ6E/default.jpg URL=http://www.youtube.com/watch?v=-jcVn0yCJ6E description=Finding points with vertical tangents using implicit differentiation/description type=video name=Volume with cross sections: intro | Applications of integration | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/4vLy5VoUcQE/default.jpg URL=http://www.youtube.com/watch?v=4vLy5VoUcQE description=Using definite integration to find volume of a solid whose base is given as a region between function and whose cross sections are squares. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-of-integration-new/ab-8-7/v/volume-with-cross-sections-intro?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Integration using completing the square and the derivative of arctan(x) | Khan Academy thumb=https://i.ytimg.com/vi/1nXSO3POyZ8/default.jpg URL=http://www.youtube.com/watch?v=1nXSO3POyZ8 description=Sometimes we can integrate rational functions by using the method of completing the square in the denominator and then integrating using u-substitution and our knowledge about the derivative of arctan(x). View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-10/v/integration-using-completing-the-square-arctan?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting the meaning of the derivative in context | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/IElkjzC9YhQ/default.jpg URL=http://www.youtube.com/watch?v=IElkjzC9YhQ description=When derivatives are used to describe real-world situations, we need to know how to make sense of them. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-contextual-applications-new/ab-4-1/v/interpreting-the-meaning-of-the-derivative-in-context?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Second derivatives (implicit equations): evaluate derivative | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/komjMq5jm9k/default.jpg URL=http://www.youtube.com/watch?v=komjMq5jm9k description=Given the first derivative of an implicit equation in x and y, evaluate the second derivative at a certain point. Problem taken from the 2015 AP Calculus AB exam. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-6/v/evaluating-second-derivative-implicit?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Second derivatives (implicit equations): find expression | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/oPijG5Bfemg/default.jpg URL=http://www.youtube.com/watch?v=oPijG5Bfemg description=Given an implicit equation in x and y, finding the expression for the second derivative of y with respect to x. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-6/v/finding-second-derivative-implicit?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Citizens United v. Federal Election Commission | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/1co7bMQplwQ/default.jpg URL=http://www.youtube.com/watch?v=1co7bMQplwQ description=A deep dive into Citizens United v. FEC, a 2010 Supreme Court case that ruled that political spending by corporations, associations, and labor unions is a form of protected speech under the First Amendment. In this video, Sal discusses the case with scholars Richard Hasen and Bradley Smith. A deep dive into Citizens United v. FEC, a 2010 Supreme Court case that ruled that political spending by corporations, associations, and labor unions is a form of protected speech under the First Amendment. In this video, Sal discusses the case with scholars Richard Hasen and Bradley Smith. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/campaign-finance/v/citizens-united-v-federal-election-commission?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to genetic engineering | Molecular genetics | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/JNgONZ8Dq9I/default.jpg URL=http://www.youtube.com/watch?v=JNgONZ8Dq9I description=Introduction to genetic engineering. Human breeding. Recombinant DNA. Bioethics. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-molecular-genetics/hs-biotechnology/v/introduction-to-genetic-engineering?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to experimental design | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/ceWyayKg3QY/default.jpg URL=http://www.youtube.com/watch?v=ceWyayKg3QY description=Introduction to experiment design. Creating a hypothesis. Double-blind testing. Placebo effect. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biology-and-the-scientific-method/v/introduction-to-experimental-design?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Negative definite integrals | Integration and accumulation of change | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/TtRAY6Eyp4w/default.jpg URL=http://www.youtube.com/watch?v=TtRAY6Eyp4w description=We learned that definite integrals give us the area under the curve and above the x-axis. But what if the curve itself is below the x-axis? In this case, the definite integral is still related to area, but it's negative. See how this works and get some intuition for why this is so. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-6/v/negative-definite-integrals?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Verifying solutions to differential equations | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/KZqg4L--YC0/default.jpg URL=http://www.youtube.com/watch?v=KZqg4L--YC0 description=We can check whether a potential solution to a differential equation is indeed a solution. What we need to do is differentiate and substitute both the solution and the derivative into the equation. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-differential-equations-new/ab-7-2/v/verifying-solutions-to-differential-equations?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Finding definite integrals using area formulas | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/7R_DTzVHw5Y/default.jpg URL=http://www.youtube.com/watch?v=7R_DTzVHw5Y description=Since definite integrals are the net area between a curve and the x-axis, we can sometimes use geometric area formulas to find definite integrals. See how it's done. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-6/v/definite-integrals-with-area-formulas?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Limits of piecewise functions | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/2xdh0yKopB8/default.jpg URL=http://www.youtube.com/watch?v=2xdh0yKopB8 description=When finding a limit of a piecewise defined function, we should make sure we are using the appropriate definition of the function, depending on where the value that x approaches lies. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-5b/v/limits-of-piecewise-functions?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Power rule (with rewriting the expression) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/H-v4oraDjuM/default.jpg URL=http://www.youtube.com/watch?v=H-v4oraDjuM description=We can use the power rule to find the derivatives of functions like 1/x, _x, or _x_. To do that, we first need to rewrite those functions as x_, where n would be negative or a fraction. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-5/v/power-rule-with-rewriting?utm_source=youtube&utm_medium=desc&utm_campaign=apcalculusab AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example identifying roles in a food web | Ecology | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/xL96QwxwbG0/default.jpg URL=http://www.youtube.com/watch?v=xL96QwxwbG0 description=Example identifying roles in a food web. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-ecology/trophic-levels/v/example-identifying-roles-in-a-food-web?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Pedigree for determining probability of exhibiting sex linked recessive trait | Khan Academy thumb=https://i.ytimg.com/vi/DzP7XO0Qg_Y/default.jpg URL=http://www.youtube.com/watch?v=DzP7XO0Qg_Y description=Pedigree for determining probability of exhibiting sex linked recessive trait. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-classical-genetics/hs-pedigrees/v/pedigree-for-determining-probability-of-exhibiting-sex-linked-recessive-trait?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example punnet square for sex-linked recessive trait | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/I_DjmWS_9cg/default.jpg URL=http://www.youtube.com/watch?v=I_DjmWS_9cg description=Example punnet square for sex-linked recessive trait. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-classical-genetics/hs-sex-linkage/v/example-punnet-square-for-sex-linked-recessive-trait?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Asexual and sexual reproduction | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/g59s153t_6Q/default.jpg URL=http://www.youtube.com/watch?v=g59s153t_6Q description=Binary fission, budding, mitosis, fragmentation, parthenogenesis and sexual reproduction. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-reproduction-and-cell-division/hs-types-of-reproduction/v/asexual-and-sexual-reproduction?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Generational and lifecycle effects on political ideology | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/wyU1zIKO97M/default.jpg URL=http://www.youtube.com/watch?v=wyU1zIKO97M description=Generational and lifecycle effects on political ideology. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/american-political-beliefs-and-behaviors/changes-in-ideology/v/generational-and-lifecycle-effects-on-political-ideology?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=McDonald v. Chicago | Civil liberties and civil rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/7WWsGtOIF_4/default.jpg URL=http://www.youtube.com/watch?v=7WWsGtOIF_4 description=A deep dive into McDonald v. Chicago, a 2010 Supreme Court case that ruled that the Second Amendment's right to keep and bear arms for self-defense in one's home is applicable to the states through the Fourteenth Amendment. In this video, Kim Kutz Elliott discusses the case with litigator Alan Gura and Elizabeth Wydra, President of the Constitutional Accountability Center. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/selective-incorporation/v/mcdonald-v-chicago?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Roe v. Wade | Civil liberties and civil rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/bXu5QiE6Knc/default.jpg URL=http://www.youtube.com/watch?v=bXu5QiE6Knc description=A deep dive into Roe v. Wade, a 1973 Supreme Court case that extended the right of privacy to a woman's decision to have an abortion, while recognizing compelling state interests in potential life and maternal health. In this video, Kim Kutz Elliott discusses the case with AUL Senior Counsel Clarke Forsythe and Professor Melissa Murray. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/amendments-due-process-and-the-right-to-privacy/v/roe-v-wade?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Baker v. Carr | Interactions among branches of government | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/Ffhvwg2YXVA/default.jpg URL=http://www.youtube.com/watch?v=Ffhvwg2YXVA description=A deep dive into Baker v. Carr, a Supreme Court case concerning equality in voting districts. Decided in 1962, the ruling established the standard of "one person, one vote" and opened the door for the Court to rule on districting cases. In this video, Kim Kutz Elliott discusses the case with Professor Guy-Uriel Charles and former Solicitor General Theodore Olson. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/congressional-behavior/v/baker-v-carr?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Miranda v. Arizona | Civil liberties and civil rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/lCK77MI7cT4/default.jpg URL=http://www.youtube.com/watch?v=lCK77MI7cT4 description=A deep dive into Miranda v. Arizona, a Supreme Court case decided in 1966. This case established the "Miranda rule," which requires police to inform suspects in police custody of their rights. In this video, Kim Kutz Elliott discusses the case with scholars Paul Cassell and Jeffrey Rosen. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/due-process-rights-of-accused/v/miranda-v-arizona?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to currency exchange and trade | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/fxvsb373URw/default.jpg URL=http://www.youtube.com/watch?v=fxvsb373URw description=Learn how interest rates, exchange rates, and international trade are intertwined in this video. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-open-economy-international-trade-and-finance/real-interest-rates-and-international-capital-flows/v/introduction-to-currency-exchange-and-trade-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example of linear regression using transformed data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/dEVGfxHF1yo/default.jpg URL=http://www.youtube.com/watch?v=dEVGfxHF1yo description=Worked example of linear regression using transformed data. Adapted from 2007 AP Statistics free response, form b, question 6, part d. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/transformations-for-linearity/v/transformed-linear-regression-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Transforming nonlinear data | More on regression | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/A1H4j97paI4/default.jpg URL=http://www.youtube.com/watch?v=A1H4j97paI4 description=Use logarithms to transform nonlinear data into a linear relationship so we can use least-squares regression methods. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/transformations-for-linearity/v/transforming-nonlinear-data?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Causes of shifts in currency supply and demand curves | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/uETL47DhlUo/default.jpg URL=http://www.youtube.com/watch?v=uETL47DhlUo description=Exchange rates are determined in the foreign exchange market, but what causes those exchange rates to change? In this video, learn about why the supply or demand for a currency might change. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-open-economy-international-trade-and-finance/effect-of-changes-in-policies-and-economic-conditions-on-the-foreign-exchange-market/v/causes-of-shifts-in-currency-supply-and-demand-curves-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditions for inference on slope | More on regression | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/kOQx3LtWHEQ/default.jpg URL=http://www.youtube.com/watch?v=kOQx3LtWHEQ description=Introducing the conditions for making a confidence interval or doing a test about slope in least-squares regression. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/inference-slope/v/conditions-inference-slope?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to inference about slope in linear regression | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Pzglbt9_xCI/default.jpg URL=http://www.youtube.com/watch?v=Pzglbt9_xCI description=Introduction to sample slopes and using them to make confidence intervals or do a test about the population slope in least-squares regression. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/inference-slope/v/intro-inference-slope?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Using a confidence interval to test slope | More on regression | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/rL9MPL3wqsk/default.jpg URL=http://www.youtube.com/watch?v=rL9MPL3wqsk description=Using confidence interval for hypothesis test on regression slope. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/inference-slope/v/interval-test-slope?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Supply and demand curves in foreign exchange | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/EH4g3qbc_vo/default.jpg URL=http://www.youtube.com/watch?v=EH4g3qbc_vo description=In this video, learn about how the model of the foreign exchange market is used to represent the determination of exchange rates. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-open-economy-international-trade-and-finance/the-foreign-exchange-market/v/supply-and-demand-curves-in-foreign-exchange-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ideologies of political parties in the United States | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/4_ss4WEN3ZI/default.jpg URL=http://www.youtube.com/watch?v=4_ss4WEN3ZI description=Ideologies of political parties in the United States. General views of liberals (generally associated with the Democratic Party) and conservatives (generally associated with the Republican Party). View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/american-political-beliefs-and-behaviors/ideologies-of-political-parties/v/ideologies-of-political-parties-in-the-united-states?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Using a P-value to make conclusions in a test about slope | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Mpd83AuDTrU/default.jpg URL=http://www.youtube.com/watch?v=Mpd83AuDTrU description=Making conclusions in a hypothesis test about the slope of a least-squares regression line. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/inference-slope/v/making-conclusions-for-regression-slope-hypothesis-test?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating t statistic for slope of regression line | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/7MAuojBTF-g/default.jpg URL=http://www.youtube.com/watch?v=7MAuojBTF-g description=Calculate the test statistic in a test about the slope of a regression line. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/inference-slope/v/t-statistic-slope?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Brown v. Board of Education of Topeka | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/x7Tj2vtkUCc/default.jpg URL=http://www.youtube.com/watch?v=x7Tj2vtkUCc description=A deep dive into Brown v. Board of Education of Topeka, a Supreme Court case decided in 1954. It ended the doctrine of "separate but equal" and brought an end to racial segregation in schools. In this video, Kim Kutz Elliott discusses the case with scholars Michael McConnell and Theodore Shaw and To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/government-responses-to-social-movements/v/brown-v-board-of-education-of-topeka-us-government-and-politics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Confidence interval for the slope of a regression line | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/8w6EPyEqE9M/default.jpg URL=http://www.youtube.com/watch?v=8w6EPyEqE9M description=Confidence interval for the slope of a regression line. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/inference-slope-linear-regression/inference-slope/v/confidence-interval-slope?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: sequence recursive formula | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/t96N4zaP-s8/default.jpg URL=http://www.youtube.com/watch?v=t96N4zaP-s8 description=Using the recursive formula of a sequence to find its fifth term. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/e/understanding-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/convergent-and-divergent-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/terms-explicit-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: sequence explicit formula | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/HiY5UElqfhs/default.jpg URL=http://www.youtube.com/watch?v=HiY5UElqfhs description=Using the explicit formula of a sequence to find a couple of its terms. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/e/understanding-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/term-of-recursive-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/explicit-and-recursive-definitions-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chi-square test for association (independence) | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/zOvUQWOzTlc/default.jpg URL=http://www.youtube.com/watch?v=zOvUQWOzTlc description=Chi-square test for association/independence. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/chi-square-tests/chi-square-tests-two-way-tables/v/chi-square-test-association-independence?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to the chi-square test for homogeneity | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/t_jfTOE44YQ/default.jpg URL=http://www.youtube.com/watch?v=t_jfTOE44YQ description=Introduction to the chi-square test for homogeneity. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/chi-square-tests/chi-square-tests-two-way-tables/v/chi-square-test-homogeneity?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Chi-square goodness-of-fit example | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VjO9hWVlOBo/default.jpg URL=http://www.youtube.com/watch?v=VjO9hWVlOBo description=Chi-square goodness-of-fit example. View more lessons or practice this subject at https://www.khanacademy.org/math/ap-statistics/chi-square-tests/chi-square-goodness-fit/v/goodness-of-fit-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Chi-square statistic for hypothesis testing | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/jABsbNBPXIk/default.jpg URL=http://www.youtube.com/watch?v=jABsbNBPXIk description=Chi-square statistic for hypothesis testing (chi-square goodness-of-fit test). View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/chi-square-tests/chi-square-goodness-fit/v/chi-square-statistic?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Current due to closing a switch: worked example | DC Circuits | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/K_K5AQeVGzM/default.jpg URL=http://www.youtube.com/watch?v=K_K5AQeVGzM description=Find the current due to closing a switch using equivalent resistance and Ohm's law. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-circuits-topic/dc-circuit-analysis-ap/v/current-due-to-closing-a-switch-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Current through resistor in parallel: Worked example | DC Circuits | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/YZGSEcLlIH0/default.jpg URL=http://www.youtube.com/watch?v=YZGSEcLlIH0 description=How to calculate the current through a resistor in parallel using equivalent resistance and Ohm's law. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-circuits-topic/dc-circuit-analysis-ap/v/current-through-resistor-in-parallel-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Types of forces and free body diagrams | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/MaabUHLIIXA/default.jpg URL=http://www.youtube.com/watch?v=MaabUHLIIXA description=Sal defines and compares tension, weight, friction and normal forces using free body diagrams. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-forces-newtons-laws/introduction-to-forces-and-free-body-diagrams-ap/v/types-of-forces-and-free-body-diagrams?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Third parties in the United States | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/Lqy4DVE1tik/default.jpg URL=http://www.youtube.com/watch?v=Lqy4DVE1tik description=Third parties in the United States. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/third-party-politics/v/third-parties-in-the-united-states?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Bill of Rights: an introduction | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/ZQj0b949rDY/default.jpg URL=http://www.youtube.com/watch?v=ZQj0b949rDY description=The first ten amendments to the US Constitution are known as the "Bill of Rights." In this video, Kim Kutz Elliott discusses how these amendments protect individual liberties and limit the power of the federal government. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/bill-of-rights/v/overview-of-the-bill-of-rights?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Understanding economic growth | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/khDAji7dXw0/default.jpg URL=http://www.youtube.com/watch?v=khDAji7dXw0 description=In this video, learn about the definition of economic growth and how growth occurs. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/economic-growth/v/understanding-economic-growth-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Crowding out | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/4lBmOfNtYLE/default.jpg URL=http://www.youtube.com/watch?v=4lBmOfNtYLE description=How government borrowing could have negative effects on investment and economic growth by "crowding out" private borrowers/investors in the loanable funds market. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/crowding-out/v/crowding-out-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Quantity theory of money | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Ye5hH6ku1L8/default.jpg URL=http://www.youtube.com/watch?v=Ye5hH6ku1L8 description=Does increasing the money supply impact the price level? Learn about the quantity theory of money in this video. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-long-run-consequences-of-stabilization-policies/money-growth-and-inflation/v/quantity-theory-of-money-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Long run and short run Phillips curves thumb=https://i.ytimg.com/vi/eN20tOlnyb8/default.jpg URL=http://www.youtube.com/watch?v=eN20tOlnyb8 description=Long run and short run Phillips curves/description type=video name=Net exports and capital outflows thumb=https://i.ytimg.com/vi/wT_ApV1s_io/default.jpg URL=http://www.youtube.com/watch?v=wT_ApV1s_io description=Thinking about how national savings and investment relate to capital flows./description type=video name=National savings and investment | Financial sector | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/fToDs5nd_rE/default.jpg URL=http://www.youtube.com/watch?v=fToDs5nd_rE description=The market for loanable funds brings savers and borrowers together. We can also represent the same idea using a mathematical model. In this video, learn about the savings and investment identity. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/the-market-for-loanable-funds/v/national-savings-and-investment-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Nominal interest, real interest, and inflation calculations | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/mFI58RRCDbs/default.jpg URL=http://www.youtube.com/watch?v=mFI58RRCDbs description=The market for loanable funds brings savers and borrowers together. We can also represent the same idea using a mathematical model. In this video, learn about the savings and investment identity. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/nominal-v-real-interest-rates-ap/v/nominal-interest-real-interest-and-inflation-calculations-ap-macroeconomics-khan-academy2?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Loanable funds market | Financial sector | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/iaGjqkRIUSk/default.jpg URL=http://www.youtube.com/watch?v=iaGjqkRIUSk description=How do savers and borrowers find each other? In the market for loanable funds! In this video, learn how the demand of loanable funds and the supply of loanable funds interact to determine real interest rates. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/the-market-for-loanable-funds/v/loanable-funds-market-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Campaign finance | Political participation | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/lPfNgTrWKyE/default.jpg URL=http://www.youtube.com/watch?v=lPfNgTrWKyE description=An introduction to campaign finance in the United States up to and after Citizens United: soft vs hard money, PACs and super PACs, the 2002 BCRA (McCain-Feingold Act). View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/campaign-finance/v/campaign-finance?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=McCulloch v. Maryland | Foundations of American democracy | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/hScx0e9qyMw/default.jpg URL=http://www.youtube.com/watch?v=hScx0e9qyMw description=A deep dive into McCulloch v. Maryland, a Supreme Court case decided in 1819. It established the supremacy of federal law over state law. In this video, Kim Kutz Elliott discusses the case with scholars Randy Barnett and Neil Siegel. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/constitutional-interpretations-of-federalism/v/mcculloch-v-maryland?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Marbury v. Madison | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/bP1pDUwV5hE/default.jpg URL=http://www.youtube.com/watch?v=bP1pDUwV5hE description=A deep dive into Marbury v. Madison, a Supreme Court case decided in 1803 that established the principle of judicial review. In this video, Kim Kutz Elliott discusses the case with scholars Michael Klarman and Kevin Walsh. To read more about constitutional law, visit the website of the National Constitution Center. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/the-judicial-branch/v/marbury-v-madison?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Tenth Amendment | The National Constitution Center | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/9Me8VGbA9dA/default.jpg URL=http://www.youtube.com/watch?v=9Me8VGbA9dA description=A deep dive into the Tenth Amendment, which states that "The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people." In this video, Kim Kutz Elliott discusses the Tenth Amendment with scholars Randy Barnett and Robert Schapiro. To read more about the Tenth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/constitutional-interpretations-of-federalism/v/the-tenth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Sixth Amendment | Civil liberties and civil rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/ReahyukN0qg/default.jpg URL=http://www.youtube.com/watch?v=ReahyukN0qg description=A deep dive into the Sixth Amendment, which guarantees citizens the right to a speedy and public trial. In this video, Kim Kutz Elliott discusses the Sixth Amendment with scholars Stephanos Bibas and Jeffrey Fisher. To read more about the Sixth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/due-process-rights-of-accused/v/the-sixth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Fifth Amendment | The National Constitution Center | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/nh78-VKSBUY/default.jpg URL=http://www.youtube.com/watch?v=nh78-VKSBUY description=A deep dive into the Fifth Amendment, which requires the government to follow due process of law and includes protections for citizens against self-incrimination and double jeopardy. In this video, Kim Kutz Elliott discusses the Fifth Amendment with scholars Donald Dripps and Stephen Saltzburg. To read more about the Fifth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/due-process-rights-of-accused/v/the-fifth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Fourth Amendment | Civil liberties and civil rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/J92qYl6m_MI/default.jpg URL=http://www.youtube.com/watch?v=J92qYl6m_MI description=A deep dive into the Fourth Amendment, which protects citizens from unreasonable searches and seizures. In this video, Kim Kutz Elliott discusses the Fourth Amendment with scholars Orin Kerr and Tracey Meares. To read more about the Fourth Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/amendments-balancing-individual-freedom-with-public-order-and-safety/v/the-fourth-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Second Amendment | The National Constitution Center | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/2EjEUoeIccc/default.jpg URL=http://www.youtube.com/watch?v=2EjEUoeIccc description=A deep dive into the Second Amendment, which states that "A well regulated Militia, being necessary to the security of a free State, the right of the people to keep and bear Arms, shall not be infringed." In this video, Kim Kutz Elliott discusses the Second Amendment with scholars Alan Gura and Adam Winkler. To read more about the Second Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/second-amendment/v/the-second-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The First Amendment | The National Constitution Center | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/ck_L-TD1t2Y/default.jpg URL=http://www.youtube.com/watch?v=ck_L-TD1t2Y description=A deep dive into the First Amendment, which guarantees US citizens freedom of religion, speech, press, and assembly. In this video, Kim Kutz Elliott discusses the First Amendment with scholars Erwin Chemerinsky and Michael McConnell. To read more about the First Amendment, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/first-amendment-religion/v/the-first-amendment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Article VII of the Constitution | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/_VuMqbtphr0/default.jpg URL=http://www.youtube.com/watch?v=_VuMqbtphr0 description=A deep dive into Article VII, which established the conditions for the ratification of the US Constitution. In this video, Kim Kutz Elliott discusses Article VII with scholars Mark Graber and Michael Rappaport. To read more about Article VII, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/article-vii-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interest groups and lobbying | Political participation | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/-rr81Uf10pc/default.jpg URL=http://www.youtube.com/watch?v=-rr81Uf10pc description=Interest groups and lobbying. NAACP, US Chamber of Commerce, NRA, AARP, AFL-CIO, AMA. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/groups-influencing-policymaking/v/interest-groups-and-lobbying?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Political socialization | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/chfz7QiwdOc/default.jpg URL=http://www.youtube.com/watch?v=chfz7QiwdOc description=Factors that influence an individual's political attitudes and values. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/american-political-beliefs-and-behaviors/political-socialization/v/political-socialization?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How To Use The Content Tab thumb=https://i.ytimg.com/vi/n5_1jFIiPgM/default.jpg URL=http://www.youtube.com/watch?v=n5_1jFIiPgM description=Dave from Khan Academy shows how you can easily preview and make assignments from the teacher dashboard./description type=video name=Affirmative action | Civil liberties and civil rights | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/i0sUJVxSXlk/default.jpg URL=http://www.youtube.com/watch?v=i0sUJVxSXlk description=What affirmative action is in the United States and major legal cases and initiatives surrounding it. Coverage of Regents of the University of California v. Bakke, Grutter v. Bollinger, and Proposition 209 in California. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/affirmative-action/v/affirmative-action?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Rulings on majority and minority rights by the Supreme Court | Khan Academy thumb=https://i.ytimg.com/vi/7R1B4QFd668/default.jpg URL=http://www.youtube.com/watch?v=7R1B4QFd668 description=How the United States Supreme Court has at times allowed the restriction of the civil rights of minority groups and at other times has protected those rights. Plessy v. Ferguson, Brown v. Board of Education and Shaw v. Reno. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/balancing-minority-majority-rights/v/rulings-on-majority-and-minority-rights-by-the-supreme-court?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Letter from a Birmingham Jail | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/VKq7wUoIIK8/default.jpg URL=http://www.youtube.com/watch?v=VKq7wUoIIK8 description=Martin Luther King, Jr.'s "Letter from a Birmingham Jail. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/social-movements-equal-protection/v/letter-from-a-birmingham-jail?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Fourteenth Amendment and equal protection | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/re2d80cqhYw/default.jpg URL=http://www.youtube.com/watch?v=re2d80cqhYw description=The Fourteenth and equal protection. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/civil-liberties-and-civil-rights/social-movements-equal-protection/v/14th-amendment-and-equal-protection?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Energy graphs for simple harmonic motion | Simple harmonic motion | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/zJtCmpH--70/default.jpg URL=http://www.youtube.com/watch?v=zJtCmpH--70 description=Sal graphs elastic potential energy and kinetic energy for a mass on a spring and compares the total energy when with and without dissipative forces (friction). View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/simple-harmonic-motion-ap/energy-in-a-simple-harmonic-oscillator-ap/v/energy-graphs-for-simple-harmonic-motion?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Gravitational potential energy at large distances | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/9Pp_LtKgTQg/default.jpg URL=http://www.youtube.com/watch?v=9Pp_LtKgTQg description=Learn how to calculate gravitational potential energy when we can no longer assume the gravitational field is uniform. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-torque-angular-momentum/gravitational-potential-energy-ap/v/gravitational-potential-energy-at-large-distances?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conservation of angular momentum | Torque and angular momentum | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/vfmLI150g4w/default.jpg URL=http://www.youtube.com/watch?v=vfmLI150g4w description=How angular momentum is conserved within a system when there is no external torque. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-torque-angular-momentum/conservation-of-angular-momentum-ap/v/conservation-of-angular-momentum?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conclusion for a two-sample t test using a confidence interval | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/iJr9PpY3PjM/default.jpg URL=http://www.youtube.com/watch?v=iJr9PpY3PjM description=Given a confidence interval estimating the difference between two means, make a conclusion in a significance test about the difference between those means. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-test-means/v/conclusion-for-2-sample-t-test-from-confidence-interval?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conclusion for a two-sample t test using a P-value | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ogFLbvKru8A/default.jpg URL=http://www.youtube.com/watch?v=ogFLbvKru8A description=Given results of a two-sample t test, compare the P-value to the significance level to make a conclusion in context about the difference between two means. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-test-means/v/conclusion-for-2-sample-t-test-from-p-value?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Two-sample t test for difference of means | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/NkGvw18zlGQ/default.jpg URL=http://www.youtube.com/watch?v=NkGvw18zlGQ description=Hypothesis test for the difference between means of two populations. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-test-means/v/two-sample-t-test-for-difference-of-means?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example of hypotheses for paired and two-sample t tests | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/X0gIJUXz6jc/default.jpg URL=http://www.youtube.com/watch?v=X0gIJUXz6jc description=Example of hypotheses for paired and two-sample t tests. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-test-means/v/example-of-hypotheses-for-paired-and-2-sample-t-tests?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Hypotheses for a two-sample t test | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/8CJ-RsoYbg0/default.jpg URL=http://www.youtube.com/watch?v=8CJ-RsoYbg0 description=Example of how to write hypotheses for a two-sample t test, and how to distinguish between paired and two-sample comparisons between means. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-test-means/v/alternative-hypothesis-for-2-sample-t-test?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating confidence interval for difference of means | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/pVPPDbZGd04/default.jpg URL=http://www.youtube.com/watch?v=pVPPDbZGd04 description=Calculating confidence interval for difference of means. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-interval-means/v/calculating-confidence-interval-for-difference-of-means?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constructing t interval for difference of means | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Lh1TPIFH7iI/default.jpg URL=http://www.youtube.com/watch?v=Lh1TPIFH7iI description=Constructing t interval for difference of means. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-interval-means/v/constructing-t-interval-for-difference-of-means?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditions for inference for difference of means | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Yadshgsx6FQ/default.jpg URL=http://www.youtube.com/watch?v=Yadshgsx6FQ description=Conditions for inference for difference of means. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-t-interval-means/v/conditions-for-inference-for-difference-of-means?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparing P value to significance level for test involving difference of proportions | Khan Academy thumb=https://i.ytimg.com/vi/Y650kaYNlJU/default.jpg URL=http://www.youtube.com/watch?v=Y650kaYNlJU description=Comparing P value to significance level for test involving difference of proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-test-proportions/v/p-value-conclusions-difference-proportions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Confidence interval for hypothesis test for difference in proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/-VZUijm02h0/default.jpg URL=http://www.youtube.com/watch?v=-VZUijm02h0 description=Confidence interval for hypothesis test for difference in proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-test-proportions/v/confidence-interval-for-hypothesis-test-for-difference-in-proportions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Hypothesis test for difference in proportions example | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/HOyNEU94xJQ/default.jpg URL=http://www.youtube.com/watch?v=HOyNEU94xJQ description=Hypothesis test for difference in proportions example. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-test-proportions/v/hypothesis-test-for-difference-in-proportions-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constructing hypotheses for two proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/NCENjXTMp9I/default.jpg URL=http://www.youtube.com/watch?v=NCENjXTMp9I description=Constructing hypotheses for two proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-test-proportions/v/constructing-hypotheses-for-two-proportions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Hypothesis test for difference in proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/7iTWX8bfBv0/default.jpg URL=http://www.youtube.com/watch?v=7iTWX8bfBv0 description=Hypothesis test for difference in proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-test-proportions/v/hypothesis-test-for-difference-in-proportions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Law of conservation of energy | Work and energy | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/HR5iEX3Sy1k/default.jpg URL=http://www.youtube.com/watch?v=HR5iEX3Sy1k description=Sal discusses how energy can't be created or destroyed in an isolated system, and works an example of how energy is transformed when a ball falls toward the Earth. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-work-and-energy/conservation-of-energy-ap/v/law-of-conservation-of-energy?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Breaking down forces for free body diagrams | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/KYz6HH9wZ8g/default.jpg URL=http://www.youtube.com/watch?v=KYz6HH9wZ8g description=Sal explains how to draw free body diagrams when forces are applied at an angle. How to find horizontal and vertical components of an angled force using trigonometry. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-forces-newtons-laws/angled-forces-ap/v/breaking-down-forces-for-free-body-diagrams?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Free body diagram with angled forces: worked example | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/rn_C25fPOVw/default.jpg URL=http://www.youtube.com/watch?v=rn_C25fPOVw description=Sal draws a free body diagram for a box held stationary against a wall with a force at an angle theta. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-forces-newtons-laws/angled-forces-ap/v/free-body-diagram-with-angled-forces-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Open primaries, closed primaries, and blanket primaries | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/YyXlrRMFUJw/default.jpg URL=http://www.youtube.com/watch?v=YyXlrRMFUJw description=Open primaries, closed primaries and blanket primaries. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/electing-a-president/v/open-primaries-closed-primaries-and-blanket-primaries?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The presidential incumbency advantage | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/Rk-EtuESRm4/default.jpg URL=http://www.youtube.com/watch?v=Rk-EtuESRm4 description=Incumbency advantage phenomenon. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/electing-a-president/v/incumbency-advantage-phenomenon?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example: Intersection of sine and cosine | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/08zHioOVTd4/default.jpg URL=http://www.youtube.com/watch?v=08zHioOVTd4 description=Thinking about where the graphs of sin and cos intersect. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs_of_sine_and_cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/example-amplitude-and-period-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-graph-of-cosine-function?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the 100th term in a sequence | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/C5titprQAc4/default.jpg URL=http://www.youtube.com/watch?v=C5titprQAc4 description=Finding the 100th Term in a Sequence Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/e/arithmetic_sequences_2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/equations-of-sequence-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/arithmetic-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile motion graphs | Two-dimensional motion | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/3WVVbCUNPHY/default.jpg URL=http://www.youtube.com/watch?v=3WVVbCUNPHY description=Visualizing position, velocity and acceleration in two-dimensions for projectile motion. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-two-dimensional-motion/graphs-of-projectile-motion-ap/v/projectile-motion-graphs?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Monetary policy tools | Financial sector | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/C8Eb4-Wz27A/default.jpg URL=http://www.youtube.com/watch?v=C8Eb4-Wz27A description=How central banks can use open market operations and reserve requirements to enact monetary policy to close output gaps. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.khanacademy.org/devadmin/content?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro#x00000000-x5ca94af1-xbec2583b4d89c173-x98f0eaae1ef9fa55-Topic:xbb3c6fca89419c3f. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/monetary-policy-apmacro/v/monetary-policy-tools-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Evolution of political parties in picking candidates and voter mobilization | Khan Academy thumb=https://i.ytimg.com/vi/-hK1p6Ymbhw/default.jpg URL=http://www.youtube.com/watch?v=-hK1p6Ymbhw description=Evolution of political parties in picking candidates and voter mobilization. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/how-and-why-political-parties-change-and-adapt/v/evolution-of-political-parties-in-picking-candidates-and-voter-mobilization?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Linkage institutions and political parties | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/vA3o-lTreKM/default.jpg URL=http://www.youtube.com/watch?v=vA3o-lTreKM description=Linkage institutions: elections, media, interest groups and political parties. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/political-parties/v/linkage-institutions-and-political-parties?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Voter turnout | Political participation | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/You0q4JJzS4/default.jpg URL=http://www.youtube.com/watch?v=You0q4JJzS4 description=How political efficacy, engagement and state laws can impact voter turnout. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/voter-turnout/v/voter-turnout?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Models of voting behavior | Political participation | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/alqGXue7Ca8/default.jpg URL=http://www.youtube.com/watch?v=alqGXue7Ca8 description=Models of voting behavior: party-line voting, rational choice, retrospective voting and prospective voting. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/political-participation/voting-rights-and-models-of-voter-behavior/v/models-of-voting-behavior?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Demand curve for money in the money market | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Zt1Esq-qOZM/default.jpg URL=http://www.youtube.com/watch?v=Zt1Esq-qOZM description=Why do people hold wealth in the form of money, rather than in some other interest-earning asset? Learn about the demand for money in this video. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/costs-of-inflation/v/winners-and-losers-from-inflation-and-deflation-ap-macroeconomics-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/the-money-market-apmacro/v/demand-curve-for-money-in-the-money-market-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Equilibrium nominal interest rates in the money market | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/NMb3bguJ7wY/default.jpg URL=http://www.youtube.com/watch?v=NMb3bguJ7wY description=How are nominal real interest rates determined? In the money market! Learn about the money market in this video. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics-staging/financial-sector/the-money-market-apmacro?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/the-money-market-apmacro/v/equilibrium-nominal-interest-rates-in-the-money-market-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating a confidence interval for the difference of proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/h_ZIMHgKTP0/default.jpg URL=http://www.youtube.com/watch?v=h_ZIMHgKTP0 description=Calculating two-sample z interval to estimate the difference between two population proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-interval-proportions/v/calculating-two-sample-z-interval-confidence-interval-for-difference-of-proportions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Examples identifying conditions for inference on two proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/DR5ZytN7Pj0/default.jpg URL=http://www.youtube.com/watch?v=DR5ZytN7Pj0 description=Examples identifying conditions for confidence intervals and tests about two proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-interval-proportions/v/examples-identifying-conditions-for-two-sample-z-tests-and-z-intervals?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Confidence intervals for the difference between two proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hcUxFwUjCxM/default.jpg URL=http://www.youtube.com/watch?v=hcUxFwUjCxM description=Introducing two-sample z intervals to estimate the difference between two population proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/two-sample-inference/two-sample-z-interval-proportions/v/confidence-intervals-for-the-difference-between-two-proportions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=American attitudes about government and politics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/VmFX6AIzllE/default.jpg URL=http://www.youtube.com/watch?v=VmFX6AIzllE description=Core beliefs around the role of government in the US. Discussion of quotes by Ronald Reagan, FDR, Barack Obama and Milton Friedman. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/american-political-beliefs-and-behaviors/american-attitudes-about-government-and-politics/v/core-beliefs-around-the-role-of-government-in-the-us?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Judicial activism and judicial restraint | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/uIjSx1c1HKQ/default.jpg URL=http://www.youtube.com/watch?v=uIjSx1c1HKQ description=Using Baker v. Carr to discuss judicial activism versus judicial restraint. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/checks-on-the-judicial-branch/v/judicial-activism-vs-judicial-restraint?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Automatic stabilizers | National income and price determination | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/jAjU3cR99p0/default.jpg URL=http://www.youtube.com/watch?v=jAjU3cR99p0 description=In addition to discretionary fiscal policy, there are policies and institutions that can help reduce swings in the business cycle. This video discusses the role of automatic stabilizers in the business cycle. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/national-income-and-price-determinations/automatic-stabilizers-ap/v/automatic-stabilizers-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Discretionary and rulemaking authority of the federal bureaucracy | Khan Academy thumb=https://i.ytimg.com/vi/OoaKKd7T7Os/default.jpg URL=http://www.youtube.com/watch?v=OoaKKd7T7Os description=Using Title IX as an example of how the federal bureaucracy has rule making and discretionary authority as it implements laws. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/discretionary-and-rule-making-authority/v/discretionary-rule-making-authority-of-the-federal-bureaucracy?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Average velocity and speed worked example | One-dimensional motion | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/Dzw2nLd7DFw/default.jpg URL=http://www.youtube.com/watch?v=Dzw2nLd7DFw description=Sal solves a word problem to find average velocity and speed of an object in one-dimension. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/average-velocity-and-speed/v/average-velocity-and-speed-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Another average velocity and speed example thumb=https://i.ytimg.com/vi/wHihAqfXvJ0/default.jpg URL=http://www.youtube.com/watch?v=wHihAqfXvJ0 description=Another average velocity and speed example/description type=video name=Money creation in a fractional reserve system | Financial sector | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/gd8B-zrMSYk/default.jpg URL=http://www.youtube.com/watch?v=gd8B-zrMSYk description=Most people assume that the government prints money, and that is how money is created. That is not entirely true. Watch this video to find out the role that banks play in the creation of the money supply. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/banking-and-the-expansion-of-the-money-supply-ap/v/money-creation-in-a-fractional-reserve-system-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to the federal bureaucracy | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/M4Q0kl5sH7I/default.jpg URL=http://www.youtube.com/watch?v=M4Q0kl5sH7I description=Introduction to the federal bureaucracy. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/the-bureaucracy/v/introduction-to-the-federal-bureaucracy?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Iron triangles and issue networks | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/sYuUQHa2I88/default.jpg URL=http://www.youtube.com/watch?v=sYuUQHa2I88 description=Iron triangles and issue networks. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/the-bureaucracy/v/iron-triangles-and-issue-networks?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Congressional oversight of the bureaucracy | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/wqclfPKJEbA/default.jpg URL=http://www.youtube.com/watch?v=wqclfPKJEbA description=Congressional oversight over the executive branch through committee hearings and power of the purse. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/discretionary-and-rule-making-authority/v/congressional-oversight-of-bureaucracy?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Executive and legislative disagreements with the Supreme Court | Khan Academy thumb=https://i.ytimg.com/vi/CrnyDEwYNxE/default.jpg URL=http://www.youtube.com/watch?v=CrnyDEwYNxE description=Examples of Thomas Jefferson, Abraham Lincoln and Franklin Roosevelt disagreeing with the United States Supreme Court. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/checks-on-the-judicial-branch/v/executive-and-legislative-disagreements-with-supreme-court?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The president's bully pulpit | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/ceZoaInLVpY/default.jpg URL=http://www.youtube.com/watch?v=ceZoaInLVpY description=What the "bully pulpit" is and how the State of the Union and mass media has enhanced the president's ability to directly influence opinion. Reagan footage from Reagan Presidential Library. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/presidential-communication/v/presidents-bully-pulpit?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Expansion of presidential power | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/wL76BRa1EQ0/default.jpg URL=http://www.youtube.com/watch?v=wL76BRa1EQ0 description=From Federalist No. 70 to the 22nd Amendment and Arthur Schlesinger's "Imperial Presidency," a discussion of expansion and checks on presidential power. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/expansion-of-presidential-power/v/expansion-of-presidential-power-video?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Senate checks on presidential appointments | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/Dnf4M3PU6Qc/default.jpg URL=http://www.youtube.com/watch?v=Dnf4M3PU6Qc description=Senate checks on presidential appointments. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/checks-on-the-presidency/v/senate-checks-on-presidential-appointments?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Divided government and gridlock in the United States | Khan Academy thumb=https://i.ytimg.com/vi/TYrxaQ5m7m0/default.jpg URL=http://www.youtube.com/watch?v=TYrxaQ5m7m0 description=Divided government and gridlock in the United States. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/congressional-behavior/v/divided-government-and-gridlock-in-the-united-states?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to lipids | Biology foundations | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/HGg_WiaSr4U/default.jpg URL=http://www.youtube.com/watch?v=HGg_WiaSr4U description=Introduction to lipids like fats and phospholipids. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biological-macromolecules/v/introduction-to-lipids?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to nucleic acids and nucleotides | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/hI4v7v8AdfI/default.jpg URL=http://www.youtube.com/watch?v=hI4v7v8AdfI description=Introduction to nucleic acids (e.g., DNA and RNA) and nucleotides. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biological-macromolecules/v/introduction-to-nucleic-acids-and-nucleotides?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to carbohydrates | Biology foundations | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/6o4WL5jlpn0/default.jpg URL=http://www.youtube.com/watch?v=6o4WL5jlpn0 description=Introduction to carbohydrates (saccharides). Monomers and polymers. Glucose and glycogen. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biological-macromolecules/v/introduction-to-carbohydrates?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to proteins and amino acids | Biology foundations | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/78QUeXVKiJ4/default.jpg URL=http://www.youtube.com/watch?v=78QUeXVKiJ4 description=Introduction to proteins as polymers of amino acids (monomers). View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biological-macromolecules/v/introduction-to-proteins-and-amino-acids?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Fiscal policy to address output gaps | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/qgxapLrA_NM/default.jpg URL=http://www.youtube.com/watch?v=qgxapLrA_NM description=Fiscal policy can be used to close output gaps. Fiscal policy means using either taxes or government spending to stabilize the economy. Expansionary fiscal policy can close recessionary gaps (using either decreased taxes or increased spending) and contractionary fiscal policy can close inflationary gaps (using either increased taxes or decreased spending). AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/national-income-and-price-determinations/fiscal-policy-ap/v/fiscal-policy-to-address-output-gaps-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating change in spending or taxes to close output gaps | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/f5o5LpUcxVk/default.jpg URL=http://www.youtube.com/watch?v=f5o5LpUcxVk description=Calculating change in spending or taxes to close output gaps. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/national-income-and-price-determinations/fiscal-policy-ap/v/calculating-change-in-spending-or-taxes-to-close-output-gaps?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How to calculate interquartile range IQR | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/qLYYHWYr8xI/default.jpg URL=http://www.youtube.com/watch?v=qLYYHWYr8xI description=Learn how to calculate the interquartile range, which is a measure of the spread of data in a data set. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/e/calculating-the-interquartile-range--iqr-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/interpreting-box-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long run self adjustment | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/eic0CC-1d9E/default.jpg URL=http://www.youtube.com/watch?v=eic0CC-1d9E description=A demand shock has a short-run effect on an output and unemployment, but in the long run only the price level will be impacted. If there is an increase in aggregate demand, the price level will go up. Once wages have adjusted to that inflation in the long run, SRAS decreases and returns the economy to full employment output. Shocks do not cause economic growth, only changes in full employment output cause economic growth. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/national-income-and-price-determinations/long-run-self-adjustment-ap/v/long-run-self-adjustment-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Short run and long run equilibrium and the business cycle | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/dD_9KBz3pN0/default.jpg URL=http://www.youtube.com/watch?v=dD_9KBz3pN0 description=The interaction of SRAS and AD determine national income. We can compare that national income to the full employment national income to determine the current phase of the business cycle. An economy is said to be in long-run equilibrium if the short-run equilibrium output is equal to the full employment output. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/national-income-and-price-determinations/equilibrium-in-the-ad-as-model-ap/v/short-run-and-long-run-equilibrium-and-the-business-cycle-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Winners and losers from inflation and deflation | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/V41_kZuOE0w/default.jpg URL=http://www.youtube.com/watch?v=V41_kZuOE0w description=Unexpected inflation or deflation takes wealth away from one group and gives it to another group. This video talks about the winners and losers from inflation and deflation. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/costs-of-inflation/e/the-costs-of-inflation?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/real-vs-nominal-gdp/v/real-gdp-and-nominal-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth, and recessions are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/costs-of-inflation/v/winners-and-losers-from-inflation-and-deflation-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example question calculating CPI and inflation | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/_qpgzgkrB6A/default.jpg URL=http://www.youtube.com/watch?v=_qpgzgkrB6A description=This video provides a practice exercise calculating the CPI and inflation. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/price-indices-and-inflation/e/creating-a-cpi?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/costs-of-inflation/v/winners-and-losers-from-inflation-and-deflation-ap-macroeconomics-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/price-indices-and-inflation/v/example-question-calculating-cpi-and-inflation-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparing P-values to different significance levels | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/DQCF4kTXf9Q/default.jpg URL=http://www.youtube.com/watch?v=DQCF4kTXf9Q description=Example comparing P-values to different significance levels, and why it's important to set the significance level before a test. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/idea-significance-tests/v/comparing-p-value-diff-significance-levels?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Free response example: Significance test for a mean | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/8nCsnsD8Fnw/default.jpg URL=http://www.youtube.com/watch?v=8nCsnsD8Fnw description=AP Statistics free response on significance test for a mean. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/ap-statistics-free-response-on-significance-test-for-mean?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparing P-value from t statistic to significance level | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/I5WSC_iRtwE/default.jpg URL=http://www.youtube.com/watch?v=I5WSC_iRtwE description=Example showing how to compare the P-value to a significance level to make a conclusion in a t test. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/comparing-p-value-from-t-statistic-to-significance-level?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Using a table to estimate P-value from t statistic | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/z-HSsVARNnk/default.jpg URL=http://www.youtube.com/watch?v=z-HSsVARNnk description=Example of how to use a t table to estimate a P-value. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/calculating-p-value-from-t-statistic?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Using TI calculator for P-value from t statistic | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/M2P96TJMEaM/default.jpg URL=http://www.youtube.com/watch?v=M2P96TJMEaM description=Example of how to calculate P-value using the tcdf function on a TI calculator. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/using-ti-calculator-for-p-value-from-t-statistic?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditions for a z test about a proportion | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/5JlJ4Qfk8g4/default.jpg URL=http://www.youtube.com/watch?v=5JlJ4Qfk8g4 description=Examples showing how to check whether or not the conditions have been met for doing a z test about a proportion. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-z-test-proportion/v/conditions-for-a-z-test-about-a-proportion?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example calculating t statistic for a test about a mean | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/BJl9WA787-Q/default.jpg URL=http://www.youtube.com/watch?v=BJl9WA787-Q description=Example calculating t statistic for test about a mean. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/example-calculating-t-statistic-for-signficance-test?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=When to use z or t statistics in significance tests | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/-bhfcBvyWoc/default.jpg URL=http://www.youtube.com/watch?v=-bhfcBvyWoc description=When to use z or t statistics in significance tests. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/when-to-use-z-or-t-statistics-in-significance-tests?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditions for a t test about a mean | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/GtokpL4f32s/default.jpg URL=http://www.youtube.com/watch?v=GtokpL4f32s description=Example showing how to check which conditions have been met for a t test about a mean. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/conditions-t-test-mean?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Writing hypotheses for a significance test about a mean | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/89Dp9Xq4eaA/default.jpg URL=http://www.youtube.com/watch?v=89Dp9Xq4eaA description=Example of constructing hypotheses for a test about a mean. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-t-test-mean/v/writing-hypotheses-for-significance-test-about-means?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating a P-value given a z statistic | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/NNpv-n_Hbvc/default.jpg URL=http://www.youtube.com/watch?v=NNpv-n_Hbvc description=Example showing how to use a standard normal table to estimate a P-value. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-z-test-proportion/v/calculating-p-value-from-z-table?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Making conclusions in a test about a proportion | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/RcjZwZJO5qo/default.jpg URL=http://www.youtube.com/watch?v=RcjZwZJO5qo description=Example of how to make a conclusion in a test about a proportion. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-z-test-proportion/v/comparing-p-value-to-significance-level-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Significance test for a proportion free response example | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/sqRQSPwNE-4/default.jpg URL=http://www.youtube.com/watch?v=sqRQSPwNE-4 description=Carrying out every step of a significance test on a proportion. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-z-test-proportion/v/full-significance-test-example-from-ap-test?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating a z statistic in a test about a proportion | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/DfpFfIdwcIo/default.jpg URL=http://www.youtube.com/watch?v=DfpFfIdwcIo description=Calculating a z statistic in a one-sample z test about a proportion. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-z-test-proportion/v/calculating-a-z-statistic-in-a-significance-test?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Article VI of the Constitution | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/a6E5Sr9Ypcw/default.jpg URL=http://www.youtube.com/watch?v=a6E5Sr9Ypcw description=A deep dive into Article VI, which acts as the "glue" of the Constitution, holding together the new United States through a shared commitment to the Constitution's principles. In this video, Kim Kutz Elliott discusses Article VI with scholars Michael Ramsey and Kermit Roosevelt. To read more, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/article-vi-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Article V of the Constitution | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/DARUu2sJfqI/default.jpg URL=http://www.youtube.com/watch?v=DARUu2sJfqI description=A deep dive into Article V of the US Constitution, which establishes the amendment process. In this video, Kim Kutz Elliott discusses Article V with scholars Michael Rappaport and David Strauss. To read more, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/article-v-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Article IV of the Constitution | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/hKRada3AWII/default.jpg URL=http://www.youtube.com/watch?v=hKRada3AWII description=A deep dive into Article IV of the Constitution, which lays out how federalism, the system of shared governance between states and the federal government, works in practice. In this video, Kim Kutz Elliott discusses Article IV with scholars Gabriel Chin and Erin Hawley. To read more, visit the National Constitution Center’s Interactive Constitution. On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/relationship-between-states-and-the-federal-government/v/article-iv-of-the-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constructing hypotheses for a significance test about a proportion | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/8MJvK26PwSo/default.jpg URL=http://www.youtube.com/watch?v=8MJvK26PwSo description=Constructing hypotheses for a significance test about a proportion. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/one-sample-z-test-proportion/v/constructing-hypotheses-for-a-significance-test?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Gerrymandering | US government and civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/WfxBuwMGTts/default.jpg URL=http://www.youtube.com/watch?v=WfxBuwMGTts description=Gerrymandering and its history. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/congressional-behavior/v/gerrymandering?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Representatives as delegates, trustees, and politicos | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/j54aGQStW6I/default.jpg URL=http://www.youtube.com/watch?v=j54aGQStW6I description=Classifying different roles for members of Congress. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/congressional-behavior/v/representatives-as-delegates-trustees-and-politicos?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Tax multiplier, MPC, and MPS | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/UsJmBBtwzYY/default.jpg URL=http://www.youtube.com/watch?v=UsJmBBtwzYY description=The spending multiplier and tax multiplier will cause a $1 change in spending or taxes to lead to further changes in AD and aggregate output. The spending multiplier is always 1 greater than the tax multiplier because with taxes some of the initial impact of the tax is saved, which is not true of the spending multiplier. AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators, and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/national-income-and-price-determinations/multipliers-ap/v/tax-multiplier-mpc-and-mps-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Natural, cyclical, structural, and frictional unemployment rates | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/W9MuBVpEc78/default.jpg URL=http://www.youtube.com/watch?v=W9MuBVpEc78 description=Economists typically focus on three kinds of unemployment: cyclical, frictional, and structural. Learn about them, and how they relate to the business cycle, in this video. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/unemployment/e/calculating-the-unemployment-rate?utm_source=YT&utm_medium=Desc&utm_campaign=APMacro AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth, and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/unemployment/v/natural-cyclical-structural-and-frictional-unemployment-rates-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Limitations of GDP | Economic indicators and the business cycle | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/SXMhCO2vYcE/default.jpg URL=http://www.youtube.com/watch?v=SXMhCO2vYcE description=GDP is the most commonly used measure of output, but it leaves some things out. Learn about the limitations of GDP in this video. Practice this yourself on Khan Academy right now:https://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/limitations-of-gdp/e/limitations-of-gdp?utm_source=YT&utm_campaign=APMacro AP(R) Macroeconomics on Khan Academy: Macroeconomics is all about how an entire nationÕs performance is determined and improved over time. Learn how factors like unemployment, inflation, interest rates, economic growth, and recession are caused and how they affect individuals and society as a whole. We hit the traditional topics from an AP Macroeconomics course, including basic economic concepts, economic indicators and the business cycle, national income and price determination, the financial sector, the long-run consequences of stabilization policies, and international trade and finance. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/limitations-of-gdp/v/limitations-of-gdp-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Article III of the Constitution | US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/COVELT85zto/default.jpg URL=http://www.youtube.com/watch?v=COVELT85zto description=Article III of the Constitution establishes the judicial branch of the government, including the Supreme Court. In this video, Kim Kutz Elliott discusses Article III with scholars Richard Garnett and Jeffrey Rosen. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more about Article III, visit the National Constitution Center’s Interactive Constitution: https://constitutioncenter.org/interactive-constitution/articles/article-iii On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge./description type=video name=Article II of the Constitution | US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/H2vGXCVo-K0/default.jpg URL=http://www.youtube.com/watch?v=H2vGXCVo-K0 description=Article II of the US Constitution establishes the powers of the president. In this video, Kim Kutz Elliott discusses Article II with scholars Michael Gerhardt and Sai Prakash. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more of Article II, visit the National Constitution Center’s Interactive Constitution: https://constitutioncenter.org/interactive-constitution/articles/article-iI On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge./description type=video name=Article I of the Constitution | US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/CIFBjZU55so/default.jpg URL=http://www.youtube.com/watch?v=CIFBjZU55so description=Article I of the US Constitution describes the roles and powers of Congress. In this video, Kim Kutz Elliott discusses Article I with scholars Heather Gerken and Ilya Somin. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more of Article I, visit the National Constitution Center’s Interactive Constitution: https://constitutioncenter.org/interactive-constitution/articles/article-i On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge./description type=video name=The Preamble to the Constitution | US Government and Politics | Khan Academy thumb=https://i.ytimg.com/vi/V3tTnqznYwk/default.jpg URL=http://www.youtube.com/watch?v=V3tTnqznYwk description=Sal discusses the Preamble to the US Constitution with Jeffrey Rosen, President and CEO of the National Constitution Center. To learn more about US Government and Politics, visit Khan Academy at https://www.khanacademy.org/humanities/ap-us-government-and-politics To read more of the Preamble, visit the National Constitution Center’s Interactive Constitution: https://constitutioncenter.org/interactive-constitution/preamble On this site, leading scholars interact and explore the Constitution and its history. For each provision of the Constitution, experts from different political perspectives coauthor interpretive explanations when they agree and write separately when their opinions diverge./description type=video name=Expenditure approach to calculating GDP examples | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/s4W7LKK22_Q/default.jpg URL=http://www.youtube.com/watch?v=s4W7LKK22_Q description=Learn about how purchases of different things would impact GDP. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/21/v/expenditure-approach-to-calculating-gdp-examples-ap-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Impact of mutations on translation into amino acids | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/1Dk0_-fyyDI/default.jpg URL=http://www.youtube.com/watch?v=1Dk0_-fyyDI description=Using an amino acid translation table to understand the impact of point and frameshift mutations. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-molecular-genetics/hs-rna-and-protein-synthesis/v/impact-of-mutations-on-translation-into-amino-acids?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Meet Sean, a creator of AP Physics on Khan Academy | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/hz4J5Wzxv_A/default.jpg URL=http://www.youtube.com/watch?v=hz4J5Wzxv_A description=A physics teacher for seven years, Sean has taught AP Physics 1, AP Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is Khan AcademyÕs physics fellow, creating awesome new exercises and articles for AP Physics. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/ap-physics-foundations/v/meet-sean-a-creator-of-ap-physics-on-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Meet Kim, one of the creators of Khan Academy's AP US History lessons thumb=https://i.ytimg.com/vi/S5GLCJZaV1s/default.jpg URL=http://www.youtube.com/watch?v=S5GLCJZaV1s description=Kim earned her PhD in history at the University of North Carolina at Chapel Hill and taught US history at the college level for eight years. She has graded the AP US History exam in the past and is currently hard at work creating videos and exercises to help students master US history!/description type=video name=Examples thinking about power in significance tests | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/XnYUFgfbvm4/default.jpg URL=http://www.youtube.com/watch?v=XnYUFgfbvm4 description=Examples thinking about power in significance tests. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/error-probabilities-power/v/examples-thinking-about-power-in-significance-tests?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to power in significance tests | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/6_Cuz0QqRWc/default.jpg URL=http://www.youtube.com/watch?v=6_Cuz0QqRWc description=Introduction to power in significance tests. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/error-probabilities-power/v/introduction-to-power-in-significance-tests?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Examples identifying Type I and Type II errors | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/JNOWWJeZBTc/default.jpg URL=http://www.youtube.com/watch?v=JNOWWJeZBTc description=Examples identifying Type I and Type II errors. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/error-probabilities-power/v/examples-identifying-type-i-and-type-ii-errors?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to Type I and Type II errors | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Hdbbx7DIweQ/default.jpg URL=http://www.youtube.com/watch?v=Hdbbx7DIweQ description=Introduction to Type I and Type II errors in significance testing. Significance levels as the probability of making a Type I error. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/error-probabilities-power/v/introduction-to-type-i-and-type-ii-errors?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Estimating a P-value from a simulation | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hNDlqAYRDyg/default.jpg URL=http://www.youtube.com/watch?v=hNDlqAYRDyg description=Example of estimating a P-value based on a simulation to approximate a sampling distribution assuming the null hypothesis is true. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/idea-significance-tests/v/estimating-p-value-from-simulation?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=P-values and significance tests | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/KS6KEWaoOOE/default.jpg URL=http://www.youtube.com/watch?v=KS6KEWaoOOE description=Learn how to compare a P-value to a significance level to make a conclusion in a significance test. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/idea-significance-tests/v/p-values-and-significance-tests?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Examples of null and alternative hypotheses | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/_3_6wjycJdk/default.jpg URL=http://www.youtube.com/watch?v=_3_6wjycJdk description=Examples of how to write null and alternative hypotheses. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/tests-significance-ap/idea-significance-tests/v/examples-of-null-and-alternative-hypotheses?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Diagramming how a bill becomes a law in the U.S. thumb=https://i.ytimg.com/vi/TnhoIJIGnLs/default.jpg URL=http://www.youtube.com/watch?v=TnhoIJIGnLs description=Diagramming how a bill becomes a law./description type=video name=Senate filibusters and cloture thumb=https://i.ytimg.com/vi/JdNlpY7ImOg/default.jpg URL=http://www.youtube.com/watch?v=JdNlpY7ImOg description=Senate filibusters and cloture/description type=video name=Introduction to circuits and Ohm's law | Circuits | Physics | Khan Academy thumb=https://i.ytimg.com/vi/F_vLWkkOETI/default.jpg URL=http://www.youtube.com/watch?v=F_vLWkkOETI description=Introduction to electricity, circuits, current, and resistance. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/circuits-topic/circuits-resistance/v/circuits-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/electric-potential-voltage/v/electric-potential-at-a-point-in-space?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to recognize relative and absolute maxima and minima | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xmrhZ5ySaD0/default.jpg URL=http://www.youtube.com/watch?v=xmrhZ5ySaD0 description=Sal gives multiple examples where he identifies relative maximum points, relative minimum points, absolute maximum points, and absolute minimum points. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/maximum-and-minimum-points/e/recognize-maxima-and-minima?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/positive-negative-increasing-decreasing-intervals/v/increasing-decreasing-positive-and-negative-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/maximum-and-minimum-points/v/relative-minima-maxima?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Arteries vs. veins-what's the difference? | Circulatory system physiology | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/lXkfZYlnwl4/default.jpg URL=http://www.youtube.com/watch?v=lXkfZYlnwl4 description=Learn some important differences between arteries (high pressure/low volume) and veins (low pressure/high volume). Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/nclex-rn-circulatory-system/rn-circulatory-system/v/resistance-in-a-tube?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/nclex-rn-circulatory-system/rn-circulatory-system/v/layers-of-a-blood-vessel?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relative maxima and minima worked example thumb=https://i.ytimg.com/vi/X2jbBgxKvwk/default.jpg URL=http://www.youtube.com/watch?v=X2jbBgxKvwk type=video name=Presidential signing statements | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/-OsBdrZglMU/default.jpg URL=http://www.youtube.com/watch?v=-OsBdrZglMU description=An introduction to the informal power of presidential signing statements. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/roles-and-powers-of-the-president/v/presidential-signing-statements?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Formal and informal powers of the US president | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/TG63zz1AFjc/default.jpg URL=http://www.youtube.com/watch?v=TG63zz1AFjc description=Formal and informal powers of the US president. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/roles-and-powers-of-the-president/v/formal-and-informal-powers-of-the-us-president?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Earmarks, pork barrel projects and logrolling | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/soNO1iflers/default.jpg URL=http://www.youtube.com/watch?v=soNO1iflers description=Earmarks, pork barrel projects and logrolling. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/structures-powers-and-functions-of-congress/v/earmarks-pork-barrel-projects-and-logrolling?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Discretionary and mandatory outlays of the US federal government | Khan Academy thumb=https://i.ytimg.com/vi/bvmezdvui9Y/default.jpg URL=http://www.youtube.com/watch?v=bvmezdvui9Y description=Discretionary and mandatory outlays of the US federal government. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/structures-powers-and-functions-of-congress/v/discretionary-and-mandatory-outlays-of-the-us-federal-government?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The House of Representatives in comparison to the Senate | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/zedtd7XCiMI/default.jpg URL=http://www.youtube.com/watch?v=zedtd7XCiMI description=Not only do revenue legislation and impeachment proceeding start in the House, but the House is also more more hierarchical and efficient than the Senate. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/structures-powers-and-functions-of-congress/v/the-house-of-represenatives-in-comparison-to-the-senate?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How a bill becomes a law | US government and civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/B45S0K_tQKA/default.jpg URL=http://www.youtube.com/watch?v=B45S0K_tQKA description=How a bill becomes a law in the US Congress. Focus on the role of committees. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/interactions-among-branches-of-government/structures-powers-and-functions-of-congress/v/how-a-bill-becomes-a-law?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to the public policy process | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/ipm5Bk10Fio/default.jpg URL=http://www.youtube.com/watch?v=ipm5Bk10Fio description=What are the stages of making policy in the United States? View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/federalism-in-action/v/introduction-to-the-public-policy-process?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sample size for a given margin of error for a mean | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/FSVDJoHZ3rM/default.jpg URL=http://www.youtube.com/watch?v=FSVDJoHZ3rM description=Calculate the approximate sample size required to obtain a desired margin of error in a confidence interval for a mean. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-t-interval-mean/v/sample-size-for-a-given-margin-of-error-for-a-mean?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Confidence interval for a mean with paired data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/gWaA8mVBZQk/default.jpg URL=http://www.youtube.com/watch?v=gWaA8mVBZQk description=Confidence interval for a mean difference with paired data. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-t-interval-mean/v/confidence-interval-for-a-mean-difference?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example constructing a t interval for a mean | Confidence intervals | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/6G3jMjAqNqM/default.jpg URL=http://www.youtube.com/watch?v=6G3jMjAqNqM description=Example showing how to calculate a one-sample t interval for a mean. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-t-interval-mean/v/calculating-a-one-sample-t-interval-for-a-mean?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditions for valid t intervals | Confidence intervals | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/WPxnNjD_yoU/default.jpg URL=http://www.youtube.com/watch?v=WPxnNjD_yoU description=Examples showing how to determine if the conditions have been met for making a t interval to estimate a mean. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-t-interval-mean/v/conditions-for-valid-t-intervals?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example finding critical t value thumb=https://i.ytimg.com/vi/KIs7-Fw03dM/default.jpg URL=http://www.youtube.com/watch?v=KIs7-Fw03dM description=Example finding critical t value/description type=video name=Simulation showing value of t statistic | Confidence intervals | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/gLE6y_NwmhQ/default.jpg URL=http://www.youtube.com/watch?v=gLE6y_NwmhQ description=See why we use t statistics when building confidence intervals for a mean using the sample standard deviation in place of the population standard deviation. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-t-interval-mean/v/simulation-showing-value-of-t-statistic?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to t statistics | Confidence intervals | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/a2rd4Qy8yNI/default.jpg URL=http://www.youtube.com/watch?v=a2rd4Qy8yNI description=An introduction to why we use t statistics. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-t-interval-mean/v/introduction-to-t-statistics?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Determining sample size based on confidence and margin of error | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VyFs7fsWE6w/default.jpg URL=http://www.youtube.com/watch?v=VyFs7fsWE6w description=Determining sample size based on confidence level and margin of error. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-z-interval-proportion/v/determining-sample-size-based-on-confidence-and-margin-of-error?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example constructing and interpreting a confidence interval for p | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/sjG9Ns_8x6c/default.jpg URL=http://www.youtube.com/watch?v=sjG9Ns_8x6c description=Check conditions, calculate, and interpret a confidence interval to estimate a population proportion. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-z-interval-proportion/v/example-calculating-confidence-interval?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sample statistic bias worked example | Sampling distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/SRwMfEmKx3A/default.jpg URL=http://www.youtube.com/watch?v=SRwMfEmKx3A description=Determining bias of sample statistics based on approximate sampling distributions example. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/what-is-sampling-distribution/v/sample-statistic-bias-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Critical value (z*) for a given confidence level | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VILsYH84HJE/default.jpg URL=http://www.youtube.com/watch?v=VILsYH84HJE description=Critical value (z*) for a given confidence level. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-z-interval-proportion/v/critical-value-for-a-given-confidence-level?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditions for confidence intervals worked examples | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/PwMqupyG4D0/default.jpg URL=http://www.youtube.com/watch?v=PwMqupyG4D0 description=Conditions for confidence intervals worked examples--random condition, independence condition and normal condition. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-z-interval-proportion/v/conditions-for-confidence-intervals-worked-examples?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting confidence level example | Confidence intervals | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/XZAGtQt-lQo/default.jpg URL=http://www.youtube.com/watch?v=XZAGtQt-lQo description=Interpreting confidence level example. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/introduction-confidence-intervals/v/interpreting-confidence-intervals-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditions for valid confidence intervals | Confidence intervals | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/8E8YQY5qE3s/default.jpg URL=http://www.youtube.com/watch?v=8E8YQY5qE3s description=Conditions for valid confidence intervals. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/one-sample-z-interval-proportion/v/conditions-for-valid-confidence-intervals?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Confidence intervals and margin of error | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hlM7zdf7zwU/default.jpg URL=http://www.youtube.com/watch?v=hlM7zdf7zwU description=Confidence intervals and margin of error. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/introduction-confidence-intervals/v/confidence-intervals-and-margin-of-error?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Confidence interval simulation | Confidence intervals | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/bGALoCckICI/default.jpg URL=http://www.youtube.com/watch?v=bGALoCckICI description=Confidence interval simulation. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/estimating-confidence-ap/introduction-confidence-intervals/v/confidence-interval-simulation?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Scarcity of resources thumb=https://i.ytimg.com/vi/VVcTxxT3IJU/default.jpg URL=http://www.youtube.com/watch?v=VVcTxxT3IJU description=Scarcity of resources and the categories of scarce resources-land, labor, capital and entrepreneurship./description type=video name=Production Possibilities Curve as a model of a country's economy | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/9zZY6RfN6iA/default.jpg URL=http://www.youtube.com/watch?v=9zZY6RfN6iA description=In this video Sal explains how the production possibilities curve model can be used to illustrate changes in a country's actual and potential level of output. Concepts covered include efficiency, inefficiency, economic growth and contraction and recession. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/production-possibilities-curve-scarcity-choice-and-opportunity-cost-macro/v/production-possibilities-curve?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Difference of functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/6arI8XhLZ9o/default.jpg URL=http://www.youtube.com/watch?v=6arI8XhLZ9o description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/e/functions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/product-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/sum-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of the derivative of sin(x) | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/HVvCbnrUxek/default.jpg URL=http://www.youtube.com/watch?v=HVvCbnrUxek description=Proving that the derivative of sin(x) is cos(x). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/derivative-of-cos-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/1-cosx-over-x-as-x-approaches-0?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and he’s part of the teaching team that helped develop Khan Academy’s AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Endocrine system introduction thumb=https://i.ytimg.com/vi/nCwRX7seya0/default.jpg URL=http://www.youtube.com/watch?v=nCwRX7seya0 description=Introduction to the endocrine system and hormones/description type=video name=Human fertilization and early development | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/-7WKUNG9v-w/default.jpg URL=http://www.youtube.com/watch?v=-7WKUNG9v-w description=Overview of fertilization and early human development. From conception leading to a zygote to blastocyst, embryo and fetus. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-reproduction-and-cell-division/hs-fertilization-and-development/v/human-fertilization-and-early-development?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=United States v. Lopez | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/hDk9Qx8Po3M/default.jpg URL=http://www.youtube.com/watch?v=hDk9Qx8Po3M description=A recent case (1995) in which the US Supreme Court limited a very broad interpretation of the Commerce Clause. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/constitutional-interpretations-of-federalism/v/unites-states-v-lopez?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=McCulloch v. Maryland | Foundations of American democracy | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/i5qQM7Mc2ho/default.jpg URL=http://www.youtube.com/watch?v=i5qQM7Mc2ho description=The landmark Supreme Court case that established strong implied powers for the federal government. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/constitutional-interpretations-of-federalism/v/mcculloch-vs-maryland?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Federal and state powers and the Tenth and Fourteenth Amendments | Khan Academy thumb=https://i.ytimg.com/vi/Gvp_2CL-uR8/default.jpg URL=http://www.youtube.com/watch?v=Gvp_2CL-uR8 description=Federal and state powers and the 10th and 14th amendments. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/constitutional-interpretations-of-federalism/v/federal-and-state-powers-and-the-10th-and-14th-amendments?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The 10th and 14th Amendments in relation to federal and state powers thumb=https://i.ytimg.com/vi/QvrD-BmMU4A/default.jpg URL=http://www.youtube.com/watch?v=QvrD-BmMU4A description=Federal and State powers and the 10th and 14th Amendments/description type=video name=Enumerated and implied powers of the US federal government | Khan Academy thumb=https://i.ytimg.com/vi/eqEw_9_sLVk/default.jpg URL=http://www.youtube.com/watch?v=eqEw_9_sLVk description=Enumerated and implied powers of the US federal government with a focus on the Commerce Clause and the Necessary and Proper Clause of the US Constitution. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/constitutional-interpretations-of-federalism/v/enumerated-and-implied-powers-of-the-us-federal-government?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Federalism in the United States | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/y6tljCXVSdc/default.jpg URL=http://www.youtube.com/watch?v=y6tljCXVSdc description=Federalism in the United States. Exclusive and concurrent federal and state powers. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/relationship-between-states-and-the-federal-government/v/federalism-in-the-united-states?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Multiple points of influence due to separation of powers and checks and balances | Khan Academy thumb=https://i.ytimg.com/vi/oXVAzyKswPw/default.jpg URL=http://www.youtube.com/watch?v=oXVAzyKswPw description=Multiple points of influence due to separation of powers and checks and balances. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/principles-of-american-government/v/multiple-points-of-influence-due-to-separation-of-powers-and-checks-and-balances?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Impeachment | Foundations of American democracy | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/S0Ru5MOvfCU/default.jpg URL=http://www.youtube.com/watch?v=S0Ru5MOvfCU description=Overview of what Impeachment is and how it works in the United States. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/principles-of-american-government/v/impeachment?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Separation of Powers and Checks and Balances thumb=https://i.ytimg.com/vi/APcKEHAPYEg/default.jpg URL=http://www.youtube.com/watch?v=APcKEHAPYEg description=Separation of Powers and Checks and Balances and Federalist 51/description type=video name=The impact of constitutional compromises on us today | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/2sFjcn9sMsc/default.jpg URL=http://www.youtube.com/watch?v=2sFjcn9sMsc description=Discussion of how the Great Compromise and Electoral College impact us today. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ratification-of-the-us-constitution/v/impact-of-constitutional-compromise-on-us-today?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to cilia, flagella and pseudopodia | Cells | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/E0D1H74PMmI/default.jpg URL=http://www.youtube.com/watch?v=E0D1H74PMmI description=Introduction to cilia, flagella and pseudopodia. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-cells/hs-basic-cell-structures/v/introduction-to-cilia-flagella-and-pseudopodia?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Organelles in eukaryotic cells | Cells | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/bWPQvxElpLY/default.jpg URL=http://www.youtube.com/watch?v=bWPQvxElpLY description=Overview of the nucleus, endoplasmic reticulum, Golgi bodies, vacuoles, mitochondria, chloroplasts and lysosomes. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-cells/hs-eukaryotic-cell-structures/v/organelles-in-eukaryotic-cells?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to the cell | Cells | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/5KfHxF6Vhps/default.jpg URL=http://www.youtube.com/watch?v=5KfHxF6Vhps description=Introduction to the cell. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-cells/hs-basic-cell-structures/v/introduction-to-the-cell?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to passive and active transport | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/TsoAA7zOyj8/default.jpg URL=http://www.youtube.com/watch?v=TsoAA7zOyj8 description=Introduction to passive and active transport. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-energy-and-transport/hs-passive-and-active-transport/v/introduction-to-passive-and-active-transport?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to pH | Biology foundations | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/oda2K4IFBaE/default.jpg URL=http://www.youtube.com/watch?v=oda2K4IFBaE description=Introduction to pH. Chart from Anatomy & Physiology, Connexions Web site. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-ph-acids-and-bases/v/introduction-to-ph?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to vitamins and minerals | Biology foundations | High school biology | Khan Academy thumb=https://i.ytimg.com/vi/TBNCqRCsSvY/default.jpg URL=http://www.youtube.com/watch?v=TBNCqRCsSvY description=Overview of common vitamins and minerals that are important to human health. View more lessons or practice this subject at https://www.khanacademy.org/science/high-school-biology/hs-biology-foundations/hs-biological-macromolecules/v/introduction-to-vitamins-and-minerals?utm_source=youtube&utm_medium=desc&utm_campaign=highschoolbiology Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Probability of sample proportions example | Sampling distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/BkRJJsHoRdw/default.jpg URL=http://www.youtube.com/watch?v=BkRJJsHoRdw description=Probability of sample proportions example. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/v/probability-of-sample-proportions-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Normal conditions for sampling distributions of sample proportions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/L7AX2RcbqCg/default.jpg URL=http://www.youtube.com/watch?v=L7AX2RcbqCg description=Conditions for roughly normal sampling distribution of sample proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/v/normal-conditions-for-sampling-distributions-of-sample-proportions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to sampling distributions | Sampling distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/z0Ry_3_qhDw/default.jpg URL=http://www.youtube.com/watch?v=z0Ry_3_qhDw description=Introduction to sampling distributions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/what-is-sampling-distribution/v/introduction-to-sampling-distributions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sampling distribution of sample proportion part 1 | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Br067hrasc8/default.jpg URL=http://www.youtube.com/watch?v=Br067hrasc8 description=Formulas for the mean and standard deviation of a sampling distribution of sample proportions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/v/sampling-distribution-of-sample-proportion-part-1?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sampling distribution of sample proportion part 2 | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ftYKMNfFcI8/default.jpg URL=http://www.youtube.com/watch?v=ftYKMNfFcI8 description=Building intuition for the sampling distribution of sample proportions using a simulation. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/v/sampling-distribution-of-sample-proportion-part-2?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Biased and unbiased estimators from sampling distributions examples thumb=https://i.ytimg.com/vi/PK8aeeVx3io/default.jpg URL=http://www.youtube.com/watch?v=PK8aeeVx3io description=Biased and unbiased estimators from sampling distributions examples/description type=video name=Give to Khan Academy today! thumb=https://i.ytimg.com/vi/Teo7hD0ADE0/default.jpg URL=http://www.youtube.com/watch?v=Teo7hD0ADE0 description=Give today: http://khan.co/DonateKA 💸❤️🙏 Khan Academy is a nonprofit that relies on support from people like you. We've made huge progress in 2017 toward our mission of a free, world-class education for anyone, anywhere. Help us reach even more learners in 2018 by donating today!/description type=video name=Introduction to sampling distributions thumb=https://i.ytimg.com/vi/5pU-PkFbBoU/default.jpg URL=http://www.youtube.com/watch?v=5pU-PkFbBoU description=Introduction to sampling distributions/description type=video name=10% Rule of assuming "independence" between trials | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/elcLysy7exM/default.jpg URL=http://www.youtube.com/watch?v=elcLysy7exM description=10% Rule of assuming "independence" between trials. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-random-variable/v/10-percent-rule-independence?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Identifying individuals, variables and categorical variables in a data set | Khan Academy thumb=https://i.ytimg.com/vi/EqeVXI4WNHM/default.jpg URL=http://www.youtube.com/watch?v=EqeVXI4WNHM description=Identifying individuals, variables and categorical variables in a data set. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/analyzing-one-categorical-variable/v/identifying-individuals-variables-and-categorical-variables-in-a-data-set?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to vertex form of a quadratic thumb=https://i.ytimg.com/vi/_QqhuLixNEk/default.jpg URL=http://www.youtube.com/watch?v=_QqhuLixNEk description=Introduction to vertex form of a quadratic/description type=video name=Democratic ideals in the preamble of the US Constitution thumb=https://i.ytimg.com/vi/vC07D-guWj0/default.jpg URL=http://www.youtube.com/watch?v=vC07D-guWj0 description=https://youtu.be/_27P6HZzXJM/description type=video name=Federalist No. 10 (part 2) | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/_27P6HZzXJM/default.jpg URL=http://www.youtube.com/watch?v=_27P6HZzXJM description=Part 2 of a close reading of excerpts of Federalist No. 10 where Madison makes the case that the type of large republic constructed by the Constitution of 1787 is favorable to any other form. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/government-power-and-individual-rights/v/federalist-papers-10-part-2?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Federalist No. 10 (part 1) | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/afRanGsRlOc/default.jpg URL=http://www.youtube.com/watch?v=afRanGsRlOc description=Part 1 of a close reading of excerpts of Federalist No. 10 where Madison makes the case that the type of large republic constructed by the Constitution of 1787 is favorable to any other form. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/government-power-and-individual-rights/v/federalist-papers-10-part-1?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting a quadratic in factored form thumb=https://i.ytimg.com/vi/xVZA6NOQA7A/default.jpg URL=http://www.youtube.com/watch?v=xVZA6NOQA7A description=Interpreting a quadratic in factored form/description type=video name=Anti-Federalists and Brutus No. 1 | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/YQ74W9OKSdA/default.jpg URL=http://www.youtube.com/watch?v=YQ74W9OKSdA description=Interpreting an excerpt of Brutus No. 1, the most well-known of what will be eventually called the "Anti-Federalist Papers," which argued against the ratification of the Constitution of 1787. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/government-power-and-individual-rights/v/anti-federalists-and-brutus-i?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to Democracy and its broad variations thumb=https://i.ytimg.com/vi/HbzvIrRdVY4/default.jpg URL=http://www.youtube.com/watch?v=HbzvIrRdVY4 description=Democracy can be viewed as "rule by the people", but what general forms does it take? Here we describe participatory democracies, pluralist democracies, and elite democracies and think about some of their potential benefits and negatives./description type=video name=The Articles of Confederation and Shays' Rebellion thumb=https://i.ytimg.com/vi/Y1CcSXmb1VY/default.jpg URL=http://www.youtube.com/watch?v=Y1CcSXmb1VY description=An introduction to the Articles of Confederation and its weaknesses. How Shays' Rebellion was one of the catalysts for the Constitutional Convention of 1787./description type=video name=Democratic ideals of US government thumb=https://i.ytimg.com/vi/QbuKqvFrjt8/default.jpg URL=http://www.youtube.com/watch?v=QbuKqvFrjt8 description=Ideas of natural rights, social contract, popular sovereignty, limited government and republicanism and their influence on the foundation of the United States of America./description type=video name=Democratic ideals in the Declaration of Independence thumb=https://i.ytimg.com/vi/wWy8ONwhdLQ/default.jpg URL=http://www.youtube.com/watch?v=wWy8ONwhdLQ description=Close readings of the beginnings of the Declaration of Independence to identify ideas of natural rights, social contract, limited government and popular sovereignty./description type=video name=Natural rights, social contract, democracy, republicanism and limited government thumb=https://i.ytimg.com/vi/RkPrgZtwi3g/default.jpg URL=http://www.youtube.com/watch?v=RkPrgZtwi3g description=An overview of terms from political philosophy that are useful in our study of U.S. government. These include: natural rights, social contract, democracy, republicanism and limited government./description type=video name=The social contract | Foundations of American democracy | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/fI1t0dY5zoc/default.jpg URL=http://www.youtube.com/watch?v=fI1t0dY5zoc description=Thomas Hobbes's Leviathan and the idea of a social contract. View more lessons or practice this subject at https://www.khanacademy.org/humanities/ap-us-government-and-politics/foundations-of-american-democracy/ideals-of-democracy/v/thomas-hobbes-and-social-contract?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constructing linear and exponential functions from graph | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/gFdh_rE2XgU/default.jpg URL=http://www.youtube.com/watch?v=gFdh_rE2XgU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/e/constructing-linear-and-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/word-problem-solving-exponential-growth-and-decay?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/constructing-linear-and-exponential-functions-from-data?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Value added approach to calculating GDP | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/9G7ZWwlR_tQ/default.jpg URL=http://www.youtube.com/watch?v=9G7ZWwlR_tQ description=In this video we learn how a nation's GDP can be calculated by summing up the value added by all the intermediate producers in a nation. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/economic-iondicators-and-the-business-cycle/21/v/value-added-approach-to-calculating-gdp-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Equilibrium price and quantity from changes in both supply and demand thumb=https://i.ytimg.com/vi/UQVwgC7MAHM/default.jpg URL=http://www.youtube.com/watch?v=UQVwgC7MAHM description=Equilibrium price and quantity from changes in both supply and demand/description type=video name=Changes in equilibrium price and quantity when supply and demand change | Khan Academy thumb=https://i.ytimg.com/vi/kl4n-EWwPyA/default.jpg URL=http://www.youtube.com/watch?v=kl4n-EWwPyA description=Previously we looked at what happens to the equilibrium price and quantity in a market if supply or demand changed. In this video, we explore what happens when BOTH supply and demand are changing at the same time. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/market-equilibrium-disequilibrium-and-changes-in-equilibrium/v/changes-in-equilibrium-price-and-quantity-when-supply-and-demand-change-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Change in supply versus change in quantity supplied | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/NrlF8mMHfLE/default.jpg URL=http://www.youtube.com/watch?v=NrlF8mMHfLE description=Change in supply versus change in quantity supplied. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/supply/v/change-in-supply-versus-change-in-quantity-supplied?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Change in demand versus change in quantity demanded | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/iC9hkhbIimA/default.jpg URL=http://www.youtube.com/watch?v=iC9hkhbIimA description=In this video we illustrate and explain the differences between a change in the quantity demanded for a good (which causes a movement along a demand curve) and the change in a good's demand (which causes the entire demand curve to shift). Microeconomics on Khan Academy: Microeconomics is all about how individual actors make decisions. Learn how supply and demand determine prices, how companies think about competition, and more! We hit the traditional topics from a college-level microeconomics course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademyÕs Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/demand/v/change-in-demand-versus-change-in-quantity-demanded-microeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Input approach to determining comparative advantage | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Uqf5c6Xcjr4/default.jpg URL=http://www.youtube.com/watch?v=Uqf5c6Xcjr4 description=In this video, we take a slightly different approach to determining comparative advantage because we are given data in a slightly different way. Rather than knowing how much of two goods can be produced in a day, we know how much of a resources (in this case labor) is needed to produce one unit of a good. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/scarcity-and-growth/v/input-approach-to-determining-comparative-advantage-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Production Possibilities Curve PPC as a model of a nation's output | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Ob07lcFcx_A/default.jpg URL=http://www.youtube.com/watch?v=Ob07lcFcx_A description=In this video we explore how we can show several concepts using the PPC: efficient production, recessions, and economic growth./description type=video name=Terms of Trade and the Gains from Trade | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/C-xLUS5JGIM/default.jpg URL=http://www.youtube.com/watch?v=C-xLUS5JGIM description=In this video, we explore how we can use opportunity costs to determine who has comparative advantage in producing a good. By specializing in the production of a good that a country has comparative advantage in, and trading for the other good, both countries have the potential to benefit from the exchange. We can also figure out a trading price (also known as the "terms of trade") which would make both countries willing to trade. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/scarcity-and-growth/v/terms-of-trade-and-the-gains-from-trade-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Identifying centripetal force for cars and satellites | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/FvsIDLrS2rI/default.jpg URL=http://www.youtube.com/watch?v=FvsIDLrS2rI description=Identifying forces or force components acting as the centripetal force for a car driving in a horizontal circle, a car driving in a vertical circle, and a satellite in orbit. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/centripetal-forces-ap/v/identifying-centripetal-force-for-cars-and-satellites?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Identifying centripetal force for ball on string | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/G9zt6-fIq9I/default.jpg URL=http://www.youtube.com/watch?v=G9zt6-fIq9I description=Identifying forces or force components acting as the centripetal force for a ball on a string moving in a horizontal circle. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/centripetal-forces-ap/v/identifying-centripetal-force-for-ball-on-string?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Identifying force vectors for pendulum: Worked example | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/6UPYPv3LXxk/default.jpg URL=http://www.youtube.com/watch?v=6UPYPv3LXxk description=A worked example finding all force vectors acting on a pendulum moving in a horizontal circle. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/centripetal-forces-ap/v/identifying-force-vectors-for-pendulum-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to centripetal force | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/e1l1NMLuUuY/default.jpg URL=http://www.youtube.com/watch?v=e1l1NMLuUuY description=Introduction to centripetal force, which accelerates an object toward the center of the circular path. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/centripetal-forces-ap/v/introduction-to-centripetal-force?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Change in centripetal acceleration from change in linear velocity and radius: Worked examples thumb=https://i.ytimg.com/vi/OtaIhafsDFI/default.jpg URL=http://www.youtube.com/watch?v=OtaIhafsDFI description=A worked example finding the change in centripetal acceleration from the change in linear speed, and an example finding the change in centripetal acceleration from the change in radius. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/centripetal-acceleration-ap/v/change-in-centripetal-acceleration-from-change-in-linear-velocity-and-radius-worked-examples?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Deriving formula for centripetal acceleration from angular velocity | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/HgkjS_XL840/default.jpg URL=http://www.youtube.com/watch?v=HgkjS_XL840 description=Deriving formula for centripetal acceleration in terms of angular velocity. using linear speed formula. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/centripetal-acceleration-ap/v/deriving-formula-for-centripetal-acceleration-from-angular-velocity?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Change in period and frequency from change in angular velocity: Worked examples | Khan Academy thumb=https://i.ytimg.com/vi/XWenUEW5MfE/default.jpg URL=http://www.youtube.com/watch?v=XWenUEW5MfE description=A worked example finding the change in the period from the change in angular velocity, and an example finding the change in frequency from the change in angular velocity. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/introduction-to-uniform-circular-motion-ap/v/change-in-period-and-frequency-from-change-in-angular-velocity-worked-examples?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Connecting period and frequency to angular velocity | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/xt9cwJ3bXjU/default.jpg URL=http://www.youtube.com/watch?v=xt9cwJ3bXjU description=Definition of period and frequency for an object moving in a circle. Connecting period and frequency to the magnitude of the angular velocity. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/introduction-to-uniform-circular-motion-ap/v/connecting-period-and-frequency-to-angular-velocity?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Visually dividing unit fraction by a whole number thumb=https://i.ytimg.com/vi/RygpFkLCSaM/default.jpg URL=http://www.youtube.com/watch?v=RygpFkLCSaM description=Visually dividing unit fraction by a whole number/description type=video name=Example diving a unit fraction by a whole number thumb=https://i.ytimg.com/vi/QsDMlHW826U/default.jpg URL=http://www.youtube.com/watch?v=QsDMlHW826U description=Example diving a unit fraction by a whole number/description type=video name=Visually dividing whole numbers by unit fractions thumb=https://i.ytimg.com/vi/0lsDqvH5mDs/default.jpg URL=http://www.youtube.com/watch?v=0lsDqvH5mDs description=Visually dividing whole numbers by unit fractions/description type=video name=Example dividing a whole by a unit fraction thumb=https://i.ytimg.com/vi/b26JxSoZvic/default.jpg URL=http://www.youtube.com/watch?v=b26JxSoZvic description=Example dividing a whole by a unit fraction/description type=video name=Visually dividing a fraction by a whole number thumb=https://i.ytimg.com/vi/1YWyTdtofdE/default.jpg URL=http://www.youtube.com/watch?v=1YWyTdtofdE description=Visually dividing a fraction by a whole number/description type=video name=Word problem subtracting fractions with like denominators thumb=https://i.ytimg.com/vi/9aD5Z_EMxos/default.jpg URL=http://www.youtube.com/watch?v=9aD5Z_EMxos description=Word problem subtracting fractions with like denominators/description type=video name=Adding tenths to hundredths thumb=https://i.ytimg.com/vi/D5yQESfE4Bw/default.jpg URL=http://www.youtube.com/watch?v=D5yQESfE4Bw description=Adding tenths to hundredths/description type=video name=Whole number divided by a fraction example thumb=https://i.ytimg.com/vi/SPMoNUAbV48/default.jpg URL=http://www.youtube.com/watch?v=SPMoNUAbV48 description=Whole number divided by a fraction example/description type=video name=Dividing mixed numbers example thumb=https://i.ytimg.com/vi/tj5AtYoKqvs/default.jpg URL=http://www.youtube.com/watch?v=tj5AtYoKqvs description=Dividing mixed numbers example/description type=video name=Opportunity cost and comparative advantage using an output table | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/K8p0F92gVUM/default.jpg URL=http://www.youtube.com/watch?v=K8p0F92gVUM description=In this video we use the PPCs for two different countries that each produce two goods in order to create an output table based on the data in the graph. We then use the output table to determine the opportunity costs of producing each good. Finally, we determine which country as comparative advantage in each good. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/scarcity-and-growth/v/opportunity-cost-and-comparative-advantage-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=PPCs for increasing, decreasing and constant opportunity cost | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/-aVZtzD44vI/default.jpg URL=http://www.youtube.com/watch?v=-aVZtzD44vI description=Production possibility curves for increasing, decreasing and constant opportunity cost. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/production-possibilities-curve-scarcity-choice-and-opportunity-cost-macro/v/ppcs-for-increasing-decreasing-and-constant-opportunity-cost?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Utility maximization example thumb=https://i.ytimg.com/vi/oC8bU0Tc_v8/default.jpg URL=http://www.youtube.com/watch?v=oC8bU0Tc_v8 description=Utility maximization example/description type=video name=Comparing proportionality constants thumb=https://i.ytimg.com/vi/4g5ZEGoYtOA/default.jpg URL=http://www.youtube.com/watch?v=4g5ZEGoYtOA description=Comparing proportionality constants/description type=video name=Interpret proportionality constants thumb=https://i.ytimg.com/vi/FXpJQXzoXwI/default.jpg URL=http://www.youtube.com/watch?v=FXpJQXzoXwI description=Interpret proportionality constants/description type=video name=Percent word problem examples thumb=https://i.ytimg.com/vi/e1Cd0XL5OEs/default.jpg URL=http://www.youtube.com/watch?v=e1Cd0XL5OEs description=Percent word problem examples/description type=video name=Proportional relationships example thumb=https://i.ytimg.com/vi/HEmwn5jmy2Y/default.jpg URL=http://www.youtube.com/watch?v=HEmwn5jmy2Y description=Proportional relationships example/description type=video name=Tax, discount and tip examples thumb=https://i.ytimg.com/vi/jb_RwR_Eso4/default.jpg URL=http://www.youtube.com/watch?v=jb_RwR_Eso4 description=Tax, discount and tip examples/description type=video name=Exploring scale copies thumb=https://i.ytimg.com/vi/z2E_GpucfeA/default.jpg URL=http://www.youtube.com/watch?v=z2E_GpucfeA description=Exploring scale copies/description type=video name=Proportionality constant from table thumb=https://i.ytimg.com/vi/5Ilo0pw3iL8/default.jpg URL=http://www.youtube.com/watch?v=5Ilo0pw3iL8 description=Proportionality constant from table/description type=video name=Constant of proportionality from equation thumb=https://i.ytimg.com/vi/wXtzBbU_cl8/default.jpg URL=http://www.youtube.com/watch?v=wXtzBbU_cl8 description=Constant of proportionality from equation/description type=video name=Identifying constant of proportionality graphically thumb=https://i.ytimg.com/vi/jihKUWH4Hfc/default.jpg URL=http://www.youtube.com/watch?v=jihKUWH4Hfc description=Identifying constant of proportionality graphically/description type=video name=Identifying values in scale drawings thumb=https://i.ytimg.com/vi/YCjc3uRTq7I/default.jpg URL=http://www.youtube.com/watch?v=YCjc3uRTq7I description=Identifying values in scale drawings/description type=video name=Scale factors and area thumb=https://i.ytimg.com/vi/h-qwno7n5F4/default.jpg URL=http://www.youtube.com/watch?v=h-qwno7n5F4 description=Scale factors and area/description type=video name=Identifying scale factors thumb=https://i.ytimg.com/vi/Z3SXp8jDbdU/default.jpg URL=http://www.youtube.com/watch?v=Z3SXp8jDbdU description=Identifying scale factors/description type=video name=Identifying scaled copies thumb=https://i.ytimg.com/vi/QBiTspq2Wck/default.jpg URL=http://www.youtube.com/watch?v=QBiTspq2Wck description=Identifying scaled copies/description type=video name=Corresponding points and sides of scaled shapes thumb=https://i.ytimg.com/vi/FeogTR_omiM/default.jpg URL=http://www.youtube.com/watch?v=FeogTR_omiM description=Corresponding points and sides of scaled shapes/description type=video name=Fraction decimal and percent from visual model thumb=https://i.ytimg.com/vi/wwg052FC_Zw/default.jpg URL=http://www.youtube.com/watch?v=wwg052FC_Zw description=Fraction decimal and percent from visual model/description type=video name=Rate problems thumb=https://i.ytimg.com/vi/fpjXtpg_isc/default.jpg URL=http://www.youtube.com/watch?v=fpjXtpg_isc type=video name=Relative position thumb=https://i.ytimg.com/vi/uikYPJw0tnE/default.jpg URL=http://www.youtube.com/watch?v=uikYPJw0tnE type=video name=Ratios and double number lines thumb=https://i.ytimg.com/vi/-Dg9da1BGsM/default.jpg URL=http://www.youtube.com/watch?v=-Dg9da1BGsM description=Ratios and double number lines/description type=video name=Ratios and measurement thumb=https://i.ytimg.com/vi/0qtIHdda19s/default.jpg URL=http://www.youtube.com/watch?v=0qtIHdda19s description=Ratios and measurement/description type=video name=Ratios with tape diagrams thumb=https://i.ytimg.com/vi/suRIY3ULrQo/default.jpg URL=http://www.youtube.com/watch?v=suRIY3ULrQo description=Ratios with tape diagrams/description type=video name=Ratios on coordinate plane thumb=https://i.ytimg.com/vi/yVYJRT5hTSo/default.jpg URL=http://www.youtube.com/watch?v=yVYJRT5hTSo description=Ratios on coordinate plane/description type=video name=Worked example: separable differential equation (with taking exp of both sides) | Khan Academy thumb=https://i.ytimg.com/vi/BvNKHUICHYw/default.jpg URL=http://www.youtube.com/watch?v=BvNKHUICHYw description=Solving the equation dy/dx=x_y. This involves an extra step of raising _ by both sides of the resulting x-y equation, in order to isolate y. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-separable-eq/e/separable-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-separable-eq/v/identifying-separable-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-separable-eq/v/separable-diff-eq-with-taking-log?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear velocity comparison from radius and angular velocity: Worked example | Khan Academy thumb=https://i.ytimg.com/vi/9b15JaTtFAc/default.jpg URL=http://www.youtube.com/watch?v=9b15JaTtFAc description=Linear velocity from the radius and angular velocity for two pumpkin catapults with different arm lengths. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/introduction-to-uniform-circular-motion-ap/v/linear-velocity-comparison-from-radius-and-angular-velocity-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Radius comparison from velocity and angular velocity: Worked example | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/929zpx9XJaE/default.jpg URL=http://www.youtube.com/watch?v=929zpx9XJaE description=Predicting which spinning disc has a larger radius from angular velocity and the linear velocity of a point on the edge. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/introduction-to-uniform-circular-motion-ap/v/radius-comparison-from-velocity-and-angular-velocity-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Change in angular velocity when velocity doubles thumb=https://i.ytimg.com/vi/u5Irm0d7tJo/default.jpg URL=http://www.youtube.com/watch?v=u5Irm0d7tJo description=Change in angular velocity when velocity doubles/description type=video name=Angular velocity and speed | Uniform circular motion and gravitation | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/I_pG2SH_s88/default.jpg URL=http://www.youtube.com/watch?v=I_pG2SH_s88 description=Angular velocity and speed. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/introduction-to-uniform-circular-motion-ap/v/angular-velocity-and-speed?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Distance or arc length from angular displacement | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/tSAsSWTTnw8/default.jpg URL=http://www.youtube.com/watch?v=tSAsSWTTnw8 description=Relating angular displacement to distance traveled (or arc length) for a ball traveling in a circle. Derivation of formula for arc length. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-physics-1/ap-centripetal-force-and-gravitation/introduction-to-uniform-circular-motion-ap/v/distance-or-arc-length-from-angular-displacement?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Angular motion variables thumb=https://i.ytimg.com/vi/pZSREG1y5cg/default.jpg URL=http://www.youtube.com/watch?v=pZSREG1y5cg description=Angular displacement and angular velocity definitions./description type=video name=Percent from fraction models thumb=https://i.ytimg.com/vi/nV6bRozq5Po/default.jpg URL=http://www.youtube.com/watch?v=nV6bRozq5Po description=Percent from fraction models/description type=video name=The power of 'yet' with Zoe and Elmo from Sesame Street thumb=https://i.ytimg.com/vi/46UhAtPyXw4/default.jpg URL=http://www.youtube.com/watch?v=46UhAtPyXw4 description=Sal visits Sesame Street to teach Zoe and Elmo about the power of a growth mindset!/description type=video name=Khan Academy India Talent Search 2017 thumb=https://i.ytimg.com/vi/Ha3vPJOX1LQ/default.jpg URL=http://www.youtube.com/watch?v=Ha3vPJOX1LQ description=Learn more and submit your videos: https://www.khanacademy.org/r/indiatalentsearch2017 Khan Academy is looking for brilliant explainers whose videos help students succeed in school and find joy in learning. We are looking for submissions in Math and Science for Std 6-12 level in English, Hindi, Kannada, Tamil, and Marathi. If you have a passion for teaching and a knack for making challenging concepts seem simple, send us one of your videos! Each language will have one winner and one runner-up. All 10 winners will be considered for video creation contracts with Khan Academy. In addition, they will receive cash prizes and have their videos published on Khan Academy. Send us your video today! https://www.khanacademy.org/r/indiatalentsearch2017/description type=video name=Ratios for recipes thumb=https://i.ytimg.com/vi/VWO1m0S-a9Y/default.jpg URL=http://www.youtube.com/watch?v=VWO1m0S-a9Y description=Ratios for recipes/description type=video name=Understanding equivalent ratios thumb=https://i.ytimg.com/vi/4S3Mbl0JrdY/default.jpg URL=http://www.youtube.com/watch?v=4S3Mbl0JrdY description=Understanding equivalent ratios/description type=video name=Ratio example problems thumb=https://i.ytimg.com/vi/IjMn7f6bbLA/default.jpg URL=http://www.youtube.com/watch?v=IjMn7f6bbLA description=Ratio example problems/description type=video name=Ratio word problem examples thumb=https://i.ytimg.com/vi/WoZ7-wOy-0w/default.jpg URL=http://www.youtube.com/watch?v=WoZ7-wOy-0w description=Ratio word problem examples/description type=video name=Equivalent ratios thumb=https://i.ytimg.com/vi/eb-GHXCqkhQ/default.jpg URL=http://www.youtube.com/watch?v=eb-GHXCqkhQ description=Equivalent ratios/description type=video name=Dilations and shape properties thumb=https://i.ytimg.com/vi/chdnDLbSbU8/default.jpg URL=http://www.youtube.com/watch?v=chdnDLbSbU8 description=Dilations and shape properties/description type=video name=Happy Mole Day! thumb=https://i.ytimg.com/vi/-bWyP0fibfI/default.jpg URL=http://www.youtube.com/watch?v=-bWyP0fibfI description=Rocco T. Mole wishing you a Happy Mole Day from all of us at Khan Academy! Learn more about moles and Avogadro's number here: http://khan.co/MoleDay17/description type=video name=Liters to milliliters examples thumb=https://i.ytimg.com/vi/OfTTjQW0CBw/default.jpg URL=http://www.youtube.com/watch?v=OfTTjQW0CBw description=Liters to milliliters examples/description type=video name=Counting by tens | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/UnPpFw3natI/default.jpg URL=http://www.youtube.com/watch?v=UnPpFw3natI description=Practice counting by tens using numbers and ten frames. View more lessons or practice this subject at https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/v/counting-by-tens-example-problems Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Estimating adding and subtracting 3 digit numbers thumb=https://i.ytimg.com/vi/cUKmbQjpu5A/default.jpg URL=http://www.youtube.com/watch?v=cUKmbQjpu5A description=Estimating adding and subtracting 3 digit numbers/description type=video name=Associative property of multiplication thumb=https://i.ytimg.com/vi/Wqxfm7EPcjo/default.jpg URL=http://www.youtube.com/watch?v=Wqxfm7EPcjo description=Associative property of multiplication/description type=video name=Khan Academy view of mastery learning thumb=https://i.ytimg.com/vi/GWa48XRnLh0/default.jpg URL=http://www.youtube.com/watch?v=GWa48XRnLh0 description=How mastery learning and personalization address challenges that surface with traditional non-mastery learning./description type=video name=Subtracting multi digit numbers with regrouping thumb=https://i.ytimg.com/vi/buyK1y4rV3E/default.jpg URL=http://www.youtube.com/watch?v=buyK1y4rV3E description=Subtracting multi digit numbers with regrouping/description type=video name=Adding multi digit numbers with regrouping thumb=https://i.ytimg.com/vi/TVtdqRNJmiw/default.jpg URL=http://www.youtube.com/watch?v=TVtdqRNJmiw description=Adding multi digit numbers with regrouping/description type=video name=Adding multi digit numbers with place value thumb=https://i.ytimg.com/vi/DqaHhReVpZI/default.jpg URL=http://www.youtube.com/watch?v=DqaHhReVpZI description=Adding multi digit numbers with place value/description type=video name=Understanding place value when subtracting thumb=https://i.ytimg.com/vi/XAPhD7EDQUk/default.jpg URL=http://www.youtube.com/watch?v=XAPhD7EDQUk description=Understanding place value when subtracting/description type=video name=Estimating subtracting decimals thumb=https://i.ytimg.com/vi/LQmAGFCJMqo/default.jpg URL=http://www.youtube.com/watch?v=LQmAGFCJMqo 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URL=http://www.youtube.com/watch?v=PssLxfFqHoA description=Approximating multi digit division/description type=video name=Rounding decimals on the number line thumb=https://i.ytimg.com/vi/T3BMIaDUvck/default.jpg URL=http://www.youtube.com/watch?v=T3BMIaDUvck description=Rounding decimals on the number line/description type=video name=Multiplying using area models and the standard algorithm thumb=https://i.ytimg.com/vi/fQ1zZYWjvwc/default.jpg URL=http://www.youtube.com/watch?v=fQ1zZYWjvwc description=Multiplying using area models or grids and the standard algorithm/description type=video name=Evaluating exponent expressions with variables thumb=https://i.ytimg.com/vi/9K54G5yeR74/default.jpg URL=http://www.youtube.com/watch?v=9K54G5yeR74 description=Evaluating exponent expressions with variables/description type=video name=Comparing exponent expressions thumb=https://i.ytimg.com/vi/kFElpYl7Te0/default.jpg URL=http://www.youtube.com/watch?v=kFElpYl7Te0 description=Comparing exponent expressions/description type=video name=Exponents of decimals thumb=https://i.ytimg.com/vi/o_urKmMdGK0/default.jpg URL=http://www.youtube.com/watch?v=o_urKmMdGK0 description=Exponents of decimals/description type=video name=Identifying transformation described with other algebra and geometry concepts thumb=https://i.ytimg.com/vi/4zvwNsou9vU/default.jpg URL=http://www.youtube.com/watch?v=4zvwNsou9vU description=Identifying transformation described with other algebra and geometry/description type=video name=Shape properties after a sequence of transformations thumb=https://i.ytimg.com/vi/KFSBop9TZyI/default.jpg URL=http://www.youtube.com/watch?v=KFSBop9TZyI description=Shape properties after a sequence of transformations/description type=video name=Dilations and properties thumb=https://i.ytimg.com/vi/eu4qSv9Vex0/default.jpg URL=http://www.youtube.com/watch?v=eu4qSv9Vex0 description=What properties of a shape are preserved or not preserved after a dilation?/description type=video name=Example identifying the center of dilation thumb=https://i.ytimg.com/vi/rDj0WNzp-f8/default.jpg URL=http://www.youtube.com/watch?v=rDj0WNzp-f8 description=Example identifying the center of dilation/description type=video name=Dilation scale factor examples thumb=https://i.ytimg.com/vi/b4ORXN7a0-w/default.jpg URL=http://www.youtube.com/watch?v=b4ORXN7a0-w description=Dilation scale factor examples/description type=video name=Dilating points example thumb=https://i.ytimg.com/vi/N0_HfmxdbCg/default.jpg URL=http://www.youtube.com/watch?v=N0_HfmxdbCg description=Dilating points example/description type=video name=Mapping shapes example thumb=https://i.ytimg.com/vi/4AxYt_Cjd1o/default.jpg URL=http://www.youtube.com/watch?v=4AxYt_Cjd1o description=Mapping shapes example/description type=video name=Properties perserved after rigid transformations thumb=https://i.ytimg.com/vi/brccWoewXiI/default.jpg URL=http://www.youtube.com/watch?v=brccWoewXiI description=Properties perserved after rigid transformations/description type=video name=Finding measures using rigid transformations thumb=https://i.ytimg.com/vi/7y4FGCvNgB8/default.jpg URL=http://www.youtube.com/watch?v=7y4FGCvNgB8 description=Finding measures using rigid transformations/description type=video name=Example reflecting quadrilateral over x axis thumb=https://i.ytimg.com/vi/lfBDOQddTD0/default.jpg URL=http://www.youtube.com/watch?v=lfBDOQddTD0 description=Example reflecting quadrilateral over x axis/description type=video name=Line of reflection example thumb=https://i.ytimg.com/vi/435Ipnmp7bA/default.jpg URL=http://www.youtube.com/watch?v=435Ipnmp7bA description=Line of reflection example/description type=video name=Reflecting points across horizontal and vertical lines thumb=https://i.ytimg.com/vi/F77xiSlCehI/default.jpg URL=http://www.youtube.com/watch?v=F77xiSlCehI description=Reflecting points across horizontal and vertical lines/description type=video name=Determining angle of rotation thumb=https://i.ytimg.com/vi/6pH-7pciYU8/default.jpg URL=http://www.youtube.com/watch?v=6pH-7pciYU8 description=Determining angle of rotation/description type=video name=Positive and negative rotaion of points example thumb=https://i.ytimg.com/vi/0NYbQPcdxg8/default.jpg URL=http://www.youtube.com/watch?v=0NYbQPcdxg8 description=Positive and negative rotaion of points example/description type=video name=Message to LearnStormers from Paralympic ski racer Josh Sundquist thumb=https://i.ytimg.com/vi/VkYiaFPnptI/default.jpg URL=http://www.youtube.com/watch?v=VkYiaFPnptI description=Bestselling author, motivational speaker, and Paralympic ski racer Josh Sundquist shares his advice on overcoming failure for #LearnStorm2017 students. http://khan.co/LearnStormJS (with thanks to AT&T)/description type=video name=Example translating points thumb=https://i.ytimg.com/vi/SxxzfojT1Pw/default.jpg URL=http://www.youtube.com/watch?v=SxxzfojT1Pw description=Example translating points/description type=video name=Examples recognizing transformations thumb=https://i.ytimg.com/vi/K7QTjFdUIyk/default.jpg URL=http://www.youtube.com/watch?v=K7QTjFdUIyk description=Examples recognizing transformations (translations, rotations, reflections and dilations)./description type=video name=Transformations - dilation thumb=https://i.ytimg.com/vi/Kv-lyVmQ5ps/default.jpg URL=http://www.youtube.com/watch?v=Kv-lyVmQ5ps description=An introduction to dilation which is a non-rigid transformation (distance between points is not preserved)./description type=video name=TI-84 geometpdf and geometcdf functions | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/RMf0F72I7dY/default.jpg URL=http://www.youtube.com/watch?v=RMf0F72I7dY description=Using a TI-84 (very similar for TI-85 or TI-89) calculator for making calculations regarding geometric random variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/geometric-random-variable/v/ti-84-geometpdf-and-geometcdf-functions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=When there aren't gains from trade | Basic economics concepts | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/TeAzW_tY6m4/default.jpg URL=http://www.youtube.com/watch?v=TeAzW_tY6m4 description=In a previous lesson we learned that there is the potential for two countries to gain from trade. But it is also possible that there might not be the potential to gain from trade. In this video, we explore the circumstance that would lead to there being no gains from trade. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/scarcity-and-growth/v/when-there-arent-gains-from-trade-macroeconomics-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparative advantage worked example | Basic economics concepts | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/jHp4fnrEA6w/default.jpg URL=http://www.youtube.com/watch?v=jHp4fnrEA6w description=Comparative advantage worked example. Type of question you would see on an AP economics exam. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/scarcity-and-growth/v/comparative-advantage-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Binompdf and binomcdf functions | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/IngLJs6T1Qw/default.jpg URL=http://www.youtube.com/watch?v=IngLJs6T1Qw description=Using a TI-84 (very similar for TI-85 or TI-89) calculator for making calculations regarding binomial random variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-random-variable/v/ti-84-binompdf-and-binomcdf-functions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Equilibrium, allocative efficiency and total surplus thumb=https://i.ytimg.com/vi/E_EmGO1XuHM/default.jpg URL=http://www.youtube.com/watch?v=E_EmGO1XuHM description=Equilibrium, allocative efficiency and total surplus/description type=video name=Visualizing marginal utility MU and total utility TU functions thumb=https://i.ytimg.com/vi/JlS5K1AxjT4/default.jpg URL=http://www.youtube.com/watch?v=JlS5K1AxjT4 description=Visualizing marginal utility MU and total utility TU functions/description type=video name=Identifying tax incidence in a graph | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/1-8O5AHIb6s/default.jpg URL=http://www.youtube.com/watch?v=1-8O5AHIb6s description=When a tax is imposed on a market consumer and producer surplus are both reduced and that reduction becomes tax revenue. The incidence of a tax is the way in which a tax reduced consumer and producer surplus. In this video, learn how to identify areas representing tax incidence in a market graph. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How price controls reallocate surplus | APⓇ Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/-T8lzuTwdbI/default.jpg URL=http://www.youtube.com/watch?v=-T8lzuTwdbI description=Price controls, like price ceilings and price floors, reallocate surplus. In this video, learn how to identify the areas representing reallocated surplus in a market graph. AP(R) Microeconomics on Khan Academy: Microeconomics is the study of individual decisionmakers in an economy, such as people, households, and firms. Learn how markets work, how incentives drive decisionmaking, and how market structure influences market outcomes. We hit the traditional topics from an AP Microeconomics course, including basic economic concepts, markets, production and costs, profit maximization perfect competition, imperfectly competitive market structures, game theory, factor markets, and income inequality. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of expected value of geometric random variable | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/7br_-emGNec/default.jpg URL=http://www.youtube.com/watch?v=7br_-emGNec description=Proof of expected value of geometric random variable. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/geometric-random-variable/v/proof-of-expected-value-of-geometric-random-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Cumulative geometric probability (less than a value) | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/nxUP4lJ_hbU/default.jpg URL=http://www.youtube.com/watch?v=nxUP4lJ_hbU description=Probability for a geometric random variable being less than a certain value. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/geometric-random-variable/v/cumulative-geometric-probability-less-than-a-value?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Cumulative geometric probability (greater than a value) | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/7TYMKKQK8s8/default.jpg URL=http://www.youtube.com/watch?v=7TYMKKQK8s8 description=Probability for a geometric random variable being greater than a certain value. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/geometric-random-variable/v/cumulative-geometric-probability-greater-than-a-value?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Probability for a geometric random variable | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/jKlgEvRFItE/default.jpg URL=http://www.youtube.com/watch?v=jKlgEvRFItE description=Finding the probability for a single outcome of a geometric random variable. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/geometric-random-variable/v/probability-for-a-geometric-random-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Geometric random variables introduction | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/IVlzp8g1McE/default.jpg URL=http://www.youtube.com/watch?v=IVlzp8g1McE description=Distinguishing between geometric and binomial random variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/geometric-random-variable/v/geometric-random-variables-introduction?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Finding the mean and standard deviation of a binomial random variable | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/gro5b3PZ-Bw/default.jpg URL=http://www.youtube.com/watch?v=gro5b3PZ-Bw description=Example showing how to find the mean and standard deviation of a binomial random variable. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-mean-standard-deviation/v/finding-the-mean-and-standard-deviation-of-a-binomial-random-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Expected value of a binomial variable | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/fjjhAm5trSM/default.jpg URL=http://www.youtube.com/watch?v=fjjhAm5trSM description=Deriving and using the expected value (mean) formula for binomial random variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-mean-standard-deviation/v/expected-value-of-binomial-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Variance of a binomial variable | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/uudB5XiAYOw/default.jpg URL=http://www.youtube.com/watch?v=uudB5XiAYOw description=Deriving the variance and standard deviation formulas for binomial random variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-mean-standard-deviation/v/variance-of-binomial-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Recognizing binomial variables | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ITtFw5PH-hs/default.jpg URL=http://www.youtube.com/watch?v=ITtFw5PH-hs description=Some examples and counterexamples of binomial variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-random-variable/v/recognizing-binomial-variables?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Binomial variables | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/yUDFir8oYl8/default.jpg URL=http://www.youtube.com/watch?v=yUDFir8oYl8 description=An introduction to a special class of random variables called binomial random variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/binomial-random-variable/v/binomial-variables?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Capital vs. consumer goods and economic growth | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Av5azFCnULE/default.jpg URL=http://www.youtube.com/watch?v=Av5azFCnULE description=In this video examine the tradeoff a country faces between allocating its resources towards capital goods or consumer goods, and the impact the country's decision will have on economic growth today and in the future. Microeconomics on Khan Academy: Microeconomics is all about how individual actors make decisions. Learn how supply and demand determine prices, how companies think about competition, and more! We hit the traditional topics from a college-level microeconomics course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparative advantage - input approach | Basic economic concepts | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/5tMPPp5VIME/default.jpg URL=http://www.youtube.com/watch?v=5tMPPp5VIME description=In this video we use the input approach to determine comparative advantage. We can determine who has comparative advantage in producing a good based the amount of time or the number of inputs (land, labor and capital) required for the individual or the country to produce a certain quantity of output. Microeconomics on Khan Academy: Microeconomics is all about how individual actors make decisions. Learn how supply and demand determine prices, how companies think about competition, and more! We hit the traditional topics from a college-level microeconomics course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparative advantage - output approach | Basic economic concepts | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/wbWz5vFk-Gw/default.jpg URL=http://www.youtube.com/watch?v=wbWz5vFk-Gw description=In this video we use the output approach to calculating comparative advantage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuition for why independence matters for variance of sum | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/UAOJgqdsK9w/default.jpg URL=http://www.youtube.com/watch?v=UAOJgqdsK9w description=Intuition for why independence matters for variance of sum. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/combining-random-variables/v/intuition-for-why-independence-matters-for-variance-of-sum?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Variance of sum and difference of random variables | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/3VXhi_0Mclg/default.jpg URL=http://www.youtube.com/watch?v=3VXhi_0Mclg description=Intuition for why the variance of both the sum and difference of two independent random variables is equal to the sum of their variances. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/combining-random-variables/v/variance-of-sum-and-difference-of-random-variables?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Polar curve area with calculator thumb=https://i.ytimg.com/vi/CTIzdbEBweI/default.jpg URL=http://www.youtube.com/watch?v=CTIzdbEBweI description=Finding the area between two loops of the same polar curve using a graphing calculator (TI-84)./description type=video name=Justification using second derivative: inflection point | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/QgpjYgAAW7o/default.jpg URL=http://www.youtube.com/watch?v=QgpjYgAAW7o description=We can justify whether a function has an inflection point by looking at where the second derivative changes its sign. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/e/justification-using-second-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/inflection-points-graphically-given-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/calculus-based-justification-using-second-derivative-max?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing related rates problems: equations (trig) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/XwEGKNPLQfQ/default.jpg URL=http://www.youtube.com/watch?v=XwEGKNPLQfQ description=Finding the rate of change of an angle that a falling ladder forms with the ground. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/e/analyzing-related-rates-problems-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/rate-of-change-of-distance-between-approaching-cars?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/analyzing-related-rates-problems-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: area between curves | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/aaCRnT8o-Ng/default.jpg URL=http://www.youtube.com/watch?v=aaCRnT8o-Ng description=The area between the graphs of functions Ä and _ can be found by taking the definite integral of Ä-_ (suppose Ä is above _). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/e/area-between-two-curves-given-end-points?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-horizontal-area/v/area-between-curve-and-y-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/v/area-between-curves?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: differentiating polar functions | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/ConsnUZGfmw/default.jpg URL=http://www.youtube.com/watch?v=ConsnUZGfmw description=An AP Calculus sample item where we find the rate of change of _ with respect to _. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-polar-functions-differentiation/e/differentiate-polar-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-adv-derivatives-opt-vids/v/proof-of-derivative-of-ex?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-polar-functions-differentiation/v/derivatives-in-polar-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Logistic model word problem | Differential equations | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/kDZlMFkKhWA/default.jpg URL=http://www.youtube.com/watch?v=kDZlMFkKhWA description=Finding the carrying capacity of a population that grows logistically. Also finding the population's size when it's growing the fastest. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-logistic-models/e/logistic-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-logistic-models/v/solving-logistic-differential-equation-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-logistic-models/v/logistic-differential-equation-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: over- and under-estimation of Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/XmI80eJZAWM/default.jpg URL=http://www.youtube.com/watch?v=XmI80eJZAWM description=Ordering different areas from least to greatest. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/e/over-and-under-estimation-of-riemann-sums?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-midpoint-trapezoid/v/midpoint-sums?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/v/riemann-sum-from-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Over- and under-estimation of Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ER5eoDkjsrc/default.jpg URL=http://www.youtube.com/watch?v=ER5eoDkjsrc description=Riemann sums are approximations of area, so usually they aren't equal to the exact area. Sometimes they are larger than the exact area (this is called overestimation) and sometimes they are smaller (this is called underestimation). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/v/riemann-sum-from-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/v/simple-riemann-approximation-using-rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits from graphs | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/mols6pMKrto/default.jpg URL=http://www.youtube.com/watch?v=mols6pMKrto description=Worked examples of estimating limits of a function from its graph. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-numerically/v/approximating-limit-from-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-graphically/v/approximating-limit-graphically-and-numerically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: problem involving definite integral (algebraic) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/vYix-RPhT64/default.jpg URL=http://www.youtube.com/watch?v=vYix-RPhT64 description=Using definite integral to solve a word problem about the growth in the population of a town. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/e/net-change-algebraic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/motion-problems-with-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/area-under-rate-function-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area between curves | Applications of definite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/wQXYtsyfbqg/default.jpg URL=http://www.youtube.com/watch?v=wQXYtsyfbqg description=By integrating the difference of two functions, you can find the area between them. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/e/area-between-two-curves-given-end-points?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/v/area-between-curves-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/v/definite-integrals-and-negative-area?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Describing a distribution | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/XLNAkLuokzY/default.jpg URL=http://www.youtube.com/watch?v=XLNAkLuokzY description=Learn how to describe a distribution of quantitative data by discussing its shape, center, spread, and potential outliers. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/quantitative-data-ap/describing-comparing-distributions/v/example-describing-a-distribution?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example: Comparing distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/lT3LRjtSbJc/default.jpg URL=http://www.youtube.com/watch?v=lT3LRjtSbJc description=Compare distributions using the features of shape, center, spread, and outliers. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/quantitative-data-ap/describing-comparing-distributions/v/comparing-distributions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Planar motion (with integrals) | Applications of definite integrals | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/EZbgMfuh9C8/default.jpg URL=http://www.youtube.com/watch?v=EZbgMfuh9C8 description=To analyze planar motion where the rate vector is given, we need to find the displacement in each direction separately. Then we will either use that to find the new position, or to find the magnitude of the displacement using the Pythagorean theorem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-motion-integrals/e/planar-motion-integral-calc?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-motion-integrals/v/average-acceleration-over-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-motion-integrals/v/antiderivative-acceleration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating limits using tables | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/1tn0vd2835k/default.jpg URL=http://www.youtube.com/watch?v=1tn0vd2835k description=We can have an estimate for a limit by evaluating the expression at points that are close to where the limit is, but there are a few things we have to consider before we do so. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-numerically/v/estimating-limit-from-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-graphically/v/limits-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing motion problems: position | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/M7IZClYqdEo/default.jpg URL=http://www.youtube.com/watch?v=M7IZClYqdEo description=Finding the appropriate expression to use when looking for the position at a certain time. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/analyzing-motion-problems-total-dist-traveled?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/motion-problems-with-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing motion problems: total distance traveled | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Ih-NVgXuTnQ/default.jpg URL=http://www.youtube.com/watch?v=Ih-NVgXuTnQ description=Finding the appropriate expression to use when looking for the total distance traveled over a certain time interval. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/e/analyzing-motion-problems-integral-calc?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/antiderivative-acceleration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/analyzing-motion-problems-position?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Motion problems with integrals: displacement vs. distance | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Sy_7PkoTCtA/default.jpg URL=http://www.youtube.com/watch?v=Sy_7PkoTCtA description=The definite integral of a velocity function gives us the displacement. To find the actual distance traveled, we need to use the speed function, which is the absolute value of the velocity. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/analyzing-motion-problems-position?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/definite-integral-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing problems involving definite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/U4dtruMdQ7Y/default.jpg URL=http://www.youtube.com/watch?v=U4dtruMdQ7Y description=See worked example of how to find the appropriate expression to use in order to solve word problems using definite integrals. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/e/analyzing-problems-involving-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/area-under-rate-function-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/interpreting-definite-integrals-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked examples: interpreting definite integrals in context | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/FWcXFU8Zj8U/default.jpg URL=http://www.youtube.com/watch?v=FWcXFU8Zj8U description=Interpreting expressions involving definite integrals in a real-world context. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/e/interpreting-definite-integrals-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/analyzing-problems-involving-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/interpreting-definite-integral-as-net-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting definite integral as net change | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5-qpfFTaY8c/default.jpg URL=http://www.youtube.com/watch?v=5-qpfFTaY8c description=The definite integral of a rate function gives us the net change in the quantity described by the rate. See how we interpret definite integrals in a real-world context. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/interpreting-definite-integrals-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/area-under-rate-net-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting behavior of _ from graph of _'=Ä | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/51JgTZKnytA/default.jpg URL=http://www.youtube.com/watch?v=51JgTZKnytA description=When given the graph of function Ä, we can reason about the graph of its antiderivative _ (so _'=Ä). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-behavior-of-antiderivative/e/interpreting-behavior-of-antiderivative-of-f-from-the-graph-of-f?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-behavior-of-antiderivative/v/visual-anti-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/mean-value-theorem-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=_-substitution: definite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/paNqHnR3-aM/default.jpg URL=http://www.youtube.com/watch?v=paNqHnR3-aM description=When using _-substitution in definite integrals, we must make sure we take care of the boundaries of integration. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/e/u-substitution--definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-exponential?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-with-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=_-substitution: defining _ | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/r5XXDSOh5Nk/default.jpg URL=http://www.youtube.com/watch?v=r5XXDSOh5Nk description=A common challenge when performing _-substitution is to realize which part should be our _. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/e/u-substitution-defining-u?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-defining-u-exp?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=_-substitution: defining _ (more examples) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/rsBALP8QNns/default.jpg URL=http://www.youtube.com/watch?v=rsBALP8QNns description=A common challenge when performing _-substitution is to realize which part should be our _. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/e/u-substitution-defining-u?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-defining-u?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: finding a Riemann sum using a table | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/dki2K3Z-1kI/default.jpg URL=http://www.youtube.com/watch?v=dki2K3Z-1kI description=When we have a table of values of a function, we can use it to find a Riemann sum approximation of that function. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/e/using-rectangles-to-approximate-area-under-a-curve?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/v/riemann-sums-over-under-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/v/riemann-sums-over-and-under-estimation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing related rates problems: expressions | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/TX69hjJpBFk/default.jpg URL=http://www.youtube.com/watch?v=TX69hjJpBFk description=When we have a related rates problem on our hands, it's best to first make sure we understand all the involved quantities. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/e/analyzing-related-rates-problems-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/analyzing-related-rates-problems-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/rates-of-change-between-radius-and-area-of-circle?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mistakes when finding inflection points: not checking candidates | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/1lA1hWdw62Q/default.jpg URL=http://www.youtube.com/watch?v=1lA1hWdw62Q description=Candidates for inflection points are x-values where the second derivative is equal to zero or undefined. But they are only candidates! Once we've found them, we need to test them and see if they really are inflection points. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/e/analyze-concavity-algebraic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/intuitively-drawing-the-derivative-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/mistakes-when-finding-inflection-points-second-derivative-undefined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mistakes when finding inflection points: second derivative undefined | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/TaRPDFqEd-c/default.jpg URL=http://www.youtube.com/watch?v=TaRPDFqEd-c description=Candidates for inflection points are points where the second derivative is zero *and* points where the second derivative is undefined. It's important not to overlook any candidate. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/mistakes-when-finding-inflection-points-not-checking-candidates?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/inflection-points-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Justification using second derivative: maximum point | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/PvZaQZBJzGU/default.jpg URL=http://www.youtube.com/watch?v=PvZaQZBJzGU description=Given that the derivative of a function is zero, we can justify whether the function has a relative maximum point by looking at the second derivative. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/justification-for-inflection-point?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/identifying-inflection-points-from-graphs-of-function-and-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculus based justification for function increasing | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/qLhZdSNDQ0M/default.jpg URL=http://www.youtube.com/watch?v=qLhZdSNDQ0M description=A calculus based justification is when we explain a property of a function f based on its derivative f'. See a good example (and a few wrong ones) for how to do this when explaining why a function increases. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/e/justification-using-first-derivative-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/v/analyzing-a-function-with-its-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/v/justification-using-first-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conditions for MVT: table | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/UUyAoEQtToI/default.jpg URL=http://www.youtube.com/watch?v=UUyAoEQtToI description=The mean value theorem applies to a function Ä over an interval [_,_] under the conditions that Ä is differentiable over (_,_) and continuous over [_,_]. See how we determine these conditions given a table. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/e/conditions-for-mvt-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/finding-where-the-derivative-is-equal-to-the-average-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/conditions-for-mvt-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conditions for MVT: graph | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/PnqPan7AyJE/default.jpg URL=http://www.youtube.com/watch?v=PnqPan7AyJE description=The mean value theorem applies to a function Ä over an interval [_,_] under the conditions that Ä is differentiable over (_,_) and continuous over [_,_]. See how we determine these conditions given a graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/e/conditions-for-mvt--graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/conditions-for-mvt-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/mean-value-theorem-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to integral calculus | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/__Uw1SXPW7s/default.jpg URL=http://www.youtube.com/watch?v=__Uw1SXPW7s description=The basic idea of Integral calculus is finding the area under a curve. To find it exactly, we can divide the area into infinite rectangles of infinitely small width and sum their areasÑcalculus is great for working with infinite things! This idea is actually quite rich, and it's also tightly related to Differential calculus, as you will see in the upcoming videos. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/v/definite-integrals-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-motion-diff/v/rectilinear-motion-example-maximum-acceleration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Connecting f, f', and f'' graphically | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/elugjT_Np3M/default.jpg URL=http://www.youtube.com/watch?v=elugjT_Np3M description=Analyzing three graphs to see which describes the derivative of which other graph. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/connecting-function-and-derivatives-graphically-exp?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/identifying-a-function-s-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Connecting f, f', and f'' graphically (another example) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/G6ReTLn9vLc/default.jpg URL=http://www.youtube.com/watch?v=G6ReTLn9vLc description=Analyzing three graphs to see which describes the derivative of which other graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/e/connecting-function-and-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/calculus-graphing-using-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/connecting-function-and-derivatives-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives of inverse functions | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/XOs9vVmzE70/default.jpg URL=http://www.youtube.com/watch?v=XOs9vVmzE70 description=Functions f and g are inverses if f(g(x))=x=g(f(x)). For every pair of such functions, the derivatives f' and g' have a special relationship. Learn about this relationship and see how it applies to __ and ln(x) (which are inverse functions!). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-inverse-func/v/derivatives-of-inverse-functions-implicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/showing-explicit-and-implicit-differentiation-give-same-result?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of ln(x) | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Qm1TDobNrns/default.jpg URL=http://www.youtube.com/watch?v=Qm1TDobNrns description=The derivative of ln(x) is 1/x. We show why it is so in a different video, but you can get some intuition here. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/logarithmic-functions-differentiation-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/using-the-product-rule-and-the-chain-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The West Indies and the Southern colonies | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/2TA4y9BtzBw/default.jpg URL=http://www.youtube.com/watch?v=2TA4y9BtzBw description=Plantation agriculture, and slave labor, united the British colonies in the West Indies and the southern part of the eastern seaboard. In this video, Kim Kutz Elliott discusses the sugar islands of the Caribbean and how their reliance on enslaved Africans for labor defined plantation society throughout the British colonies. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/colonial-america/early-chesapeake-and-southern-colonies/v/the-west-indies-and-the-southern-colonies?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Politics and indigenous relations in the New England colonies | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/pf-4JrX7CeM/default.jpg URL=http://www.youtube.com/watch?v=pf-4JrX7CeM description=The New England colonies differed from the Chesapeake colonies in their economies and environments. However, as Kim Kutz Elliott discusses, both regions shared forms of government that were unusually democratic for the time period, as well as a policy of excluding Native Americans from their societies. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/colonial-america/colonial-north-america/v/politics-and-native-relations-in-the-new-england-colonies?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Society and religion in the New England colonies | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/Y4z2fS8FwfE/default.jpg URL=http://www.youtube.com/watch?v=Y4z2fS8FwfE description=The New England colonies organized society around the Puritan religion and family farming. In this video, Kim Kutz Elliott explores New England settlers' reasons for immigrating to North America and their farming and fishing economy. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/colonial-america/colonial-north-america/v/society-and-religion-in-the-new-england-colonies?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Middle colonies | Period 2: 1607-1754 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/UGiNOeuQRnE/default.jpg URL=http://www.youtube.com/watch?v=UGiNOeuQRnE description=The Middle colonies consisted of Pennsylvania, New Jersey, New York, and Delaware. In this video, Kim Kutz Elliott discusses how their economies combined the industry of the North with the agriculture of the South. They were unusual, however, for their degree of religious toleration and their wide range of ethnic diversity. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/colonial-america/colonial-north-america/v/the-middle-colonies?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=French and Dutch colonization | Period 2: 1607-1754 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/5L_6VfsfWms/default.jpg URL=http://www.youtube.com/watch?v=5L_6VfsfWms description=In the 1600s, French and Dutch settlers in North America took a very different approach to colonization than their English or Spanish counterparts. In this video, Kim Kutz Elliott examines the trading relationships that French and Dutch settlers established with Native Americans in North America and how colonial goals affected patterns of settlement. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/colonial-america/early-english-settlement/v/french-and-dutch-colonization?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Spanish colonization | Period 1: 1491-1607 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/uWj0GCvn_Oo/default.jpg URL=http://www.youtube.com/watch?v=uWj0GCvn_Oo description=In the years after Columbus's first voyage, Spanish adventurers known as conquistadores began to colonize the surrounding areas of the Caribbean and the Americas. In this video, Kim Kutz Elliott explores the social changes that Spanish colonization created in the New World. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/precontact-and-early-colonial-era/spanish-colonization/v/spanish-colonization?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Native American societies before contact | Period 1: 1491-1607 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/Ht0FW7RwRmc/default.jpg URL=http://www.youtube.com/watch?v=Ht0FW7RwRmc description=What was life like in North America before Europeans arrived? In this video, Kim Kutz Elliott explores how different environmental factors in North America shaped a variety of Native American societies. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/precontact-and-early-colonial-era/before-contact/v/native-american-societies-before-contact?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Command and market economies | Basic economics concepts | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Ve6K10-Yx_M/default.jpg URL=http://www.youtube.com/watch?v=Ve6K10-Yx_M description=An introduction to the difference between command economies and market economies. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/introduction-to-the-economic-way-of-thinking-macro/v/command-and-market-economies?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Adding and subtracting on number line 2 | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/WevZMyikGV4/default.jpg URL=http://www.youtube.com/watch?v=WevZMyikGV4 description=Sal adds and subtracts numbers like 585 and 368 using a number line. Numbers used in these problems are less than 1000. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-measurement-data/cc-2nd-measuring-length/v/measuring-lengths-2?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/addition-using-groups-of-10-and-100?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition using groups of 10 and 100 | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/Nq88IHw4Y9E/default.jpg URL=http://www.youtube.com/watch?v=Nq88IHw4Y9E description=Sal rewrites addition problems to make them easier to solve. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/exercise-for-numberline-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/rethinking-three-digit-addition-for-mental-calculation?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving 3-digit addition in your head | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/jAfJcgPGqgI/default.jpg URL=http://www.youtube.com/watch?v=jAfJcgPGqgI description=Sal shows some techniques for doing mental addition, such as making groups of 10 and 100. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/addition-using-groups-of-10-and-100?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/breaking-apart-three-digit-addition-problems?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Breaking apart 3-digit addition problems | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/Hc9mcx739js/default.jpg URL=http://www.youtube.com/watch?v=Hc9mcx739js description=Sal shows ways to break up addition problems using place value. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/rethinking-three-digit-addition-for-mental-calculation?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-sub-ones-tens-hundreds/v/subtracting-three-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting 3-digit numbers (no regrouping) | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/i8r7ZTUqB9w/default.jpg URL=http://www.youtube.com/watch?v=i8r7ZTUqB9w description=Sal shows how to subtract 357-251 with place value. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-strategies-for-adding-two-and-three-digit-numbers/v/breaking-apart-three-digit-addition-problems?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-sub-ones-tens-hundreds/v/subtracting-3-digits?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding 3-digit numbers (no regrouping) | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/d3109sV6izY/default.jpg URL=http://www.youtube.com/watch?v=d3109sV6izY description=Sal adds 327 + 251 thinking about place value. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-sub-ones-tens-hundreds/v/subtracting-hundreds-and-tens?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-add-ones-tens-hundreds/v/adding-hundreds-tens-and-ones?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Missing numbers in addition and subtraction | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/zTK6XUF0HAs/default.jpg URL=http://www.youtube.com/watch?v=zTK6XUF0HAs description=Sal solves missing number in problems like 73 = ___ + 57. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-1000/cc-2nd-add-ones-tens-hundreds/v/adding-ten-or-one-hundred?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-skip-counting/v/skip-counting-by-100-example?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition and subtraction with number lines | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/I5xcZgyY4ag/default.jpg URL=http://www.youtube.com/watch?v=I5xcZgyY4ag description=Sal figures out which number line matches up with a 2-digit addition or subtraction problem. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-add-100/v/adding-two-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-math-strategies-for-adding-within-100/v/example-exercises-on-ways-to-add-two-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Strategies for adding 2-digit numbers | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/kMHFY6ZrKbU/default.jpg URL=http://www.youtube.com/watch?v=kMHFY6ZrKbU description=Sal subtracts 35-8. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-math-strategies-for-adding-within-100/v/addition-using-groups-of-10-intro?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-sub-two-dig-intro/v/subtracting-two-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting a 1-digit number with regrouping | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/zvetEuVJ0bE/default.jpg URL=http://www.youtube.com/watch?v=zvetEuVJ0bE description=Sal subtracts 35-8. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-math-strategies-for-adding-within-100/v/addition-using-groups-of-10-intro?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-sub-two-dig-intro/v/subtracting-two-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting two-digit numbers without regrouping (example 2) | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/RzEFGpe0rv4/default.jpg URL=http://www.youtube.com/watch?v=RzEFGpe0rv4 description=Sal subtracts 31 from 64 by thinking about tens and ones. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-sub-two-dig-intro/v/regrouping-to-subtract-one-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-sub-two-dig-intro/v/subtracting-2-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting 1 vs. subtracting 10 | Addition and subtraction within 100 | 2nd grade | Khan Academy thumb=https://i.ytimg.com/vi/8YR1E7XWPz8/default.jpg URL=http://www.youtube.com/watch?v=8YR1E7XWPz8 description=Sal talks about the difference between subtracting 1 and subtracting 10. Watch the next lesson: https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-sub-ones-tens/v/understanding-place-value-while-subtracting-ones?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-2nd-grade-math/cc-2nd-add-subtract-100/cc-2nd-add-ones-tens/v/understanding-place-value-when-adding-ones?utm_source=YT&utm_medium=Desc&utm_campaign=2ndgrade 2nd grade on Khan Academy: Learn to see three-digit numbers as hundreds, tens, and ones About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 2nd grade channel: https://www.youtube.com/channel/UCNKAFuuw3dpsiSl9n90zgvw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of vector magnitude from initial and terminal points thumb=https://i.ytimg.com/vi/jfaSZhNFEOE/default.jpg URL=http://www.youtube.com/watch?v=jfaSZhNFEOE description=Example of vector magnitude from initial and terminal points/description type=video name=Worked example: separable differential equation (with taking log of both sides) | Khan Academy thumb=https://i.ytimg.com/vi/ulrAE8LJlKY/default.jpg URL=http://www.youtube.com/watch?v=ulrAE8LJlKY description=Solving the equation dy/dx=x_/__. This involves an extra step of taking the log of both sides of the resulting x-y equation, in order to isolate y. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-separable-eq/e/separable-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-separable-eq/v/separable-diff-eq-with-taking-exp?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-separable-eq/v/separable-differential-equations-examples?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Normative and positive statements | Basic economics concepts | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/YtX6SGw7E3c/default.jpg URL=http://www.youtube.com/watch?v=YtX6SGw7E3c description=An introduction to normative statements and positive statements in economics. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/introduction-to-the-economic-way-of-thinking-macro/v/normative-and-positive-statements?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Solar and lunar eclipses thumb=https://i.ytimg.com/vi/qJqGg3Xe4iE/default.jpg URL=http://www.youtube.com/watch?v=qJqGg3Xe4iE description=Understanding solar eclipses and lunar eclipses. Why don't we have a solar eclipse every new moon (every time the Moon is between the Earth and Sun)? Why don't we have a lunar eclipse every time the Earth is between the Sun and Moon./description type=video name=The Moon thumb=https://i.ytimg.com/vi/ZQcf9xLABa0/default.jpg URL=http://www.youtube.com/watch?v=ZQcf9xLABa0 description=An introduction to the size of the Moon, the distance to the Moon, the relation of the 28-day cycle of the Moon to a month and understanding the phases of the Moon./description type=video name=Justification using first derivative | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/t-RXwwBjxsc/default.jpg URL=http://www.youtube.com/watch?v=t-RXwwBjxsc description=We can explain why a function is increasing, decreasing, or having a relative maximum using information about its first derivative. This is called calculus-based justification. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/e/justification-using-first-derivative-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/v/calculus-based-justification-for-function-increasing?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/v/relative-minima-maxima?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples establishing conditions for MVT thumb=https://i.ytimg.com/vi/2aqcjZsjeXk/default.jpg URL=http://www.youtube.com/watch?v=2aqcjZsjeXk description=Examples establishing conditions for MVT/description type=video name=Mean of sum and difference of random variables | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/RYSN1CARHtE/default.jpg URL=http://www.youtube.com/watch?v=RYSN1CARHtE description=Compare distributions using the features of shape, center, spread, and outliers. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/quantitative-data-ap/describing-comparing-distributions/v/comparing-distributions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: Parametric arc length | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/F3KyoI26fKI/default.jpg URL=http://www.youtube.com/watch?v=F3KyoI26fKI description=Finding the length of the parametric curve _=cos(_), _=sin(_) from _=0 to _=¹/2, using the formula for arc length of a parametric curve. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/e/arc-length-of-functions-in-one-variable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-vol-cross-sections/v/volume-solid-semicircle-cross-section?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/v/parametric-curve-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric curve arc length | Applications of definite integrals | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/DXHM7LYGcbI/default.jpg URL=http://www.youtube.com/watch?v=DXHM7LYGcbI description=A finely tuned example demonstrating how the arc length formula works. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/v/parametric-arc-length-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/v/arc-length-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polar functions derivatives | Advanced derivatives | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/8mS9eDHf0fQ/default.jpg URL=http://www.youtube.com/watch?v=8mS9eDHf0fQ description=Finding derivatives of _, _, and _ of a function given in polar coordinates. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-polar-functions-differentiation/e/differentiate-polar-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-polar-functions-differentiation/v/differentiating-polar-functions-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/v/second-derivatives-of-vector-valued-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of __ | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/W_gNAjWWvBg/default.jpg URL=http://www.youtube.com/watch?v=W_gNAjWWvBg description=The derivative of __ is... well... __. This is a very special property lies at the heart of our work with exponential functions. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/exponential-functions-differentiation-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/e-as-limit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Economic models | Basic economics concepts | AP Macroeconomics and Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/7n_Hf_UsW7I/default.jpg URL=http://www.youtube.com/watch?v=7n_Hf_UsW7I description=Why economists use models and their limitations. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/introduction-to-the-economic-way-of-thinking-macro/v/economic-models?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Scarcity | Basic economics concepts | Economics | Khan Academy thumb=https://i.ytimg.com/vi/iy-fhpbTH9E/default.jpg URL=http://www.youtube.com/watch?v=iy-fhpbTH9E description=Introduction to scarcity as the notion underpinning the study of economics. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/basic-economics-concepts-macro/introduction-to-the-economic-way-of-thinking-macro/v/scarcity?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Analyzing mistakes when finding extrema (example 1) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/-ihDprWkcY8/default.jpg URL=http://www.youtube.com/watch?v=-ihDprWkcY8 description=Analyzing the work of someone who tried to find extrema of a function, to see whether they made mistakes. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/analyzing-mistakes-when-finding-extrema-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/finding-relative-maximum-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conditions for IVT and EVT: graph | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/h1YFwjMp3Ag/default.jpg URL=http://www.youtube.com/watch?v=h1YFwjMp3Ag description=Analyzing graphs at certain intervals to see if the intermediate value theorem or the extreme value theorem apply there. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/conditions-for-ivt-and-evt-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/extreme-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conditions for IVT and EVT: table | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/vPYl4NM6DaM/default.jpg URL=http://www.youtube.com/watch?v=vPYl4NM6DaM description=Analyzing various conditions to see if the intermediate value theorem or extreme value theorem can be applied to a function, and analyzing a worked example of applying these theorems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/e/conditions-for-ivt-and-evt-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/intermediate-value-theorem-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/conditions-for-ivt-and-evt-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimating limits from tables | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/zX49LocrXbg/default.jpg URL=http://www.youtube.com/watch?v=zX49LocrXbg description=When we're provided with an appropriate table of values of a function, we can use it to estimate the function's limit at a certain point. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/one-sided-limits-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-numerically/v/approximating-limit-from-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Impact of transforming (scaling and shifting) random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/fx3TtExi9e8/default.jpg URL=http://www.youtube.com/watch?v=fx3TtExi9e8 description=Linear transformations (addition and multiplication of a constant) and their impacts on center (mean) and spread (standard deviation) of a distribution. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/transforming-random-variables/v/impact-of-scaling-and-shifting-random-variables?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Indefinite integrals: sums & multiples | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/YwR_82jgJ_Q/default.jpg URL=http://www.youtube.com/watch?v=YwR_82jgJ_Q description=An indefinite integral of a sum is the same as the sum of the integrals of the component parts. Constants can be "taken out" of integrals. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/e/integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/v/rewriting-integrand-before-integrating?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/v/indefinite-integrals-of-x-raised-to-a-power?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A message from Sal Khan for the Khan Academy 2016 Annual Report thumb=https://i.ytimg.com/vi/AK9OVktYzwY/default.jpg URL=http://www.youtube.com/watch?v=AK9OVktYzwY description=Our founder and CEO, Sal Khan, shares our accomplishments from the past year and provides a sneak peek of what’s to come./description type=video name=Horizontal area between curves | Applications of definite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/B5441_DREY0/default.jpg URL=http://www.youtube.com/watch?v=B5441_DREY0 description=We can use a definite integral in terms of _ to find the horizontal area between curves of two functions of _. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-horizontal-area/e/area-between-a-curve-and-the-y-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vol-cross-sections/v/volume-solid-semicircle-cross-section?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-horizontal-area/v/area-between-curve-and-y-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area between a curve and and the _-axis | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/6XqsLv0QDUE/default.jpg URL=http://www.youtube.com/watch?v=6XqsLv0QDUE description=We can use a definite integral in terms of _ to find the area between a curve and the _-axis. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-horizontal-area/v/area-between-two-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/v/area-between-curves-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: separable differential equations | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/UAcRCt9pEDI/default.jpg URL=http://www.youtube.com/watch?v=UAcRCt9pEDI description=Two worked examples of finding general solutions to separable differential equations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/e/separable-differential-equations-find-the-error?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/identifying-separable-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/addressing-treating-differentials-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integration by parts: definite integrals | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/vS3bpx5ubBI/default.jpg URL=http://www.youtube.com/watch?v=vS3bpx5ubBI description=When finding a definite integral using integration by parts, we should first find the antiderivative (as we do with indefinite integrals), but then we should also evaluate the antiderivative at the boundaries and subtract. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/e/integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-partial-fractions/v/partial-fraction-expansion-to-integrate?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integration-by-parts-of-e-x-cos-x-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A message from Sal Khan for the Khan Academy 2016 Annual Report thumb=https://i.ytimg.com/vi/816YzKynf6Y/default.jpg URL=http://www.youtube.com/watch?v=816YzKynf6Y description=Our founder and CEO, Sal Khan, shares our accomplishments from the past year and provides a sneak peek of what’s to come. For the full annual report, go to Khanacademy.org/AnnualReport/description type=video name=Rewriting before integrating | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/hzSef_HVqz4/default.jpg URL=http://www.youtube.com/watch?v=hzSef_HVqz4 description=Some indefinite integrals are much simpler to integrate by algebraically rewriting the integrand first. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/e/reverse-power-rule-rewriting?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-common-indefinite-int/v/antiderivative-of-x-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/v/indefinite-integral-properties?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Rewriting limit of Riemann sum as definite integral | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Himr2l8Rd18/default.jpg URL=http://www.youtube.com/watch?v=Himr2l8Rd18 description=When given a limit of Riemann sum with infinite rectangles, we can analyze the expression to find the corresponding definite integral. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/e/the-definite-integral-as-the-limit-of-a-riemann-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/breaking-integral-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/v/rewriting-definite-integral-as-limit-of-riemann-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Rewriting definite integral as limit of Riemann sum | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/eidemLqiPyQ/default.jpg URL=http://www.youtube.com/watch?v=eidemLqiPyQ description=Given a definite integral expression, we can write the corresponding limit of a Riemann sum with infinite rectangles. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/e/the-definite-integral-as-the-limit-of-a-riemann-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/v/writing-riemann-sum-limit-as-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/v/riemann-sums-and-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked examples: Summation notation | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/luSh3hz_b18/default.jpg URL=http://www.youtube.com/watch?v=luSh3hz_b18 description=Summation notation uses the sigma _ symbol to represent sums with multiple terms. See some more involved examples of how we read expressions in summation notation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-summation-notation/e/sigma-notation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/v/generalizing-a-left-riemann-sum-with-equally-spaced-rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-summation-notation/v/sigma-notation-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2017 AP Calculus AB/BC 4c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/0DGrdJA5Mx4/default.jpg URL=http://www.youtube.com/watch?v=0DGrdJA5Mx4 description=Potato problem from 2017 AP exam (Question 4, part c). Finding a particular solution for a separable differential equation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-1ab?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2017/v/2017-ap-calculus-abbc-4b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2017 AP Calculus AB/BC 4b | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/OzhjlMnQ114/default.jpg URL=http://www.youtube.com/watch?v=OzhjlMnQ114 description=Potato problem from 2017 AP exam (Question 4, part b). Taking the second derivative using the chain rule to think about concavity. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2017/v/2017-ap-calculus-abbc-4c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2017/v/2017-ap-calculus-abbc-4a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2017 AP Calculus AB/BC 4a | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/tMA17GzO0TY/default.jpg URL=http://www.youtube.com/watch?v=tMA17GzO0TY description=Potato problem from 2017 AP exam (Question 4). Finding and using the equation of a tangent line to approximate solution to differential equation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2017/v/2017-ap-calculus-abbc-4b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/part-2-of-shell-method-with-2-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Midpoint sums | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/kJ57S0Z4Vp8/default.jpg URL=http://www.youtube.com/watch?v=kJ57S0Z4Vp8 description=Approximating area under a curve using rectangle where the heights are the value of the function at the midpoint of each interval. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-midpoint-trapezoid/e/trapezoid-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-midpoint-trapezoid/v/trapezoidal-approximation-of-area-under-curve?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/v/riemann-sums-over-under-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integrals intro | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/0dDIPzqKgYk/default.jpg URL=http://www.youtube.com/watch?v=0dDIPzqKgYk description=Introducing definite integrals, which represent the net area under a curve. Learn what this exactly means and about the notation we use to write them. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/e/understanding-the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/v/evaluating-definite-integral-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/v/introduction-to-integral-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy in the classroom | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Tx-AtZOJYfE/default.jpg URL=http://www.youtube.com/watch?v=Tx-AtZOJYfE description=Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-about-the-course/v/sal-interviews-the-ap-calculus-lead-at-college-board?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Meet Jeff, a creator of AP Statistics on Khan Academy | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/BW01z2hmBMY/default.jpg URL=http://www.youtube.com/watch?v=BW01z2hmBMY description=A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP Statistics. Today Jeff is Khan AcademyÕs math content creator. He is hard at work creating new exercises and articles for AP Statistics (thank you, Jeff!). View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/introduction-data/v/meet-jeff-a-creator-of-ap-statistics-on-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Inflection points from graphs of function & derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/YBQUw0NhqgU/default.jpg URL=http://www.youtube.com/watch?v=YBQUw0NhqgU description=Identifying inflection points from graphs of function, first derivative and second derivative. Graphs are done using Desmos.com. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/calculus-based-justification-using-second-derivative-max?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/v/inflection-points-graphically-given-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Inflection points from second derivative | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/DJkOeou9oWw/default.jpg URL=http://www.youtube.com/watch?v=DJkOeou9oWw description=Recognizing inflection points of function _ from the graph of its second derivative _''. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/e/points-of-inflection--graphical-?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/second-derivative-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/inflection-points-graphically-given-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Existence theorems intro | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/EHzKIR3RuxE/default.jpg URL=http://www.youtube.com/watch?v=EHzKIR3RuxE description=Overview of the Intermediate Value Theorem, the Extreme Value Theorem and the Mean Value Theorem. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/intermediate-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-adv-derivatives-opt-vids/v/derivative-natural-logarithm?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying f, f', and f'' based on graphs thumb=https://i.ytimg.com/vi/b1ZaBpRT5-8/default.jpg URL=http://www.youtube.com/watch?v=b1ZaBpRT5-8 description=Worked example matching a function, its first derivative and its second derivative to the appropriate graph./description type=video name=Differentiating using multiple rules: strategy | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Qgj2_4r3VBs/default.jpg URL=http://www.youtube.com/watch?v=Qgj2_4r3VBs description=How to analyze the structure of an elaborate expression do determine which derivative rules to use, and (not less important) in what order. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/e/differentiating-using-multiple-rules-strategy?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/applying-the-chain-rule-and-product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/quotient-rule-from-product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Differentiating related functions | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/C3MI_mspN3o/default.jpg URL=http://www.youtube.com/watch?v=C3MI_mspN3o description=Sometimes we have an equation that relates to functions of the same variable. Learn how to use implicit differentiation to find the derivatives of the functions with respect to that variable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/e/implicit-differentiation-of-related-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/showing-explicit-and-implicit-differentiation-give-same-result?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/differentiating-related-functions-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiating related functions intro | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Mj_2fVKWa0k/default.jpg URL=http://www.youtube.com/watch?v=Mj_2fVKWa0k description=Sometimes we have an equation that relates to functions of the same variable. Using the chain rule, we can find the derivatives of those functions with respect to that variable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/e/implicit-differentiation-of-related-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/differentiating-related-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/finding-slope-of-tangent-line-with-implicit-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying the chain rule twice | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/eY1LuoSfiys/default.jpg URL=http://www.youtube.com/watch?v=eY1LuoSfiys description=Worked example applying the chain rule twice. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/e/derivatives-capstone?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-second-derivatives/v/second-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/applying-the-chain-rule-and-product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying the chain rule and product rule | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/QqAPCIIdx-E/default.jpg URL=http://www.youtube.com/watch?v=QqAPCIIdx-E description=Example showing multiple strategies for taking a derivative that involves both the product rule and the chain rule. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/e/derivatives-capstone?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/applying-chain-rule-twice?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/differentiating-using-multiple-rules-strategy?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quotient rule | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WqzY3xibFL8/default.jpg URL=http://www.youtube.com/watch?v=WqzY3xibFL8 description=Introduction to the quotient rule, which tells us how to take the derivative of a quotient of functions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/e/differentiate-quotients?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/v/quotient-rule-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/v/product-rule-example-mixed-implicit-explicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: the derivative of ln(x) is 1/x | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/3LgfZ4bQ-yc/default.jpg URL=http://www.youtube.com/watch?v=3LgfZ4bQ-yc description=Proving that the derivative of ln(x) is 1/x by using the definition of the derivative as a limit, the properties of logarithms, and the definition of _ as a limit. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-adv-derivatives-opt-vids/v/derivative-natural-logarithm?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-adv-derivatives-opt-vids/v/proof-of-derivative-of-ex?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: The derivative of __ is __ | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/SFWN-TkVFyI/default.jpg URL=http://www.youtube.com/watch?v=SFWN-TkVFyI description=Proving that the derivative of __ is __ using the definition of the derivative as a limit, and the definition of _ as a limit. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-adv-derivatives-opt-vids/v/proof-of-derivative-of-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/derivative-log-properties?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of the derivative of cos(x) | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/PszFmdiMUcs/default.jpg URL=http://www.youtube.com/watch?v=PszFmdiMUcs description=Using the fact that the derivative of sin(x) is cos(x), we use visual aides to show that the derivative of cos(x) is -sin(x). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/product-rule-proof?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/derivative-of-sin-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/UwFlrPNf5ZE/default.jpg URL=http://www.youtube.com/watch?v=UwFlrPNf5ZE description=Intuition of why the derivative of sin(x) is cos(x) and the derivative of cos(x) is -sin(x). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-sin-cos/e/differentiate-sine-and-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-sin-cos/e/differentiate-sine-and-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/v/tangent-line-intercept?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit of sin(x)/x as x approaches 0 | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5xitzTutKqM/default.jpg URL=http://www.youtube.com/watch?v=5xitzTutKqM description=Showing that the limit of sin(x)/x as x approaches 0 is equal to 1. If you find this fact confusing, you've reached the right place! Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/1-cosx-over-x-as-x-approaches-0?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/proof-d-dx-sqrt-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit of (1-cos(x))/x as x approaches 0 | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Ojtwh8XDF8M/default.jpg URL=http://www.youtube.com/watch?v=Ojtwh8XDF8M description=Showing that the limit of (1-cos(x))/x as x approaches 0 is equal to 0. This will be useful for proving the derivative of sin(x). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/derivative-of-sin-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/sinx-over-x-as-x-approaches-0?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Local linearity and differentiability | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/h2lARdo7Xko/default.jpg URL=http://www.youtube.com/watch?v=h2lARdo7Xko description=Intuition for how local linearity relates to differentiability using the Desmos graphing calculator. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/e/derivative-at-a-point-as-slope-of-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intro-opt-vids/v/differentiability-implies-continuity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/v/local-linearization-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiability and continuity | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/xuAiQOzIkWY/default.jpg URL=http://www.youtube.com/watch?v=xuAiQOzIkWY description=Defining differentiability and getting an intuition for the relationship between differentiability and continuity. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/e/differentiability-at-a-point-graphical?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-graphical?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-defining-derivative/v/calculus-derivatives-2-5-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimating derivatives | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/jvYZNp5myXg/default.jpg URL=http://www.youtube.com/watch?v=jvYZNp5myXg description=Estimating derivative at a point using the slope of a secant line connecting points around that point. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-estimate-derivatives/e/estimate-derivatives-from-tables?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/v/slope-of-a-secant-line-arbitrary-difference?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-estimate-derivatives/v/secant-lines-and-average-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Secant lines & average rate of change | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/0z_MDIWMBwU/default.jpg URL=http://www.youtube.com/watch?v=0z_MDIWMBwU description=Understanding average rate of change and its relation to slope of a secant line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-estimate-derivatives/e/secants-and-average-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-estimate-derivatives/v/estimating-derivative-at-a-point?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intuition/v/interpreting-slope-of-a-curve-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative as a concept | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/N2PpRnFqnqY/default.jpg URL=http://www.youtube.com/watch?v=N2PpRnFqnqY description=Why we study differential calculus. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intuition/v/derivative-as-a-concept?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-opt-vids/v/proving-a-limit-using-epsilon-delta-definition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits of trigonometric functions | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5_zxtSyTfOY/default.jpg URL=http://www.youtube.com/watch?v=5_zxtSyTfOY description=Appreciating that all trigonometric functions are continuous over their domains. Because of that, a limit to a point in a trig function's domain will be the value of the function at that point. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-trig-and-squeeze/v/trig-limit-using-pythagorean-identity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-factor-and-ratio/v/limits-by-rationalizing?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Analyzing the difference in distributions | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/_Pq547nYFaE/default.jpg URL=http://www.youtube.com/watch?v=_Pq547nYFaE description=Finding the probability that a randomly selected woman is taller than a randomly selected man by understanding the distribution of the difference of normally distributed variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/combining-random-variables/v/analyzing-the-difference-in-distributions?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example: Transforming a discrete random variable | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/nb3m_Q7rfT4/default.jpg URL=http://www.youtube.com/watch?v=nb3m_Q7rfT4 description=Example of transforming a discrete random variable. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/transforming-random-variables/v/example-transforming-a-discrete-random-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example: Analyzing distribution of sum of two normally distributed random variables | Khan Academy thumb=https://i.ytimg.com/vi/Z6vANdo1L68/default.jpg URL=http://www.youtube.com/watch?v=Z6vANdo1L68 description=Finding the probability that the total of some random variables exceeds an amount by understanding the distribution of the sum of normally distributed variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/combining-random-variables/v/analyzing-distribution-of-sum-of-two-normally-distributed-random-variables?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Probabilities from density curves | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/3E8BO7VRMEA/default.jpg URL=http://www.youtube.com/watch?v=3E8BO7VRMEA description=Examples finding probabilities from probability distributions for continuous random variables. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/continuous-random-variables/v/probabilities-from-density-curves?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Variance and standard deviation of a discrete random variable | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/2egl_5c8i-g/default.jpg URL=http://www.youtube.com/watch?v=2egl_5c8i-g description=Finding the variance and standard deviation of a discrete random variable. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/discrete-random-variables/v/variance-and-standard-deviation-of-a-discrete-random-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Mean (expected value) of a discrete random variable | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/qafPcWNUiM8/default.jpg URL=http://www.youtube.com/watch?v=qafPcWNUiM8 description=Finding the mean (or expected value) of a discrete random variable. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/discrete-random-variables/v/expected-value-of-a-discrete-random-variable?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Probability with discrete random variable example | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/d2STHFVHGAg/default.jpg URL=http://www.youtube.com/watch?v=d2STHFVHGAg description=Example analyzing discrete probability distribution. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/discrete-random-variables/v/example-analyzing-discrete-probability-distribution?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Valid discrete probability distribution examples | Random variables | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/uXtxKxYl1Iw/default.jpg URL=http://www.youtube.com/watch?v=uXtxKxYl1Iw description=Worked examples on identifying valid discrete probability distributions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/random-variables-ap/discrete-random-variables/v/valid-discrete-probability-distribution-examples?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditional probability tree diagram example | Probability | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hxEdXUB_IdQ/default.jpg URL=http://www.youtube.com/watch?v=hxEdXUB_IdQ description=Using a tree diagram to work out a conditional probability question. If someone fails a drug test, what is the probability that they actually are taking drugs? View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/v/conditional-probability-tree-diagram-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Conditional probability and independence | Probability | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/pIfpHdGVwLU/default.jpg URL=http://www.youtube.com/watch?v=pIfpHdGVwLU description=Use conditional probability to see if events are independent or not. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/stats-conditional-probability/v/testing-independence-from-experimental-data?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Random numbers for experimental probability | Probability | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/vjGINFbV8Cs/default.jpg URL=http://www.youtube.com/watch?v=vjGINFbV8Cs description=Using a list of random number to calculate an experimental probability. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/randomness-probability-simulation/v/random-numbers-for-experimental-probability?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Random number list to run experiment | Probability | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/2AVLfSRpmfg/default.jpg URL=http://www.youtube.com/watch?v=2AVLfSRpmfg description=Using a list of random numbers to simulate multiple trials of an experiment. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/randomness-probability-simulation/v/random-number-list-to-run-experiment?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Experimental versus theoretical probability simulation | Probability | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Nos-xOCpQqg/default.jpg URL=http://www.youtube.com/watch?v=Nos-xOCpQqg description=Experimental versus theoretical probability simulation. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/probability-ap/randomness-probability-simulation/v/experimental-versus-theoretical-probability-simulation?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Impact of removing outliers on regression lines | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/TbS7S7lb9Es/default.jpg URL=http://www.youtube.com/watch?v=TbS7S7lb9Es description=Impact of removing outliers on slope, y-intercept and r of least-squares regression lines. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/assessing-fit-least-squares-regression/v/impact-of-removing-outliers-on-regression-lines?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting computer regression data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/sIJj7Q77SVI/default.jpg URL=http://www.youtube.com/watch?v=sIJj7Q77SVI description=Interpreting computer generated regression data to find the equation of a least-squares regression line. Predictors and coefficients. S and R-squared. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/interpreting-computer-regression-data?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Standard deviation of residuals or Root-mean-square error (RMSD) thumb=https://i.ytimg.com/vi/zMFdb__sUpw/default.jpg URL=http://www.youtube.com/watch?v=zMFdb__sUpw description=Calculating the standard deviation of residuals (or root-mean-square error (RMSD) or root-mean-square deviation (RMSD)) to measure disagreement between a linear regression model and a set of data./description type=video name=Threshold for low percentile | Modeling data distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/umYWWMfxUCI/default.jpg URL=http://www.youtube.com/watch?v=umYWWMfxUCI description=Find the cutoff for a given lower percentile in a normal distribution. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/normal-distributions-calculations/v/threshold-for-low-percentile?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Residual plots | Exploring bivariate numerical data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VamMrPZ-8fc/default.jpg URL=http://www.youtube.com/watch?v=VamMrPZ-8fc description=Creating and analyzing residual plots based on regression lines. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/assessing-fit-least-squares-regression/v/residual-plots?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating the equation of a regression line | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/FGesqq22TCM/default.jpg URL=http://www.youtube.com/watch?v=FGesqq22TCM description=Calculating the equation of a least-squares regression line. Intuition for why this equation makes sense. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/calculating-the-equation-of-a-regression-line?utm_source=youtube&utm_medium=desc&utm_apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating correlation coefficient r | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/u4ugaNo6v1Q/default.jpg URL=http://www.youtube.com/watch?v=u4ugaNo6v1Q description=Calculating correlation coefficient r. Intuition behind the calculation and r. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/correlation-coefficient-r/v/calculating-correlation-coefficient-r?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Finding z-score for a percentile | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/S5_5KyCVjrU/default.jpg URL=http://www.youtube.com/watch?v=S5_5KyCVjrU description=Example finding the minimum z-score and numerical threshold to be in a given percentile in a normal distribution. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/normal-distributions-calculations/v/finding-z-score-for-a-percentile?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Standard normal table for proportion between values | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/uwhV0TAPmWc/default.jpg URL=http://www.youtube.com/watch?v=uwhV0TAPmWc description=Finding the proportion of a normal distribution that is between two values by calculating z-scores and using a z-table. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/normal-distributions-calculations/v/z-table-for-proportion-between-values?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Standard normal table for proportion above | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/i9FzFfv1rQg/default.jpg URL=http://www.youtube.com/watch?v=i9FzFfv1rQg description=Finding the proportion of a normal distribution that is above a value by calculating a z-score and using a z-table. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/normal-distributions-calculations/v/z-table-for-proportion-above?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Standard normal table for proportion below | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Fo4kitkFB3I/default.jpg URL=http://www.youtube.com/watch?v=Fo4kitkFB3I description=Finding the proportion of a normal distribution that is below a value by calculating a z-score and using a z-table. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/normal-distributions-calculations/v/z-table-for-proportion-below?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example finding area under density curves | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Tu3O9tC3Eh8/default.jpg URL=http://www.youtube.com/watch?v=Tu3O9tC3Eh8 description=Worked example finding area under density curves. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/density-curves/v/worked-example-finding-area-under-density-curves?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Density curve worked example | Modeling data distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/P5y83-ZnQeo/default.jpg URL=http://www.youtube.com/watch?v=P5y83-ZnQeo description=Analyzing skew, median, mean and height of a density curve. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/density-curves/v/density-curve-worked-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Median, mean and skew from density curves | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/JFesFhraX2M/default.jpg URL=http://www.youtube.com/watch?v=JFesFhraX2M description=High level analysis of density curves. A focus on median, mean, left-skew and right-skew. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/density-curves/v/median-mean-and-skew-from-density-curves?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Density Curves | Modeling data distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/PUvUQMQ7xQk/default.jpg URL=http://www.youtube.com/watch?v=PUvUQMQ7xQk description=An introduction to density curves for visualizing distributions. A brief review of frequency histograms and relative frequency histograms as well. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/density-curves/v/density-curves?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example: distance and displacement from position-time graphs | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/az6i2qvI1E0/default.jpg URL=http://www.youtube.com/watch?v=az6i2qvI1E0 description=Worked examples finding displacement and distance from position-time graphs. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/distance-displacement-and-coordinate-systems/v/examples-interpreting-position-time-graphs?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Regrouping to add 1-digit number | Addition and subtraction | 1st grade | Khan Academy thumb=https://i.ytimg.com/vi/G1cNKc3PD74/default.jpg URL=http://www.youtube.com/watch?v=G1cNKc3PD74 description=Sal adds 35 + 6. Watch the next lesson: https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-two-dig-intro/v/adding-by-getting-to-group-of-10-first?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-two-dig-intro/v/breaking-apart-two-digit-addition-problems?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade 1st grade on Khan Academy: Learn the numbers from 0 to 120. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 1st grade channel: https://www.youtube.com/channel/UCjx0ArXdDqI5GeBHKGuU-EQ?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Breaking apart 2-digit addition problems | Addition and subtraction | 1st grade | Khan Academy thumb=https://i.ytimg.com/vi/UjfmOmPARyk/default.jpg URL=http://www.youtube.com/watch?v=UjfmOmPARyk description=Sal thinks about different ways to break up addition problems. Watch the next lesson: https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-two-dig-intro/v/regrouping-when-adding-two-digit-and-one-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-two-dig-intro/v/adding-two-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade 1st grade on Khan Academy: Learn the numbers from 0 to 120. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 1st grade channel: https://www.youtube.com/channel/UCjx0ArXdDqI5GeBHKGuU-EQ?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding 2-digit numbers without regrouping 1 | Addition and subtraction | 1st grade | Khan Academy thumb=https://i.ytimg.com/vi/EV38zfiY6Vs/default.jpg URL=http://www.youtube.com/watch?v=EV38zfiY6Vs description=Sal adds 71 + 24. Watch the next lesson: https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-two-dig-intro/v/adding-two-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-ones-tens/v/understanding-place-value-when-adding-ones?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade 1st grade on Khan Academy: Learn the numbers from 0 to 120. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 1st grade channel: https://www.youtube.com/channel/UCjx0ArXdDqI5GeBHKGuU-EQ?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding 1 vs. adding 10 | Addition and subtraction | 1st grade | Khan Academy thumb=https://i.ytimg.com/vi/mKsKU0BAiRM/default.jpg URL=http://www.youtube.com/watch?v=mKsKU0BAiRM description=Sal talks about the difference between adding 1 and adding 10. Watch the next lesson: https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-ones-tens/v/understanding-place-value-while-adding-tens?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-word-problems-more-fewer-20/v/more-comparison-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade 1st grade on Khan Academy: Learn the numbers from 0 to 120. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 1st grade channel: https://www.youtube.com/channel/UCjx0ArXdDqI5GeBHKGuU-EQ?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparison word problems: roly-polies | Addition and subtraction | 1st grade | Khan Academy thumb=https://i.ytimg.com/vi/3rs7sFPoiZ4/default.jpg URL=http://www.youtube.com/watch?v=3rs7sFPoiZ4 description=Sal solves word problems comparing 2 numbers. Numbers in the problems are less than 10. Watch the next lesson: https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-add-ones-tens/v/comparing-adding-1-and-10?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-1st-grade-math/cc-1st-add-subtract/cc-1st-word-problems-more-fewer-20/v/comparison-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=1stgrade 1st grade on Khan Academy: Learn the numbers from 0 to 120. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 1st grade channel: https://www.youtube.com/channel/UCjx0ArXdDqI5GeBHKGuU-EQ?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Position-time graphs | One-dimensional motion | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/9XxzIoUQd78/default.jpg URL=http://www.youtube.com/watch?v=9XxzIoUQd78 description=Using position-time graphs and number lines to find displacement and distance traveled. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/distance-displacement-and-coordinate-systems/v/position-time-graphs?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Distance and displacement in one dimension | One-dimensional motion | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/w2mbvtpQKrM/default.jpg URL=http://www.youtube.com/watch?v=w2mbvtpQKrM description=Using a one-dimensional number line to visualize and calculate distance and displacement. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/distance-displacement-and-coordinate-systems/v/distance-and-displacement-in-one-dimension?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Distance and displacement introduction | One-dimensional motion | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/vQCkYm3v3aA/default.jpg URL=http://www.youtube.com/watch?v=vQCkYm3v3aA description=Using a one-dimensional number line to visualize and calculate distance and displacement. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/distance-displacement-and-coordinate-systems/v/distance-and-displacement-in-one-dimension?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The US Constitution | Period 3: 1754-1800 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/s4GUt8G4Wd8/default.jpg URL=http://www.youtube.com/watch?v=s4GUt8G4Wd8 description=The US Constitution established three branches of government: legislative, executive, and judicial. In this video, Kim Kutz Elliott discusses how the Framers employed the concepts of separation of powers and checks and balances to limit the power of government. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/road-to-revolution/creating-a-nation/v/the-us-constitution?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Constitutional Convention | Period 3: 1754-1800 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/M0UTy_s01pw/default.jpg URL=http://www.youtube.com/watch?v=M0UTy_s01pw description=In 1787, the Framers of the US Constitution came together to create a stronger central government. In this video, Kim Kutz Elliott discusses how the Framers compromised over the plan for the legislative branch of government, combining the Virginia Plan and New Jersey Plan to form the House of Representatives and the Senate. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/road-to-revolution/creating-a-nation/v/the-constitutional-convention?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Articles of Confederation | Period 3: 1754-1800 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/NfFRNgyQebE/default.jpg URL=http://www.youtube.com/watch?v=NfFRNgyQebE description=Before the United States had the Constitution, it had the Articles of Confederation, a much weaker government that lasted from 1777 to 1789. In this video, Kim Kutz Elliott and Leah Cabrera-Marquez discuss the pros and cons of the Articles, and the reasons they were discarded in favor of a new Constitution. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/road-to-revolution/creating-a-nation/v/the-articles-of-confederation?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Declaration of Independence | Period 3: 1754-1800 | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/Ug8amZRFrZs/default.jpg URL=http://www.youtube.com/watch?v=Ug8amZRFrZs description="We hold these truths to be self-evident, that all men are created equal . . . " In this video, Kim Kutz Elliott explores the origins of the Declaration of Independence in the ideas of Enlightenment philosopher John Locke and its resounding message in history. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-history/road-to-revolution/the-american-revolution/v/the-declaration-of-independence?utm_source=youtube&utm_medium=desc&utm_campaign=apushistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How did Russia begin? | 1450 - Present | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/P58tMgZ4v0A/default.jpg URL=http://www.youtube.com/watch?v=P58tMgZ4v0A description=Using the Russian Primary Chronicle to explore the early Nordic and Slavic beginnings of the "Land of Rus'" or the "Kievan State", including the start of the Rurukid Dynasty by Rurik. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation/russian-empire/v/how-did-russia-begin?utm_source=youtube&utm_medium=desc&utm_campaign=worldshistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Types of discontinuities | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/NVGBq_V-F6U/default.jpg URL=http://www.youtube.com/watch?v=NVGBq_V-F6U description=A function being continuous at a point means that the two-sided limit at that point exists and is equal to the function's value. Point/removable discontinuity is when the two-sided limit exists but isn't equal to the function's value. Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't equal. Asymptotic/infinite discontinuity is when the two-sided limit doesn't exist because t's unbounded. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-discontinuities/v/limit-of-piecewise-function-that-is-defined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limit-at-infinity-involving-trig-undefined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Functions with same limit at infinity | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/H_Nm3qGE65s/default.jpg URL=http://www.youtube.com/watch?v=H_Nm3qGE65s description=A limit at infinity (like any other limit) describes the behavior of a function but it isn't unique to that function. Many different functions can have the same limit at infinity. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/unbounded-limits-algebraic-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/infinite-limits-and-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Infinite limits and asymptotes | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/6BwDYdfw9NQ/default.jpg URL=http://www.youtube.com/watch?v=6BwDYdfw9NQ description=Unbounded limits are represented graphically by vertical asymptotes and limits at infinite are represented graphically by horizontal asymptotes. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/functions-with-same-limit-at-inifinity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/limits-and-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Continuity over an interval | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ENIQiqxFpBc/default.jpg URL=http://www.youtube.com/watch?v=ENIQiqxFpBc description=A function Ä is continuous over the open interval (a,b) iff it's continuous on every point in (a,b). Ä is continuous over the closed interval [a,b] iff it's continuous on (a,b), the right-sided limit of Ä at x=a is Ä(a) and the left-sided limit of Ä at x=b is Ä(b). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/functions-continuous-on-all-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/continuity-at-a-point-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Better Takes Practice: The Full Story - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/BVqUmxb9NGI/default.jpg URL=http://www.youtube.com/watch?v=BVqUmxb9NGI type=video name=Graphical limit example thumb=https://i.ytimg.com/vi/tckDZCRgbJA/default.jpg URL=http://www.youtube.com/watch?v=tckDZCRgbJA description=Graphical limit example/description type=video name=Connecting limits and graphical behavior | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/l6FX_r_Tkls/default.jpg URL=http://www.youtube.com/watch?v=l6FX_r_Tkls description=When we read a one-sided limit from a table, we are only interested in the value the function approaches from a single direction (either left or right). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/connecting-limits-and-graphical-behavior?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/one-sided-limits-from-graphs-asymptote?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Better Takes Practice: Ian - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/QE9TzvPQOXM/default.jpg URL=http://www.youtube.com/watch?v=QE9TzvPQOXM description=Real students. Real progress. Meet the students at Oak Ridge High School in Orlando, Florida who understand the power of practice. Get ready for the SAT with Official SAT Practice on Khan Academy, it's 100% free. Start now: http://khan.co/SAT-BetterTakesPractice-7/description type=video name=Better Takes Practice: Gillian - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/Ra5QQ2CmprQ/default.jpg URL=http://www.youtube.com/watch?v=Ra5QQ2CmprQ description=Real students. Real progress. Meet the students at Oak Ridge High School in Orlando, Florida who understand the power of practice. Get ready for the SAT with Official SAT Practice on Khan Academy, it's 100% free. Start now: http://khan.co/SAT-BetterTakesPractice-6/description type=video name=Better Takes Practice: Diana - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/22G9ylLr_I0/default.jpg URL=http://www.youtube.com/watch?v=22G9ylLr_I0 description=Real students. Real progress. Meet the students at Oak Ridge High School in Orlando, Florida who understand the power of practice. Get ready for the SAT with Official SAT Practice on Khan Academy, it's 100% free. Start now: http://khan.co/SAT-BetterTakesPractice-5/description type=video name=Better Takes Practice: Azulaye - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/PomqUoIpPD8/default.jpg URL=http://www.youtube.com/watch?v=PomqUoIpPD8 description=Real students. Real progress. Meet the students at Oak Ridge High School in Orlando, Florida who understand the power of practice. Get ready for the SAT with Official SAT Practice on Khan Academy, it's 100% free. Start now: http://khan.co/SAT-BetterTakesPractice-4/description type=video name=Better Takes Practice: Cameron - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/5m3_Kre_M4Y/default.jpg URL=http://www.youtube.com/watch?v=5m3_Kre_M4Y description=Real students. Real progress. Meet the students at Oak Ridge High School in Orlando, Florida who understand the power of practice. Get ready for the SAT with Official SAT Practice on Khan Academy, it's 100% free. Start now: http://khan.co/SAT-BetterTakesPractice-3/description type=video name=Title: Better Takes Practice: D'Andre - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/SScIF54S1_8/default.jpg URL=http://www.youtube.com/watch?v=SScIF54S1_8 description=Real students. Real progress. Meet the students at Oak Ridge High School in Orlando, Florida who understand the power of practice. Get ready for the SAT with Official SAT Practice on Khan Academy, it's 100% free. Start now: http://khan.co/SAT-BetterTakesPractice-2/description type=video name=Better Takes Practice - Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/Pb8ic8vk4CM/default.jpg URL=http://www.youtube.com/watch?v=Pb8ic8vk4CM description=Real students. Real progress. Meet the students at Oak Ridge High School in Orlando, Florida who understand the power of practice. Get ready for the SAT with Official SAT Practice on Khan Academy, it's 100% free. Start now: Visit http://khan.co/SAT-BetterTakesPractice-1/description type=video name=Comparing Roman and Byzantine Empires | AP US History | Khan Academy thumb=https://i.ytimg.com/vi/Fx4l41R5nxY/default.jpg URL=http://www.youtube.com/watch?v=Fx4l41R5nxY description=Similarities and differences between the Roman Empire and the "Byzantine Empire" (which considered itself the continuation of the Roman Empire). View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/medieval-times/byzantine-empire/v/comparing-roman-and-byzantine-empires?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparison: Rise of empires | World History | Khan Academy thumb=https://i.ytimg.com/vi/g39owvSlC-g/default.jpg URL=http://www.youtube.com/watch?v=g39owvSlC-g description=Comparing what led to the rise of Achaemenid Persia, Maurya India, Han China, and the Roman Empire. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-states-and-empires/v/comparison-rise-of-empires?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Continuity-Sikhism connections to Hinduism and Islam | 1450 - Present | World History | Khan Academy thumb=https://i.ytimg.com/vi/lIHJcTf31NM/default.jpg URL=http://www.youtube.com/watch?v=lIHJcTf31NM description=Exploring Sikhism's cultural and thematic connections to Hinduism and Islam. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation/sikhism/v/continuity-sikhism-connections-to-hinduism-and-islam?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Contextualization--Islam | World History | Khan Academy thumb=https://i.ytimg.com/vi/gB7ya6386iA/default.jpg URL=http://www.youtube.com/watch?v=gB7ya6386iA description=Why did Islam emerge and spread when and where it did? Why was it so rapid? World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Buddhism: context and comparison | World History | Khan Academy thumb=https://i.ytimg.com/vi/OmFgyJRj66I/default.jpg URL=http://www.youtube.com/watch?v=OmFgyJRj66I description=Why did Buddhism emerge when and where it did? Are there other historical parallels to the emergence of Buddhism? World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/ancient-medieval/buddhism-intro/v/contextualization-buddhism?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=International Human Rights | 1450 - Present | World History | Khan Academy thumb=https://i.ytimg.com/vi/5CZ0oZ_lXSY/default.jpg URL=http://www.youtube.com/watch?v=5CZ0oZ_lXSY description=After the horrors of the first half of the 20th century, the world (through the United Nations) tries to articulate universal human rights. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/euro-hist/human-rights/v/international-human-rights?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The Scientific Revolution and the Age of Enlightenment | World History | Khan Academy thumb=https://i.ytimg.com/vi/7vL4-Ophj5s/default.jpg URL=http://www.youtube.com/watch?v=7vL4-Ophj5s description=An overview of how the Scientific Revolution catalyzed the Age of Enlightenment with a discussion of the degree to which Enlightenment ideas have or even can be fulfilled. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Frankish women in the Carolingian Dynasty primary source | World History | Khan Academy thumb=https://i.ytimg.com/vi/-p7_TQ84cpk/default.jpg URL=http://www.youtube.com/watch?v=-p7_TQ84cpk description=A discussion of a primary source on Frankish women in the Carolingian Dynasty. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Japanese Imperialism | World History | Khan Academy thumb=https://i.ytimg.com/vi/p5SkpVqjWmg/default.jpg URL=http://www.youtube.com/watch?v=p5SkpVqjWmg description=An overview of Japanese Imperialism in the 19th and 20th centuries. Discussion of imperial powers in East Asia, the Opium Wars and the Meiji Restoration. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Opium Wars | World History | Khan Academy thumb=https://i.ytimg.com/vi/VlZpo580bA8/default.jpg URL=http://www.youtube.com/watch?v=VlZpo580bA8 description=The British wage two wars on China to have better access to Chinese markets, especially to sell opium grown in British India. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Holocaust | World History | Khan Academy thumb=https://i.ytimg.com/vi/xjh0L2Km_cs/default.jpg URL=http://www.youtube.com/watch?v=xjh0L2Km_cs description=An overview of Holocaust including to an overview of the events that led up to it. Includes overviews of the Nazi Party, Mein Kampf, Nuremberg Laws, etc. Discussion of the term "genocide". World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Independence movements in the 20th Century | World History | Khan Academy thumb=https://i.ytimg.com/vi/8xIA10NQakI/default.jpg URL=http://www.youtube.com/watch?v=8xIA10NQakI description=Anti-colonial independence movement in places like India, Algeria, Nigeria gain momentum and prove successful in the 20th Century, especially after the end of World War II. The non-alignment movement. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Latin American Independence movements | 1450 - Present | World History | Khan Academy thumb=https://i.ytimg.com/vi/y6lIgVSvizk/default.jpg URL=http://www.youtube.com/watch?v=y6lIgVSvizk description=A series of independence movements in the Americas in the late 1700s and early 1800s are sparked by the Enlightenment and conflict in Europe. This includes revolutions that will lead to the United States, Haiti, Mexico, Venezuela, Columbia, Panama, Bolivia, Peru, Equador, Paraguay, Uruguay, Brazil and Argentina. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/1600s-1800s/latin-american-independence/v/latin-america-indepence?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Industrialization and imperialism | World History | Khan Academy thumb=https://i.ytimg.com/vi/fUDwPz9VmL0/default.jpg URL=http://www.youtube.com/watch?v=fUDwPz9VmL0 description=Thinking about how the Industrial Revolution(s) and capitalism helped catalyze far-flung imperialism during the 1800s. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting slope of regression line | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/PplggM0KtJ8/default.jpg URL=http://www.youtube.com/watch?v=PplggM0KtJ8 description=Interpreting slope of regression line. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/interpreting-slope-of-regression-line?utm_source=youtube&utm_medium=desc&utm_apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Interpreting y-intercept in regression model | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/00YVR5TSZqw/default.jpg URL=http://www.youtube.com/watch?v=00YVR5TSZqw description=Interpreting y-intercept in regression model. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/interpreting-y-intercept-in-regression-model?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Mughal rule in India | 1450 - Present | World History | Khan Academy thumb=https://i.ytimg.com/vi/mGnm89Rfi98/default.jpg URL=http://www.youtube.com/watch?v=mGnm89Rfi98 description=An overview of the first 6 Mughal emperors: Babar, Humayun, Akbar, Jahangir, Shah Jahan, and Aurangzeb. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation/mughal-dynasty/v/mughal-rule-in-india?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=This school year may be ending but we have lots to do for next year. thumb=https://i.ytimg.com/vi/7IthGldHD9U/default.jpg URL=http://www.youtube.com/watch?v=7IthGldHD9U description=Help us raise $1 million in three days! Your donation will help us develop free personalized learning materials that empower students and teachers for another successful school year. Please donate today! http://khanacademy.org/donate/description type=video name=Sikhism introduction | World History | Khan Academy thumb=https://i.ytimg.com/vi/925fZ4WKISo/default.jpg URL=http://www.youtube.com/watch?v=925fZ4WKISo description=An overview of the founding of the Sikh religion started by Guru Nanak. Discussion of persecution by the Mughals and militarization by Gurus Har Gobind, Teg Bahadur and Gobind Singh. Overview of Khalsa. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ottoman, Safavid and Mughal Empires | World History | Khan Academy thumb=https://i.ytimg.com/vi/hNpcQEGw3S4/default.jpg URL=http://www.youtube.com/watch?v=hNpcQEGw3S4 description=Overview of the Ottoman, Safavid and Mughal Empires and their Turko-Mongol origins. Discussions of devshirme, janissaries and ghulams. Gunpowder empires. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation/mughal-dynasty/v/ottoman-safavid-and-mughal-empires-world-history-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Khan Academy Live: SAT Writing thumb=https://i.ytimg.com/vi/_DoO43_hihI/default.jpg URL=http://www.youtube.com/watch?v=_DoO43_hihI description=Need help with SAT writing? Join Eric, one of Khan Academy’s SAT experts, for a live SAT writing class Tuesday, May 30 at 7 pm ET/4pm PT. It’s free! Eric will walk through key grammar concepts like subject-verb agreement and sentence punctuation. Can’t make it? We’ll record the class and post the link in this event after it’s over. Hope to see you in class! In the meantime, check out Official SAT Practice on Khan Academy. http://www.khanacademy.org/sat/description type=video name=Timur | 600 - 1450 Regional and interregional interactions | World History | Khan Academy thumb=https://i.ytimg.com/vi/5SJFZQ4zwLw/default.jpg URL=http://www.youtube.com/watch?v=5SJFZQ4zwLw description=The Black Death ravages the Ilkhanate. Timur (Timurlane) establishes the Timurid Empire. View more lessons or practice this subject at https://www.khanacademy.org/humanities/world-history/medieval-times/the-mongols/v/timur-world-history-khan-academy?utm_source=youtube&utm_medium=desc&utm_campaign=worldhistory Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Classical Japan during the Heian Period | World History | Khan Academy thumb=https://i.ytimg.com/vi/-5rBQO0VpWo/default.jpg URL=http://www.youtube.com/watch?v=-5rBQO0VpWo description=An overview of classical Japan. Chinese influence merges with Japanese culture. Tale of Genji by Lady Murasaki. Watch the next video: https://www.khanacademy.org/humanitie... World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything/description type=video name=Bhakti movement | World History | Khan Academy thumb=https://i.ytimg.com/vi/SZUipvwNx3w/default.jpg URL=http://www.youtube.com/watch?v=SZUipvwNx3w description=The Bhakti (devotional love) movement gains momentum during Medieval India, highlighting an alternative path for Moksha/Liberation in Hinduism. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why were the Mongols so effective? | World History | Khan Academy thumb=https://i.ytimg.com/vi/n-7xGKl2HX4/default.jpg URL=http://www.youtube.com/watch?v=n-7xGKl2HX4 description=Owing to their adaptability, their skill in communications, and their reputation for ferocity, the Mongols swept across Eurasia over the 13th and 14th centuries, quickly assembling the largest contiguous empire in world history. These non-state actors had to quickly learn how to become a state themselves./description type=video name=Knights Templar | World History | Khan Academy thumb=https://i.ytimg.com/vi/T9ACF4I4q0k/default.jpg URL=http://www.youtube.com/watch?v=T9ACF4I4q0k description=Overview of the Knights Templar and their role as international banking pioneers during the Crusades. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example estimating from regression line thumb=https://i.ytimg.com/vi/TWkYalFn8lo/default.jpg URL=http://www.youtube.com/watch?v=TWkYalFn8lo description=Example estimating from regression line/description type=video name=Introduction to residuals and least squares regression thumb=https://i.ytimg.com/vi/yMgFHbjbAW8/default.jpg URL=http://www.youtube.com/watch?v=yMgFHbjbAW8 description=Introduction to residuals and least squares regression/description type=video name=Calculating residual example | Exploring bivariate numerical data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/50ezMTE_BuA/default.jpg URL=http://www.youtube.com/watch?v=50ezMTE_BuA description=Calculating residual example. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/calculating-residual-example?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=How parameters change as data is shifted and scaled | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/JFlI4Vxtzxo/default.jpg URL=http://www.youtube.com/watch?v=JFlI4Vxtzxo description=See how transforming a data set by adding, subtracting, multiplying, or dividing a constant affects measures of center and spread. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/linear-transformations-data/v/how-parameters-change-as-data-is-shifted-and-scaled?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Comparing with z-scores | Modeling data distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/_rtQGAX5wsQ/default.jpg URL=http://www.youtube.com/watch?v=_rtQGAX5wsQ description=Use standardized scoresÑalso called z-scoresÑ to compare data points from different distributions. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/measuring-position/v/comparing-with-z-scores?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Calculating percentile | Modeling data distributions | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Ngyt8Q5tWkU/default.jpg URL=http://www.youtube.com/watch?v=Ngyt8Q5tWkU description=Learn how to calculate the percentile rank for a given data point. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/percentiles-cumulative-relative-frequency/v/calculating-percentile?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Analyzing a cumulative relative frequency graph | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/TwGYLQ-DNdc/default.jpg URL=http://www.youtube.com/watch?v=TwGYLQ-DNdc description=Find percentiles, median, quartiles, and IQR using a cumulative relative frequency graph. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/density-curves-normal-distribution-ap/percentiles-cumulative-relative-frequency/v/analyzing-a-cumulative-relative-frequency-graph?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Mean and standard deviation versus median and IQR | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/qNKOi08NxHs/default.jpg URL=http://www.youtube.com/watch?v=qNKOi08NxHs description=Learn to choose the "preferred" measures of center and spread when outliers are present in a set of data. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/measuring-spread-quantitative/v/mean-and-standard-deviation-versus-median-and-iqr?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Bivariate relationship linearity, strength and direction | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/30LcZqRfPRY/default.jpg URL=http://www.youtube.com/watch?v=30LcZqRfPRY description=Describe a bivariate relationship's linearity, strength, and direction. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/scatterplots-correlation/v/bivariate-relationship-linearity-strength-and-direction?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Khan Academy Live: SAT Reading (Hangouts on air) thumb=https://i.ytimg.com/vi/8hvvhH7-aLE/default.jpg URL=http://www.youtube.com/watch?v=8hvvhH7-aLE description=Ready for the reading portion of the SAT? Sharpen your skills with Eric, one of Khan Academy’s SAT experts. He’ll host a live SAT reading class Tuesday, May 23 at 7 pm ET/4pm PT. During the session, Eric will show you a proactive approach to answering reading questions, time management strategies, and walk through some real SAT reading questions. Can’t make it? We’ll record the class so you can watch it later. Hope to see you in class—it’s free! RSVP now for our other live SAT classes: https://khanacademy.typeform.com/to/HnmStQ In the meantime, check out Official SAT Practice: https://www.khanacademy.org/sat/description type=video name=Relating circumference and area thumb=https://i.ytimg.com/vi/-jqWW22FMdI/default.jpg URL=http://www.youtube.com/watch?v=-jqWW22FMdI description=Relating circumference and area/description type=video name=Example of shapes on a coordinate plane thumb=https://i.ytimg.com/vi/8V-PdgS2GKc/default.jpg URL=http://www.youtube.com/watch?v=8V-PdgS2GKc description=Example of shapes on a coordinate plane/description type=video name=Surface area word problem example thumb=https://i.ytimg.com/vi/ODNCH3gSKdA/default.jpg URL=http://www.youtube.com/watch?v=ODNCH3gSKdA description=Surface area word problem example/description type=video name=Finding height of a parallelogram thumb=https://i.ytimg.com/vi/SKe3ItfdzTY/default.jpg URL=http://www.youtube.com/watch?v=SKe3ItfdzTY description=Finding height of a parallelogram/description type=video name=Counting faces and edges of 3D shapes thumb=https://i.ytimg.com/vi/_y17uHBwa_8/default.jpg URL=http://www.youtube.com/watch?v=_y17uHBwa_8 description=Counting faces and edges of 3D shapes/description type=video name=Example finding area of triangle thumb=https://i.ytimg.com/vi/7N5orPxUoGo/default.jpg URL=http://www.youtube.com/watch?v=7N5orPxUoGo description=Example finding area of triangle/description type=video name=How volume changes from changing dimensions thumb=https://i.ytimg.com/vi/IShaLZ8CMXY/default.jpg URL=http://www.youtube.com/watch?v=IShaLZ8CMXY description=How volume changes from changing dimensions/description type=video name=Pythagorean theorem with right triangle thumb=https://i.ytimg.com/vi/TjOlZr_2uW4/default.jpg URL=http://www.youtube.com/watch?v=TjOlZr_2uW4 description=Pythagorean theorem with right triangle/description type=video name=Partial circle area and arc length thumb=https://i.ytimg.com/vi/YjWCDdNlXxc/default.jpg URL=http://www.youtube.com/watch?v=YjWCDdNlXxc description=Partial circle area and arc length/description type=video name=Example finding distance with Pythagorean theorem thumb=https://i.ytimg.com/vi/apkT6rVE8qo/default.jpg URL=http://www.youtube.com/watch?v=apkT6rVE8qo description=Example finding distance with Pythagorean theorem/description type=video name=Recognizing common 3D shapes thumb=https://i.ytimg.com/vi/tqxQSSzuXX0/default.jpg URL=http://www.youtube.com/watch?v=tqxQSSzuXX0 description=Recognizing common 3D shapes/description type=video name=Triangle missing side example thumb=https://i.ytimg.com/vi/wTkH288r84s/default.jpg URL=http://www.youtube.com/watch?v=wTkH288r84s description=Triangle missing side example/description type=video name=Area of an isosceles triangle thumb=https://i.ytimg.com/vi/yZ4CbopnVBg/default.jpg URL=http://www.youtube.com/watch?v=yZ4CbopnVBg description=Area of an isosceles triangle/description type=video name=Genghis Khan and the Mongol Empire thumb=https://i.ytimg.com/vi/PiIJFRqrQYk/default.jpg URL=http://www.youtube.com/watch?v=PiIJFRqrQYk description=An overview of how the Mongol Empire, founded by Genghis Khan in 1206, eventually becomes the largest contiguous empire in world history before splitting formally into the Yuan Dynasty, Golden Horde, Chagatai Khanate and Ilkhanate./description type=video name=The Columbian Exchange thumb=https://i.ytimg.com/vi/pLijVYVDKlc/default.jpg URL=http://www.youtube.com/watch?v=pLijVYVDKlc description=Columbus's voyage connected the Americas, Europe, and Africa in a web of exchange that transformed the environments of the Old World and the New World. In this video, Kim Kutz Elliott discusses the impact of the Columbian Exchange. US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Consequences of Columbus's voyage on the Tainos and Europe thumb=https://i.ytimg.com/vi/VbKB4dRO2jc/default.jpg URL=http://www.youtube.com/watch?v=VbKB4dRO2jc description=When Columbus arrived in the Caribbean, he met the Taino people. In this video, Kim explores the consequences of Columbus's voyage for the Taino people, as well as the changes wrought in Europe by Spain's New World exploits./description type=video name=Christopher Columbus thumb=https://i.ytimg.com/vi/83JI9i8DZbs/default.jpg URL=http://www.youtube.com/watch?v=83JI9i8DZbs description=Who was Christopher Columbus? In this video, Kim explores Columbus's background, his search for royal patronage, and his first voyage in 1492./description type=video name=Origins of European exploration in the Americas thumb=https://i.ytimg.com/vi/Wwk7__c7r50/default.jpg URL=http://www.youtube.com/watch?v=Wwk7__c7r50 description=In the late 1400s, several developments in Europe paved the way for European exploration in the Americas. In this video, Kim Kutz Elliott discusses how Portugal led the charge with new navigation technology, and how the unification of Spain set the stage for Columbus's voyage in 1492./description type=video name=Khan Academy Live: SAT Math thumb=https://i.ytimg.com/vi/QtOY8O_8LPg/default.jpg URL=http://www.youtube.com/watch?v=QtOY8O_8LPg description=Need help with SAT math? Join Eric, one of Khan Academy’s SAT experts, for an SAT math class. Eric reviews some of the most important math skills for the test and provides tips on how to avoid careless mistakes. This is a recording of our May 16 livestream./description type=video name=Compare decimals word problems thumb=https://i.ytimg.com/vi/ELNooV0ymYk/default.jpg URL=http://www.youtube.com/watch?v=ELNooV0ymYk description=Compare decimals word problems/description type=video name=Comparing multi digit numbers word problems thumb=https://i.ytimg.com/vi/PqyS66_mE24/default.jpg URL=http://www.youtube.com/watch?v=PqyS66_mE24 description=Comparing multi digit numbers word problems/description type=video name=Rounding to the nearest tenth and hundredth thumb=https://i.ytimg.com/vi/IcmAxkEImtI/default.jpg URL=http://www.youtube.com/watch?v=IcmAxkEImtI description=Rounding to the nearest tenth and hundredth/description type=video name=Rounding to nearest ten, hundred and thousand thumb=https://i.ytimg.com/vi/Gg-GD5QfbB4/default.jpg URL=http://www.youtube.com/watch?v=Gg-GD5QfbB4 description=Rounding to nearest ten, hundred and thousand/description type=video name=Impact of the Crusades thumb=https://i.ytimg.com/vi/7LY2CMteGw8/default.jpg URL=http://www.youtube.com/watch?v=7LY2CMteGw8 description=Part 3 of the series on the Crusades. An overview of the human, territorial, commercial and political impact of the Crusades./description type=video name=An overview of the Crusades (part 2) thumb=https://i.ytimg.com/vi/bCiNvTNwAQk/default.jpg URL=http://www.youtube.com/watch?v=bCiNvTNwAQk description=An overview of the 2nd through 9th Crusades. Saladin retakes Jerusalem after nearly 90 years as a Crusader Kingdom in 1179. The sacking of Constantinople and the possible Children's Crusade. The Reconquista in what will eventually be Spain./description type=video name=Introduction to the Crusades thumb=https://i.ytimg.com/vi/NGyCpI1zE6k/default.jpg URL=http://www.youtube.com/watch?v=NGyCpI1zE6k description=The Crusades begin in reaction to Pope Urban II's call to help the Byzantine Empire reclaim land from Muslim rule (especially Jerusalem)./description type=video name=Shoguns, samurai and the Japanese Middle Ages | World History | Khan Academy thumb=https://i.ytimg.com/vi/zLHwRTNbcjI/default.jpg URL=http://www.youtube.com/watch?v=zLHwRTNbcjI description=An overview of the Japanese Medieval period in which Shoguns ruled under the bakufu (shogunate) feudal system. Discussion of daimyo during the Kamakura and Muromachi/Ashikaga periods. Samurai and bushido. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/medieval-times/medieval-japan/v/classical-japan-during-the-heian-period World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Classical Japan during the Heian Period | World History | Khan Academy thumb=https://i.ytimg.com/vi/HxIKVdvkFkA/default.jpg URL=http://www.youtube.com/watch?v=HxIKVdvkFkA description=An overview of classical Japan. Chinese influence merges with Japanese culture. Tale of Genji by Lady Murasaki. Watch the next video: https://www.khanacademy.org/humanities/world-history/medieval-times/medieval-japan/v/shoguns-samurai-and-the-japanese-middle-ages World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Human migration: sub-Saharan Africa and the Pacific | World History | Khan Academy thumb=https://i.ytimg.com/vi/aAB75bP7rdk/default.jpg URL=http://www.youtube.com/watch?v=aAB75bP7rdk description=How did environmental factors influence human migration in sub-Saharan Africa and the Pacific? Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/medieval-times/migration/e/migration--key-concepts World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Serfs and manorialism | World History | Khan Academy thumb=https://i.ytimg.com/vi/4o6wnbgi6bg/default.jpg URL=http://www.youtube.com/watch?v=4o6wnbgi6bg description=An overview of how a manor was organized in Medieval Europe. Discussion of serfs and serfdom. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inca Empire overview | World History | Khan Academy thumb=https://i.ytimg.com/vi/20B94yLBGrg/default.jpg URL=http://www.youtube.com/watch?v=20B94yLBGrg description=An overview of the Inca Empire or Tawatinsuyu founded by Pachacuti from the Kingdom of Cusco. The Mit'a system and eventual conquest by Pizarro. Missed the previous lesson? Watch now: https://www.khanacademy.org/humanities/world-history/medieval-times/maya-aztec-and-inca/v/aztec-empire World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Aztec Empire | World History | Khan Academy thumb=https://i.ytimg.com/vi/_-96fKZGQVs/default.jpg URL=http://www.youtube.com/watch?v=_-96fKZGQVs description=An overview of how Teochtitlan creates the tributary Aztec Empire in the 15th Century (from the Triple Alliance). They rule until being conquered by Hernando Cortez. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/maya-aztec-and-inca/v/inca-empire-overview World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=An announcement from Khan Academy thumb=https://i.ytimg.com/vi/8-pxqeO24Ww/default.jpg URL=http://www.youtube.com/watch?v=8-pxqeO24Ww description=We’re excited to announce today that studying for the SAT for 20 hours on Khan Academy’s free Official SAT Practice is associated with an average score gain of 115 points. That’s nearly double the average score gain compared to students who don’t use our free test prep./description type=video name=Feudal system during the Middle Ages | World History | Khan Academy thumb=https://i.ytimg.com/vi/p3pYuY4buIk/default.jpg URL=http://www.youtube.com/watch?v=p3pYuY4buIk description=An overview of the Feudal System--the relationship of lords and vassals. Titles of nobility such as dukes, earls, counts, viscounts and barons. Homage and fealty. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/medieval-times/serfdom-in-europe/e/key-concepts--serfdom Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/serfdom-in-europe/v/manorialism-and-serfs Missed the previous lesson? Watch now: https://www.khanacademy.org/humanities/world-history/medieval-times/serfdom-in-europe/v/overview-of-the-middle-ages World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of the Middle Ages | World History | Khan Academy thumb=https://i.ytimg.com/vi/H5ZJujqa0YQ/default.jpg URL=http://www.youtube.com/watch?v=H5ZJujqa0YQ description=The European Middle Ages (or Medieval Time) is roughly 1000 year span of time from the end of the Roman Empire (in the West) to the beginning of the Renaissance. This video gives as overview with maps and touches on the key events like the Great Schism, Crusades and Black Death. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/medieval-times/serfdom-in-europe/e/key-concepts--serfdom Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/serfdom-in-europe/v/feudal-system-during-the-middle-ages World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Peasant Revolts | World History | Khan Academy thumb=https://i.ytimg.com/vi/c30S6M8-Jvw/default.jpg URL=http://www.youtube.com/watch?v=c30S6M8-Jvw description=Learn about popular uprisings in late medieval Europe. Why did people rebel against authority and did they achieve anything in doing so? Were these really peasant revolts? World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Prosperity in Song China (960-1279) | World History | Khan Academy thumb=https://i.ytimg.com/vi/CBjLSRfqoAg/default.jpg URL=http://www.youtube.com/watch?v=CBjLSRfqoAg description=Overview of innovation and causes of prosperity and stability during the Song Dynasty (both Northern and Southern Song Dynasties). First movable type block printing, government sanctioned paper money, gunpowder, etc. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/medieval-times/song-china/v/neo-confucianism-and-zhu-xi World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting plotted points thumb=https://i.ytimg.com/vi/9EEJU4Ox-TE/default.jpg URL=http://www.youtube.com/watch?v=9EEJU4Ox-TE description=Worked example on intrepreting points on a coordinate plane./description type=video name=Example plotting corners of rectangle thumb=https://i.ytimg.com/vi/AUAT7zdD6Jc/default.jpg URL=http://www.youtube.com/watch?v=AUAT7zdD6Jc description=Worked example plotting corners of rectangle/description type=video name=Molecular, complete ionic, and net ionic equations | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/BgTpPM9BMuU/default.jpg URL=http://www.youtube.com/watch?v=BgTpPM9BMuU description=In the molecular equation for a reaction, all of the reactants and products are represented as neutral molecules (even soluble ionic compounds and strong acids). In the complete ionic equation, soluble ionic compounds and strong acids are rewritten as dissociated ions. In the net ionic equation, any ions that do not participate in the reaction (called spectator ions) are excluded. As a result, the net ionic equation shows only the species that are actually involved in the chemical reaction. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:net-ionic-equations/v/complete-ionic-and-net-ionic-equations Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Great Schism or East-West Schism part 2 | World History | Khan Academy thumb=https://i.ytimg.com/vi/iql2eFZsV5Y/default.jpg URL=http://www.youtube.com/watch?v=iql2eFZsV5Y description=After hundreds of years of increasing division between the Latin Church led by the Pope in Rome and the Eastern. Greek church led by the Byzantine Emperor and the Patriarch of Constantinople, the Great Schism in 1054 marks the beginning of the formal division between what will be known as the Roman Catholic Church and the Eastern Orthodox Church. Missed the previous lesson? Watch now: https://www.khanacademy.org/humanities/world-history/medieval-times/medieval/v/great-schism-or-east-west-schism-part-1 World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Great Schism or East-West Schism part 1 | World History | Khan Academy thumb=https://i.ytimg.com/vi/jqMC4RBE4A0/default.jpg URL=http://www.youtube.com/watch?v=jqMC4RBE4A0 description=After the fall of the Western Roman Empire in the 5th Century, division between the Latin Church in the West and the Greek-speaking church in the East widen over issues such as primacy of the Bishop of Rome, iconoclasm, filioque and the crowning of Charlemagne as Holy Roman Emperor. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/medieval/v/great-schism-or-east-west-schism-part-2 Missed the previous lesson? Watch now: https://www.khanacademy.org/humanities/world-history/medieval-times/medieval/v/sutton-hoo-ship-burial-c-700 World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chinese Imperial Dynasties | World History | Khan Academy thumb=https://i.ytimg.com/vi/K5UbnilpzXA/default.jpg URL=http://www.youtube.com/watch?v=K5UbnilpzXA description=And overview of the truly Imperial Chinese Dynasties including the Qin, Han, Sui, Tang, Song, Yuan, Ming and Qing. Discussion of innovations during Tang and Song China. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/song-china/v/neo-confucianism-and-zhu-xi World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the coordinate plane thumb=https://i.ytimg.com/vi/pAlq9fFwtus/default.jpg URL=http://www.youtube.com/watch?v=pAlq9fFwtus description=Introduction to the coordinate plane. Plotting points on the coordinate plane./description type=video name=Neo-Confucianism and Zhu Xi | World History | Khan Academy thumb=https://i.ytimg.com/vi/Pn9n-k1JIUo/default.jpg URL=http://www.youtube.com/watch?v=Pn9n-k1JIUo description=A discussion of how the relative influence of Confucianism, Taoism and Buddhism has changed from the Han through the Tang and Song dynasties. Overview of Neo-Confucians, including Zhu Xi. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/song-china/v/prosperity-in-song-china-960-1279 Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/medieval-times/song-china/v/chinese-imperial-dynasties World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Live: AP US History thumb=https://i.ytimg.com/vi/2ujmYuSYzSk/default.jpg URL=http://www.youtube.com/watch?v=2ujmYuSYzSk description=Taking AP US History? Prep for the AP exam with our free live tutoring session. Kim, our history expert, will share tips and strategies for the exam. Study for AP US History on Khan Academy: https://www.khanacademy.org/humanities/us-history/ap-us-history Sal and Kim cover 400 years of US history in an hour: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/preparing-for-the-ap-us-history-exam-542016/description type=video name=Early Medieval Trade | World History | Khan Academy thumb=https://i.ytimg.com/vi/FyW7CUl9KDc/default.jpg URL=http://www.youtube.com/watch?v=FyW7CUl9KDc description=Is a ring from a ninth-century Viking grave a surprising find, or a reflection of the larger trade patterns in early medieval Europe and the Middle East? Vikings traded and raided throughout Europe and as far as the Abbasid Caliphate in the Middle East. Political circumstances and environmental factors shaped these patterns of trade. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/medieval-times/migration/e/migration--key-concepts World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Great Schism part 1 thumb=https://i.ytimg.com/vi/mTNs7wjqgaQ/default.jpg URL=http://www.youtube.com/watch?v=mTNs7wjqgaQ description=After the fall of the Western Roman Empire in the 5th Century, division between the Latin Church in the West and the Greek-speaking church in the East widen over issues such as primacy of the Bishop of Rome, iconoclasm, filoque and the crowning of Charlemagne as Holy Roman Emperor./description type=video name=Khan Academy Live: AP Calculus thumb=https://i.ytimg.com/vi/8JT-Xqs8_GQ/default.jpg URL=http://www.youtube.com/watch?v=8JT-Xqs8_GQ description=Taking AP Calculus? Prep for the exam with our free live tutoring session. Dave, one of our calculus experts, will review key concepts, solve sample questions, and share ways to avoid common mistakes. Prep for your AP Calculus exams on Khan Academy: https://www.khanacademy.org/math/ap-calculus-ab https://www.khanacademy.org/math/ap-calculus-bc/description type=video name=Arian Controversy and the Council of Nicaea | World History | Khan Academy thumb=https://i.ytimg.com/vi/T8O4AcTyjHc/default.jpg URL=http://www.youtube.com/watch?v=T8O4AcTyjHc description=The attempted unification of church doctrine by Constantine through the Council of Nicaea. Especially resolving the Arian Controversy (based on the views of Arius of Alexandria). The Nicene Creed. Seeds of eventual schism in the church. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/roman-empire-and-christianity World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Spread of Islamic Culture | World History | Khan Academy thumb=https://i.ytimg.com/vi/sDSTgKIQAzE/default.jpg URL=http://www.youtube.com/watch?v=sDSTgKIQAzE description=World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/medieval-times/spread-of-islam/e/kep-concepts--the-rise-of-islamic-empires-and-states Missed the previous lesson? Watch now: https://www.khanacademy.org/humanities/world-history/medieval-times/spread-of-islam/v/spread-of-islam About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiating functions: Find the error | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/1l4mmTSIbvU/default.jpg URL=http://www.youtube.com/watch?v=1l4mmTSIbvU description=Analyzing the work of students differentiating various functions to see if they made a mistake, and if so, what mistake. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-strategy/e/differentiating-functions--find-the-error?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-strategy/v/strategies-applying-derivative-rules?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/v/trig-functions-differentiation-sec?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Manipulating functions before differentiation | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/AntQBDFOjUw/default.jpg URL=http://www.youtube.com/watch?v=AntQBDFOjUw description=Sometimes, before differentiating a function, we can rewrite it so the process of differentiation is faster and easier. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-strategy/e/differentiating-functions--find-the-error?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/is-the-power-rule-reasonable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-strategy/v/correcting-work-on-derivative-strategies?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating asymptotic limit from table thumb=https://i.ytimg.com/vi/DGJBaeDJ74g/default.jpg URL=http://www.youtube.com/watch?v=DGJBaeDJ74g description=Approximating asymptotic limit from table/description type=video name=Limits from tables for oscillating functions thumb=https://i.ytimg.com/vi/zaUhcLRp-c8/default.jpg URL=http://www.youtube.com/watch?v=zaUhcLRp-c8 description=Limits from tables for oscillating functions/description type=video name=Example reasoning about limits from tables thumb=https://i.ytimg.com/vi/UiLiMg_U7_I/default.jpg URL=http://www.youtube.com/watch?v=UiLiMg_U7_I description=Example reasoning about limits from tables/description type=video name=Introduction to frames of reference thumb=https://i.ytimg.com/vi/3yaZ7lkQPUQ/default.jpg URL=http://www.youtube.com/watch?v=3yaZ7lkQPUQ description=Introduction to what a reference frame is./description type=video name=Strategies for dividing by tenths thumb=https://i.ytimg.com/vi/dToPqCXHNDA/default.jpg URL=http://www.youtube.com/watch?v=dToPqCXHNDA description=Strategies for dividing by tenths/description type=video name=Multi digit division strategies for decimals thumb=https://i.ytimg.com/vi/bRRtp9XdDrY/default.jpg URL=http://www.youtube.com/watch?v=bRRtp9XdDrY description=Multi digit division strategies for decimals/description type=video name=Division strategies for decimal quotients thumb=https://i.ytimg.com/vi/zlq_jQYD1mA/default.jpg URL=http://www.youtube.com/watch?v=zlq_jQYD1mA description=Division strategies for decimal quotients/description type=video name=Strategies for dividing multiples of 10, 100 and 1000 thumb=https://i.ytimg.com/vi/dejocl4sYfw/default.jpg URL=http://www.youtube.com/watch?v=dejocl4sYfw description=Strategies for dividing multiples of 10, 100 and 1000/description type=video name=Introduction to dividing by 2 digits thumb=https://i.ytimg.com/vi/KzdbThwGNGI/default.jpg URL=http://www.youtube.com/watch?v=KzdbThwGNGI description=Introduction to dividing by 2 digits/description type=video name=Developing strategies for multiplying two digit decimals thumb=https://i.ytimg.com/vi/ekDTjvF_CJw/default.jpg URL=http://www.youtube.com/watch?v=ekDTjvF_CJw description=Developing strategies for multiplying two digit decimals/description type=video name=Developing strategies for multiplying decimals thumb=https://i.ytimg.com/vi/xBseQOzMB7A/default.jpg URL=http://www.youtube.com/watch?v=xBseQOzMB7A description=Developing strategies for multiplying decimals/description type=video name=Strategies for multiplying multiples of 10, 100 and 1000 thumb=https://i.ytimg.com/vi/iFy0oH-3Pn4/default.jpg URL=http://www.youtube.com/watch?v=iFy0oH-3Pn4 description=Strategies for multiplying multiples of 10, 100 and 1000/description type=video name=Strategies for subtracting more complex decimals with tenths thumb=https://i.ytimg.com/vi/IE0HQoLrbX4/default.jpg URL=http://www.youtube.com/watch?v=IE0HQoLrbX4 description=Strategies for subtracting more complex decimals with tenths/description type=video name=More advanced subtraction strategies with hundredths thumb=https://i.ytimg.com/vi/URdTZ38JvOI/default.jpg URL=http://www.youtube.com/watch?v=URdTZ38JvOI description=More advanced subtraction strategies with hundredths/description type=video name=Subtraction strategies with hundredths thumb=https://i.ytimg.com/vi/GUK9aup5HOs/default.jpg URL=http://www.youtube.com/watch?v=GUK9aup5HOs description=Subtraction strategies with hundredths/description type=video name=Strategies for subtracting basic decimals thumb=https://i.ytimg.com/vi/N5xWYgeIWmU/default.jpg URL=http://www.youtube.com/watch?v=N5xWYgeIWmU description=Strategies for subtracting basic decimals/description type=video name=Adding decimals with ones and tenths parts thumb=https://i.ytimg.com/vi/66_Sb1dP81E/default.jpg URL=http://www.youtube.com/watch?v=66_Sb1dP81E description=Adding decimals with ones and tenths parts/description type=video name=Adding decimals with ones, tenths and hundredths thumb=https://i.ytimg.com/vi/6NBkb98nFOM/default.jpg URL=http://www.youtube.com/watch?v=6NBkb98nFOM description=Adding decimals with ones, tenths and hundredths/description type=video name=Introduction to adding decimals tenths thumb=https://i.ytimg.com/vi/7I_AILEWTL4/default.jpg URL=http://www.youtube.com/watch?v=7I_AILEWTL4 description=Introduction to adding decimals tenths/description type=video name=Andding decimals with hundredths thumb=https://i.ytimg.com/vi/fWi-i_mdUOI/default.jpg URL=http://www.youtube.com/watch?v=fWi-i_mdUOI description=Andding decimals with hundredths/description type=video name=Common chain rule misunderstandings | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WVdPekbXSfE/default.jpg URL=http://www.youtube.com/watch?v=WVdPekbXSfE description=Three common student misconceptions when applying the Chain Rule (from AP team at College Board). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/e/differentiate-composite-functions-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-example-implicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-definition-and-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying composite functions | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/MT1-bqKpal8/default.jpg URL=http://www.youtube.com/watch?v=MT1-bqKpal8 description=Review of composite functions and how to recognize them. This is a valuable skill when approaching the Chain Rule in calculus. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/e/identify-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/differentiating-composite-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example exercise using limit flow chart thumb=https://i.ytimg.com/vi/pzcEovb0GHU/default.jpg URL=http://www.youtube.com/watch?v=pzcEovb0GHU description=Example exercise using the limit flow chart from previous video./description type=video name=Strategy in finding limits | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ZaLw1cunN3s/default.jpg URL=http://www.youtube.com/watch?v=ZaLw1cunN3s description=There are many techniques for finding limits that apply in various conditions. It's important to know all these techniques, but it's also important to know when to apply which technique. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-opt-vids/v/limit-intuition-review?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-discontinuities/v/fancy-algebra-to-find-a-limit-and-make-a-function-continuous?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Khan chats with Google CEO Sundar Pichai thumb=https://i.ytimg.com/vi/_kCT_lcM9ow/default.jpg URL=http://www.youtube.com/watch?v=_kCT_lcM9ow description=A conversation with Google CEO Sundar Pichai/description type=video name=Approximating limit from numeric table thumb=https://i.ytimg.com/vi/HunTJkbVQ4s/default.jpg URL=http://www.youtube.com/watch?v=HunTJkbVQ4s description=Using a table to approximate limit from the left and the right./description type=video name=Example approximating limit graphically thumb=https://i.ytimg.com/vi/4SqOXcywn7c/default.jpg URL=http://www.youtube.com/watch?v=4SqOXcywn7c description=Example approximating limit graphically/description type=video name=Approximating limits | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/YLbMvvwYCcg/default.jpg URL=http://www.youtube.com/watch?v=YLbMvvwYCcg description=Before we learn about advanced methods for finding limits exactly, let's see how we can approximate a limit using graphs or tables. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-graphically/v/limits-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-graphically/v/introduction-to-limits-hd?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Justinian and the Byzantine Empire | World History | Khan Academy thumb=https://i.ytimg.com/vi/Y4-F3zk7pFc/default.jpg URL=http://www.youtube.com/watch?v=Y4-F3zk7pFc description=Overview of the Byzantine Empire under its greatest strength under Justinian and then eventual slow decline over the next 900 years. Code of Justinian. Hagia Sophia. Empress Theodora's role in putting down the Nika Riots./description type=video name=Reflecting and scaling absolute value function thumb=https://i.ytimg.com/vi/lPcahMeUYcU/default.jpg URL=http://www.youtube.com/watch?v=lPcahMeUYcU description=Reflecting and scaling absolute value function/description type=video name=Sums and products of irrational numbers thumb=https://i.ytimg.com/vi/16-GZWi66CI/default.jpg URL=http://www.youtube.com/watch?v=16-GZWi66CI description=Thinking about whether the sums and products of irrational numbers are rational or irrational./description type=video name=Example scaling parabola thumb=https://i.ytimg.com/vi/AMsbZLxd3lE/default.jpg URL=http://www.youtube.com/watch?v=AMsbZLxd3lE description=Example finding the equation of a scaled parabola./description type=video name=Example translating parabola thumb=https://i.ytimg.com/vi/ZmVOR6n_fzY/default.jpg URL=http://www.youtube.com/watch?v=ZmVOR6n_fzY description=Equation for translated parabola./description type=video name=Worked examples: Forms & features of quadratic functions | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/eRbgHCaWQQE/default.jpg URL=http://www.youtube.com/watch?v=eRbgHCaWQQE description=Choosing whether factored form, vertex form or standard form of a quadratic is best in different situations. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-features/v/finding-features-of-quadratic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-features/v/rewriting-a-quadratic-function-to-find-roots-and-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing model in vertex form thumb=https://i.ytimg.com/vi/lUA1LYCoIAg/default.jpg URL=http://www.youtube.com/watch?v=lUA1LYCoIAg description=Analyzing model in vertex form/description type=video name=Graphing parabola from quadratic in factored form thumb=https://i.ytimg.com/vi/EV57jv7JKCs/default.jpg URL=http://www.youtube.com/watch?v=EV57jv7JKCs description=Graphing parabola from quadratic in factored form/description type=video name=Solving equations with zero product property thumb=https://i.ytimg.com/vi/-lWVpoPaPBc/default.jpg URL=http://www.youtube.com/watch?v=-lWVpoPaPBc description=Solving equations with zero product property/description type=video name=Visual introduction to parabolas thumb=https://i.ytimg.com/vi/BGz3pkoGPag/default.jpg URL=http://www.youtube.com/watch?v=BGz3pkoGPag description=Introduction to parabolas, including terms like vertex, axis of symmetry, x-intercepts, y-intercepts, open up and open down./description type=video name=Recognizing quadratic factor methods thumb=https://i.ytimg.com/vi/2hHyY1eyHQs/default.jpg URL=http://www.youtube.com/watch?v=2hHyY1eyHQs description=Review recognizing and applying quadratic factoring methods/description type=video name=Recognizing quadratic factor methods part 2 thumb=https://i.ytimg.com/vi/ahPdiNQGXRA/default.jpg URL=http://www.youtube.com/watch?v=ahPdiNQGXRA description=More review recognizing and applying quadratic factoring methods. Difference of squares and factoring by grouping./description type=video name=Perfect square factorization intro | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/JX5Zvh6swmo/default.jpg URL=http://www.youtube.com/watch?v=JX5Zvh6swmo description=When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/factoring-perfect-square-trinomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-diff-of-squares/v/finding-a-shared-binomial-factor?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Difference of squares intro | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/HLNSouzygw0/default.jpg URL=http://www.youtube.com/watch?v=HLNSouzygw0 description=When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-diff-of-squares/v/factoring-to-produce-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-polynomials/v/factoring-trinomials-by-grouping-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomials intro | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Vm7H0VTlIco/default.jpg URL=http://www.youtube.com/watch?v=Vm7H0VTlIco description=Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-polynomials-intro/v/terms-coefficients-and-exponents-in-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-absolute-value/math2-graphs-of-abs-value/v/scaling-and-reflecting-absolute-value-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to exponential decay thumb=https://i.ytimg.com/vi/v4IdaXvyE7U/default.jpg URL=http://www.youtube.com/watch?v=v4IdaXvyE7U description=Introduction to exponential decay/description type=video name=Comparing exponential and linear function thumb=https://i.ytimg.com/vi/cwnke_pjX90/default.jpg URL=http://www.youtube.com/watch?v=cwnke_pjX90 description=Comparing exponential and linear function/description type=video name=Identifying graph for exponential thumb=https://i.ytimg.com/vi/6rX2VNybXEE/default.jpg URL=http://www.youtube.com/watch?v=6rX2VNybXEE description=Identifying graph for exponential/description type=video name=Interpretting exponential expression thumb=https://i.ytimg.com/vi/Pud5ygp6H38/default.jpg URL=http://www.youtube.com/watch?v=Pud5ygp6H38 description=Interpretting exponential expression/description type=video name=Modeling with basic exponential function thumb=https://i.ytimg.com/vi/Z3YVZzCEi_A/default.jpg URL=http://www.youtube.com/watch?v=Z3YVZzCEi_A description=Modeling with basic exponential function/description type=video name=Expression for compound or exponential growth thumb=https://i.ytimg.com/vi/L70UJVjc-bc/default.jpg URL=http://www.youtube.com/watch?v=L70UJVjc-bc description=Expression for compound or exponential growth/description type=video name=5th roots | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/8wrtyW1RwNk/default.jpg URL=http://www.youtube.com/watch?v=8wrtyW1RwNk description=5th roots. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-introduction-to-rational-exponents-and-radicals/v/basic-fractional-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-radicals/v/finding-square-root-of-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining whether real world model is linear or exponential thumb=https://i.ytimg.com/vi/tV0NNJ6ndgk/default.jpg URL=http://www.youtube.com/watch?v=tV0NNJ6ndgk description=Determining whether real world model is linear or exponential/description type=video name=Examples of linear and exponential relationships thumb=https://i.ytimg.com/vi/_vlXdx-CqM0/default.jpg URL=http://www.youtube.com/watch?v=_vlXdx-CqM0 description=Examples of linear and exponential relationships/description type=video name=Simplifying square-root expressions | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/3MijXB91DVo/default.jpg URL=http://www.youtube.com/watch?v=3MijXB91DVo description=Worked examples of taking expressions with square roots and taking all of the perfect squares out of the square roots. For example, 2√(7x)⋅3√(14x²) can be written as 42x√(2x). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-simplify-higher-index-roots/v/radical-expressions-with-higher-roots?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-simplify-radical-expressions/v/simplifying-square-roots-comment-response?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Powers of products & quotients (integer exponents) | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/dC1ojsMi1yU/default.jpg URL=http://www.youtube.com/watch?v=dC1ojsMi1yU description=For any integers a and b and for any exponents n, (a⋅b)ⁿ=aⁿ⋅bⁿ and (a/b)ⁿ=aⁿ/bⁿ. These are worked examples for using these properties with integer exponents. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-radicals/v/introduction-to-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-exp-prop-review/v/multiplying-and-dividing-powers-with-integer-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying & dividing powers (integer exponents) | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/CZ5ne_mX5_I/default.jpg URL=http://www.youtube.com/watch?v=CZ5ne_mX5_I description=These are worked examples for using these properties with integer exponents. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-exp-prop-review/v/powers-of-products-and-quotients-integer-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-general-sequences/v/recursive-formulas-for-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing a shifted and stretched absolute value function thumb=https://i.ytimg.com/vi/v6Ct2OEmGNU/default.jpg URL=http://www.youtube.com/watch?v=v6Ct2OEmGNU description=Graphing a shifted and stretched absolute value function/description type=video name=Flipping and compressing a graph thumb=https://i.ytimg.com/vi/GabN05XvXTg/default.jpg URL=http://www.youtube.com/watch?v=GabN05XvXTg description=Equation of a flipped and compressed a graph/description type=video name=Scaling & reflecting absolute value functions: graph | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Yyfk0rwuZSE/default.jpg URL=http://www.youtube.com/watch?v=Yyfk0rwuZSE description=Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-absolute-value/math2-graphs-of-abs-value/v/graphing-absolute-value-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-absolute-value/math2-graphs-of-abs-value/v/shifting-absolute-value-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shifting absolute value graphs | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Wri26sPEBoI/default.jpg URL=http://www.youtube.com/watch?v=Wri26sPEBoI description=The graph of y=|x-k|+h is the graph of y=|x| shifted k units to the right and h units up. See worked examples practicing this relationship. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-absolute-value/math2-graphs-of-abs-value/v/scaling-and-reflecting-absolute-value-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-absolute-value/math2-abs-value-eq/v/absolute-value-equation-with-no-solution?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing structure with linear inequalities: fruits | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/JeIwsn-EWZU/default.jpg URL=http://www.youtube.com/watch?v=JeIwsn-EWZU description=Given a real-world context about the number of fruits bought, we find a linear inequality that correctly depicts the situation. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/analyzing-structure-with-linear-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/graph-of-system-of-inequalities-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing structure with linear inequalities: balls | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Pfi_chISQbg/default.jpg URL=http://www.youtube.com/watch?v=Pfi_chISQbg description=Given a real-world context about the number of balls in a bag, we find a linear inequality that correctly depicts the situation. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-scatterplots/math1-creating-scatterplots/v/constructing-scatter-plot?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/analyzing-structure-with-linear-inequalities-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing two variable inequality thumb=https://i.ytimg.com/vi/dK_w1HzU3Ts/default.jpg URL=http://www.youtube.com/watch?v=dK_w1HzU3Ts description=Example graphing a two variable inequality in the x-y plane./description type=video name=Worked example: using recursive formula for arithmetic sequence | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/v1ucHH06AxM/default.jpg URL=http://www.youtube.com/watch?v=v1ucHH06AxM description=Example finding the 4th term in a recursively defined arithmetic sequence. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-arithmetic-sequences/v/recursive-formula-for-arithmetic-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-arithmetic-squences/v/using-arithmetic-sequences-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Horizontal & vertical lines | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/J43CIbKpdWc/default.jpg URL=http://www.youtube.com/watch?v=J43CIbKpdWc description=Worked examples identifying the equations and slope of horizontal and vertical lines. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-eq/math1-slope-intercept-form/v/slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-eq/hor-and-ver-lines-math1/v/slope-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked examples: slope-intercept intro | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/qgsNNqmlLoA/default.jpg URL=http://www.youtube.com/watch?v=qgsNNqmlLoA description=Worked examples practicing the relationship between slope, y-intercept, and linear equation in slope-intercept form. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-eq/math1-graphing-slope-intercept-equations/v/graphing-a-line-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-eq/math1-slope-intercept-form/v/slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example finding appropriate units thumb=https://i.ytimg.com/vi/xZRRPOneU2c/default.jpg URL=http://www.youtube.com/watch?v=xZRRPOneU2c description=Example finding appropriate units/description type=video name=Slope from equation | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/G4r9PpYQiL8/default.jpg URL=http://www.youtube.com/watch?v=G4r9PpYQiL8 description=Worked examples of finding the slope of a line given its equation, using many forms of equations. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-eq/math1-forms-of-two-var-linear-equations/v/point-slope-and-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-eq/math1-standard-form/v/converting-from-slope-intercept-to-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Golden Age of Athens, Pericles and Greek Culture | World History | Khan Academy thumb=https://i.ytimg.com/vi/9AHqFKc3mKY/default.jpg URL=http://www.youtube.com/watch?v=9AHqFKc3mKY description=Overview of cultural contributions of Classical Greece. Golden Age of Athens. Age of Pericles. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/socrates-plato-aristotle Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/overview-of-ancient-greece World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Socrates Plato Aristotle | World History | Khan Academy thumb=https://i.ytimg.com/vi/pJQr77Vzwyk/default.jpg URL=http://www.youtube.com/watch?v=pJQr77Vzwyk description=Introduction to the Greek philosophers Socrates, Plato and Aristotle. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/beginning-of-the-greco-persian-wars Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/golden-age-of-athens-pericles-and-greek-culture World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cultural Syncretism in Central Asia | World History | Khan Academy thumb=https://i.ytimg.com/vi/hds9i_bYm48/default.jpg URL=http://www.youtube.com/watch?v=hds9i_bYm48 description=In the third century BCE, between the Greek-influenced Seleucid Empire and the Indian Mauryan Empire lay a small and prosperous kingdom called Bactria. This video is about cultural syncretism—the blending of cultures. What kinds of culture emerges at the crossroads of empire? Let's find out together. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/syncretism/e/syncretism--focus-on-exchange-of-ideas World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Fall of Empires | World History | Khan Academy thumb=https://i.ytimg.com/vi/5Zo0j7yj23E/default.jpg URL=http://www.youtube.com/watch?v=5Zo0j7yj23E description=Sal and World History Fellow Steven Schroeder discuss the fall of empires, from Achaemenid Persia, the Maurya Empire in India, the Han Empire in China, and the Roman Kingdom, Republic, and Empire in the Mediterranean. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-states-and-empires/e/key-concepts--rise-and-fall-of-empires World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Early Silk Road | World History | Khan Academy thumb=https://i.ytimg.com/vi/lLeIclx2lAU/default.jpg URL=http://www.youtube.com/watch?v=lLeIclx2lAU description=The early Silk Roads facilitated trade and the spread of ideas, technology, disease and religion across Eurasia in the beginning of the Common Era. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/silk-road/e/key-concepts--silk-road World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Buddhism | World History | Khan Academy thumb=https://i.ytimg.com/vi/X-_cJU-pFwQ/default.jpg URL=http://www.youtube.com/watch?v=X-_cJU-pFwQ description=An introduction to Siddhartha Gautama Buddha and Buddhism. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/buddhism-intro/v/core-spiritual-ideas-of-buddhism World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Theravada and Mahayana Buddhism | World History | Khan Academy thumb=https://i.ytimg.com/vi/aCA6ioTLw-Q/default.jpg URL=http://www.youtube.com/watch?v=aCA6ioTLw-Q description=An introduction to the major schools of Buddhist thought--Theravada Buddhism and Mahayana Buddhism. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/buddhism-intro/v/core-spiritual-ideas-of-buddhism World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Core spiritual ideas of Buddhism | World History | Khan Academy thumb=https://i.ytimg.com/vi/16S_XjHqcZM/default.jpg URL=http://www.youtube.com/watch?v=16S_XjHqcZM description=Core spiritual ideas of Buddhism by way of comparison with ideas from the Hindu Upanishads. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/buddhism-intro/v/theravada-and-mahayana-buddhism Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/buddhism-intro/v/buddhism World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Common fractions and decimals | Math | 4th Grade | Khan Academy thumb=https://i.ytimg.com/vi/lh2mp0aqSh8/default.jpg URL=http://www.youtube.com/watch?v=lh2mp0aqSh8 description=4th grade Common Core State Standards skill. Becoming familiar with common fractions and decimals and converting between them. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-common-fractions-decimals/e/common-fractions-and-decimals Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-common-fractions-decimals/v/common-fractions-halves-math-4th-grade-khan-academy Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-to-fractions/v/converting-decimals-to-fractions-1-ex-3 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hindu scripture overview | World History | Khan Academy thumb=https://i.ytimg.com/vi/UWTdCorvOWU/default.jpg URL=http://www.youtube.com/watch?v=UWTdCorvOWU description=An overview of the important religious texts in Hinduism including the Vedas, Ramayana, Mahabharata and Bhagavad Gita. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/varnas-and-caste-sytem Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/hindu-gods-overview World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Varnas and the Caste System | World History | Khan Academy thumb=https://i.ytimg.com/vi/v8sj8pHSFuE/default.jpg URL=http://www.youtube.com/watch?v=v8sj8pHSFuE description=A discussion of how varnas as described in the Rigveda and Bhagavad Gita relate to the notion of "caste" in modern India. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/hindu-scripture-overview World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Live: SAT Writing Class thumb=https://i.ytimg.com/vi/-N2cFuy0mGM/default.jpg URL=http://www.youtube.com/watch?v=-N2cFuy0mGM description=Need help with SAT writing? Join Eric, one of Khan Academy’s SAT experts, for an SAT writing class. Eric walks through key grammar concepts like subject-verb agreement and sentence punctuation. This is an edited version of our livestream from March 9, 2017. Check out Official SAT Practice on Khan Academy - it’s free! http://www.khanacademy.org/sat/description type=video name=Comparative roles of women in Rome and Han China | World History | Khan Academy thumb=https://i.ytimg.com/vi/rmPqoWYlH-Q/default.jpg URL=http://www.youtube.com/watch?v=rmPqoWYlH-Q description=A discussion with Khan Academy World History Fellow Eman Elshaikh on the comparative roles of women in Rome and Han China (with brief discussion of women in Athens as well). World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hindu gods overview | World History | Khan Academy thumb=https://i.ytimg.com/vi/INv2gdpfXPQ/default.jpg URL=http://www.youtube.com/watch?v=INv2gdpfXPQ description=An overview of the Hindu pantheon including: Shiva, Vishnu, Brahma, Ganesh, Parvati, Durga, Lakshmi, Karthikeya, Rama and Krishna. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/hindu-scripture-overview Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/hinduism-introduction-core-ideas-of-brahman-atman-samsara-and-moksha World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ionization energy: period trend | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/649ZlWMp0LE/default.jpg URL=http://www.youtube.com/watch?v=649ZlWMp0LE description=An element's first ionization energy is the energy required to remove the outermost, or least bound, electron from a neutral atom of the element. On the periodic table, first ionization energy generally increases as you move left to right across a period. This is due to increasing nuclear charge, which results in the outermost electron being more strongly bound to the nucleus. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:periodic-trends/v/period-trend-for-ionization-energy Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Electron affinity: period trend | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/6WIBa32o63Q/default.jpg URL=http://www.youtube.com/watch?v=6WIBa32o63Q description=Electron affinity is the energy change that results from adding an electron to a gaseous atom. For example, when a fluorine atom in the gaseous state gains an electron to form F⁻(g), the associated energy change is -328 kJ/mol. Because this value is negative (energy is released), we say that the electron affinity of fluorine is favorable. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:periodic-trends/v/electron-affinity Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Hinduism Introduction: Core ideas of Brahman, Atman, Samsara and Moksha | History | Khan Academy thumb=https://i.ytimg.com/vi/WhTpJxlJi2I/default.jpg URL=http://www.youtube.com/watch?v=WhTpJxlJi2I description=Hinduism is one of the oldest and largest religions in the world. It is also one of the most diverse in terms of practice. This video gives an overview of the central spiritual ideas of Brahman, Atman, Samsara and Moksha. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/hindu-gods-overview Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/introduction-to-the-vedic-period World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Live: SAT Reading Class thumb=https://i.ytimg.com/vi/Zc_l4cCLUqo/default.jpg URL=http://www.youtube.com/watch?v=Zc_l4cCLUqo description=Need help with SAT reading? Join Eric, one of Khan Academy’s SAT experts, for an SAT reading class. During class, Eric explains a proactive approach to answering reading questions and walks through some of the most common types of questions. This is an edited version of our livestream from March 2, 2017. RSVP for our additional live SAT classes: Khan Academy Live: SAT Writing on 3/9 https://www.facebook.com/events/1207342579373551/ Check out Official SAT Practice on Khan Academy - it’s free! http://www.khanacademy.org/sat/description type=video name=Introduction to Islam | World History | Khan Academy thumb=https://i.ytimg.com/vi/Gg6ju-lHCwU/default.jpg URL=http://www.youtube.com/watch?v=Gg6ju-lHCwU description=A high level overview of Islam, the 5 pillars of Sunni Islam, and the Muslim belief that Islam is the extension of the faith of Abraham, Moses and Jesus. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/islam-intro/v/life-of-muhammad-and-beginnings-of-islam-part-1 World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Affect and effect | Frequently confused words | Usage | Grammar thumb=https://i.ytimg.com/vi/5pfZ3dyG1cg/default.jpg URL=http://www.youtube.com/watch?v=5pfZ3dyG1cg description=TL;DW: affect's a verb and effect's a noun. But there's a little more to it than that./description type=video name=Alliteration, Assonance, and Onomatopoeia | Style | Grammar thumb=https://i.ytimg.com/vi/6dACXPirT3s/default.jpg URL=http://www.youtube.com/watch?v=6dACXPirT3s description=This video will teach you all about the different ways you can use the sound of words for effect. Alliteration is when you use a bunch of similar consonants in a row; assonance is when you use a bunch of similar vowel sounds in a row; onomatopoeia is basically sound effects. You'll see./description type=video name=Compliment/complement and desert/dessert | Frequently confused words | Usage | Grammar thumb=https://i.ytimg.com/vi/WnAzZWxiGs4/default.jpg URL=http://www.youtube.com/watch?v=WnAzZWxiGs4 type=video name=Less versus fewer | Frequently confused words | Usage | Grammar thumb=https://i.ytimg.com/vi/ZkFihBrRMCM/default.jpg URL=http://www.youtube.com/watch?v=ZkFihBrRMCM description=How do you know when to use "less" or "fewer" when describing the quantity or amount of things?/description type=video name=Hear/here and accept/except | Frequently confused words | Usage | Grammar thumb=https://i.ytimg.com/vi/t8RMj6xCJIQ/default.jpg URL=http://www.youtube.com/watch?v=t8RMj6xCJIQ type=video name=There, their, and they're | Frequently confused words | Usage | Grammar thumb=https://i.ytimg.com/vi/0D54pfccNUQ/default.jpg URL=http://www.youtube.com/watch?v=0D54pfccNUQ description=This is one of the most frequently-confused trios in the English language. Follow along, and learn to suss out the differences between these three words./description type=video name=Irony | Style | Grammar thumb=https://i.ytimg.com/vi/LY5EBvlRCP4/default.jpg URL=http://www.youtube.com/watch?v=LY5EBvlRCP4 description=Irony, puns, and sarcasm are some of the toughest concepts in English. This video attempts to explain all three./description type=video name=Bare/bear, allowed/aloud, advice/advise, break/brake | Frequently confused words | Usage | Grammar thumb=https://i.ytimg.com/vi/aIOYJ2Vlwy8/default.jpg URL=http://www.youtube.com/watch?v=aIOYJ2Vlwy8 description=Learn to tell the differences between these eight frequently-confused words!/description type=video name=Under- and overstatement | Style | Grammar thumb=https://i.ytimg.com/vi/lrpB0kNvEs4/default.jpg URL=http://www.youtube.com/watch?v=lrpB0kNvEs4 description=This is, bar none, the greatest video Khan Academy has ever made, although I may be slightly overstating that. Learn how to master this style by following along./description type=video name=The scale of formality | Style | Grammar thumb=https://i.ytimg.com/vi/dzSbmCxUyuo/default.jpg URL=http://www.youtube.com/watch?v=dzSbmCxUyuo description=How formal or informal should you be when you write or speak? Let's dive into that!/description type=video name=To, two, and too | Frequently confused words | Usage | Grammar thumb=https://i.ytimg.com/vi/joTuAvMQ9vE/default.jpg URL=http://www.youtube.com/watch?v=joTuAvMQ9vE description=Another troublesome triad, "to", "two", and "too". Let's set these frequently-confused words straight!/description type=video name=Chavin, Nazca, Moche, Huari and Tiwanaku civilizations | World History | Khan Academy thumb=https://i.ytimg.com/vi/3yb1jBTwMeI/default.jpg URL=http://www.youtube.com/watch?v=3yb1jBTwMeI description=Learn about several of the pre-Columbian civilizations that emerged around the Andes in/near modern-day Peru. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/civilizations-in-the-americas/v/mayans-and-teotihuacan World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mayans and Teotihuacan | World History | Khan Academy thumb=https://i.ytimg.com/vi/HPRPaTqNnZk/default.jpg URL=http://www.youtube.com/watch?v=HPRPaTqNnZk description=An overview of the Mayan civilization as well as the great city of Teotihuacan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/civilizations-in-the-americas/v/chavin-nazca-moche-huari-and-tiwanaku-civilizations World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Announcing Khan Academy Official LSAT Prep – Free for all! thumb=https://i.ytimg.com/vi/od2ChzDRrBk/default.jpg URL=http://www.youtube.com/watch?v=od2ChzDRrBk description=We’re proud to announce we’ll soon offer free, personalized LSAT prep for all. Every year, more than 100,000 people take the LSAT, the Law School Admission Test. Many test takers have traditionally paid for test prep, which can cost hundreds or even thousands of dollars. We're excited to offer a free LSAT practice program designed to help students with the skills they find challenging so that they can show up on test day ready to rock the LSAT. What’s more, we’re doing this by partnering with the maker of the LSAT, the Law School Admission Council. By working with the maker of the exam, we can help many more people learn the skills they need to do well on the LSAT, in law school, and their careers./description type=video name=Confucius and Confucianism thumb=https://i.ytimg.com/vi/iPQ6GB822x4/default.jpg URL=http://www.youtube.com/watch?v=iPQ6GB822x4 description=Sal gives an overview of teachings of Confucius and its impact on Chinese culture. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/zhou-qin-han-china/e/key-concepts--philosophies-of-the-warring-states-period Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/zhou-qin-han-china/v/zhou-qin-and-han-dynasties World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Live: SAT Math Class thumb=https://i.ytimg.com/vi/AgcuSSiR5to/default.jpg URL=http://www.youtube.com/watch?v=AgcuSSiR5to description=Need help with SAT math? Join Eric, one of Khan Academy’s SAT experts, for an SAT math class. Eric reviews some of the most important math skills for the test and provides tips on how to avoid careless mistakes. This is an edited version of our livestream from February 22, 2017. RSVP for our additional live SAT classes: Khan Academy Live: SAT Reading on 3/2 https://www.facebook.com/events/1134388713338760/ Khan Academy Live: SAT Writing on 3/9 https://www.facebook.com/events/1207342579373551/ Check out Official SAT Practice on Khan Academy - it’s free! http://www.khanacademy.org/sat/description type=video name=Chandragupta, Ashoka and the Maurya Empire | World History | Khan Academy thumb=https://i.ytimg.com/vi/P0zrLZrlyko/default.jpg URL=http://www.youtube.com/watch?v=P0zrLZrlyko description=In the late 4th century, the Maurya Empire under Chandragupta conquers most of North India. His son Bindusara continues the conquest into the south. Bindusara's son Ashoka (Asoka) takes the empire to its furthest extent, but then turns to a life of Buddhism and nonviolence. He is considered one of the prime catalysts for the spread of Buddhism. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/early-indian-empires/e/content-check-indian-state-building Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/early-indian-empires/v/gupta-dynasty World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sunni and Shia Islam part 2 | World History | Khan Academy thumb=https://i.ytimg.com/vi/FygpbbwsSGg/default.jpg URL=http://www.youtube.com/watch?v=FygpbbwsSGg description=As Ali becomes caliph, the Ummayads under the leadership of Muawiya refuse to recognize him, sparking the first Muslim Civil War. The increased division leads eventually to the Tragedy at Karbala which is a defining event for Shia Muslims. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/medieval-times/islam-intro/v/sunni-and-shia-islam-part-1 World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sunni and Shia Islam part 1 | World History | Khan Academy thumb=https://i.ytimg.com/vi/iMbAu2Oh7PA/default.jpg URL=http://www.youtube.com/watch?v=iMbAu2Oh7PA description=An introduction to the Sunni and Shia schism that forms in Islam after the death of Muhammed. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/islam-intro/v/sunni-and-shia-islam-part-2 Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/medieval-times/islam-intro/v/golden-age-of-islam World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Golden age of Islam | World History | Khan Academy thumb=https://i.ytimg.com/vi/K5XKjk0-hCo/default.jpg URL=http://www.youtube.com/watch?v=K5XKjk0-hCo description=The Abbasid Caliphate becomes a center of learning from the 9th to the 13th centuries, collecting the knowledge of India, China and ancient Greece while also making significant new contributions to mathematics, astronomy, philosophy, medicine and geography. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/medieval-times/cross-cultural-diffusion-of-knowledge/e/key-concepts--golden-age-of-islam World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Spread of Islam part 3 | World History | Khan Academy thumb=https://i.ytimg.com/vi/ojSkGvxFi4M/default.jpg URL=http://www.youtube.com/watch?v=ojSkGvxFi4M description=Overview of the spread of Islam from the time of Muhammed to the Rashidun, Umayyad and Abbasid Caliphates. Discussion of Muslim conquest and conversion. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/spread-of-islam/v/spread-of-islamic-culture-world-history-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/medieval-times/islam-intro/v/beginnings-of-islam-2 World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Beginnings of Islam part 2 thumb=https://i.ytimg.com/vi/xoC1fRavjUU/default.jpg URL=http://www.youtube.com/watch?v=xoC1fRavjUU description=Early Muslims escape Quraysh persecution by migrating to Medina in 622. With Medina as the base of their community, they are able to convert Mecca and most of Arabia to Islam during the remainder of the life of Muhammed (next 10 years)./description type=video name=Life of Muhammad and beginnings of Islam part 1 | World History | Khan Academy thumb=https://i.ytimg.com/vi/4NT_btkLlho/default.jpg URL=http://www.youtube.com/watch?v=4NT_btkLlho description=The early life of Muhammad including his work as a merchant, his marriage to Khadijah, his early revelations and the persecution of early Muslims by his own Quraysh tribe. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/medieval-times/islam-intro/v/beginnings-of-islam-2 Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/medieval-times/islam-intro/v/introduction-to-islam World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular dipoles thumb=https://i.ytimg.com/vi/_nsIQIpBsUA/default.jpg URL=http://www.youtube.com/watch?v=_nsIQIpBsUA description=Molecular dipoles including permanent, temporary and induced molecular dipoles./description type=video name=Multi-step unit conversion examples thumb=https://i.ytimg.com/vi/5QFwaG5oM_A/default.jpg URL=http://www.youtube.com/watch?v=5QFwaG5oM_A description=Multi step unit conversion example (U.S. Customary units). 4th grade. Common Core State Standards./description type=video name=Metric system unit conversion examples thumb=https://i.ytimg.com/vi/ODJzxGj_zvU/default.jpg URL=http://www.youtube.com/watch?v=ODJzxGj_zvU description=Multi-step unit conversion examples (metric system). 4th grade. Common Core State Standards./description type=video name=Overview of early Judaism part 2 | World History | Khan Academy thumb=https://i.ytimg.com/vi/iBWCZxyElIM/default.jpg URL=http://www.youtube.com/watch?v=iBWCZxyElIM description=An overview from the first kings of a unified Judah and Israel to the beginning of the Jewish Diaspora with the destruction of the Second Temple. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/judaism/v/overview-of-early-judaism-part-1 World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of early Judaism part 1 | World History | Khan Academy thumb=https://i.ytimg.com/vi/cP-fdixB1Zc/default.jpg URL=http://www.youtube.com/watch?v=cP-fdixB1Zc description=An overview of the stories of the Torah (first 5 books of the Hebrew Bible and the Christian Old Testament). Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/judaism/v/overview-of-early-judaism-part-2 World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Zhou, Qin and Han Dynasties | World History | Khan Academy thumb=https://i.ytimg.com/vi/6L9jWmLkaS0/default.jpg URL=http://www.youtube.com/watch?v=6L9jWmLkaS0 description=Sal provides a historical overview of the Zhou, Qin, and Han dynasties in China. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/zhou-qin-han-china/e/key-concepts--rise-of-chinese-dynasties Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/zhou-qin-han-china/v/confucius-and-confucianism World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example naming ionic compound thumb=https://i.ytimg.com/vi/YLRypVr164g/default.jpg URL=http://www.youtube.com/watch?v=YLRypVr164g description=Example naming ionic compound/description type=video name=Worked example: Finding the formula of an ionic compound | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/8_fMpRUsnBk/default.jpg URL=http://www.youtube.com/watch?v=8_fMpRUsnBk description=To find the formula of an ionic compound, first identify the cation and write down its symbol and charge. Then, identify the anion and write down its symbol and charge. Finally, combine the two ions to form an electrically neutral compound. In this video, we'll walk through this process for the ionic compound calcium bromide. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:valence-electrons-and-ionic-compounds/v/formula-for-ionic-compounds Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Naming ions and ionic compounds | Atoms, compounds, and ions | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ptAw20kem90/default.jpg URL=http://www.youtube.com/watch?v=ptAw20kem90 description=Naming cations, anions, and simple ionic compounds such as potassium chloride. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-compounds/v/naming-ions-and-ionic-compounds?utm_source=youtube&utm_medium=desc&utm_campaign=chemistry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Naming ionic compound with polyvalent ion | Atoms, compounds, and ions | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/vVTwzjvWySs/default.jpg URL=http://www.youtube.com/watch?v=vVTwzjvWySs description=Naming ionic compounds that contain polyvalent ions, using example of cobalt (III) sulfide. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/names-and-formulas-of-ionic-compounds/v/naming-ionic-compound-with-polyvalent-ion?utm_source=youtube&utm_medium=desc&utm_campaign=chemistry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to ions | Atoms, compounds, and ions | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/zTUnjPALX_U/default.jpg URL=http://www.youtube.com/watch?v=zTUnjPALX_U description=Difference between ions and atoms. How to calculating charge on an ion. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-compounds/v/introduction-to-ions?utm_source=youtube&utm_medium=desc&utm_campaign=chemistry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Pre Columbian Americas | World History | Khan Academy thumb=https://i.ytimg.com/vi/o2XjXFvruIM/default.jpg URL=http://www.youtube.com/watch?v=o2XjXFvruIM description=Overview of the population and civilizations in the Americas over the past 6 thousand years. World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sanskrit connections to English | World History | Khan Academy thumb=https://i.ytimg.com/vi/kemwplAKWsY/default.jpg URL=http://www.youtube.com/watch?v=kemwplAKWsY description=How Sanskrit is connected to Latin, English and other European languages. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/ancient-india/v/hinduism-introduction-core-ideas-of-brahman-atman-samsara-and-moksha Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/history-beginnings/ancient-india/v/introduction-to-the-vedic-period World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the Vedic Period | World History | Khan Academy thumb=https://i.ytimg.com/vi/xBIbflTfxm8/default.jpg URL=http://www.youtube.com/watch?v=xBIbflTfxm8 description=From the Vedas, the oldest known Hindu scriptures, scholars have learned about the existence of the Vedic period in ancient Indian history that followed the Indus River Valley civilization. Sal explains more about this early society. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/hinduism/v/sanskrit-connections-to-english World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ancient China | Early Civilizations | World History | Khan Academy thumb=https://i.ytimg.com/vi/g9SGpnheXek/default.jpg URL=http://www.youtube.com/watch?v=g9SGpnheXek description=At the end of the Mythic Period of China's history, the Xia dynasty gave way to the Shang Dynasty… if the Xia really existed at all! Sal gives an overview of the Xia, Shang, and Zhou Dynasties—societies that lived between the Yellow and Yangtze Rivers—and discusses their cultural practices, their bronzeworking, and the origins of a Chinese identity. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/ancient-china World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Hittite Empire and the Battle of Kadesh | Early Civilizations | World History | Khan Academy thumb=https://i.ytimg.com/vi/-j7N-XPi5Z0/default.jpg URL=http://www.youtube.com/watch?v=-j7N-XPi5Z0 description=Who were the Hittites, and why was iron so important to them? Sal covers the history of the Hittite Empire, a civilization in Asia Minor that was among the first peoples to master ironworking. Iron tools, weapons, and chariots gave the Hittites a decisive advantage in combat, and it enabled them to conquer and hold territory. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/hittites World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ancient Egypt | Early Civilizations | World History | Khan Academy thumb=https://i.ytimg.com/vi/SGSLyp8mmMc/default.jpg URL=http://www.youtube.com/watch?v=SGSLyp8mmMc description=Ancient Egypt was an early example of a massive civilization spanning thousands of years. Sal explains this history in an overview. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/egypt-exercises World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Indus Valley Civilization | Early Civilizations | World History | Khan Academy thumb=https://i.ytimg.com/vi/mi9sMazNPxM/default.jpg URL=http://www.youtube.com/watch?v=mi9sMazNPxM description=The Indus River Valley (or Harappan) civilization lasted for 2,000 years, and extended from what is today northeast Afghanistan to Pakistan and northwest India. Sal explores the history of this civilization, its technological innovations, its art, its architectural practices, and its agriculture. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/indus-valley World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ancient Mesopotamia | Early Civilizations | World History | Khan Academy thumb=https://i.ytimg.com/vi/9GQdh2eGP-Y/default.jpg URL=http://www.youtube.com/watch?v=9GQdh2eGP-Y description=Why is Mesopotamia considered the "cradle of civilization"? Sal explains the history of the early empires on the Tigris and Euphrates rivers. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/world-history/e/mesopotamia Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/v/ancient-mesopotamia World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=History and prehistory | The Origin of Humans and Human Societies | World History | Khan Academy thumb=https://i.ytimg.com/vi/ObGarwy5Jss/default.jpg URL=http://www.youtube.com/watch?v=ObGarwy5Jss description=How do we know what we know about prehistory, the time before the invention of writing? Sal explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/history-beginnings/origin-humans-early-societies/e/knowing-prehistory-exercise Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/origin-humans-early-societies/v/peopling-the-earth World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Origins of agriculture | World History | Khan Academy thumb=https://i.ytimg.com/vi/JvBHwVpBCwM/default.jpg URL=http://www.youtube.com/watch?v=JvBHwVpBCwM description=How, why, and when did agriculture first emerge, and what were its implications on human society? Sal explains in an overview. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/history-beginnings/birth-agriculture-neolithic-revolution/e/where-did-agriculture-come-from-exercise- Watch the next lesson: https://www.khanacademy.org/humanities/world-history/history-beginnings/birth-agriculture-neolithic-revolution/v/how-did-agriculture-grow World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Roman Empire and Christianity | World History | Khan Academy thumb=https://i.ytimg.com/vi/Z-Xzp-WMv4E/default.jpg URL=http://www.youtube.com/watch?v=Z-Xzp-WMv4E description=Overview of the changing relationship between the Roman Empire and Christianity from the time of Jesus to the reign of Theodosius. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/e/key-concepts--roman-culture Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/paul-apostles-christianity World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Paul and the apostles Christianity | World History | Khan Academy thumb=https://i.ytimg.com/vi/QSC86jWqGKc/default.jpg URL=http://www.youtube.com/watch?v=QSC86jWqGKc description=After Jesus, the two most significant figures in Christianity are the apostles Peter and Paul/Saul. Paul, in particular, takes a leading role in spreading the teachings of Jesus to Gentiles (non Jews) in the Roman Empire. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/roman-empire-and-christianity Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/jesus-christ-and-christianity World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Jacobian Determinant thumb=https://i.ytimg.com/vi/p46QWyHQE6M/default.jpg URL=http://www.youtube.com/watch?v=p46QWyHQE6M description=How to interpret the determinant of a Jacobian matrix, along with some examples./description type=video name=Computing a Jacobian matrix thumb=https://i.ytimg.com/vi/CGbBbH1e7Yw/default.jpg URL=http://www.youtube.com/watch?v=CGbBbH1e7Yw description=This finishes the introduction of the Jacobian matrix, working out the computations for the example shown in the last video./description type=video name=Addressing treating differentials algebraically | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/KQ7Y31QgX_w/default.jpg URL=http://www.youtube.com/watch?v=KQ7Y31QgX_w description=Addressing treating differentials algebraically. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/e/separable-differential-equations-find-the-error?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-examples?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: identifying separable equations | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/6vUjGgI8Dso/default.jpg URL=http://www.youtube.com/watch?v=6vUjGgI8Dso description=Separable equations can be written in the form dy/dx=f(x)g(y). See how we analyze various differential equations to see if they are separable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/e/identify-separable-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/v/finding-constant-of-integration-rational?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-examples?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: separable equation with an implicit solution | Khan Academy thumb=https://i.ytimg.com/vi/72xChzYjJdM/default.jpg URL=http://www.youtube.com/watch?v=72xChzYjJdM description=Sometimes the solution of a separable differential equation can't be written as an explicit function. This doesn't mean we can't use it! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/e/separable-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/creating-a-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/v/particular-solution-to-differential-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: range of solution curve from slope field | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/8EA5wv-kQPw/default.jpg URL=http://www.youtube.com/watch?v=8EA5wv-kQPw description=Given the slope field of a differential equation, we can sketch various solutions to the equation. In this example, we analyze the range of a specific solution. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/e/slope-fields-and-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-exp-models/v/modeling-population-with-simple-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/slope-field-to-visualize-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing a differential equation | Differential equations | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/H9h-Xg7zjPU/default.jpg URL=http://www.youtube.com/watch?v=H9h-Xg7zjPU description=Differential equations describe relationships that involve quantities and their rates of change. See how we write the equation for such a relationship. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-intro/e/write-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/separable-differential-equations-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-intro/v/differential-equation-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: exponential solution to differential equation | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/pRuwcphjJeg/default.jpg URL=http://www.youtube.com/watch?v=pRuwcphjJeg description=The solution of the general differential equation dy/dx=ky (for some k) is C_e__ (for some C). See how this is derived and used for finding a particular solution to a differential equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-exp-models/e/exponential-model-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/area-under-rate-net-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-exp-models/v/particular-solution-given-initial-conditions-for-population?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: slope field from equation | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/sPe6qoQFFD8/default.jpg URL=http://www.youtube.com/watch?v=sPe6qoQFFD8 description=Given a differential equation in x and y, we can draw a segment with dy/dx as slope at any point (x,y). That's the slope field of the equation. See how we match an equation to its slope field by considering the various slopes in the diagram. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/example-of-steps-for-constructing-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/differential-equation-from-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: forming a slope field | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/tgS5kgkZNGw/default.jpg URL=http://www.youtube.com/watch?v=tgS5kgkZNGw description=Given a differential equation in x and y, we can draw a segment with dy/dx as slope at any point (x,y). That's the slope field of the equation. See how we determine the slopes of a few segments in the slope field of an equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/slope-field-to-visualize-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-slope-fields/v/identifying-slope-field-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Jacobian matrix thumb=https://i.ytimg.com/vi/bohL918kXQk/default.jpg URL=http://www.youtube.com/watch?v=bohL918kXQk description=An introduction to how the jacobian matrix represents what a multivariable function looks like locally, as a linear transformation./description type=video name=Local linearity for a multivariable function thumb=https://i.ytimg.com/vi/Vnga_psnCAo/default.jpg URL=http://www.youtube.com/watch?v=Vnga_psnCAo description=A visual representation of local linearity for a function with a 2d input and a 2d output, in preparation for learning about the Jacobian matrix./description type=video name=Jacobian prerequisite knowledge thumb=https://i.ytimg.com/vi/VmfTXVG9S0U/default.jpg URL=http://www.youtube.com/watch?v=VmfTXVG9S0U description=Before jumping into the Jacobian, it's important to make sure we all know how to think about matrices geometrically. This is targetted towards those who have seen linear algebra but may need a quick refresher./description type=video name=Jesus Christ and Christianity | World History | Khan Academy thumb=https://i.ytimg.com/vi/gUbsSL2OiBg/default.jpg URL=http://www.youtube.com/watch?v=gUbsSL2OiBg description=An overview of the life and teachings of Jesus Christ and the birth of Christianity. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/christianity/v/paul-apostles-christianity World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thank you for your support in 2016 thumb=https://i.ytimg.com/vi/q3WJVOsqu7s/default.jpg URL=http://www.youtube.com/watch?v=q3WJVOsqu7s description=We exceeded our 2016 fundraising goal thanks to your generosity and the dedication of so many students, parents, and teachers. Thank you!​/description type=video name=Fall of the Roman Empire | World History | Khan Academy thumb=https://i.ytimg.com/vi/UZ3oEn5Q7U4/default.jpg URL=http://www.youtube.com/watch?v=UZ3oEn5Q7U4 description=From the 3rd to the 5th centuries, the Roman Empire gets divided and less stable. The Western Roman Empire considered to end in 476 with control of Italy by Odoacer. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire-survey/v/ara-pacis-augustae-altar-of-augustan-peace-13-9-b-c-e-rome Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire-survey/v/emperors-of-pax-romana World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: recognizing function from Taylor series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/0BdZZCwDE-I/default.jpg URL=http://www.youtube.com/watch?v=0BdZZCwDE-I description=Sample AP Calculus question asking to recognize a function from its Taylor series. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/e/maclaurin-series-for-sin-x--cos-x--and-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/visualizing-taylor-series-approximations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/evaluating-power-series-for-mystery-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Emperors of Pax Romana | World History | Khan Academy thumb=https://i.ytimg.com/vi/sF3Lh4XT4hg/default.jpg URL=http://www.youtube.com/watch?v=sF3Lh4XT4hg description=Starting with the reign of Augustus and ending with the reign of Marcus Aurelius, the Pax Romana is a relatively stable 200 year period. The first five emperors are of the Julio-Claudia Dynasty. The last five of the Pax Romana are considered the "good" emperors by Machiavelli. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire-survey/v/fall-of-the-roman-empire World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Augustus becomes first Emperor of Roman Empire | World History | Khan Academy thumb=https://i.ytimg.com/vi/Y33LnxG2L80/default.jpg URL=http://www.youtube.com/watch?v=Y33LnxG2L80 description=Octavian is victorious over Marc Antony and Cleopatra and becomes Augustus, first emperor of the Roman Empire. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-a/e/key-concepts--roman-empire Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-a/v/ides-of-march-spark-a-civil-war World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ides of March spark a civil war | World History | Khan Academy thumb=https://i.ytimg.com/vi/zc_p7Mw1A7U/default.jpg URL=http://www.youtube.com/watch?v=zc_p7Mw1A7U description=The power vacuum left by Caesar begins a scramble for power between Octavian and Marc Antony. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-a/v/augustus-becomes-first-emperor-of-roman-empire Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-a/v/caesar-cleopatra-and-the-ides-of-march World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Caesar, Cleopatra and the Ides of March | World History | Khan Academy thumb=https://i.ytimg.com/vi/7DUY9OxFc0E/default.jpg URL=http://www.youtube.com/watch?v=7DUY9OxFc0E description=Julius Caesar installs Cleopatra as Pharaoh in Ptolemaic Egypt and becomes Dictator for Life, only to be assassinated by Brutus on the Ides of March. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-a/v/ides-of-march-spark-a-civil-war Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-a/v/rise-of-julius-caesar World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rise of Julius Caesar | World History | Khan Academy thumb=https://i.ytimg.com/vi/PG3vxLHo1Ws/default.jpg URL=http://www.youtube.com/watch?v=PG3vxLHo1Ws description=Julius Caesar conquers Gaul and ignites a Civil War. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-a/v/caesar-cleopatra-and-the-ides-of-march World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Punic Wars between Rome and Carthage | World History | Khan Academy thumb=https://i.ytimg.com/vi/XHVty6_XTJY/default.jpg URL=http://www.youtube.com/watch?v=XHVty6_XTJY description=Three Punic Wars between Rome and Carthage mark the end of the Carthaginian (Punic) Empire and leave the Roman Republic dominant in the Mediterranean. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire/v/background-of-the-carthaginians World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Background of the Carthaginians | World History | Khan Academy thumb=https://i.ytimg.com/vi/vmay1kIOjdM/default.jpg URL=http://www.youtube.com/watch?v=vmay1kIOjdM description=Sal teaches an introduction to the Carthaginians and their roots as a Phoenician (Punic) colony. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire/v/punic-wars-between-rome-and-carthage Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire/v/roman-social-and-political-structures World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Roman social and political structures | World History | Khan Academy thumb=https://i.ytimg.com/vi/9IXn3xHhkgg/default.jpg URL=http://www.youtube.com/watch?v=9IXn3xHhkgg description=Patricians and plebeians; Roman citizens and Senate and consuls: learn about the political and social structures of ancient Rome. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire/e/key-concepts--roman-republic Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire/v/background-of-the-carthaginians Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire/v/overview-of-the-roman-empire World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Photoperiodism | Plant Biology | Khan Academy thumb=https://i.ytimg.com/vi/AQf3gKTCffs/default.jpg URL=http://www.youtube.com/watch?v=AQf3gKTCffs description=How plants can regulate processes like flowering based on day length (photoperiod). Watch the next lesson: https://www.khanacademy.org/science/biology/plant-responses-to-light-cues/v/2015-ap-biology-free-response-5 Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/plant-responses-to-light-cues/v/phototropism Plant biology on Khan Academy: Plants may seem less interactive than animals. But they actually have many ways of responding to their environment, changing their growth or physiology to make the best use of available resources. Learn more about plants and their response to environmental cues. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interval of convergence for derivative and integral | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/TeIgljoLIxA/default.jpg URL=http://www.youtube.com/watch?v=TeIgljoLIxA description=Integrating or differentiating a power series term-by-term can only work within the interval of convergence. The interval of convergence of the integral/derivative will be the same, except maybe for the endpoints. See an example here. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/maclauren-and-taylor-series-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/differentiating-power-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: estimating e_ using Lagrange error bound | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/IeHlXGpfaeA/default.jpg URL=http://www.youtube.com/watch?v=IeHlXGpfaeA description=Lagrange error bound (also called Taylor remainder theorem) can help us determine the degree of Taylor/Maclaurin polynomial to use to approximate a function to a given error bound. See how it's done when approximating e_ at x=1.45. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/e/taylor-polynomial-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/visualizing-taylor-series-for-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/lagrange-error-bound-for-sine-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: estimating sin(0.4) using Lagrange error bound | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/2KWifFPOy5s/default.jpg URL=http://www.youtube.com/watch?v=2KWifFPOy5s description=Lagrange error bound (also called Taylor remainder theorem) can help us determine the degree of Taylor/Maclaurin polynomial to use to approximate a function to a given error bound. See how it's done when approximating the sine function. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/lagrange-error-bound-exponential-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/proof-bounding-the-error-or-remainder-of-a-taylor-polynomial-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: limit comparison test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/0dWF35WPKfM/default.jpg URL=http://www.youtube.com/watch?v=0dWF35WPKfM description=To use the limit comparison test for a series S_, we need to find another series S_ that is similar in structure (so the infinite limit of S_/S_ is finite) and whose convergence is already determined. See a worked example of using the test in this video. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/e/limit-comparison-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/harmonic-series-divergent?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/limit-comparison-test-cor?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding function from power series by integrating | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/ixFgd1lFe9g/default.jpg URL=http://www.youtube.com/watch?v=ixFgd1lFe9g description=When a power series S_ is an antiderivative of a geometric series S_, we can find the function represented by S_ by integrating the expression for S_. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/e/creating-power-series-from-geometric-series-using-differentiation-and-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-series-opt-vids/v/definition-of-limit-of-a-sequence-and-sequence-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/power-series-using-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Function as a geometric series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/EXIUYib9d8M/default.jpg URL=http://www.youtube.com/watch?v=EXIUYib9d8M description=Expressions of the form a/(1-r) represent the infinite sum of a geometric series whose initial term is a and constant ratio is r, which is written as _a(r)_. Since geometric series are a class of power series, we obtained the power series representation of a/(1-r) very quickly. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/e/creating-power-series-from-geometric-series-using-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/function-as-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/visualizing-taylor-series-approximations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Support Khan Academy and double your impact thumb=https://i.ytimg.com/vi/uhfURKmAxWw/default.jpg URL=http://www.youtube.com/watch?v=uhfURKmAxWw description=We need your help to fulfill our mission of providing a free, world-class education for anyone, anywhere. We’re a nonprofit and rely on donations from people like you to help achieve our goals. All donations made in December will be matched, so every dollar you give goes twice as far. Donate today! https://www.khanacademy.org/donate/description type=video name=Trick involving Maclaurin expansion of cosx thumb=https://i.ytimg.com/vi/3ihRfwICTOU/default.jpg URL=http://www.youtube.com/watch?v=3ihRfwICTOU description=Trick involving Maclaurin expansion of cosx/description type=video name=Worked example: coefficient in Taylor polynomial | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/eo9dra_yIbc/default.jpg URL=http://www.youtube.com/watch?v=eo9dra_yIbc description=Finding the coefficient of the term containing (x+2)_ in the Taylor polynomial centered at x=-2 of x_-x_. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/e/finding-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/error-or-remainder-of-a-taylor-polynomial-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/finding-coefficient-of-maclaurin-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: coefficient in Maclaurin polynomial | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/RRYh4cqv6ZQ/default.jpg URL=http://www.youtube.com/watch?v=RRYh4cqv6ZQ description=Finding the coefficient of the x_ term in a Maclaurin polynomial, given the formula for the value of any derivative at x=0. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/e/finding-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/fourth-degree-coefficient-for-taylor-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/maclaurin-polynomial-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Maclaurin polynomial | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/tWNxdsWoAd4/default.jpg URL=http://www.youtube.com/watch?v=tWNxdsWoAd4 description=Finding the second degree Maclaurin polynomial of 1/Ã(x+1). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/e/finding-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/finding-coefficient-of-maclaurin-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/generalized-taylor-series-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: interval of convergence | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/oXUJXsoCtDs/default.jpg URL=http://www.youtube.com/watch?v=oXUJXsoCtDs description=The interval of converges of a power series is the interval of input values for which the series converges. To find it, we employ various techniques. See how it's done in this video. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/e/find-interval-of-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/integrating-power-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/power-series-radius-interval-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiating power series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/904esvqoJns/default.jpg URL=http://www.youtube.com/watch?v=904esvqoJns description=Within its interval of convergence, the derivative of a power series is the sum of derivatives of individual terms: [_f(x)]'=_f'(x). See how this is used to find the derivative of a power series. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/e/integration-and-differentiation-of-power-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/interval-of-convergence-for-derivative-and-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/integrating-power-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integrating power series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/dEHZV7q5VV0/default.jpg URL=http://www.youtube.com/watch?v=dEHZV7q5VV0 description=Within its interval of convergence, the integral of a power series is the sum of integrals of individual terms: º_f(x)dx=_ºf(x)dx. See how this is used to find the integral of a power series. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/e/integration-and-differentiation-of-power-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/differentiating-power-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/radius-convergence-ratio-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: alternating series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/DPxf4-ta4PM/default.jpg URL=http://www.youtube.com/watch?v=DPxf4-ta4PM description=Example using the alternating series test to determine which values of a variable will make the series converge. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/e/alternating-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/integrals-estimating-p-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/conditional-and-absolute-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of p-series convergence criteria | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/4WChwIGKdaA/default.jpg URL=http://www.youtube.com/watch?v=4WChwIGKdaA description=A p-series converges for p "greater than" 1 and diverges for 0. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2017/v/2017-ap-calculus-abbc-4a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-series-opt-vids/v/infinite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: p-series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/vspcKkcLuuA/default.jpg URL=http://www.youtube.com/watch?v=vspcKkcLuuA description=See how the integral test is put to use in determining whether a sequence converges or diverges. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/e/p-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/comparison-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/integral-test-divergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial sums: term value from partial sum | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/qmWJ3nLII1M/default.jpg URL=http://www.youtube.com/watch?v=qmWJ3nLII1M description=The partial sum of a sequence gives us the sum of the first n terms in the sequence. If we know the formula for the partial sums of a sequence, we can find the value of any term in the sequence. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/finding-term-value-from-sum-formula?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/infinite-series-as-limit-of-partial-sums?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/term-from-partial-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial sums: formula for nth term from partial sum | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/Ppuj5gw78Vc/default.jpg URL=http://www.youtube.com/watch?v=Ppuj5gw78Vc description=The partial sum of a sequence gives as the sum of the first n terms in the sequence. If we know the formula for the partial sums of a sequence, we can find a formula for the nth term in the sequence. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/finding-term-value-from-sum-formula?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/term-from-partial-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/partial-sum-notation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of the Roman Empire | World History | Khan Academy thumb=https://i.ytimg.com/vi/Rl-1snoSWpo/default.jpg URL=http://www.youtube.com/watch?v=Rl-1snoSWpo description=Conquering armies, monumental architecture, and beautiful art: how did Rome achieve all of this? Sal provides an overview of the origins of the Roman Empire. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/roman-empire/v/roman-social-and-political-structures World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Zoroastrianism | World History | Khan Academy thumb=https://i.ytimg.com/vi/F2tqV9u9vzY/default.jpg URL=http://www.youtube.com/watch?v=F2tqV9u9vzY description=A primer on the Zoroastrian religion. Discussions of Zarathustra, Ahura Mazda and the Avesta. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/ancient-persia/v/cyrus-the-great-establishes-the-achaemenid-empire World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cyrus the Great establishes the Achaemenid Empire | World History | Khan Academy thumb=https://i.ytimg.com/vi/EqEEndY0sT8/default.jpg URL=http://www.youtube.com/watch?v=EqEEndY0sT8 description=Cyrus the Great overthrows the Medians to establish the Achaemenid Empire (Persian Empire). Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/ancient-medieval/ancient-persia/e/key-concepts--the-achaemenid-empire Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/ancient-persia/v/zoroastrianism Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/ancient-persia/v/overview-of-ancient-persia World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Share your career story with Khan Academy for our new series thumb=https://i.ytimg.com/vi/su_LWo7wpYU/default.jpg URL=http://www.youtube.com/watch?v=su_LWo7wpYU description=We’re working on a new video series to help anyone, anywhere achieve their career and financial goals. Submit your career story for a chance to be featured in this series: http://khan.co/YourCareerStory/description type=video name=Overview of ancient Persia | World History | Khan Academy thumb=https://i.ytimg.com/vi/uLN8VIcvClo/default.jpg URL=http://www.youtube.com/watch?v=uLN8VIcvClo description=This overview of Ancient Persia explains the origins of the term "Persia" and Zoroastrianism; it also puts the Median, Achaemenid, Seleucid, Parthian, Sassanian dynasties in context. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/ancient-persia/v/cyrus-the-great-establishes-the-achaemenid-empire World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of ancient Greece | World History | Khan Academy thumb=https://i.ytimg.com/vi/I114S4KiOn8/default.jpg URL=http://www.youtube.com/watch?v=I114S4KiOn8 description=Sal provides an overview of ancient Greece from the Greek Dark Ages to Archaic Greece to the Classical and Hellenistic periods. Familiarity with the major greek city-states (especially Athens and Sparta), including the most known traditions. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/golden-age-of-athens-pericles-and-greek-culture World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Meaning of Lagrange multiplier thumb=https://i.ytimg.com/vi/m-G3K2GPmEQ/default.jpg URL=http://www.youtube.com/watch?v=m-G3K2GPmEQ description=In the previous videos on Lagrange multipliers, the Lagrange multiplier itself has just been some proportionality constant that we didn't care about. Here, you can see what its real meaning is./description type=video name=Diadochi and the Hellenistic Period | World History | Khan Academy thumb=https://i.ytimg.com/vi/AgYVtucDPt8/default.jpg URL=http://www.youtube.com/watch?v=AgYVtucDPt8 description=Alexander's Empire fragments into Seleucid Persia, Ptolemaic Egypt and Antigonid Macedonia (and other kingdoms) and gives rise to the Hellenistic Period. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/alexander-the-great/v/alexander-the-great-conquers-persia World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Lagrangian thumb=https://i.ytimg.com/vi/hQ4UNu1P2kw/default.jpg URL=http://www.youtube.com/watch?v=hQ4UNu1P2kw description=How a special function, called the "Lagrangian", can be used to package together all the steps needed to solve a constrained optimization problem./description type=video name=Jamestown - Bacon's Rebellion thumb=https://i.ytimg.com/vi/Z_VpwQ-yTa4/default.jpg URL=http://www.youtube.com/watch?v=Z_VpwQ-yTa4 description=Kim Kutz Elliott discusses how the system of indentured servitude in colonial Virginia transformed into a system of African slavery after Nathaniel Bacon's rebellion against the House of Burgesses./description type=video name=Alexander the Great conquers Persia | World History | Khan Academy thumb=https://i.ytimg.com/vi/DWyfS9kzalQ/default.jpg URL=http://www.youtube.com/watch?v=DWyfS9kzalQ description=How did Alexander the Great take over Persia? Sal explains. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/alexander-the-great/v/diadochi-and-the-hellenistic-period Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/alexander-the-great/v/alexander-the-great-takes-power World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alexander the Great takes power | World History | Khan Academy thumb=https://i.ytimg.com/vi/Sa5eqaYwQ2Q/default.jpg URL=http://www.youtube.com/watch?v=Sa5eqaYwQ2Q description=Alexander the Great takes power Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/alexander-the-great/v/alexander-the-great-conquers-persia Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/alexander-the-great/v/philip-of-macedon-unifies-greece World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Philip of Macedon unifies Greece | World History | Khan Academy thumb=https://i.ytimg.com/vi/yCUs43CYMoI/default.jpg URL=http://www.youtube.com/watch?v=yCUs43CYMoI description=How did Philip of Macedon unify Greece? Sal discusses his rise to power, the League of Corinth, and the rise of Alexander the Great. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/alexander-the-great/v/alexander-the-great-takes-power World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Peloponnesian War | World History | Khan Academy thumb=https://i.ytimg.com/vi/CNN2d7uG6IY/default.jpg URL=http://www.youtube.com/watch?v=CNN2d7uG6IY description=An overview of the Peloponnesian War, including the Archidamian War, the Athenian attack on Syracuse, and the Decelean War. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/prelude-to-the-peloponnesian-war World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Prelude to the Peloponnesian War | World History | Khan Academy thumb=https://i.ytimg.com/vi/B736-QoSLh8/default.jpg URL=http://www.youtube.com/watch?v=B736-QoSLh8 description=Tensions rise between Athens and Sparta. This leads to the Peloponnesian War. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/the-peloponnesian-war Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/second-persian-invasion World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second Persian Invasion thumb=https://i.ytimg.com/vi/ybcmd6yLH3c/default.jpg URL=http://www.youtube.com/watch?v=ybcmd6yLH3c description=Xerxes launches an attack on Greece by land and by sea, culminating in the Battle of Thermopylae. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/prelude-to-the-peloponnesian-war Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/beginning-of-the-greco-persian-wars World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Beginning of the Greco Persian Wars | World History | Khan Academy thumb=https://i.ytimg.com/vi/pwwNxWXf1eU/default.jpg URL=http://www.youtube.com/watch?v=pwwNxWXf1eU description=What were the Greco Persian wars and how did they start? Sal explains. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/second-persian-invasion Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/classical-greece/v/socrates-plato-aristotle World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal distribution and conditional distribution | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/CAXQvTKP8sg/default.jpg URL=http://www.youtube.com/watch?v=CAXQvTKP8sg description=Marginal distribution and conditional distribution. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/distributions-two-way-tables/v/marginal-distribution-and-conditional-distribution?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Lagrange multiplier example, part 2 thumb=https://i.ytimg.com/vi/5gCx5YCmXbI/default.jpg URL=http://www.youtube.com/watch?v=5gCx5YCmXbI description=Finishing off the example from the previous video/description type=video name=Lagrange multiplier example, part 1 thumb=https://i.ytimg.com/vi/BSKtQcLQLWU/default.jpg URL=http://www.youtube.com/watch?v=BSKtQcLQLWU description=A Lagrange multipliers example of maximizing revenues subject to a budgetary constraint./description type=video name=Finishing the intro lagrange multiplier example thumb=https://i.ytimg.com/vi/aep6lwPqm6I/default.jpg URL=http://www.youtube.com/watch?v=aep6lwPqm6I description=Working out the algebra for the final solution the the example from the previous two videos./description type=video name=Lagrange multipliers, using tangency to solve constrained optimization thumb=https://i.ytimg.com/vi/yuqB-d5MjZA/default.jpg URL=http://www.youtube.com/watch?v=yuqB-d5MjZA description=The Lagrange multiplier technique is how we take advantage of the observation made in the last video, that the solution to a constrained optimization problem occurs when the contour lines of the function being maximized are tangent to the constraint curve./description type=video name=Constrained optimization introduction thumb=https://i.ytimg.com/vi/vwUV2IDLP8Q/default.jpg URL=http://www.youtube.com/watch?v=vwUV2IDLP8Q description=See a simple example of a constrained optimization problem and start getting a feel for how to think about it. This introduces the topic of Lagrange multipliers./description type=video name=Matched pairs experiment design | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/UEFBGewP2ik/default.jpg URL=http://www.youtube.com/watch?v=UEFBGewP2ik description=Matched pairs experiment design. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/statistics-experiments/v/matched-pairs-experiment-design?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to experiment design | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/DaBq0naj0YY/default.jpg URL=http://www.youtube.com/watch?v=DaBq0naj0YY description=Introduction to experiment design. Explanatory and response variables. Control and treatment groups. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/statistics-experiments/v/introduction-to-experiment-design?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Judging outliers in a dataset | Summarizing quantitative data | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/FRlTh5HQORA/default.jpg URL=http://www.youtube.com/watch?v=FRlTh5HQORA description=Using the inter-quartile range (IQR) to judge outliers in a dataset. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/summarizing-quantitative-data-ap/stats-box-whisker-plots/v/judging-outliers-in-a-dataset?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Techniques for generating a simple random sample | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/acfjqWTwee0/default.jpg URL=http://www.youtube.com/watch?v=acfjqWTwee0 description=Techniques for generating a simple random sample. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/sampling-methods/v/techniques-for-generating-a-simple-random-sample?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Examples of bias in surveys | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/r1R00l8Z5lg/default.jpg URL=http://www.youtube.com/watch?v=r1R00l8Z5lg description=Examples of bias in surveys. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/sampling-observational-studies/v/examples-of-bias-in-surveys?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Example of under coverage introducing bias | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/D9f7dCMxu2Y/default.jpg URL=http://www.youtube.com/watch?v=D9f7dCMxu2Y description=Example of undercoverage introducing bias. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/sampling-observational-studies/v/example-of-under-coverage-introducing-bias?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Types of statistical studies | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/SaP1O0i1bdc/default.jpg URL=http://www.youtube.com/watch?v=SaP1O0i1bdc description=Types of statistical studies. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/types-of-studies-experimental-vs-observational/v/types-of-statistical-studies?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Techniques for random sampling and avoiding bias | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/PdXDLNNXPik/default.jpg URL=http://www.youtube.com/watch?v=PdXDLNNXPik description=Techniques for random sampling and avoiding bias. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/sampling-methods/v/techniques-for-random-sampling-and-avoiding-bias?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example identifying observational study | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/tHFyaoIrV14/default.jpg URL=http://www.youtube.com/watch?v=tHFyaoIrV14 description=Worked example identifying observational study. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/types-of-studies-experimental-vs-observational/v/worked-example-identifying-observational-study?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example identifying experiment | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/28lzQ_OhBHY/default.jpg URL=http://www.youtube.com/watch?v=28lzQ_OhBHY description=Worked example identifying experiment. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/types-of-studies-experimental-vs-observational/v/worked-example-identifying-experiment?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Worked example identifying sample study thumb=https://i.ytimg.com/vi/QSHMOWQUZ54/default.jpg URL=http://www.youtube.com/watch?v=QSHMOWQUZ54 description=Worked example identifying sample study/description type=video name=Identifying a sample and population | Study design | AP Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VPM84_yfx5Q/default.jpg URL=http://www.youtube.com/watch?v=VPM84_yfx5Q description=Identifying a sample and population. View more lessons or practice this subject at http://www.khanacademy.org/math/ap-statistics/gathering-data-ap/sampling-observational-studies/v/identifying-a-sample-and-population?utm_source=youtube&utm_medium=desc&utm_campaign=apstatistics AP Statistics on Khan Academy: Meet one of our writers for AP¨_ Statistics, Jeff. A former high school teacher for 10 years in Kalamazoo, Michigan, Jeff taught Algebra 1, Geometry, Algebra 2, Introductory Statistics, and AP¨_ Statistics. Today he's hard at work creating new exercises and articles for AP¨_ Statistics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ancient history and the Old Testament | World History | Khan Academy thumb=https://i.ytimg.com/vi/Ih26fli0vAU/default.jpg URL=http://www.youtube.com/watch?v=Ih26fli0vAU description=High level overview from Ancient Egypt to Babylon with reference to stories from the Old Testament World History on Khan Academy: From prehistory to today, this course covers the human events that have shaped our planet. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dataset individuals and categorical variables thumb=https://i.ytimg.com/vi/MVm3PKsXl78/default.jpg URL=http://www.youtube.com/watch?v=MVm3PKsXl78 description=Worked example of Khan Academy exercise involving types of variables./description type=video name=Rome becomes dominant | World History | Khan Academy thumb=https://i.ytimg.com/vi/bzL6w6sTwTM/default.jpg URL=http://www.youtube.com/watch?v=bzL6w6sTwTM description=Continuing our survey of ancient history. End with a dominant Rome and the life of Jesus. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/new-topic-2016-12-28T23:49:42.513Z/v/ancient-greeks-and-persians World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ancient Greeks and Persians | World History | Khan Academy thumb=https://i.ytimg.com/vi/FV5on4e9LeQ/default.jpg URL=http://www.youtube.com/watch?v=FV5on4e9LeQ description=Sal provides an overview of the Greco-Persian Wars and the Peloponnesian War. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/new-topic-2016-12-28T23:49:42.513Z/v/rome-becomes-dominant Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/new-topic-2016-12-28T23:49:42.513Z/v/survey-from-neo-babylonians-to-persians World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Survey from Neo Babylonians to Persians | World History | Khan Academy thumb=https://i.ytimg.com/vi/GdlYMKScDj4/default.jpg URL=http://www.youtube.com/watch?v=GdlYMKScDj4 description=Continuing our fast survey of ancient history with references to the stories from the Old Testament. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/ancient-medieval/new-topic-2016-12-28T23:49:42.513Z/v/ancient-greeks-and-persians World History on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expansion of presidential power | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/O8pAsJBvfcA/default.jpg URL=http://www.youtube.com/watch?v=O8pAsJBvfcA description=Sal and Jeffrey Rosen, head of the National Constitution Center, discuss how presidential power has expanded over time. Learn more about the Constitution Center and the Interactive Constitution here: https://constitutioncenter.org/interactive-constitution. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/expansion-of-presidential-power?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The President as Commander-in-Chief | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/78_l5SSmbRM/default.jpg URL=http://www.youtube.com/watch?v=78_l5SSmbRM description=Sal and Jeffrey Rosen, head of the National Constitution Center, discuss the powers of the President in times of war using the Constitution Center's Interactive Constitution. Check out the Interactive Constitution here: https://constitutioncenter.org/interactive-constitution. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/the-president-as-commander-in-chief?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Presidential precedents of George Washington | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/wz2QnEl699I/default.jpg URL=http://www.youtube.com/watch?v=wz2QnEl699I description=Sal and National Constitution Center director Jeffrey Rosen discuss how George Washington's presidency helped shape the office. See more from the National Constitution Center's Interactive Constitution here: https://constitutioncenter.org/interactive-constitution. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/presidential-precedents-of-george-washington?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Constitutional powers of the president | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/xMrQuCZBijg/default.jpg URL=http://www.youtube.com/watch?v=xMrQuCZBijg description=Jeffrey Rosen, head of the National Constitution Center, gives an overview of Article II of the United States' Constitution (which covers the powers of the President). See more from the National Constitution Center's Interactive Constitution here: https://constitutioncenter.org/interactive-constitution. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/constitutional-powers-of-the-president?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Jamestown - life and labor in the Chesapeake thumb=https://i.ytimg.com/vi/Advpf1WgMiQ/default.jpg URL=http://www.youtube.com/watch?v=Advpf1WgMiQ description=Kim discusses how the tobacco plantation system led to indentured servitude and eventually slavery in the area surrounding Jamestown and the Chesapeake Bay./description type=video name=Jamestown - the impact of tobacco thumb=https://i.ytimg.com/vi/jZnJLEyJtBU/default.jpg URL=http://www.youtube.com/watch?v=jZnJLEyJtBU description=Kim discusses how John Rolfe's discovery that Virginia was the perfect environment to cultivate tobacco led to Jamestown's success -- and to a great deal of conflict between the English and the Powhatans, resulting in the first and second Anglo-Powhatan Wars./description type=video name=Jamestown - John Smith and Pocahontas thumb=https://i.ytimg.com/vi/MjXOYLefass/default.jpg URL=http://www.youtube.com/watch?v=MjXOYLefass description=Kim discusses the early difficulties of the English colonists at Jamestown, and clears up some common misconceptions about John Smith and Pocahontas./description type=video name=Early English settlements - Jamestown thumb=https://i.ytimg.com/vi/g1lC2OIMipA/default.jpg URL=http://www.youtube.com/watch?v=g1lC2OIMipA description=Kim discusses how after many years of unsuccessful settlements, the English founded the colony of Jamestown in Virginia./description type=video name=The Lost Colony of Roanoke - settlement and disappearance thumb=https://i.ytimg.com/vi/D9Y8Doh5a9c/default.jpg URL=http://www.youtube.com/watch?v=D9Y8Doh5a9c description=Kim and David continue discussing the Lost Colony of Roanoke. What happened when the English colonists finally settled on the coast of North Carolina? What are the prevailing theories about what happened to the colonists?/description type=video name=The Lost Colony of Roanoke - background and first attempts thumb=https://i.ytimg.com/vi/ghLhtqtp3ZQ/default.jpg URL=http://www.youtube.com/watch?v=ghLhtqtp3ZQ description=Kim and David discuss the mystery of the "Lost Colony" on Roanoke Island, the English settlement in North America that vanished in the late 1500s. In this video, Kim and David set the stage for the colonial venture and discuss the first two missions to Roanoke Island./description type=video name=Sal teaches Grover about the electoral college | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/p-n_YOtUnqU/default.jpg URL=http://www.youtube.com/watch?v=p-n_YOtUnqU description=Sal helps our favorite Sesame Street character understand how we elect the president of the United States. Check out more lessons about American civics on Khan Academy at http://www.khanacademy.org. And vote November 3 if you’re eligible! View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/sal-teaches-grover-about-the-electoral-college?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Overview of Ancient Mesopotamia thumb=https://i.ytimg.com/vi/9uvckgMLjTM/default.jpg URL=http://www.youtube.com/watch?v=9uvckgMLjTM description=Some context on Mesopotamia, including Akkadians, Sumerians, Babylonians and Assyrians./description type=video name=Solving system with elimination | Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NPXTkj75-AM/default.jpg URL=http://www.youtube.com/watch?v=NPXTkj75-AM description=Worked example of solving a system of linear equations with elimination. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/alg-basics-systems-of-equations/alg-basics-elimination-method-systems/v/how-many-bags-of-potato-chips-do-people-eat Missed the previous lesson? Watch here: https://www.khanacademy.org/math/algebra-basics/alg-basics-systems-of-equations/alg-basics-elimination-method-systems/v/king-s-cupcakes-solving-systems-by-elimination Algebra on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy India Talent Search 2016 thumb=https://i.ytimg.com/vi/5vP19zUIo4Q/default.jpg URL=http://www.youtube.com/watch?v=5vP19zUIo4Q description=Learn more and submit your videos: http://khanacademy.org/r/indiatalentsearch Khan Academy is looking for brilliant explainers whose videos help students succeed in school and find joy in learning. We are looking for submissions in Math and Science from VI to XII Standards in English and Hindi. If you have a passion for teaching and a knack for making challenging concepts seem simple, send us one of your videos! The top finalists will be considered for video creation contracts with Khan Academy. In addition, they will receive cash prizes, have their videos published on Khan Academy and a chance to interact with Sal Khan, the founder of Khan Academy. Send us your video today! http://khanacademy.org/r/indiatalentsearch/description type=video name=Choosing kinematic equations | One-dimensional motion | AP Physics 1 | Khan Academy thumb=https://i.ytimg.com/vi/P3jCdsWJa38/default.jpg URL=http://www.youtube.com/watch?v=P3jCdsWJa38 description=How to set up problems with constant acceleration and choose the best kinematic equation to solve for the target unknown. View more lessons or practice this subject at http://www.khanacademy.org/science/ap-physics-1/ap-one-dimensional-motion/motion-with-constant-acceleration/v/choosing-kinematic-equations?utm_source=youtube&utm_medium=desc&utm_campaign=apphysics1 AP Physics 1 on Khan Academy: Meet one of our writers for AP¨_ Physics, Sean. A physics teacher for seven years, Sean has taught AP¨_ Physics 1, AP¨_ Physics C, and Conceptual Physics. HeÕs also a former mechanical engineer. Sean is based in Boise, Idaho, and is a Khan Academy physics fellow, creating awesome new exercises and articles for AP¨_ Physics. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Sal Khan and Francis Ford Coppola fireside chat thumb=https://i.ytimg.com/vi/QA81QUt5Xjs/default.jpg URL=http://www.youtube.com/watch?v=QA81QUt5Xjs description=Sal interviews legendary filmmaker Francis Ford Coppola./description type=video name=Animal communication thumb=https://i.ytimg.com/vi/f0_8Umbbr2w/default.jpg URL=http://www.youtube.com/watch?v=f0_8Umbbr2w description=Introduction to animal communication/description type=video name=Ethology and animal behavior thumb=https://i.ytimg.com/vi/gwf5Xy5p_DI/default.jpg URL=http://www.youtube.com/watch?v=gwf5Xy5p_DI description=Introduction the ethology, the study of animal behavior./description type=video name=Worked example: Identifying isotopes and ions | Chemistry | Khan Acaddemy thumb=https://i.ytimg.com/vi/koAFBScR41A/default.jpg URL=http://www.youtube.com/watch?v=koAFBScR41A description=Identifying isotopes and ions and accounting for electrons, protons and neutrons. Watch the next lesson: https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-compounds/v/empirical-molecular-and-structural-formulas Missed the previous lesson? Watch here: https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-the-atom/v/atomic-number-mass-number-and-isotopes Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating atomic weight | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/EPvd-3712U8/default.jpg URL=http://www.youtube.com/watch?v=EPvd-3712U8 description=Calculating atomic weight. Watch the next lesson: https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-the-atom/v/the-mole-and-avogadro-s-number Missed the previous lesson? Watch here: https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-the-atom/v/atomic-weight-and-atomic-mass Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Eutrophication and dead zones | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/AxaWXWd2pw4/default.jpg URL=http://www.youtube.com/watch?v=AxaWXWd2pw4 description=Eutrophication and dead zones. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeography/v/distribution-how Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/phosphorous-cycle Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Phosphorous cycle | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/tm2LG5ScT1g/default.jpg URL=http://www.youtube.com/watch?v=tm2LG5ScT1g description=Introduction to the phosphorous cycle. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/eutrophication-and-dead-zones Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/nitrogen-cycle Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Nitrogen cycle | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/DsCMYyQ0NWU/default.jpg URL=http://www.youtube.com/watch?v=DsCMYyQ0NWU description=Introduction to the nitrogen cycle Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/phosphorous-cycle Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/carbon-cycle Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Carbon cycle | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/_dYkByQ9Kmg/default.jpg URL=http://www.youtube.com/watch?v=_dYkByQ9Kmg description=Overview of the carbon cycle. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/nitrogen-cycle Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/the-water-cycle Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Motivations for English colonization thumb=https://i.ytimg.com/vi/wT2cfxFnx_U/default.jpg URL=http://www.youtube.com/watch?v=wT2cfxFnx_U description=In the late 1500s and early 1600s, the United Kingdom cast its gaze westward and joined the quest for American colonies. In this video, Kim discusses the motivations for English colonization, including competition with Catholic nations for riches and souls, and the development of 'joint-stock' companies./description type=video name=England in the Age of Exploration thumb=https://i.ytimg.com/vi/DZxG2miqgZI/default.jpg URL=http://www.youtube.com/watch?v=DZxG2miqgZI description=England didn't start its first successful colony in North America until 1607, more than 100 years after Columbus arrived in the New World. In this video, Kim discusses the problems that prevented England from following in Spain's footsteps, including struggles for the throne, war in Ireland, and economic depression./description type=video name=Khan Academy’s 100&Change proposal: World-class diplomas for anyone, anywhere thumb=https://i.ytimg.com/vi/yOP0R4GaoeY/default.jpg URL=http://www.youtube.com/watch?v=yOP0R4GaoeY description=Khan Academy is a nonprofit with a mission of providing a free, world-class education for anyone, anywhere. We’re entering a MacArthur Foundation competition, called 100&Change, for a $100 million grant to help solve a critical problem of our time. Millions of people lack the skills and credentials to participate in the global economy. To address this, our long-term goal is to develop internationally-recognized diplomas that provide direct access to economic and educational opportunities. We also plan to create free content and tools to help people earn the diplomas. If we win the grant, we’ll be able to accelerate the development of the diplomas, content, and tools. We want to connect people to real economic opportunity and unlock human potential for generations to come. If you believe in our vision, please share our video and comment below. PROBLEM STATEMENT Too many people lack the skills and credentials to participate meaningfully in the global economy. This is caused by problems at every stage of our education pipeline, from inadequate school access to low graduation rates. The United Nations estimates that 263 million children, including half of all refugee children, are not in school. In the United States alone, 55% of college students never earn a diploma. These challenges will be exacerbated in the near term by the global refugee crisis and in the long term by automation as new industries are created and old jobs made obsolete. For many of the millions shut out of the modern economy, like girls in oppressive societies, laid-off workers, refugees, and prisoners, traditional routes to employment are out of reach. Cost, time constraints, and social barriers limit access. Even those with degrees are often underemployed, as curricula are disconnected from employers’ needs. Online learning materials are becoming widely accessible, but they are not yet connected directly to economic empowerment. There have been many attempts to address aspects of this problem, but the solutions are often piecemeal, hard to scale, expensive, or locale-specific. Solving this problem is imperative for millions who want a better life for themselves and their families; for employers, who need an increasingly skilled entry-level workforce; for educational institutions, who want to help more people achieve their potential; and for society at large, as disenfranchisement and underemployment breed discontent, instability, and extremism. SOLUTION STATEMENT We plan to develop​ internationally-recognized diplomas that provide direct access to economic and educational opportunities. To support this, we will create free content and tools to help people earn our diplomas at their own pace, regardless of their incoming skills. An Afghan girl forbidden by the Taliban from attending school will now be able to study on her mobile phone, gain admission to a top university, and become a physicist. A father in Detroit who dropped out of high school will demonstrate his skills and work ethic to earn an entry-level job that supports his family. A school leader in Kenya will use these resources to ensure her students receive a rigorous education with international relevance. Khan Academy is already used by more than 100 million people around the world every year. These diplomas will connect current and future Khan Academy learners, including those in underserved communities and war-torn regions, to real economic opportunities. We will develop the diplomas in close partnership with educational institutions and employers to ensure relevance. In addition to academic skills, we will recognize metacognitive skills, like perseverance, not measured by traditional degrees. Unlike other offerings, we will track job placement and performance to measure the efficacy of the diplomas and continuously improve them. Tools will enable teachers and mentors to track learners’ progress and provide support. The initial release will be available in several major languages. Together, we can unlock the potential of hundreds of millions of people for generations to come./description type=video name=Sal discusses the Breakthrough Junior Challenge thumb=https://i.ytimg.com/vi/MRxomlM091w/default.jpg URL=http://www.youtube.com/watch?v=MRxomlM091w description=The Breakthrough Junior Challenge is an annual competition for students, ages 13-18, to share their passion for math and science with the world! To enter, submit a video (max 5 minutes) that explains a challenging and important concept or theory in mathematics, life sciences, or physics. The winner will get a $250,000 college scholarship. The deadline for video submission is October 10. Learn more at https://breakthroughjuniorchallenge.org./description type=video name=The Seven Years' War part 2 thumb=https://i.ytimg.com/vi/egCzfiaUYPA/default.jpg URL=http://www.youtube.com/watch?v=egCzfiaUYPA description=The first years of the Seven Years' War didn't go well for the British (even though 22 year old George Washington was in command!). Then they decided to spend a lot of money on winning the war -- and they succeeded! The only problem was how to pay back their debt . . . maybe some new taxes on the American colonists?/description type=video name=The Seven Years' War part 1 thumb=https://i.ytimg.com/vi/UAhbwYBAoe0/default.jpg URL=http://www.youtube.com/watch?v=UAhbwYBAoe0 description=Kim discusses the Seven Years' War (known in North America as the French and Indian War), the first truly global war in which the British and the French competed to be the world's foremost imperial power./description type=video name=Phototropism | Plant Biology | Khan Academy thumb=https://i.ytimg.com/vi/2A_LKrLlhxE/default.jpg URL=http://www.youtube.com/watch?v=2A_LKrLlhxE description=Phototropism and the role that auxin plays. Watch the next lesson: https://www.khanacademy.org/science/biology/plant-responses-to-light-cues/v/photoperiodism Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/plant-responses-to-light-cues/v/2015-ap-biology-free-response-5 Plant biology on Khan Academy: Plants may seem less interactive than animals. But they actually have many ways of responding to their environment, changing their growth or physiology to make the best use of available resources. Learn more about plants and their response to environmental cues. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Jacksonian Democracy part 4 thumb=https://i.ytimg.com/vi/mSzaJXR6MhA/default.jpg URL=http://www.youtube.com/watch?v=mSzaJXR6MhA description=In the final video in this series, Kim discusses Andrew Jackson's presidency and how he attempted to increase the power of the executive branch. A growing movement of opposition to Jackson coalesced into the Whig Party, which employed many of the same tactics as Jackson in the election of 1840./description type=video name=Jacksonian Democracy part 3 thumb=https://i.ytimg.com/vi/GnOf2f68Sao/default.jpg URL=http://www.youtube.com/watch?v=GnOf2f68Sao description=Rematch! Kim discusses the presidential election of 1828, when Andrew Jackson once again ran against John Quincy Adams and won. This election was the first to employ many modern election tactics, such as mudslinging./description type=video name=Jacksonian Democracy part 2 thumb=https://i.ytimg.com/vi/m_Z3dWw7mVw/default.jpg URL=http://www.youtube.com/watch?v=m_Z3dWw7mVw description=Kim discusses the contested presidential election of 1824, when John Quincy Adams faced off against Andrew Jackson and Henry Clay./description type=video name=Jacksonian Democracy part 1 thumb=https://i.ytimg.com/vi/o0K8bb9uJQ4/default.jpg URL=http://www.youtube.com/watch?v=o0K8bb9uJQ4 description=Kim discusses how modern American political culture began to emerge in the early nineteenth century as the right to vote was extended to a broader segment of American citizens./description type=video name=The Second Great Awakening - part 3 thumb=https://i.ytimg.com/vi/LHwqEqOtrBg/default.jpg URL=http://www.youtube.com/watch?v=LHwqEqOtrBg description=In the last video in this series, Kim Kutz Elliott discusses some of the new religious movements and reform movements that grew out of the Second Great Awakening./description type=video name=The Second Great Awakening - part 2 thumb=https://i.ytimg.com/vi/n_ZyBwiV-Vs/default.jpg URL=http://www.youtube.com/watch?v=n_ZyBwiV-Vs description=Kim Kutz Elliott explores some of the social and economic factors in the early nineteenth century that may have led to the Second Great Awakening./description type=video name=The Second Great Awakening - part 1 thumb=https://i.ytimg.com/vi/wnaLjLOAwkc/default.jpg URL=http://www.youtube.com/watch?v=wnaLjLOAwkc description=Kim Kutz Elliott discusses the Second Great Awakening, a period of religious revival in the early nineteenth century in the United States./description type=video name=The Market Revolution - part 3 thumb=https://i.ytimg.com/vi/Qyi_J9jANlU/default.jpg URL=http://www.youtube.com/watch?v=Qyi_J9jANlU description=So what's the big deal about the Market Revolution, anyway? Kim Kutz Elliott describes how it changed the nature of American labor, markets, and culture./description type=video name=The Market Revolution - part 2 thumb=https://i.ytimg.com/vi/LRmEmbP-UOU/default.jpg URL=http://www.youtube.com/watch?v=LRmEmbP-UOU description=Canals, railroads, steamboats, telegraphs! Kim Kutz Elliott talks about the transportation and communication revolutions of the early 19th century and how they changed American business./description type=video name=The Market Revolution - part 1 thumb=https://i.ytimg.com/vi/KwIQy8xBOsk/default.jpg URL=http://www.youtube.com/watch?v=KwIQy8xBOsk description=Kim Kutz Elliott discusses the Market Revolution in US history, starting with the inventions that brought new productivity and forms of work to American business - the Industrial Revolution./description type=video name=Biogeochemical cycles | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/ccWUDlKC3dE/default.jpg URL=http://www.youtube.com/watch?v=ccWUDlKC3dE description=Thinking about how key elements are cycled through ecosystems. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/the-water-cycle Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/intro-to-ecosystems/v/flow-of-energy-and-matter-through-ecosystems Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The water cycle | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/jFjI6y46QRk/default.jpg URL=http://www.youtube.com/watch?v=jFjI6y46QRk description=How water cycles on Earth. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/carbon-cycle Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/biogeochemical-cycles Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Impedance of simple networks thumb=https://i.ytimg.com/vi/smLN8WKJjas/default.jpg URL=http://www.youtube.com/watch?v=smLN8WKJjas description=Impedance of two elements in series is a complex number. Impedance terminology: reactance, susceptance, admittance./description type=video name=KVL in the frequency domain thumb=https://i.ytimg.com/vi/779k4-oFjuc/default.jpg URL=http://www.youtube.com/watch?v=779k4-oFjuc description=Demonstration that Kirchhoff's voltage law applies in the frequency domain. The voltage phase offsets around a loop sum to zero./description type=video name=Flow of energy and matter through ecosystem | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/TitrRpMUt0I/default.jpg URL=http://www.youtube.com/watch?v=TitrRpMUt0I description=Seeing how energy and matter flows and is recycled from primary producers (autotrophs) to primary, secondary and tertiary consumers. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeochemical-cycles/v/biogeochemical-cycles Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/intro-to-ecosystems/v/ecosystems-and-biomes Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ecosystems and biomes | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/A495e31cDdE/default.jpg URL=http://www.youtube.com/watch?v=A495e31cDdE description=Introduction to ecosystems and biomes. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/intro-to-ecosystems/v/flow-of-energy-and-matter-through-ecosystems Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/community-structure-and-diversity/v/ecological-succession Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Welcomes Duck Duck Moose thumb=https://i.ytimg.com/vi/23BJ6_iigUA/default.jpg URL=http://www.youtube.com/watch?v=23BJ6_iigUA description=We’re excited to announce that Duck Duck Moose, an award-winning developer of educational apps for young children, is now part of Khan Academy./description type=video name=ELI the ICE man thumb=https://i.ytimg.com/vi/2yqjMiFUMlA/default.jpg URL=http://www.youtube.com/watch?v=2yqjMiFUMlA description=Remember the relationship between current and voltage in an inductor and capacitor with the help of ELI the ICE man./description type=video name=Parallel structure | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/2l2FgUrln1A/default.jpg URL=http://www.youtube.com/watch?v=2l2FgUrln1A description=Parallel structure isn’t a set rule, but more of a stylistic choice: it helps sentence elements maintain a pattern. This is a very special episode because it’s Paige’s last video with us as a KA intern! We will miss having Paige as a contributor to the Grammar Team. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/parallel-structure Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/relative-clauses-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex sentences | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/CsrM_RpqXek/default.jpg URL=http://www.youtube.com/watch?v=CsrM_RpqXek description=Complex sentences are simple sentences with dependent or subordinate clauses added to them. Paige and Rosie explain how to spot them and use them in this video. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/compound-complex-sentences-syntax-khan-academy Missed the previous lesson? watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/simple-and-compound-sentences-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound-complex sentences | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/Hnmm57B0JgQ/default.jpg URL=http://www.youtube.com/watch?v=Hnmm57B0JgQ description=Compound-complex sentences are compound sentences with dependent or subordinate clauses added to them. Paige and Rosie explain how to spot and use them. Practice this yourself on Khan Academy right now www.khanacademy.org/syntax/e/complex-and-compound-complex-sentences/ Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/subject-verb-agreement-syntax-khan-academy Missed the previous lesson? watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/complex-sentences-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dangling modifiers | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/SjunMcrXgE0/default.jpg URL=http://www.youtube.com/watch?v=SjunMcrXgE0 description=A modifying word or phrase “dangles” when it doesn’t apply to the word it’s supposed to modify. Learn how to spot and fix this problem! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/dangling-modifiers/ Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/phrases-and-clauses-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/identifying-subject-direct-object-and-indirect-object-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exclamations | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/kZkfZwTCed8/default.jpg URL=http://www.youtube.com/watch?v=kZkfZwTCed8 description=An exclamation is a sentence that expresses great emotion! David and Paige covered declarative, interrogative, and imperative sentences; now they tackle a fourth type of sentence that ends in an exclamation mark. Find out more! Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/simple-and-compound-sentences-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/three-types-of-sentence-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dependent and independent clauses | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/sAo6LbCUAQo/default.jpg URL=http://www.youtube.com/watch?v=sAo6LbCUAQo description=Independent clauses can stand on their own as sentences, but dependent clauses can’t. We’ll take a closer look at what this means. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/dependent-and-independent-clauses Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/relative-clauses-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/phrases-and-clauses-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Phrases and clauses | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/49EsnvxVQec/default.jpg URL=http://www.youtube.com/watch?v=49EsnvxVQec description=A phrase is any collection of words that behaves like a part of speech, like a noun phrase (“my brother Stu”), an adjectival phrase (“in a different shade of blue”), or an adverbial phrase (“with elegance and tact”). A clause is any noun phrase plus a verb; they can be sentences, but they don’t always have to be. You’ll see! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/introduction-to-phrases-and-clauses Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/dependent-and-independent-clauses-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/dangling-modifiers-sentences-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Run-ons and comma splices | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/Fh45mhVsZrU/default.jpg URL=http://www.youtube.com/watch?v=Fh45mhVsZrU description=A run-on sentence doesn’t separate any of its independent clauses with the punctuation that it needs, and a comma splice incorrectly separates two independent clauses with a comma, instead of a comma-and-coordinating-conjunction. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/recognizing-run-ons-and-comma-splices Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/subjects-and-predicates-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/recognizing-fragments-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relative clauses | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/fm7QEiEk83o/default.jpg URL=http://www.youtube.com/watch?v=fm7QEiEk83o description=A relative pronoun is a word like “that” or “which” or “who”, so a relative clause is a clause that begins with a relative pronoun. In the sentence “The dragon who breathed blue fire has retired,” “who breathed blue fire” is a relative clause. Learn more about these constructions by watching the video! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/relative-clauses Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/parallel -structure-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/dependent-and-independent-clauses-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pronoun-antecedent agreement | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/j9kIACViG60/default.jpg URL=http://www.youtube.com/watch?v=j9kIACViG60 description=An antecedent is “the thing that came before”. When you use a pronoun, it’s standing in for a word you used previously—that’s the antecedent. Join us as we demonstrate how to make sure that your pronouns and antecedents match up with one another: that’s called agreement! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/pronoun-antecedent-agreement Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/recognizing-fragments-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/subject-verb-agreement-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing fragments | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/xpoZBnXHg3E/default.jpg URL=http://www.youtube.com/watch?v=xpoZBnXHg3E description=A sentence fragment is a chunk of language that hasn’t made it all the way to being a working sentence; it might be missing a verb, or there might not be a subject. Learn how to turn a fragment into a sentence in this video! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/recognizing-fragments Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/run-ons-and-comma-splices-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/pronoun-antecedent-agreement-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple and compound sentences | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/3DGKY3eM9PY/default.jpg URL=http://www.youtube.com/watch?v=3DGKY3eM9PY description=A simple sentence contains one independent clause. A compound sentence contains more than one! Put another way: a simple sentence contains a subject and a predicate, but a compound sentence contains more than one subject and more than one predicate. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/simple-and-compound-sentences Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/complex-sentences-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/the-exclamation-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subject-verb agreement | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/4fMipjAnlRk/default.jpg URL=http://www.youtube.com/watch?v=4fMipjAnlRk description=Agreement is the art of making sure that sentence parts agree with one another; you want to make sure that your subjects and verbs match up. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/subject-verb-agreement Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/pronoun-antecedent-agreement-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/compound-complex-sentences-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subject, direct object, and indirect object | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/OSE3OiRGlgE/default.jpg URL=http://www.youtube.com/watch?v=OSE3OiRGlgE description=A subject is the noun phrase that drives the action of a sentence; in the sentence “Jake ate cereal,” Jake is the subject. The direct object is the thing that the subject acts upon, so in that last sentence, “cereal” is the direct object; it’s the thing Jake ate. An indirect object is an optional part of a sentence; it’s the recipient of an action. In the sentence “Jake gave me some cereal,” the word “me” is the indirect object; I’m the person who got cereal from Jake. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/identifying-subject--direct-object--and-indirect-object Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/dangling-modifiers-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/subjects-and-predicates-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Three types of sentence | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/ld8r6NGXRts/default.jpg URL=http://www.youtube.com/watch?v=ld8r6NGXRts description=Three essential types of sentence are declarative sentences (which are statements), interrogative sentences (which are questions), and imperative sentences (which are orders). Join us as we give examples of each! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/declarative--interrogative--and-imperative-sentences Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/exclamations-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/what-is-a-sentence-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subjects and predicates | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/qXykcBGNvbk/default.jpg URL=http://www.youtube.com/watch?v=qXykcBGNvbk description=A subject is the noun or pronoun-based part of a sentence, and a predicate is the verb-based part that the subject performs. Let’s explore how that works in context. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/syntax/e/identifying-subject-and-predicate Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/subject-direct-object-and-indirect-object-syntax-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/syntax/v/run-ons-and-comma-splices-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is a sentence? | Syntax | Khan Academy thumb=https://i.ytimg.com/vi/TeiuG81mbII/default.jpg URL=http://www.youtube.com/watch?v=TeiuG81mbII description=A sentence is a grammatically complete idea. All sentences have a noun or pronoun component called the subject, and a verb part called the predicate. David and Paige explore this division across several different example sentences. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/syntax/v/three-types-of-sentence-syntax-khan-academy Syntax on Khan Academy: Syntax is the ordering of language; it’s the study of how sentences work. In this section, we’ll scratch the surface of syntax as it applies to English grammar. Much more can be said about this subject, but we’ll save that for KA Linguistics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Monroe Doctrine thumb=https://i.ytimg.com/vi/Woh4gwIFpic/default.jpg URL=http://www.youtube.com/watch?v=Woh4gwIFpic description=KA's US history fellow Kim Kutz Elliott discusses the Monroe Doctrine./description type=video name=Ordering fractions | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/ONsI-yIbsBg/default.jpg URL=http://www.youtube.com/watch?v=ONsI-yIbsBg description=Lindsay orders 7/10, 1/3, and 5/6 using common denominators. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions/e/ordering_fractions Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions/v/comparing-fractions-2 Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions/v/comparing-fractions-with-different-denominators 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex rotation thumb=https://i.ytimg.com/vi/CIQmq1wOjnc/default.jpg URL=http://www.youtube.com/watch?v=CIQmq1wOjnc description=Multiplying a real or complex number by the imaginary unit j corresponds to a rotation by +90 degrees. This is the key feature of j that makes it such a useful number./description type=video name=Diode graphical solution thumb=https://i.ytimg.com/vi/IMZ2D8Nz6sA/default.jpg URL=http://www.youtube.com/watch?v=IMZ2D8Nz6sA description=We solve a diode circuit graphically by plotting a diode i-v curve and resistor to find the intersection. Graphical solution methods are a common way to work with non-linear components like diodes./description type=video name=Ecological succession | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/d7xbyNSxxrI/default.jpg URL=http://www.youtube.com/watch?v=d7xbyNSxxrI description=Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/biogeography/v/distribution-how Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/community-structure-and-diversity/v/introduced-species-and-biodiversity Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rounding whole numbers: missing digit | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/Hixy7TX-Nwo/default.jpg URL=http://www.youtube.com/watch?v=Hixy7TX-Nwo description=Lindsay finds the missing digit in an estimation problem by using a number line. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-rounding/e/rounding-whole-numbers-2 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/v/introduction-to-decimals Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-rounding/v/rounding-whole-numbers-3 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding whole numbers by their place values | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/35HD5UTScN0/default.jpg URL=http://www.youtube.com/watch?v=35HD5UTScN0 description=Lindsay adds numbers like 19 thousands + 7 tens by thinking about their place values. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-num-forms/e/understanding-whole-number-representations Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-comparing-multi-digit-numbers/v/comparing-whole-number-place-values Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-num-forms/v/regrouping-numbers-intro-various-place-values 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping whole number place values | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/i7lqWXKuhhQ/default.jpg URL=http://www.youtube.com/watch?v=i7lqWXKuhhQ description=Lindsay regroups whole numbers by their place values. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-num-forms/e/understanding-whole-number-representations Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-comparing-multi-digit-numbers/v/comparing-whole-number-place-values Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-num-forms/v/regrouping-numbers-intro-various-place-values 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Canceling zeros when dividing | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/ccS5Fy5yLjk/default.jpg URL=http://www.youtube.com/watch?v=ccS5Fy5yLjk description=Lindsay breaks down division problems involving multiples of 10. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-nice-division/e/cancelling-zeros-in-division Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-div-pv-area/v/division-using-understanding-of-place-value Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/v/4-digit-times-1-digit-example 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quotients that are multiples of 10 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/UzXoxglkr98/default.jpg URL=http://www.youtube.com/watch?v=UzXoxglkr98 description=Lindsay breaks down division problems using multiples of 10. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-nice-division/e/quotients-that-are-multiples-of-10 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-div-pv-area/v/division-using-understanding-of-place-value Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/v/4-digit-times-1-digit-example 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing multi-digit numbers | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/nrOA1U5jH6Q/default.jpg URL=http://www.youtube.com/watch?v=nrOA1U5jH6Q description=Lindsay compares multi-digit numbers such as 350,000 and 53,000. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-comparing-multi-digit-numbers/e/comparing-multi-digit-numbers Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-comparing-multi-digit-numbers/v/comparing-whole-number-place-values Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-num-forms/v/regrouping-numbers-intro-various-place-values 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying 10s | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/uHHnwafYivk/default.jpg URL=http://www.youtube.com/watch?v=uHHnwafYivk description=Lindsay multiplies multiples of 10 by other multiples of 10, such as 30x50. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-10s-100s-1000s/e/multiplying-tens Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/more-ways-to-think-about-multiplying Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying 1-digit numbers by multiples of 10, 100, and 1000 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/tHQOAvbyRL0/default.jpg URL=http://www.youtube.com/watch?v=tHQOAvbyRL0 description=Lindsay finds a pattern from multiplying 1-digit numbers by multiples of 10, 100, and 1000. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-10s-100s-1000s/e/multiply-1-digit-number-by-multiple-of-10-100-1000 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/more-ways-to-think-about-multiplying Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying 1-digit numbers by 10, 100, and 1000 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/SG4gX-VGzog/default.jpg URL=http://www.youtube.com/watch?v=SG4gX-VGzog description=Lindsay finds a pattern from multiplying 1-digit numbers by 10, 100, and 1000. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-10s-100s-1000s/e/multiply-1-digit-number-by-10--100-1000 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/more-ways-to-think-about-multiplying Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Place value when multiplying and dividing by 10 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/Ehd3cgRBvl0/default.jpg URL=http://www.youtube.com/watch?v=Ehd3cgRBvl0 description=Lindsay discusses how multiplying and diving by 10 affects place value. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/e/understanding-place-value-1 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-num-forms/v/place-value-3 Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing whole numbers by 10 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/bVi7_6tqiQo/default.jpg URL=http://www.youtube.com/watch?v=bVi7_6tqiQo description=Lindsay finds a pattern from dividing whole numbers by 10. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/e/dividing-whole-numbers-by-10 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-place-value-intro/v/place-value-1 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying whole numbers by 10 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/TXaWqy52dZY/default.jpg URL=http://www.youtube.com/watch?v=TXaWqy52dZY description=Lindsay finds a pattern from multiplying whole numbers by 10. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/e/multiplying-by-10 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-place-value-intro/v/place-value-1 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Place value blocks | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/zVhQY173Yyo/default.jpg URL=http://www.youtube.com/watch?v=zVhQY173Yyo description=Lindsay identifies numbers represented by place value blocks. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-place-value-intro/e/place-value-blocks Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-10-relates-to-place-value/v/understanding-place-value-1-exercise Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-place-value-rounding/cc-4th-place-value-intro/v/largest-possible-number-from-4-digits-example 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying symmetrical figures | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/59s_CQjTD6w/default.jpg URL=http://www.youtube.com/watch?v=59s_CQjTD6w description=Lindsay identifies lines of symmetry on three shapes. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry/e/drawing-lines-of-symmetry-and-symmetrical-figures Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry/e/axis_of_symmetry Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry/v/axis-of-symmetry 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Classifying shapes by lines and angles | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/xO4n3LfmVag/default.jpg URL=http://www.youtube.com/watch?v=xO4n3LfmVag description=Lindsay classifies a shape based on hints about its sides and angles. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes/e/classifying-shapes-by-line-and-angle-types Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes/v/quadrilateral-properties Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes/v/classifying-shapes-examples 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angles in circles word problem | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/_jRXtJz3CYc/default.jpg URL=http://www.youtube.com/watch?v=_jRXtJz3CYc description=Lindsay solves a word problems about angles as part of a circle. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles-in-circle/e/angles-in-circles Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles-in-circle/v/angle-measurement-and-circle-arcs Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-constructing-angles/v/constructing-angles 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring angles with a circular protractor | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/Ttji2_wBSEo/default.jpg URL=http://www.youtube.com/watch?v=Ttji2_wBSEo description=Lindsay measures angles with a circular protractor. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles-in-circle/e/angles-in-circles Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles-in-circle/v/angle-measurement-and-circle-arcs Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-constructing-angles/v/constructing-angles 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decomposing angles | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/uMj46crbLaw/default.jpg URL=http://www.youtube.com/watch?v=uMj46crbLaw description=Lindsay finds the measure of angle using addition. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/4th-decomposing-angles/e/decomposing-angles Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/4th-decomposing-angles/v/decomposing-angles Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/acute-right-and-obtuse-angles 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Atlantic slave trade thumb=https://i.ytimg.com/vi/7lcCdMr0Cek/default.jpg URL=http://www.youtube.com/watch?v=7lcCdMr0Cek description=US history intern Becca and US history fellow Kim discuss the beginning of the Atlantic slave trade and the emergence of a race-based system of slavery in the Americas./description type=video name=The encomienda system thumb=https://i.ytimg.com/vi/aEy6xua3gl8/default.jpg URL=http://www.youtube.com/watch?v=aEy6xua3gl8 description=KA's US history intern Becca and US history fellow Kim discuss the emergence of the encomienda system in the Spanish colonies of North America./description type=video name=Christopher Columbus part 2 thumb=https://i.ytimg.com/vi/_uCmDXKsWUM/default.jpg URL=http://www.youtube.com/watch?v=_uCmDXKsWUM description=KA's US history intern Becca and US history fellow Kim discuss Christopher Columbus's legacy in the United States./description type=video name=Common denominators: 3/5 and 7/2 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/0EwwoDVJVPQ/default.jpg URL=http://www.youtube.com/watch?v=0EwwoDVJVPQ description=Lindsay uses fraction models and multiplication to find common denominators for 3/5 and 7/2. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic#cc-5th-common-denominators Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-5th-common-denominators/e/common-denominators Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/v/equivalent-amount-of-pizza 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Common denominators: 1/2 and 1/3 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/hp-HJvqNAfA/default.jpg URL=http://www.youtube.com/watch?v=hp-HJvqNAfA description=Lindsay uses fraction models and multiplication to find common denominators for 1/2 and 1/3. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic#cc-5th-common-denominators Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-5th-common-denominators/e/common-denominators Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/v/equivalent-amount-of-pizza 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Christopher Columbus part 1 thumb=https://i.ytimg.com/vi/jPofntFycKc/default.jpg URL=http://www.youtube.com/watch?v=jPofntFycKc description=In this video, KA's US history intern Becca examines some common misconceptions about Christopher Columbus's voyage to the New World./description type=video name=Peopling the Americas thumb=https://i.ytimg.com/vi/jaizoayO9yU/default.jpg URL=http://www.youtube.com/watch?v=jaizoayO9yU description=KA's US history intern Becca and US history fellow Kim discuss how people first arrived in North America 16,000 years ago./description type=video name=Common denominators: 1/4 and 5/6 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/T8U7hCmUdpo/default.jpg URL=http://www.youtube.com/watch?v=T8U7hCmUdpo description=Lindsay uses fraction models and multiplication to find common denominators for 1/4 and 5/6. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic#cc-5th-common-denominators Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-5th-common-denominators/e/common-denominators Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/v/equivalent-amount-of-pizza 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Eulers sine wave thumb=https://i.ytimg.com/vi/1tSrRYU6LKM/default.jpg URL=http://www.youtube.com/watch?v=1tSrRYU6LKM description=A sine wave emerges from Euler's Formula. Music, no narration. Animated with d3.js./description type=video name=Impedance vs frequency thumb=https://i.ytimg.com/vi/I21hginkKk0/default.jpg URL=http://www.youtube.com/watch?v=I21hginkKk0 description=The impedance of inductors and capacitors depends on frequency. We discover the origin of the phrase "a capacitor looks like a short at high frequency."/description type=video name=Euler's cosine wave thumb=https://i.ytimg.com/vi/zGTzWgSDFR0/default.jpg URL=http://www.youtube.com/watch?v=zGTzWgSDFR0 description=A cosine wave emerges from Euler's Formula. Music, no narration. Created with d3.js The background music is NirvanaVEVO by Chris Zabriskie. It is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/) Source: http://chriszabriskie.com/uvp/, Artist: http://chriszabriskie.com//description type=video name=Sine and cosine from rotating vector thumb=https://i.ytimg.com/vi/a_zReGTxdlQ/default.jpg URL=http://www.youtube.com/watch?v=a_zReGTxdlQ description=One way to generate sine and cosine is to track the motion of a rotating vector./description type=video name=Sine of time thumb=https://i.ytimg.com/vi/R3en76G8_W0/default.jpg URL=http://www.youtube.com/watch?v=R3en76G8_W0 description=If we introduce time as the argument to the sine function, we get a sine wave./description type=video name=Interactions between populations | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/q2zdiLn3gSE/default.jpg URL=http://www.youtube.com/watch?v=q2zdiLn3gSE description=Interspecific interactions: competition, predation, herbivory, symbiosis, parasitism, mutualism, commensalism. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/community-structure-and-diversity/v/biodiversity-ecosystems-and-ecological-networks Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/thomas-malthus-and-population-growth Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits at infinity of quotients with trig (limit undefined) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/waWYIKAfkWw/default.jpg URL=http://www.youtube.com/watch?v=waWYIKAfkWw description=Sal analyzes the limit of (x_+1)/sin(x) at infinity. It turns out this limit doesn't exist, as the function keeps oscillating between positive and negative infinity. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-discontinuities/v/types-of-discontinuities?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limit-at-infinity-involving-trig-defined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits at infinity of quotients with trig | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/oAQnDsmu41E/default.jpg URL=http://www.youtube.com/watch?v=oAQnDsmu41E description=Sal finds the limit of cosx/(x_-1) at infinity, by putting it between two limits of rational functions, 1/(x_-1) and -1/(x_-1). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limit-at-infinity-involving-trig-undefined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limit-at-infinity-of-rational-expression-with-radical-even?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Predator prey cycle | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/NYq2078_xqc/default.jpg URL=http://www.youtube.com/watch?v=NYq2078_xqc description=What effect do interactions between species have on the sizes of the populations involved? Learn about the dynamics of predator and prey populations, and how they can influence one another’s patterns of growth and decline. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/thomas-malthus-and-population-growth Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/density-dependent-and-density-independent-population-regulation Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Population regulation | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/6IS_M6CX7FE/default.jpg URL=http://www.youtube.com/watch?v=6IS_M6CX7FE description=Learn the difference between density-dependent and density-independent factors that affect population growth, and explore examples of each. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/predator-prey-cycle Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/exponential-and-logistic-growth-in-populations Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/KOntbZIna1E/default.jpg URL=http://www.youtube.com/watch?v=KOntbZIna1E description=Khan Academy has teamed up with College Board, the makers of the SAT, to create free, official SAT practice for all students. Get personalized practice recommendations based on your performance on the PSAT/NMSQT, check out helpful video tutorials, do timed mini-sections to increase your speed, and take full-length tests to get ready for the real thing. Official, personalized practice, for free, for you./description type=video name=Exponential and logistic growth in populations | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/KyAKEisg2PQ/default.jpg URL=http://www.youtube.com/watch?v=KyAKEisg2PQ description=Learn about population growth rates and how they can be modeled by exponential and logistic equations. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/density-dependent-and-density-independent-population-regulation Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/population-ecology/v/organism-life-history-and-fecundity Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Apoptosis | Cell division | Biology | Khan Academy thumb=https://i.ytimg.com/vi/gNFDONSjB7Q/default.jpg URL=http://www.youtube.com/watch?v=gNFDONSjB7Q description=Learn how apoptosis, or programmed cell death, is different from cell death by injury. We discuss its role in development and body maintenance./description type=video name=Organism life history and fecundity | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/mAdUjImDx58/default.jpg URL=http://www.youtube.com/watch?v=mAdUjImDx58 description=How do organisms use different life history strategies to maximize fitness? Learn about different ways that different species allocate energy and other resources between growth, maintenance/survival, and reproduction. Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/population-growth-and-regulation/v/exponential-and-logistic-growth-in-populations Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/ecology/intro-to-ecology/v/ecology-introduction Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ecology introduction | Ecology | Khan Academy thumb=https://i.ytimg.com/vi/OfV3VNgjpvw/default.jpg URL=http://www.youtube.com/watch?v=OfV3VNgjpvw description=Ecology is the study of how living things interact with each other and their environment. This includes living things (biotic factors) and non-living things (abiotic factors). Watch the next lesson: https://www.khanacademy.org/science/biology/ecology/population-ecology/v/organism-life-history-and-fecundity Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Phylogenetic trees | Evolution | Khan Academy thumb=https://i.ytimg.com/vi/6_XMKmFQ_w8/default.jpg URL=http://www.youtube.com/watch?v=6_XMKmFQ_w8 description=Learn how to read and draw phylogenetic trees, or cladograms. Watch the next lesson: https://www.khanacademy.org/science/biology/her/tree-of-life/v/2015-ap-biology-free-response-3 Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/her/tree-of-life/v/allopatric-and-sympatric-speciation Ecology on Khan Academy: Why are polar bears found only in the Arctic? Why does mildew grow in your shower and not (hopefully) in your sock drawer? Learn how ecologists study the interactions between organisms and their environment, and how these interactions affect where, and in what numbers, different types of organisms are found. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=RC natural response example (3 of 3) thumb=https://i.ytimg.com/vi/2NRBn6ZLmDc/default.jpg URL=http://www.youtube.com/watch?v=2NRBn6ZLmDc description=An example RC step response, with real component values./description type=video name=Impedance thumb=https://i.ytimg.com/vi/WmTlioVfS78/default.jpg URL=http://www.youtube.com/watch?v=WmTlioVfS78 description=The general notion of the ratio of a sinusoidal voltage to a sinusoidal current is called "impedance". We derive the impedance of a resistor, inductor, and capacitor. The impedance of the inductor and capacitor has a term for frequency, so the impedance of these components depends on frequency./description type=video name=Definite integrals of product of sines thumb=https://i.ytimg.com/vi/PLxHkjrVBgE/default.jpg URL=http://www.youtube.com/watch?v=PLxHkjrVBgE description=Definite integrals of product of sines/description type=video name=Finding Fourier coefficients for square wave thumb=https://i.ytimg.com/vi/WTD8jg8fXoE/default.jpg URL=http://www.youtube.com/watch?v=WTD8jg8fXoE description=Finding Fourier coefficients for square wave/description type=video name=Fourier series coefficients for cosine terms thumb=https://i.ytimg.com/vi/kwqNDIacqt0/default.jpg URL=http://www.youtube.com/watch?v=kwqNDIacqt0 description=Formula for cosine coefficients in a Fourier Series/description type=video name=Integral of product of cosines thumb=https://i.ytimg.com/vi/ki4VK_dQlPs/default.jpg URL=http://www.youtube.com/watch?v=ki4VK_dQlPs description=Definite integral of the product of cosines. The integral of cos(mt) * cos(nt) = 0, except for the special case when m = n. When m = n, the integral evaluates to pi./description type=video name=Definite integrals of sin(mx) and cos(mx) thumb=https://i.ytimg.com/vi/6AWZT8owvO8/default.jpg URL=http://www.youtube.com/watch?v=6AWZT8owvO8 description=Definite integrals of sin(mx) and cos(mx)/description type=video name=Formula for first term in Fourier Series thumb=https://i.ytimg.com/vi/59RIABaGTcs/default.jpg URL=http://www.youtube.com/watch?v=59RIABaGTcs description=Formula for first term in Fourier Series/description type=video name=Definite integral of sine and cosine product thumb=https://i.ytimg.com/vi/EDhYig0bEpA/default.jpg URL=http://www.youtube.com/watch?v=EDhYig0bEpA description=Definite integral of sine and cosine product/description type=video name=Fourier coefficients for sine terms thumb=https://i.ytimg.com/vi/khDD_9g5YTM/default.jpg URL=http://www.youtube.com/watch?v=khDD_9g5YTM description=Formula for Fourier coeffients for sine/description type=video name=Visualizing Fourier expansion of square wave thumb=https://i.ytimg.com/vi/aalANrz7bi8/default.jpg URL=http://www.youtube.com/watch?v=aalANrz7bi8 description=Visualizing the Fourier expansion of square wave. A square wave can be approximated by adding odd harmonics of a sine wave./description type=video name=Eulers formula thumb=https://i.ytimg.com/vi/LE2uwd9V5vw/default.jpg URL=http://www.youtube.com/watch?v=LE2uwd9V5vw description=Euler's formula relates the complex exponential to the cosine and sine functions. This formula is the most important tool in AC analysis. It is why electrical engineers need to understand complex numbers./description type=video name=Fourier Series introduction thumb=https://i.ytimg.com/vi/UKHBWzoOKsY/default.jpg URL=http://www.youtube.com/watch?v=UKHBWzoOKsY description=Fourier Series introduction/description type=video name=Negative frequency thumb=https://i.ytimg.com/vi/SvFfVtRT1UI/default.jpg URL=http://www.youtube.com/watch?v=SvFfVtRT1UI description=The concept of negative frequency is perplexing, but it makes sense when you think about rotating complex exponentials/description type=video name=AC analysis superposition thumb=https://i.ytimg.com/vi/UjiLH7RE8_Y/default.jpg URL=http://www.youtube.com/watch?v=UjiLH7RE8_Y description=A sneak preview of AC analysis: We break a sinusoidal input voltage into two complex exponentials. Using superposition, we recover the complex output signals and reassemble them into a real sinusoidal output voltage./description type=video name=Complex exponentials spin thumb=https://i.ytimg.com/vi/4-gVIRgZi2U/default.jpg URL=http://www.youtube.com/watch?v=4-gVIRgZi2U description=When we put time up in the exponent of a complex exponential, the complex number it represent rotates in a circle on the complex plane. You can think of it as a spinning number!/description type=video name=Eulers formula magnitude thumb=https://i.ytimg.com/vi/XxP6auFa44M/default.jpg URL=http://www.youtube.com/watch?v=XxP6auFa44M description=A closer look at the complex exponential term in Euler's Formula. We see that it represents a complex number, a distance of 1 from the origin of the complex plane./description type=video name=Proof: perpendicular lines have negative reciprocal slope | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/HyThzLRuqXo/default.jpg URL=http://www.youtube.com/watch?v=HyThzLRuqXo description=Sal proves that perpendicular lines have negative reciprocal slope using triangle similarity. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-coordinate-plane-proofs/v/classfying-a-quadrilateral-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/proving-that-parallel-lines-have-the-same-slope?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: parallel lines have the same slope | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/9ZYoIliBXYE/default.jpg URL=http://www.youtube.com/watch?v=9ZYoIliBXYE description=Sal proves that parallel lines have the same slope using triangle similarity. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/proof-that-perpendicular-lines-have-negative-reciprocal-slope?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/find-the-equation-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Points inside/outside/on a circle | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/S6BHQMk8C_A/default.jpg URL=http://www.youtube.com/watch?v=S6BHQMk8C_A description=Sal uses the distance formula to determine whether the point (-6,-6) is inside, outside, or on the circle centered at (-1,-3) with radius 6. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-dist-problems/v/recognizing-points-on-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-dist-problems/v/area-of-trapezoid-on-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of trapezoid on the coordinate plane | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/3AxyrK2jYc8/default.jpg URL=http://www.youtube.com/watch?v=3AxyrK2jYc8 description=Sal finds the area of a trapezoid using the distance formula and the trapezoid area formula. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-dist-problems/v/point-relative-to-circle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-distance-and-midpoints/v/midpoint-formula?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: divergent geometric series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/Gk1mWXIpasE/default.jpg URL=http://www.youtube.com/watch?v=Gk1mWXIpasE description=Sal evaluates the infinite geometric series -0.5+1.5-4.5+... Because the common ratio's absolute value is greater than 1, the series doesn't converge. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/e/geometric-series-of-constants?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/v/bouncing-ball-distance?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/v/evaluating-infinite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: convergent geometric series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/Sify7Bp7BmI/default.jpg URL=http://www.youtube.com/watch?v=Sify7Bp7BmI description=Sal evaluates the infinite geometric series 8+8/3+8/9+... Because the common ratio's absolute value is less than 1, the series converges to a finite number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/e/geometric-series-of-constants?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/v/infinite-geometric-series-not-converging?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/infinite-series-as-limit-of-partial-sums?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing geometric series in sigma notation thumb=https://i.ytimg.com/vi/bT_0pn1lHiY/default.jpg URL=http://www.youtube.com/watch?v=bT_0pn1lHiY description=Writing geometric series in sigma notation/description type=video name=Writing arithmetic series in sigma notation thumb=https://i.ytimg.com/vi/XArCfFaOhoo/default.jpg URL=http://www.youtube.com/watch?v=XArCfFaOhoo description=Writing arithmetic series in sigma notation/description type=video name=Evidence for evolution | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Q-aGAX27SIo/default.jpg URL=http://www.youtube.com/watch?v=Q-aGAX27SIo description=Evidence for evolution Watch the next lesson: https://www.khanacademy.org/science/biology/her/heredity-and-genetics/v/allele-frequency Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/her/evolution-and-natural-selection/v/variation-in-a-species Biology on Khan Academy: Biology, defined as the scientific study of life, is an incredibly broad and diverse field. In many ways, it's as kaleidoscopic and rich as living organisms themselves. Biologists study life at many scales, from cells to organisms to entire ecosystems. Begin your own biological journey here! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: finite geometric series (sigma notation) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/AXP5PGSaaYk/default.jpg URL=http://www.youtube.com/watch?v=AXP5PGSaaYk description=Sal evaluates the geometric series Σ2(3ᵏ) for k=0 to 99 using the finite geometric series formula a(1-rⁿ)/(1-r). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-geo-series/v/three-examples-of-evaluating-finite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-geo-series/v/geometric-series-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked examples: finite geometric series | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/DY9Q3qNmZnw/default.jpg URL=http://www.youtube.com/watch?v=DY9Q3qNmZnw description=Sal evaluates three geometric series (defined in various ways) using the finite geometric series formula a(1-rⁿ)/(1-r). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-geo-series/v/deriving-formula-for-sum-of-finite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-geo-series/v/example-finding-sum-of-finite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Discussions of conditions for Hardy Weinberg | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Q618DALi2eo/default.jpg URL=http://www.youtube.com/watch?v=Q618DALi2eo description=Discussions of conditions for Hardy Weinberg Watch the next lesson: https://www.khanacademy.org/science/biology/her/heredity-and-genetics/v/genetic-drift-bottleneck-effect-and-founder-effect Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/her/heredity-and-genetics/v/applying-hardy-weinberg Biology on Khan Academy: Biology, defined as the scientific study of life, is an incredibly broad and diverse field. In many ways, it's as kaleidoscopic and rich as living organisms themselves. Biologists study life at many scales, from cells to organisms to entire ecosystems. Begin your own biological journey here! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LC natural response derivation 4 thumb=https://i.ytimg.com/vi/51UHJnjUOSs/default.jpg URL=http://www.youtube.com/watch?v=51UHJnjUOSs description=In this final step of the derivation, we find two initial conditions and use them to come up with a sinusoidal solution for the LC natural response./description type=video name=Multiplying by j is rotation thumb=https://i.ytimg.com/vi/giO5ACdU2LA/default.jpg URL=http://www.youtube.com/watch?v=giO5ACdU2LA description=Multiplying any real or complex number by the imaginary unit j corresponds to a rotation. This is the key feature of j that makes it such a useful number./description type=video name=LC natural response derivation 3 thumb=https://i.ytimg.com/vi/p-b6k9jyIkE/default.jpg URL=http://www.youtube.com/watch?v=p-b6k9jyIkE description=We use Euler's Formula to change our complex exponential solution into a solution expressed in terms of sines and cosines./description type=video name=LC natural response example thumb=https://i.ytimg.com/vi/vkIBypq8MTE/default.jpg URL=http://www.youtube.com/watch?v=vkIBypq8MTE description=We solve the voltage and current if an example LC circuit with given values for L and C, and an initial charge on the capacitor./description type=video name=Origins of life | Biology | Khan Academy thumb=https://i.ytimg.com/vi/rMuj2MGeIAc/default.jpg URL=http://www.youtube.com/watch?v=rMuj2MGeIAc description=An overview of the question of how life first arose on Earth. Watch the next lesson: https://www.khanacademy.org/science/biology/history-of-life-on-earth/the-diversification-of-life/v/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/history-of-life-on-earth/history-life-on-earth/v/beginnings-of-life Biology on Khan Academy: Biology, defined as the scientific study of life, is an incredibly broad and diverse field. In many ways, it's as kaleidoscopic and rich as living organisms themselves. Biologists study life at many scales, from cells to organisms to entire ecosystems. Begin your own biological journey here! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LC natural response derivation 2 thumb=https://i.ytimg.com/vi/aSTvToHuG3I/default.jpg URL=http://www.youtube.com/watch?v=aSTvToHuG3I description=Starting from the differential equation, we come up with a proposed exponential solution and plug it into the equation. This gives us a characteristic equation. A "natural frequency" emerges./description type=video name=Complex numbers thumb=https://i.ytimg.com/vi/wbEEWmJFDVg/default.jpg URL=http://www.youtube.com/watch?v=wbEEWmJFDVg description=Complex numbers can be represented three ways on the complex plane: cartesian coordinates, radius and angle, and exponential form./description type=video name=The early Temperance movement - part 2 thumb=https://i.ytimg.com/vi/gIEQ32s35ZE/default.jpg URL=http://www.youtube.com/watch?v=gIEQ32s35ZE description=KA's US history intern Becca continues to discuss the Temperance movement./description type=video name=The early Temperance movement - part 1 thumb=https://i.ytimg.com/vi/As-YfI9xVB0/default.jpg URL=http://www.youtube.com/watch?v=As-YfI9xVB0 description=KA's US history intern Becca discusses the Temperance movement of the early 19th century./description type=video name=LC natural response intuition 2 thumb=https://i.ytimg.com/vi/DIxU2l204HU/default.jpg URL=http://www.youtube.com/watch?v=DIxU2l204HU description=We can predict the shape of voltage and current in an LC circuit by tracking the motion of charge as it flows back and forth./description type=video name=LC natural response intuition 1 thumb=https://i.ytimg.com/vi/FuuR_SqwXm4/default.jpg URL=http://www.youtube.com/watch?v=FuuR_SqwXm4 description=The inductor-capacitor (LC) circuit is the place where sinewaves are born. We talk about how this circuit works by tracking the movement of an initial charge we placed on the capacitor./description type=video name=LC natural response derivation 1 thumb=https://i.ytimg.com/vi/vvf-qiN9SWA/default.jpg URL=http://www.youtube.com/watch?v=vvf-qiN9SWA description=We begin the derivation of the natural response of the LC circuit, by modeling it with a 2nd-order differential equation./description type=video name=Lead Lag thumb=https://i.ytimg.com/vi/G0h9Sa_s18A/default.jpg URL=http://www.youtube.com/watch?v=G0h9Sa_s18A description=Sine and cosine look similar, except they are out of phase. When we talk about sine and cosine as a function of time, the difference is called "lead" or "lag"./description type=video name=Sine and Cosine come from circles thumb=https://i.ytimg.com/vi/LmxGmUOiP2A/default.jpg URL=http://www.youtube.com/watch?v=LmxGmUOiP2A description=Sine and cosine can be generated by projecting the tip of a vector onto the y-axis and x-axis as the vector rotates about the origin./description type=video name=Trigonometry review thumb=https://i.ytimg.com/vi/6hjr4n4MCPA/default.jpg URL=http://www.youtube.com/watch?v=6hjr4n4MCPA description=A quick review of some ideas from trigonometry that will help us with AC analysis. The definitions of sine, cosine, and tangent, circles, degrees, radians./description type=video name=AC analysis intro 1 thumb=https://i.ytimg.com/vi/7UJi2GQCi00/default.jpg URL=http://www.youtube.com/watch?v=7UJi2GQCi00 description=Solving circuits with differential equations is hard. If we limit ourselves to sinusoidal input signals, a whole new method of AC analysis emerges./description type=video name=AC analysis intro 2 thumb=https://i.ytimg.com/vi/NuAgmNaX58M/default.jpg URL=http://www.youtube.com/watch?v=NuAgmNaX58M description=Here's a preview of how AC analysis is going to work. To get ready we need to review some of the ideas from trig and complex numbers./description type=video name=Allopatric and sympatric speciation | Biology | Khan Academy thumb=https://i.ytimg.com/vi/gnku5AksWvU/default.jpg URL=http://www.youtube.com/watch?v=gnku5AksWvU description=Allopatric and sympatric speciation Watch the next lesson: https://www.khanacademy.org/science/biology/her/tree-of-life/v/biodiversity-and-natural-selection-two Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/her/tree-of-life/v/species Biology on Khan Academy: Biology, defined as the scientific study of life, is an incredibly broad and diverse field. In many ways, it's as kaleidoscopic and rich as living organisms themselves. Biologists study life at many scales, from cells to organisms to entire ecosystems. Begin your own biological journey here! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Genetic drift, bottleneck effect and founder effect | Biology | Khan Academy thumb=https://i.ytimg.com/vi/IRTn0iNkAHI/default.jpg URL=http://www.youtube.com/watch?v=IRTn0iNkAHI description=Genetic drift, bottleneck effect and founder effect Watch the next lesson: https://www.khanacademy.org/science/biology/her/tree-of-life/v/taxonomy-and-the-tree-of-life Missed the previous lesson? Watch here: https://www.khanacademy.org/science/biology/her/heredity-and-genetics/v/discussions-of-conditions-for-hardy-weinberg Biology on Khan Academy: Biology, defined as the scientific study of life, is an incredibly broad and diverse field. In many ways, it's as kaleidoscopic and rich as living organisms themselves. Biologists study life at many scales, from cells to organisms to entire ecosystems. Begin your own biological journey here! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotational kinetic energy | Moments, torque, and angular momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/o7_zmuBweHI/default.jpg URL=http://www.youtube.com/watch?v=o7_zmuBweHI description=In this video David explains what rotational kinetic energy is and how to calculate it. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/rolling-without-slipping-problems?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/more-on-moment-of-inertia?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on Normal force (shoe on floor) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/1CTdrWFNkGo/default.jpg URL=http://www.youtube.com/watch?v=1CTdrWFNkGo description=David explains how to determine the normal force for a variety of scenarios (extra forces, diagonal forces, acceleration) involving a shoe on the floor. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/balanced-unbalanced-forces/v/unbalanced-forces-and-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/normal-contact-force/v/normal-force-in-an-elevator?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Physics 1 review of Centripetal Forces | Physics | Khan Academy thumb=https://i.ytimg.com/vi/0r_JWUkXEkY/default.jpg URL=http://www.youtube.com/watch?v=0r_JWUkXEkY description=In this video David explains each concept for centripetal motion and solves an example problem for each concept. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-concept-review/v/ap-physics-1-review-of-energy-and-work?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-concept-review/v/ap-physics-1-review-of-forces-and-newtons-laws?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Beat frequency | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Ca91iOVGd9A/default.jpg URL=http://www.youtube.com/watch?v=Ca91iOVGd9A description=In this video David explains what beat frequency means, howto find it, and solves a sample problem involving beat frequency. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/standing-waves/v/derivation-of-beat-frequency-formula?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/standing-waves/v/standing-waves-in-tubes-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivation of the mirror equation | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/OIkD1viOMWk/default.jpg URL=http://www.youtube.com/watch?v=OIkD1viOMWk description=In this video David derives the mirror equation and magnification equation. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors/v/mirror-equation-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors/v/convex-parabolic-mirrors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Treating systems (the hard way) | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/QKXeZFwFPS0/default.jpg URL=http://www.youtube.com/watch?v=QKXeZFwFPS0 description=Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/treating-systems/v/treating-systems-easy-way?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/tension-in-an-accelerating-system-and-pie-in-the-face?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Heat capacity at constant volume and pressure | Physics | Khan Academy thumb=https://i.ytimg.com/vi/kZO-XQdBwqk/default.jpg URL=http://www.youtube.com/watch?v=kZO-XQdBwqk description=Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/physical-processes/kinetic-molecular-theory-of-gas/v/kinetic-molecular-theory-of-gases?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/physical-processes/kinetic-molecular-theory-of-gas/v/boltzmanns-constant?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Super hot tension | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/EEnzhdQJUYA/default.jpg URL=http://www.youtube.com/watch?v=EEnzhdQJUYA description=David shows how to solve a super hot tension problem where a can of peppers hangs from two diagonal strings. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/introduction-to-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/mild-and-medium-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Physics 1 Review of Charge and Circuit | Physics | Khan Academy thumb=https://i.ytimg.com/vi/qdmYAXjhWiw/default.jpg URL=http://www.youtube.com/watch?v=qdmYAXjhWiw description=In this video David quickly explains each charge and circuit concept and does a sample question for each one. Created by David SantoPietro. Watch the next lesson: https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-free-response-questions-2015/v/2015-ap-physics-1-free-response-1a?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/review-for-ap-physics-1-exam/ap-physics-1-concept-review/v/ap-physics-1-review-of-waves-and-harmonic-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angular momentum of an extended object | Physics | Khan Academy thumb=https://i.ytimg.com/vi/KFrhclyEpVM/default.jpg URL=http://www.youtube.com/watch?v=KFrhclyEpVM description=In this video David derives and shows how to use the formula for the angular momentum of an extended object. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/cross-product-and-torque?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/constant-angular-momentum-when-no-net-torque?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on Newton's third law | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/VfpKzwrhmqQ/default.jpg URL=http://www.youtube.com/watch?v=VfpKzwrhmqQ description=In this video David explains some of the common misconceptions in dealing with Newton's Third Law. He also shows how to correctly and reliably identify Third Law force pairs. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/normal-contact-force/v/normal-force-and-contact-force?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-third-law-of-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Force vs. time graphs | Impacts and linear momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/8bHPj3ll0vs/default.jpg URL=http://www.youtube.com/watch?v=8bHPj3ll0vs description=In this video, David explains how to use a force vs. time graph to find impulse and solves an example problem to find the final velocity of a spaceship. Watch the next lesson: https://www.khanacademy.org/science/physics/linear-momentum/elastic-and-inelastic-collisions/v/elastic-and-inelastic-collisions?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/2-dimensional-momentum-problem-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Treating systems (the easy way) | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/UrfLAlk2b_8/default.jpg URL=http://www.youtube.com/watch?v=UrfLAlk2b_8 description=David shows the easier way to find the acceleration of two masses connected by a rope. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/treating-systems/v/two-masses-hanging-from-a-pulley?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/treating-systems/v/treating-systems-the-hard-way?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mild and medium tension | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/aHlOp5nYs28/default.jpg URL=http://www.youtube.com/watch?v=aHlOp5nYs28 description=David explains how to solve tension problems for hanging objects. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/super-hot-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/the-force-of-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral of absolute value function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/PWcwhA2BwVk/default.jpg URL=http://www.youtube.com/watch?v=PWcwhA2BwVk description=Sal evaluates the definite integral of f(x)=|x+2| between -4 and 0. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/e/integrating-piecewise-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integrals-of-piecewise-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral of piecewise function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/f5qr1lH6ViU/default.jpg URL=http://www.youtube.com/watch?v=f5qr1lH6ViU description=Sal evaluates definite integral of a piecewise function over an interval that goes through the two cases of the function. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/e/integrating-piecewise-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-of-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-involving-natural-log?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral of rational function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/4WJUEXIksH0/default.jpg URL=http://www.youtube.com/watch?v=4WJUEXIksH0 description=Sal finds the definite integral of (16-x_)/x_ between -1 and -2 using the reverse power rule. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-of-cube-root?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/reverse-power-rule-for-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked examples: Definite integral properties 1 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/pRZzfoM-9lc/default.jpg URL=http://www.youtube.com/watch?v=pRZzfoM-9lc description=Sal evaluates definite integrals of functions given their graphs. He does so using various properties of integrals. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/e/properties-of-definite-integrals-challenge?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/properties-of-definite-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/integrating-function-sums?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked examples: Definite integral properties 2 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/9FLYqh697xI/default.jpg URL=http://www.youtube.com/watch?v=9FLYqh697xI description=Sal evaluates definite integrals of functions given their graphs. He does so using various properties of integrals. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/e/definite-integral-properties-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/definite-integral-using-integration-properties?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/integrating-scaled-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding specific antiderivatives: exponential function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/T8rbpI4OZCc/default.jpg URL=http://www.youtube.com/watch?v=T8rbpI4OZCc description=Sal finds f(0) given that f'(x)=5e_ and f(7)=40+5e_. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/e/indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/v/particular-solution-to-differential-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/v/finding-constant-of-integration-rational?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding specific antiderivatives: rational function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/bjdOWH43-9s/default.jpg URL=http://www.youtube.com/watch?v=bjdOWH43-9s description=Sal finds f(-1) given that f'(x)=24/x_ and f(2)=12. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/e/indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-specific-sol/v/finding-constant-of-integration-exponential?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/v/identifying-separable-equations?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral of radical function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5UWdzPq8_Qs/default.jpg URL=http://www.youtube.com/watch?v=5UWdzPq8_Qs description=Sal finds the definite integral of 12_x between -1 and 8 using the reverse power rule. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-of-sine-based-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/evaluating-definite-integral-with-power-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral involving natural log | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/JMqKtEC2bbY/default.jpg URL=http://www.youtube.com/watch?v=JMqKtEC2bbY description=Sal finds the definite integral of (6+x_)/x_ between 2 and 4. To do that, he has to use the integral of 1/x, which is ln(x). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/e/evaluating-definite-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integrals-of-piecewise-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-of-sine-based-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Functions defined by integrals: switched interval | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Kq5hqFg17bg/default.jpg URL=http://www.youtube.com/watch?v=Kq5hqFg17bg description=Sal evaluates a function defined by the integral of a graphed function. In order to evaluate he must switch the sides of the interval. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-func-defined-by-integral/e/fundamental-theorem-of-calculus-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-func-defined-by-integral/v/evaluating-function-defined-by-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral properties (no graph): function combination | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/TqMxlzZiKg4/default.jpg URL=http://www.youtube.com/watch?v=TqMxlzZiKg4 description=Given the definite integrals of f and g over a specific interval, Sal finds the definite integral (on that interval) of a combination of f and g. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/e/properties-of-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/definite-integral-properties-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/properties-of-definite-integrals-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral of trig function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ldLdWj6DLTw/default.jpg URL=http://www.youtube.com/watch?v=ldLdWj6DLTw description=Sal finds the definite integral of 9sin(x) between 11¹/2 and 6¹. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-involving-natural-log?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-of-cube-root?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral properties (no graph): breaking interval | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/nopnFjMy3rQ/default.jpg URL=http://www.youtube.com/watch?v=nopnFjMy3rQ description=Given the definite integral of f over two intervals, Sal finds the definite integral of f over another, related, interval. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/e/properties-of-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-func-defined-by-integral/v/evaluating-function-defined-by-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/definite-integral-using-integration-properties?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=History of the Democratic Party | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/XVWiAArXYpE/default.jpg URL=http://www.youtube.com/watch?v=XVWiAArXYpE description=A quick overview of the history of the Democratic Party! 200+ years was hard to fit into 16 minutes, but we got most of the highlights, from Jefferson and Jackson through FDR and LBJ. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/history-of-the-democratic-party?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Motion along a curve: finding velocity magnitude | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/nC5UgHDjbcg/default.jpg URL=http://www.youtube.com/watch?v=nC5UgHDjbcg description=Given that a particle moves along the implicit curve xy=16 and given its rate of change with respect to y at some point, Sal finds the magnitude of the particle's velocity vector using implicit differentiation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-accumulation-riemann-sums/bc-def-integral/v/introduction-to-integral-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-derivatives/bc-planar-motion-diff/v/motion-along-a-curve-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mean value theorem example: square root function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Xg24JhQHVCM/default.jpg URL=http://www.youtube.com/watch?v=Xg24JhQHVCM description=Sal finds the number that satisfies the Mean value theorem for f(x)=Ã(4x-3) over the interval [1,3]. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/e/mean-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/getting-a-ticket-because-of-the-mean-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/finding-where-the-derivative-is-equal-to-the-average-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Motion along a curve: finding rate of change | Advanced derivatives | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/Sv3Y0F0ASZ0/default.jpg URL=http://www.youtube.com/watch?v=Sv3Y0F0ASZ0 description=Given that a particle moves along the implicit curve x_y_=16 and given its rate of change with respect to x at some point, Sal finds the particle's rate of change with respect to y using implicit differentiation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-derivatives/bc-planar-motion-diff/v/motion-along-a-curve-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-derivatives/bc-planar-motion-diff/v/planar-motion-example-acceleration-vector?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing concavity (algebraic) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/72L_N7AtCRE/default.jpg URL=http://www.youtube.com/watch?v=72L_N7AtCRE description=Sal finds the intervals where g(x)=-x_+6x_-2x-3 is concave down/up by finding where its second derivative, g'', is positive/negative. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/inflection-points-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/second-derivative-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second derivative test | Using derivatives to analyze functions | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/-cW5hCsc9Yc/default.jpg URL=http://www.youtube.com/watch?v=-cW5hCsc9Yc description=Sal justifies the second derivative test, which is a way of determining relative minima & maxima, and gives an example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/e/second-derivative-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/analyzing-concavity-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/inflection-points-from-second-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflection points (algebraic) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/RoxefQ_Qgm8/default.jpg URL=http://www.youtube.com/watch?v=RoxefQ_Qgm8 description=Sal analyzes the points of inflection of g(x)=_x_-4x_+24x_ by looking for values where the second derivative g'' changes signs. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/mistakes-when-finding-inflection-points-second-derivative-undefined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/analyzing-concavity-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Planar motion example: acceleration vector | Advanced derivatives | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/HFdeHX_wA4k/default.jpg URL=http://www.youtube.com/watch?v=HFdeHX_wA4k description=The position of a particle moving in the xy-plane is given by the position vector (-3t_+4t_,t_+2). Sal analyzes it to find the acceleration vector of the particle at time t=3. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-derivatives/bc-planar-motion-diff/v/motion-along-a-curve-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-derivatives/bc-optimization/v/extreme-derivative-word-problem-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Motion problems: finding the maximum acceleration | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5P1O6tBiTlQ/default.jpg URL=http://www.youtube.com/watch?v=5P1O6tBiTlQ description=The speed of a particle moving along the x-axis is given by v(t)=-t_+6t_+2t. Sal analyzes it to find the time when the particle's acceleration attains its maximum value. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/v/introduction-to-integral-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-motion-diff/v/when-is-a-particle-speeding-up?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Inflection points from first derivative | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ZCnsO65rWX0/default.jpg URL=http://www.youtube.com/watch?v=ZCnsO65rWX0 description=Sal analyzes the graph of a the derivative g' of function g to find all the inflection points of g. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/e/points-of-inflection--graphical-?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/inflection-points-from-second-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/justification-for-inflection-point?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflection points (graphical) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/iWgW2nD4wGQ/default.jpg URL=http://www.youtube.com/watch?v=iWgW2nD4wGQ description=Sal analyzes the graph of a function g to find all the inflection points of g. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/e/analyze-points-of-inflection-graphical?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-second-derivative/v/identifying-inflection-points-from-graphs-of-function-and-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/v/inflection-points?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding decreasing interval given the function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/KblYjo1Ijws/default.jpg URL=http://www.youtube.com/watch?v=KblYjo1Ijws description=Sal finds the intervals where the function f(x)=x_-3x_ is decreasing by finding where f' is negative. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/finding-increasing-interval-given-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/finding-critical-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute minima & maxima (entire domain) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Xhc7Hens0f8/default.jpg URL=http://www.youtube.com/watch?v=Xhc7Hens0f8 description=Sal analyzes the absolute minimum and maximum points of g(x)=x_ln(x) over its entire domain. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-abs-extrema/e/extreme-values-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/v/concavity-concave-upwards-and-concave-downwards-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-abs-extrema/v/using-extreme-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding increasing interval given the derivative | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/sOluh1zX5tE/default.jpg URL=http://www.youtube.com/watch?v=sOluh1zX5tE description=Sal is given that the derivative of function g, is g'(x)=x_/(x-2)_. He uses that to find the intervals where g is increasing, by looking for the intervals where g' is positive. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/e/find-increasing-and-decreasing-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/testing-critical-points-for-local-extrema?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/increasing-decreasing-intervals-given-the-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear approximation of a rational function | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/vRw4ovZK1CQ/default.jpg URL=http://www.youtube.com/watch?v=vRw4ovZK1CQ description=Sal finds a linear expression that approximates y=1/(x-1) around x=-1. This is done by finding the equation of the line tangent to the graph at x=-1, a process called "linear approximation.". Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-rational-func-diff/v/rational-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: finding relative extrema | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/x09FpMmGB4A/default.jpg URL=http://www.youtube.com/watch?v=x09FpMmGB4A description=Sal finds the relative maximum point of g(x)=x_-x_ by analyzing the intervals where its derivative, g', is negative or positive. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/analyzing-mistakes-when-finding-extrema-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/testing-critical-points-for-local-extrema?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=BONUS: "FANBOYS," a mnemonic song | Conjunctions | Parts of speech| Khan Academy thumb=https://i.ytimg.com/vi/RNwD4z3EVDc/default.jpg URL=http://www.youtube.com/watch?v=RNwD4z3EVDc description=FANBOYS" is a mnemonic device you can use to help remember the coordinating conjunctions of English. Team Grammar made this video, figuring that we couldn't very well cover conjunctions without writing a song, now could we? If you're moved to make your own version, send it our way at remix@khanacademy.org; we're excited to hear what you do!/description type=video name=Second derivatives (parametric functions) | Advanced derivatives | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/iHNa1fhV7IA/default.jpg URL=http://www.youtube.com/watch?v=iHNa1fhV7IA description=Sal finds the second derivative of the function defined by the parametric equations x=3e__ and y=3__-1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/e/second-derivatives-parametric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/v/second-derivatives-of-vector-valued-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/v/derivative-of-a-position-vector-valued-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second derivatives (vector-valued functions) | Advanced derivatives | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/-vv63FS__bY/default.jpg URL=http://www.youtube.com/watch?v=-vv63FS__bY description=Sal finds the first and the second derivatives of the vector-valued function h(t)=(-t_-6,4t_+2t+1). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/e/second-derivatives--vector-valued-functions-?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-polar-functions-differentiation/v/derivatives-in-polar-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/v/second-derivative-of-parametric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second derivatives | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WC5VYKI807Q/default.jpg URL=http://www.youtube.com/watch?v=WC5VYKI807Q description=Sal finds the second derivative of y=6/x_. Second derivative is the derivative of the derivative of y. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-second-derivatives/e/second-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/implicit-differentiation-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/applying-chain-rule-twice?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverting and unity-gain op-amp with virtual ground thumb=https://i.ytimg.com/vi/aD6l5bNnJgE/default.jpg URL=http://www.youtube.com/watch?v=aD6l5bNnJgE description=Using the "virtual ground", we reexamine the inverting op-amp circuit and find a solution much quicker. We apply the virtual ground method to a unity-gain buffer (amplifier with gain = 1)./description type=video name=Summing op-amp circuit thumb=https://i.ytimg.com/vi/jlwcIRKCqek/default.jpg URL=http://www.youtube.com/watch?v=jlwcIRKCqek description=This op-amp circuit performs the sum of two input voltages. It is a way to do analog arithmetic on signals./description type=video name=Virtual ground thumb=https://i.ytimg.com/vi/pxKLeIjzxAk/default.jpg URL=http://www.youtube.com/watch?v=pxKLeIjzxAk description=The idea of a "virtual ground" makes some simplifying assumptions and give us a really elegant and simple way to look at op-amp circuits./description type=video name=Inverting op-amp circuit thumb=https://i.ytimg.com/vi/U1KbM4ffiLg/default.jpg URL=http://www.youtube.com/watch?v=U1KbM4ffiLg description=The inverting op-amp circuit is the most commonly used configuration. We analyze the inverting configuration, doing all the algebra from first principles./description type=video name=Feedback thumb=https://i.ytimg.com/vi/ua4eMZTxpQ0/default.jpg URL=http://www.youtube.com/watch?v=ua4eMZTxpQ0 description=Feedback is the design technique where a portion of the amplifier output "feeds back" to the input of the amplifier. The overall effect creates a very stable gain factor determined by resistor ratios./description type=video name=Non-inverting op-amp circuit thumb=https://i.ytimg.com/vi/_Ut-nQ535iE/default.jpg URL=http://www.youtube.com/watch?v=_Ut-nQ535iE description=An op-amp can be used to amplify a voltage. The gain is determined by the ratio of the resistors in the circuit./description type=video name=What is an operational amplifier? thumb=https://i.ytimg.com/vi/lJDjWZqhpVc/default.jpg URL=http://www.youtube.com/watch?v=lJDjWZqhpVc description=The "operational amplifier" has two differential inputs and very high gain. Willy describes the symbol and properties of an op-amp. Op-amps are the backbone of analog circuit design./description type=video name=Radical functions differentiation | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/-_7td0mDbQs/default.jpg URL=http://www.youtube.com/watch?v=-_7td0mDbQs description=Sal differentiates _(x_+4x_+7) and evaluates the derivative at x=-3. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-radical-func-diff/e/differentiate-radical-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/v/derivatives-of-tanx-and-cotx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-example-implicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trig functions differentiation | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/6QRtLh_THmo/default.jpg URL=http://www.youtube.com/watch?v=6QRtLh_THmo description=Sal differentiates sec(3¹/2-x) and evaluates the derivative at x=¹/4. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/e/differentiate-trigonometric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-strategy/v/correcting-work-on-derivative-strategies?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/v/derivatives-of-secx-and-cscx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB ?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential functions differentiation | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/fqYds-feWcw/default.jpg URL=http://www.youtube.com/watch?v=fqYds-feWcw description=Sal differentiates the exponential function 7^(x_-x) using our knowledge of the derivative of a_ and the chain rule. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/e/differentiate-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/using-the-product-rule-and-the-chain-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/exponential-functions-differentiation-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Logarithmic functions differentiation | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WZPpbkVESVk/default.jpg URL=http://www.youtube.com/watch?v=WZPpbkVESVk description=Sal differentiates the logarithmic function log_(x_+x) using our knowledge of the derivative of log_(x) and the chain rule. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/e/differentiate-logarithmic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/differentiating-composite-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/logarithmic-functions-differentiation-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives of inverse functions: from table | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/9Eg97Rtg-pE/default.jpg URL=http://www.youtube.com/watch?v=9Eg97Rtg-pE description=Given a table of values of g, its inverse h, and its derivative g', Sal evaluates the derivative of the inverse, h', at a given x-value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-inverse-func/e/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-inverse-trig/v/derivative-inverse-sine?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-inverse-func/v/derivatives-of-inverse-functions-implicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives of inverse functions: from equation | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/UBctoCirje0/default.jpg URL=http://www.youtube.com/watch?v=UBctoCirje0 description=Given that f(x)=_x_+3x-4, Sal evaluates the derivative of the inverse of f at x=-14. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-inverse-func/v/derivatives-of-inverse-functions-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-inverse-func/v/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives expressed as limits | Advanced derivatives | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/fUWn_SJSLBk/default.jpg URL=http://www.youtube.com/watch?v=fUWn_SJSLBk description=Sal interprets an elaborate limit expression as 5 times the derivative of log(x) at x=2. This way, he can evaluate the limit using differentiation rules instead of directly analyzing the limit (which is hard!). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-existence-theorems/bc-ivt-evt/v/existence-theorems?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-adv-derivatives-opt-vids/v/derivative-natural-logarithm?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Implicit differentiation, product and chain rules at once thumb=https://i.ytimg.com/vi/BSrJi9uEJp0/default.jpg URL=http://www.youtube.com/watch?v=BSrJi9uEJp0 description=Implicit differentiation, product and chain rules at once/description type=video name=Derivative of a parametric function thumb=https://i.ytimg.com/vi/AXasQLqazWU/default.jpg URL=http://www.youtube.com/watch?v=AXasQLqazWU description=Derivative of a parametric function/description type=video name=Chain rule with the power rule thumb=https://i.ytimg.com/vi/TI-j-fr6c4A/default.jpg URL=http://www.youtube.com/watch?v=TI-j-fr6c4A description=Chain rule with the power rule/description type=video name=Derivative of log_x (for any positive base a­1) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/2XB4K6T-yKo/default.jpg URL=http://www.youtube.com/watch?v=2XB4K6T-yKo description=Sal finds the derivative of log_x (for any positive base a­1) using the derivative of ln(x) and the logarithm change of base rule. He then differentiates log_x and -3log_¹(x). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/e/differentiate-logarithmic-functions-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/log-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/derivative-of-lnx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ellipses | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/JmRMfFVw6NE/default.jpg URL=http://www.youtube.com/watch?v=JmRMfFVw6NE description=Ellipses are three little dots that we use to show a pause or that a portion of a quote has been removed. Learn how to use them in this video. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/miscellaneous-punctuation/e/introduction-to-the-ellipsis Missed the previous lesson? Watch here: https://www.khanacademy.org/miscellaneous-punctuation/v/hyphens Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adjectives and commas | Adjectives | Khan Academy thumb=https://i.ytimg.com/vi/OfxiZdsqGeA/default.jpg URL=http://www.youtube.com/watch?v=OfxiZdsqGeA description=When using more than one adjective, sometimes you put a comma between them and sometimes you don't. Learn how to tell when you need a comma in this video! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-modifier/e/commas-and-adjectives Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-the-comparative-and-the-superlative-v2 Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/adjective-order Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to use italics and underlines | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/aqef1Wx4D6w/default.jpg URL=http://www.youtube.com/watch?v=aqef1Wx4D6w description=Learn how to use italics and underlines when writing the titles of works or when emphasizing a particular word or phrase. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/miscellaneous-punctuation/e/italics--underlines--and-quotes/ Watch the next lesson: https://www.khanacademy.org/miscellaneous-punctuation/v/quotation-marks/ Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parentheses | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/hJtaY-iZRvU/default.jpg URL=http://www.youtube.com/watch?v=hJtaY-iZRvU description=Parentheses set off extra information (such as a writer's remarks, an interruption, or a reference) from the rest of a sentence. Learn how to use them in this video! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/miscellaneous-punctuation/e/introduction-to-the-parenthesis Watch the next lesson: https://www.khanacademy.org/miscellaneous-punctuation/v/dashes Missed the previous lesson? Watch here: https://www.khanacademy.org/miscellaneous-punctuation/v/quotation-marks/ Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hyphens vs. dashes | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/CgpExkmY6Y0/default.jpg URL=http://www.youtube.com/watch?v=CgpExkmY6Y0 description=Hyphens and dashes look pretty similar, but their uses are very different! Learn when to use each one in this video. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/miscellaneous-punctuation/e/dashes-and-hyphens Watch the next lesson: https://www.khanacademy.org/miscellaneous-punctuation/v/ellipses Missed the previous lesson? Watch here: https://www.khanacademy.org/miscellaneous-punctuation/v/dashes Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dashes | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/tLmDYzhv6Z0/default.jpg URL=http://www.youtube.com/watch?v=tLmDYzhv6Z0 description=Dashes are like little actors—they can behave like colons, pairs of commas, or parentheses. Learn how to use them in this video! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/miscellaneous-punctuation/e/introduction-to-the-dash Watch the next lesson: https://www.khanacademy.org/miscellaneous-punctuation/v/hyphens Missed the previous lesson? Watch here: https://www.khanacademy.org/miscellaneous-punctuation/v/parentheses Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using quotation marks in titles | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/wiXhK7aEuGY/default.jpg URL=http://www.youtube.com/watch?v=wiXhK7aEuGY description=Learn how to use quotation marks to title things like poems, songs, and episodes of TV shows. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/miscellaneous-punctuation/e/italics--underlines--and-quotes/ Watch the next lesson: https://www.khanacademy.org/miscellaneous-punctuation/v/parentheses Missed the previous lesson? Watch here: https://www.khanacademy.org/miscellaneous-punctuation/v/italics-and-underlining Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential functions differentiation intro | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/gHzLHknEk1M/default.jpg URL=http://www.youtube.com/watch?v=gHzLHknEk1M description=Sal finds the derivative of a_ (for any positive base a) using the derivative of e_ and the chain rule. He then differentiates 8_3_. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/e/differentiate-exponential-functions-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/exponential-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/derivative-of-ex?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Chain rule with table | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/bLKTkM-w5ps/default.jpg URL=http://www.youtube.com/watch?v=bLKTkM-w5ps description=Given the values of f and g (and their derivatives) at some x-values, Sal evaluates the derivative of F(x)=f(g(x)) at a specific x-value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/e/chain_rule_1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-radical-func-diff/v/radical-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-definition-and-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Derivative of ln(Ãx) using the chain rule | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/G2ZXpbMukEQ/default.jpg URL=http://www.youtube.com/watch?v=G2ZXpbMukEQ description=f(x)=ln(Ãx) is a composition of the functions ln(x) and Ãx, and therefore we can differentiate it using the chain rule. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/chain-rule-with-triple-composition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/log-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Derivative of cos_(x) using the chain rule | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/yAFphxolU5w/default.jpg URL=http://www.youtube.com/watch?v=yAFphxolU5w description=f(x)=cos_(x) is a composition of the functions x_ and cos(x), and therefore we can differentiate it using the chain rule. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/chain-rule-definition-and-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/recognizing-compositions-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives of tan(x) and cot(x) | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Rr_1GQyiRYs/default.jpg URL=http://www.youtube.com/watch?v=Rr_1GQyiRYs description=Sal finds the derivatives of tan(x) and cot(x) by writing them as quotients of sin(x) and cos(x) and using quotient rule. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/v/derivatives-of-secx-and-cscx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-radical-func-diff/v/radical-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB ?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/TDJ5nXWEkWM/default.jpg URL=http://www.youtube.com/watch?v=TDJ5nXWEkWM description=Sal finds the derivatives of sec(x) and csc(x) by writing them as 1/sin(x) or 1/cos(x) and using quotient rule. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/e/differentiate-basic-trigonometric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/v/trig-functions-differentiation-sec?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-trig-func/v/derivatives-of-tanx-and-cotx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB ?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiating rational functions | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/wjm5ZYZ4hj8/default.jpg URL=http://www.youtube.com/watch?v=wjm5ZYZ4hj8 description=Sal differentiates the rational function (5-3x)/(x_+3x). This function (and any other rational function) can be differentiated using the Quotient rule! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-rational-func-diff/e/differentiate-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-rational-func-diff/v/linear-approximation-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/v/quotient-rule-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Quotient rule with table | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ZAElYVh5DXU/default.jpg URL=http://www.youtube.com/watch?v=ZAElYVh5DXU description=Given the values of f and f' at x=-1 and that g(x)=2x_, Sal evaluates the derivative of F(x)=f(x)/g(x) at x=-1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/e/quotient_rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-rational-func-diff/v/rational-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/v/quotient-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Product rule with mixed implicit & explicit | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/xioPD_ldZNY/default.jpg URL=http://www.youtube.com/watch?v=xioPD_ldZNY description=Given the values of f and f' at x=-1 and that g(x)=1/x, Sal evaluates the derivative of F(x)=f(x)_g(x) at x=-1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/e/product_rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-quotient-rule/v/quotient-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/v/product-rule-example-implicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Product rule with table | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/SQUSh1LNjIo/default.jpg URL=http://www.youtube.com/watch?v=SQUSh1LNjIo description=Given the values of f and h (and their derivatives) at x=3, Sal evaluates the derivative of f(x)_h(x) at x=3. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/e/product_rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/v/product-rule-example-mixed-implicit-explicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/v/applying-the-product-rule-for-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Product rule example thumb=https://i.ytimg.com/vi/WxTrxxW0qeM/default.jpg URL=http://www.youtube.com/watch?v=WxTrxxW0qeM description=Product rule example involving e^x and cosine/description type=video name=Worked example: Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Iur13MNO0Ro/default.jpg URL=http://www.youtube.com/watch?v=Iur13MNO0Ro description=Sal differentiates g(x)=7sin(x)-3cos(x)-(¹/_x)_. This can be done using the derivatives of sine and cosine, and the Power rule. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-sin-cos/e/differentiate-sine-and-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/v/applying-the-product-rule-for-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-sin-cos/v/derivatives-of-sinx-and-cosx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radical functions differentiation intro | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/JFBdnJzBgcg/default.jpg URL=http://www.youtube.com/watch?v=JFBdnJzBgcg description=Sal differentiates f(x)=-4_x, and evaluates the derivative at x=8. This can actually be done quite easily using the Power rule! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/e/differentiate-radical-functions-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/v/tangent-line-intercept?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/v/fractional-powers-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractional powers differentiation | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/HWFtcIRhr5c/default.jpg URL=http://www.youtube.com/watch?v=HWFtcIRhr5c description=Sal differentiates h(x)=5x^_+7, and evaluates the derivative at x=16. This can actually be done quite easily using the Power rule! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/e/differentiate-fractional-powers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/v/radical-functions-differentiation-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/v/negative-powers-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative powers differentiation | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/W233qRK6HPs/default.jpg URL=http://www.youtube.com/watch?v=W233qRK6HPs description=Sal differentiates g(x)=2/(x_)-1/(x_), and evaluates the derivative at x=2. This can actually be done quite easily using the Power rule! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/e/differentiate-negative-powers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/v/fractional-powers-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/v/tangents-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tangents of polynomials | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/j9FDoYNxZlw/default.jpg URL=http://www.youtube.com/watch?v=j9FDoYNxZlw description=Sal finds the equation of the line tangent to the graph of f(x)=x_-6x_+x-5 at x=1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/e/tangents-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-negative-fraction-powers/v/negative-powers-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/v/differentiating-polynomials-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiating polynomials example | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/-CTaxKTzbEI/default.jpg URL=http://www.youtube.com/watch?v=-CTaxKTzbEI description=Sal differentiates f(x)=x_+2x_-x_, and evaluates the derivative at x=2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/e/power-rule-basic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/v/tangents-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/v/derivative-properties-and-polynomial-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic derivative rules: find the error | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/4l_IvxXD9o8/default.jpg URL=http://www.youtube.com/watch?v=4l_IvxXD9o8 description=Sal analyzes two attempts of students to differentiate linear functions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/e/differentiating-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/v/derivative-properties-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/v/basic-differentiation-rules?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic derivative rules (Part 2) | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/uCLZyTliZj0/default.jpg URL=http://www.youtube.com/watch?v=uCLZyTliZj0 description=Constant multiple rule says that the derivative of f(x)=kg(x) is f'(x)=kg'(x). Sum/Difference rule says that the derivative of f(x)=g(x)±h(x) is f'(x)=g'(x)±h'(x). Sal introduces and justifies these rules. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/v/differentiating-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/v/constant-derivative-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic derivative rules (Part 1) | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/OsPNBYmqxLo/default.jpg URL=http://www.youtube.com/watch?v=OsPNBYmqxLo description=Sal introduces the Constant rule, which says that the derivative of f(x)=k (for any constant k) is f'(x)=0. He also justifies this rule algebraically. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/v/basic-differentiation-rules?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intro-opt-vids/v/differentiability-implies-continuity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiability at a point: algebraic (function isn't differentiable) | Khan Academy thumb=https://i.ytimg.com/vi/BpPHve1cCCs/default.jpg URL=http://www.youtube.com/watch?v=BpPHve1cCCs description=Sal analyzes a piecewise function to see if it's differentiable or continuous at the edge point. In this case, the function is continuous but not differentiable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/e/differentiability-at-a-point-algebraic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/v/derivative-as-slope-of-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-algebraic-is-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiability at a point: algebraic (function is differentiable) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/_DkttKctXFY/default.jpg URL=http://www.youtube.com/watch?v=_DkttKctXFY description=Sal analyzes a piecewise function to see if it's differentiable or continuous at the edge point. In this case, the function is both continuous and differentiable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/e/differentiability-at-a-point-algebraic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-algebraic-not-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-graphical?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiability at a point: graphical | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/pwh1dK3vTkM/default.jpg URL=http://www.youtube.com/watch?v=pwh1dK3vTkM description=Sal gives a couple of examples where he finds the points on the graphs of a functions where the functions aren't differentiable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/e/differentiability-at-a-point-graphical?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-algebraic-is-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of derivative as limit of average rate of change thumb=https://i.ytimg.com/vi/4b8YnmUUIfI/default.jpg URL=http://www.youtube.com/watch?v=4b8YnmUUIfI description=Example of derivative as limit of average rate of change/description type=video name=Secant line with arbitrary point (with simplification) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/T3nVKbxEQdo/default.jpg URL=http://www.youtube.com/watch?v=T3nVKbxEQdo description=Sal finds and simplifies the expression for the slope of the secant line between x=3 and x=t on the graph of y=2x_+5x. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/e/slope-of-secant-lines-with-simplification?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-defining-derivative/v/calculus-derivatives-1-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/v/simplified-secant-line-arbitrary-difference?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Secant line with arbitrary difference (with simplification) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/l1xdKkIGxOc/default.jpg URL=http://www.youtube.com/watch?v=l1xdKkIGxOc description=Sal finds and simplifies the expression for the slope of the secant line between x=4 and x=4+h on the graph of y=2x_+1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/e/slope-of-secant-lines-with-simplification?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/v/simplified-secant-line-arbitrary-point?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/v/slope-of-a-secant-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The derivative & tangent line equations | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/fqQ6sslzyhY/default.jpg URL=http://www.youtube.com/watch?v=fqQ6sslzyhY description=The derivative of a function gives us the slope of the line tangent to the function at any point on the graph. This can be used to find the equation of that tangent line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/e/derivative-at-a-point-as-slope-of-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-linearity/v/local-linearization-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-differentiability/v/differentiability-at-a-point-algebraic-not-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Secant line with arbitrary difference | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/RaNeCD8t01I/default.jpg URL=http://www.youtube.com/watch?v=RaNeCD8t01I description=Sal finds the slope of the secant line on the graph of ln(x) between the points (2,ln2) and (2+h,ln(2+h)). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-secant-average-rate-of-change/v/slope-of-a-secant-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-estimate-derivatives/v/estimating-derivative-at-a-point?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative as slope of curve | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/S-dcMvJlMJs/default.jpg URL=http://www.youtube.com/watch?v=S-dcMvJlMJs description=Sal solves a couple of problems where he interprets the derivative of a function at a point as the slope of the curve, or of the line tangent to the curve, at that point. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intuition/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intuition/v/interpreting-slope-of-a-curve-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intuition/v/derivative-as-a-concept?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to chemistry | Atoms, compounds, and ions | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Rd4a1X3B61w/default.jpg URL=http://www.youtube.com/watch?v=Rd4a1X3B61w description=A big picture view of chemistry and why it is fascinating. How chemistry relates to math and other sciences. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-the-atom/v/introduction-to-chemistry?utm_source=youtube&utm_medium=desc&utm_campaign=chemistry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Addition of water (acid-catalyzed) mechanism | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/O_yeKo6-qIg/default.jpg URL=http://www.youtube.com/watch?v=O_yeKo6-qIg description=Addition of Water (Acid-Catalyzed) Mechanism. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/polymerization-of-alkenes-with-acid?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/markovnikov-s-rule-and-carbocations?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits at infinity of quotients with square roots (even power) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/uPksX_O9ARo/default.jpg URL=http://www.youtube.com/watch?v=uPksX_O9ARo description=Limit at infinity of rational expression with radical. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limit-at-infinity-involving-trig-defined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limits-with-two-horizontal-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing unbounded limits: mixed function | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/AI3aOkafYFw/default.jpg URL=http://www.youtube.com/watch?v=AI3aOkafYFw description=Sal analyzes the behavior of f(x)=x/[1-cos(x-2)] around its asymptote at x=2. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limits-at-positive-and-negative-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/unbounded-limits-algebraic-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing unbounded limits: rational function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/_ZGHGDKWpp8/default.jpg URL=http://www.youtube.com/watch?v=_ZGHGDKWpp8 description=Sal analyzes the behavior of f(x)=-1/(x-1)_ around its asymptote at x=1. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/unbounded-limits-algebraic-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/functions-with-same-limit-at-inifinity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of one sides unbounded limits thumb=https://i.ytimg.com/vi/TlWvQvMB9eI/default.jpg URL=http://www.youtube.com/watch?v=TlWvQvMB9eI description=Example of one sides unbounded limits/description type=video name=Intermediate value theorem example | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/TrQTK-B4bzM/default.jpg URL=http://www.youtube.com/watch?v=TrQTK-B4bzM description=Given that a continuous function f obtains f(-2)=3 and f(1)=6, Sal picks the statement that is guaranteed by the Intermediate value theorem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/e/intermediate-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/mean-value-theorem-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/conditions-for-ivt-and-evt-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inductor kickback 2 of 2 thumb=https://i.ytimg.com/vi/xOoMotHFOKk/default.jpg URL=http://www.youtube.com/watch?v=xOoMotHFOKk description=We give the inductor's kickback current a path to flow by adding a diode/description type=video name=Inductor kickback 1 of 2 thumb=https://i.ytimg.com/vi/YKKd5p4a5Lo/default.jpg URL=http://www.youtube.com/watch?v=YKKd5p4a5Lo description=We notice how important it is to give inductor current a place to flow./description type=video name=Inductor equations thumb=https://i.ytimg.com/vi/w1NR5sjsChI/default.jpg URL=http://www.youtube.com/watch?v=w1NR5sjsChI description=We look at the inductor i-v equations in derivative and integral form./description type=video name=Intermediate value theorem | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/9xgO-EJ3sr0/default.jpg URL=http://www.youtube.com/watch?v=9xgO-EJ3sr0 description=Introduction to the Intermediate value theorem. If f is a continuous function over [a,b], then it takes on every value between f(a) and f(b) over that interval. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/extreme-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/existence-theorems?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing functions for discontinuities (discontinuity example) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/LVqv8PBR1is/default.jpg URL=http://www.youtube.com/watch?v=LVqv8PBR1is description=Sal finds the limit of a piecewise function at the point between two different cases of the function. In this case, the two one-sided limits aren't equal, so the limit doesn't exist. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-discontinuities/v/defining-a-function-at-a-point-to-make-it-continuous?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-discontinuities/v/limit-of-piecewise-function-that-is-defined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing functions for discontinuities (continuous example) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/TdVDqWOR3dU/default.jpg URL=http://www.youtube.com/watch?v=TdVDqWOR3dU description=Sal finds the limit of a piecewise function at the point between two different cases of the function. In this case, the two one-sided limits are equal, so the limit exists. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-discontinuities/v/limit-of-piecewise-function-that-is-undefined?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-discontinuities/v/types-of-discontinuities?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Diode thumb=https://i.ytimg.com/vi/0FbeUMPZFjU/default.jpg URL=http://www.youtube.com/watch?v=0FbeUMPZFjU description=Introducing the diode as a circuit element. A diode conducts current in one direction but not the other./description type=video name=Brexit and European Union primer thumb=https://i.ytimg.com/vi/gbIgkcIfg0E/default.jpg URL=http://www.youtube.com/watch?v=gbIgkcIfg0E description=A primer on Brexit, the European Union and the Eurozone./description type=video name=History of the Republican Party | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/7T7PxQMLTt8/default.jpg URL=http://www.youtube.com/watch?v=7T7PxQMLTt8 description=A quick history of the GOP, from its origins before the Civil War through the elections of Lincoln, Eisenhower and Reagan. And where does that elephant symbol come from, anyway? View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/history-of-the-republican-party?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=United Kingdom vs Great Britain vs England primer thumb=https://i.ytimg.com/vi/ggggPEuFzOM/default.jpg URL=http://www.youtube.com/watch?v=ggggPEuFzOM description=A primer on the United Kingom vs Great Britain vs England./description type=video name=Trig limit using double angle identity | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/lXShNH1G6Pk/default.jpg URL=http://www.youtube.com/watch?v=lXShNH1G6Pk description=Sal finds the limit at _=-¹/4 of (1+Ã2sin_)/(cos2_) by rewriting the expression using the cosine double angle identity. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-trig-and-squeeze/v/squeeze-sandwich-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-trig-and-squeeze/v/trig-limit-using-pythagorean-identity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trig limit using pythagorean identity | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/d8qtbGMB2gI/default.jpg URL=http://www.youtube.com/watch?v=d8qtbGMB2gI description=Sal finds the limit at _=0 of (1-cos_)/(2sin__) by rewriting the expression using the Pythagorean identity. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-trig-and-squeeze/v/trig-limit-using-double-angle-identity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-trig-and-squeeze/v/limits-of-trigonometric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits by rationalizing | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/yVWxxQ7SMOw/default.jpg URL=http://www.youtube.com/watch?v=yVWxxQ7SMOw description=Sal finds the limits of (x+1)/(Ã(x+5)-2) by "rationalizing the denominator" of the expression. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-trig-and-squeeze/v/limits-of-trigonometric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-factor-and-ratio/v/limit-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Undefined limits by direct substitution | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/JlOyb_RTejo/default.jpg URL=http://www.youtube.com/watch?v=JlOyb_RTejo description=Sal gives an example of a limit where direct substitution ends in a quotient with 0 in the denominator and non-0 in the numerator. Such limits are undefined. What about limits where substitution ends in 0/0? Keep going and you'll see! Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-factor-and-ratio/v/limit-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-direct-sub/v/limit-by-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits by direct substitution | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/cfOcOgr0E7U/default.jpg URL=http://www.youtube.com/watch?v=cfOcOgr0E7U description=Sal explains how you can easily find limits of functions at points where the functions are continuous: simply plug in the x-value into the function! Later we will learn how to find limits even when the function isn't continuous. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-direct-sub/v/undefined-limit-by-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-basic-limit-rules/v/limits-of-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Functions continuous at specific x-values | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/X51CaI4tfQg/default.jpg URL=http://www.youtube.com/watch?v=X51CaI4tfQg description=Sal is asked which of the following two functions is continuous at x=3: ln(x-3) and/or e___. In general, the common functions are continuous on all the numbers in their domain. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-basic-limit-rules/v/limit-properties?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/functions-continuous-on-all-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Functions continuous on all real numbers | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/DCWeH62w-NA/default.jpg URL=http://www.youtube.com/watch?v=DCWeH62w-NA description=Sal is asked which of the following two functions is continuous on all real numbers: e_ and/or Ãx. In general, the common functions are continuous on all the numbers in their domain. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/functions-continuous-on-specific-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/continuity-over-an-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits of composite functions | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/RgfKNIkpFWc/default.jpg URL=http://www.youtube.com/watch?v=RgfKNIkpFWc description=Sal solves a few examples where the graphs of two functions are given and we're asked to find the limit of a function that is a composition of the two functions. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-direct-sub/v/limit-by-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-basic-limit-rules/v/limits-of-combined-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Continuity at a point | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/jzn4rTPajT0/default.jpg URL=http://www.youtube.com/watch?v=jzn4rTPajT0 description=Sal gives two examples where he analyzes the conditions for continuity at a point given a function's graph. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/continuity-over-an-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/continuity-at-a-point?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=One-sided limits from graphs: asymptote | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5f1-Rg3MmKs/default.jpg URL=http://www.youtube.com/watch?v=5f1-Rg3MmKs description=Sal analyzes the left-sided limit of a function given its graph. It turns out the function has an asymptote, so the limit doesn't exist. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/one-sided-limits-from-tables?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-one-sided-limits/v/one-sided-limits-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphical limit at asymptotic discontinuity thumb=https://i.ytimg.com/vi/olrXr3J5xq4/default.jpg URL=http://www.youtube.com/watch?v=olrXr3J5xq4 description=Graphical limit at asymptotic discontinuity/description type=video name=Graphical limit at point discontinuity thumb=https://i.ytimg.com/vi/hWJLd6bRthI/default.jpg URL=http://www.youtube.com/watch?v=hWJLd6bRthI description=Graphical limit at point discontinuity/description type=video name=Graphical limit where function undefined thumb=https://i.ytimg.com/vi/Y9sP4V3bKh0/default.jpg URL=http://www.youtube.com/watch?v=Y9sP4V3bKh0 description=Graphical limit where function undefined/description type=video name=Introduction to "Meet a chemistry professional" thumb=https://i.ytimg.com/vi/Y1O9UNJ8MIU/default.jpg URL=http://www.youtube.com/watch?v=Y1O9UNJ8MIU description=Learn how chemistry can be useful for careers such as engineering, science illustration, and forensics. You can read the stories at "Meet the chemistry professional": https://www.khanacademy.org/science/chemistry/meet-a-chemistry-professional Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Uncle Tom's Cabin part 3 thumb=https://i.ytimg.com/vi/MDFI8lWq33c/default.jpg URL=http://www.youtube.com/watch?v=MDFI8lWq33c description=Kim and Becca discuss the reception and far-reaching consequences of the novel Uncle Tom's Cabin./description type=video name=Uncle Tom's Cabin part 2 thumb=https://i.ytimg.com/vi/GiuuoYkQJXk/default.jpg URL=http://www.youtube.com/watch?v=GiuuoYkQJXk description=Kim and Becca discuss the plot and social implications of Uncle Tom's Cabin./description type=video name=Uncle Tom's Cabin part 1 thumb=https://i.ytimg.com/vi/Z08N7pqr_cw/default.jpg URL=http://www.youtube.com/watch?v=Z08N7pqr_cw description=KA's US History fellow Kim and US history intern Becca discuss the growing sectional conflict in the 1850s that surrounded the publication of Harriet Beecher Stowe's novel Uncle Tom's Cabin./description type=video name=Multiplying fractions by whole numbers word problem | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/6PMQdHCtUtA/default.jpg URL=http://www.youtube.com/watch?v=6PMQdHCtUtA description=Lindsay solves a word problem that involves multiplying a fraction by a whole number. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/k-8-grades/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-frac-word-problems/e/multiplying-fractions-and-whole-numbers-word-problems Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-frac-word-problems/v/multiplying-fractions-word-problem-2 Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-frac-word-problems/v/multiplying-fractions-word-problem-3 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Common fractions (halves) | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/gWz08PB7b6E/default.jpg URL=http://www.youtube.com/watch?v=gWz08PB7b6E description=Lindsay discovers why 0.5 is equal to 1/2. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/k-8-grades/cc-fourth-grade-math/cc-4th-decimals/cc-4th-common-fractions-decimals/e/common-fractions-and-decimals Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals/v/decimals-on-a-number-line Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rewriting fractions as decimals | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/4LvGU1a9Z5Q/default.jpg URL=http://www.youtube.com/watch?v=4LvGU1a9Z5Q description=Lindsay rewrites two fractions as decimals. The fractions have denominators of 10 and 100. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/k-8-grades/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimal-fractions/e/converting_fractions_to_decimals_0.5 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimal-fractions/v/fraction-decimal-intuition-examples Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying hundredths on a number line | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/bFjaZ_8pi3c/default.jpg URL=http://www.youtube.com/watch?v=bFjaZ_8pi3c description=Lindsay identifies decimals graphed on a number line. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/e/decimals_on_the_number_line_2 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line-2-examples Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing hundredths from 0 to 0.1 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/SrL8abwGKyA/default.jpg URL=http://www.youtube.com/watch?v=SrL8abwGKyA description=Lindsay graphs 0.04 on a number line. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/e/decimals-on-the-number-line--hundredths-0-1 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line-2-examples Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying tenths on a number line | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/qb0QSP7Sfz4/default.jpg URL=http://www.youtube.com/watch?v=qb0QSP7Sfz4 description=Lindsay identifies a point graphed on a number line. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/e/decimals_on_the_number_line_1 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line-2-examples Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing tenths from 0 to 1 | Math | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/7oUBK0cNxV8/default.jpg URL=http://www.youtube.com/watch?v=7oUBK0cNxV8 description=Lindsay graphs 0.6 on a number line. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/k-8-grades/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/e/decimals-on-the-number-line-1 Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line-2-examples Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line 4th grade math on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) Want a virtual coach for 4th grade? Unlock the 4th grade mission on Khan Academy here: https://www.khanacademy.org/mission/cc-fourth-grade-math?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Labeling voltages thumb=https://i.ytimg.com/vi/ZjPs0V6tiR0/default.jpg URL=http://www.youtube.com/watch?v=ZjPs0V6tiR0 description=Labeling voltages on a schematic is not a matter of "right" and "wrong". It simply establishes how the voltage appears in the analysis equations./description type=video name=Multiplying monomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/iHnzLETGz2I/default.jpg URL=http://www.youtube.com/watch?v=iHnzLETGz2I description=Learn how to multiply monomials like 5x² * 4x⁶ or 4p³ * p. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/e/finding-the-product-of-two-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-monomials/v/multiplying-and-dividing-monomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra-home/algebra/introduction-to-polynomial-expressions/add-subtract-poly-two-var/v/addition-and-subtraction-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relation of null space to linear independence of columns thumb=https://i.ytimg.com/vi/-fKh6SNEPr4/default.jpg URL=http://www.youtube.com/watch?v=-fKh6SNEPr4 description=Showing that a vector whose null space consists of only the zero vector as linearly independent column vectors./description type=video name=Help Khan Academy create lessons on US Government! thumb=https://i.ytimg.com/vi/EhiOjcRzKlg/default.jpg URL=http://www.youtube.com/watch?v=EhiOjcRzKlg description=http://igg.me/at/khancampaign This Fourth of July, Khan Academy is asking for your help funding engaging lessons on the intricacies of US government and politics. Ever since our founding in 2008, Khan Academy has helped millions of learners master difficult concepts in math, science and economics, and now we want to bring that same approach to this critical subject. These lessons, like everything Khan Academy creates, will be free for everyone, but we need your help to fund their creation./description type=video name=RC natural response derivation (2 of 3) thumb=https://i.ytimg.com/vi/4qgLz0TF8-M/default.jpg URL=http://www.youtube.com/watch?v=4qgLz0TF8-M description=We derive the natural response of an RC circuit and discover it looks like an exponential curve./description type=video name=RC step response 2 of 3 solve thumb=https://i.ytimg.com/vi/A_1N561qdSw/default.jpg URL=http://www.youtube.com/watch?v=A_1N561qdSw description=We find the RC step response using the method of Natural + Forced response = Total response./description type=video name=RC step response 3 of 3 example thumb=https://i.ytimg.com/vi/A4aoLMC1-5Y/default.jpg URL=http://www.youtube.com/watch?v=A4aoLMC1-5Y description=An example solution of an RC step response, with real component values./description type=video name=RC step response 1 of 3 setup thumb=https://i.ytimg.com/vi/k6KH4WmcgaU/default.jpg URL=http://www.youtube.com/watch?v=k6KH4WmcgaU description=The RC step response is an exponential curve. We set up the circuit and create the differential equation we need to solve. We introduce the technique of Natural response + Forced response./description type=video name=Light dependent reactions actors thumb=https://i.ytimg.com/vi/KzpRivhr6HI/default.jpg URL=http://www.youtube.com/watch?v=KzpRivhr6HI description=More detailed description of the various molecular actors in the light dependent reactions./description type=video name=Conceptual overview of light dependent reactions thumb=https://i.ytimg.com/vi/vEsAtC9d_MQ/default.jpg URL=http://www.youtube.com/watch?v=vEsAtC9d_MQ description=Seeing how light energy can excite electrons which can be used to create ATP and NADPH (with oxygen as a byproduct)./description type=video name=Breaking down photosynthesis stages thumb=https://i.ytimg.com/vi/Wt5EMpUt-_g/default.jpg URL=http://www.youtube.com/watch?v=Wt5EMpUt-_g description=Breaking down photosynthesis into light dependent reactions and Calvin cycle./description type=video name=Big takeaways from the Civil War thumb=https://i.ytimg.com/vi/8YAJbAcRnsk/default.jpg URL=http://www.youtube.com/watch?v=8YAJbAcRnsk description=KA's US history fellow Kim discusses the importance of the Civil War and its effects on American society./description type=video name=Later stages of the Civil War part 3 thumb=https://i.ytimg.com/vi/6nTCnN-OzI4/default.jpg URL=http://www.youtube.com/watch?v=6nTCnN-OzI4 description=KA's US history fellow Kim discusses the end of the Civil War, including Lee's surrender at Appomattox and the assassination of Abraham Lincoln./description type=video name=Later stages of the Civil War part 2 thumb=https://i.ytimg.com/vi/r8YAnRo7VDo/default.jpg URL=http://www.youtube.com/watch?v=r8YAnRo7VDo description=KA's US history fellow Kim discusses the year 1864 of the Civil War, including Sherman's March to the Sea and the election of 1864./description type=video name=Later stages of the Civil War part 1 thumb=https://i.ytimg.com/vi/ZE_M0_k4mG4/default.jpg URL=http://www.youtube.com/watch?v=ZE_M0_k4mG4 description=KA's US history fellow Kim discusses the later stages of the American Civil War, focusing on the end of the year 1863./description type=video name=The Gettysburg Address part 2 thumb=https://i.ytimg.com/vi/aXm8y90pQ8Q/default.jpg URL=http://www.youtube.com/watch?v=aXm8y90pQ8Q description=KA's US history fellow Kim Kutz Elliott does a close reading of the Gettysburg Address./description type=video name=Conjugate acid-base pairs | Chemical reactions | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/4441EyWBPt8/default.jpg URL=http://www.youtube.com/watch?v=4441EyWBPt8 description=In the Brønsted-Lowry definition of acids and bases, a conjugate acid-base pair consists of two substances that differ only by the presence of a proton (H⁺). A conjugate acid is formed when a proton is added to a base, and a conjugate base is formed when a proton is removed from an acid. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:introduction-to-acid-base-reactions/v/conjugate-acid-base-pairs-acids-and-bases-chemistry-khan-academy Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Photorespiration thumb=https://i.ytimg.com/vi/DnNqe8o0ehc/default.jpg URL=http://www.youtube.com/watch?v=DnNqe8o0ehc description=How the quirks of rubisco lead to photorespiration./description type=video name=The Gettysburg Address - part 1 thumb=https://i.ytimg.com/vi/To7qmiTRZQ8/default.jpg URL=http://www.youtube.com/watch?v=To7qmiTRZQ8 description=KA's US history fellow Kim Kutz Elliott gives the context for the Gettysburg Address, delivered by Abraham Lincoln on November 19, 1863./description type=video name=Lac operon thumb=https://i.ytimg.com/vi/LuOaEe89_HE/default.jpg URL=http://www.youtube.com/watch?v=LuOaEe89_HE description=Overview of gene regulation in the Lac operon. Discussion of CAP, cAMP, lac repressor and allolactose in regulation of lac operon./description type=video name=Gettysburg thumb=https://i.ytimg.com/vi/DtZOaOHROvg/default.jpg URL=http://www.youtube.com/watch?v=DtZOaOHROvg description=KA's US history fellow Kim discusses the battle of Gettysburg./description type=video name=Antietam part 2 thumb=https://i.ytimg.com/vi/k4uSZ6sonCU/default.jpg URL=http://www.youtube.com/watch?v=k4uSZ6sonCU description=KA's US history fellow Kim discusses the international effects of the battle of Antietam./description type=video name=Trp operon thumb=https://i.ytimg.com/vi/EvLy_1_Y3tk/default.jpg URL=http://www.youtube.com/watch?v=EvLy_1_Y3tk description=The trp operon is a well-studied operon when it comes to gene regulation. It is involved in the biosynthesis of the amino acid tryptophan./description type=video name=Second partial derivative test thumb=https://i.ytimg.com/vi/m1FhUjMMv30/default.jpg URL=http://www.youtube.com/watch?v=m1FhUjMMv30 description=How to determine if the critical point of a two-variable function is a local minimum, a local maximum, or a saddle point./description type=video name=Second partial derivative test example, part 2 thumb=https://i.ytimg.com/vi/TqslX-bUTD8/default.jpg URL=http://www.youtube.com/watch?v=TqslX-bUTD8 description=Continuing the worked example from the previous video, now classifying each critical point./description type=video name=Second partial derivative test example, part 1 thumb=https://i.ytimg.com/vi/shWXeUn5BHk/default.jpg URL=http://www.youtube.com/watch?v=shWXeUn5BHk description=A worked example of finding a classifying critical points of a two-variable function./description type=video name=Second partial derivative test intuition thumb=https://i.ytimg.com/vi/sJo7D74PAak/default.jpg URL=http://www.youtube.com/watch?v=sJo7D74PAak description=The second partial derivative test is based on a formula which seems to come out of nowhere. Here, you can see a little more intuition for why it looks the way it does./description type=video name=Warm up to the second partial derivative test thumb=https://i.ytimg.com/vi/nRJM4mY-Pq0/default.jpg URL=http://www.youtube.com/watch?v=nRJM4mY-Pq0 description=An example of looking for local minima in a multivariable function by finding where tangent planes are flat, along with some of the intuitions that will underly the second partial derivative test./description type=video name=Saddle points thumb=https://i.ytimg.com/vi/8aAU4r_pUUU/default.jpg URL=http://www.youtube.com/watch?v=8aAU4r_pUUU description=Just because the tangent plane to a multivariable function is flat, it doesn't mean that point is a local minimum or a local maximum. There is a third possibility, new to multivariable calculus, called a "saddle point"./description type=video name=Multivariable maxima and minima thumb=https://i.ytimg.com/vi/ux7EQ3ip2DU/default.jpg URL=http://www.youtube.com/watch?v=ux7EQ3ip2DU description=A description of maxima and minima of multivariable functions, what they look like, and a little bit about how to find them./description type=video name=Khan Academy Talent Search 2016 thumb=https://i.ytimg.com/vi/0qjbgGQy8uM/default.jpg URL=http://www.youtube.com/watch?v=0qjbgGQy8uM description=Learn more and submit your videos: http://khanacademy.org/talentsearch Khan Academy and YouTube are looking for brilliant explainers whose videos help students succeed in school and find joy in learning. We’re looking for submissions in a variety of subjects. If you have a passion for teaching and a knack for making challenging concepts seem simple, send us one of your videos! The top ten finalists will receive cash prizes—$3,000 for the grand prize winner and $300 each for nine finalists. All finalists will be considered for video creation contracts with Khan Academy. Check out our list of subjects and send us your video today! http://khanacademy.org/talentsearch/description type=video name=Commodity money vs. Fiat money | Financial sector | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/fs12fX407GU/default.jpg URL=http://www.youtube.com/watch?v=fs12fX407GU description=A brief look at how money has evolved over time from being printed on valuable substances (commodity money), to merely representing those valuable substances (commodity-backed money), to not representing anything at all (fiat money). Created by Grant Sanderson. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/definition-measurement-and-functions-of-money-ap/v/commodity-money-vs-fiat-money?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Standard of deferred payment and legal tender thumb=https://i.ytimg.com/vi/cIvcxHVUUi8/default.jpg URL=http://www.youtube.com/watch?v=cIvcxHVUUi8 description=A fourth function of money is that anytime you take on a debt, when the time comes to repay it, you can use money. This is highly related to the idea of "legal tender", which you can also learn about in this video./description type=video name=When the functions of money break down: Hyperinflation | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/O2jO5AwTkT0/default.jpg URL=http://www.youtube.com/watch?v=O2jO5AwTkT0 description=To illustrate what the functions of money are, it can help to look at circumstances where those functions break down. Hyperinflation, in which prices of things increase really really fast, is one such example. Created by Grant Sanderson. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/definition-measurement-and-functions-of-money-ap/v/when-the-functions-of-money-break-down-hyperinflation?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Functions of money | Financial sector | AP Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ok2vtKnSZzY/default.jpg URL=http://www.youtube.com/watch?v=ok2vtKnSZzY description=What does money actually do? Economists usually subdivide its functions into three categories: A medium of exchange, a store of value, and a unit of value. Created by Grant Sanderson. View more lessons or practice this subject at http://www.khanacademy.org/economics-finance-domain/ap-macroeconomics/ap-financial-sector/definition-measurement-and-functions-of-money-ap/v/functions-of-money?utm_source=youtube&utm_medium=desc&utm_campaign=apmacroeconomics AP Macroeconomics on Khan Academy: Welcome to Economics! In this lesson we'll define Economic and introduce some of the fundamental tools and perspectives economists use to understand the world around us! Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Operons and gene regulation in bacteria thumb=https://i.ytimg.com/vi/N7_K0yl0Egk/default.jpg URL=http://www.youtube.com/watch?v=N7_K0yl0Egk description=Looking at how regulatory DNA sequences can repress or promote gene transcription (particularly in bacteria operons)./description type=video name=Time differences | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/qSE1Z5F_vrU/default.jpg URL=http://www.youtube.com/watch?v=qSE1Z5F_vrU description=Lindsay finds the difference between the times shown on two different analog clocks. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/e/time-differences Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/v/telling-time-problems-with-number-line Missed the previous lesson? Watch here: https://www.khanacademy.org/math/arithmetic/telling-time-topic/telling-time/v/telling-time-exercise-example-1 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Telling time to the nearest minute: unlabeled clock | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/UowW7ua4TK8/default.jpg URL=http://www.youtube.com/watch?v=UowW7ua4TK8 description=Lindsay reads the time on unlabeled analog clocks to the nearest minute. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/e/telling-time-to-the-nearest-minute Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/v/telling-time-problems-with-number-line Missed the previous lesson? Watch here: https://www.khanacademy.org/math/arithmetic/telling-time-topic/telling-time/v/telling-time-exercise-example-1 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Telling time to the nearest minute: labeled clock | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/Ll3QzXftlS0/default.jpg URL=http://www.youtube.com/watch?v=Ll3QzXftlS0 description=Lindsay reads the time on labeled analog clocks to the nearest minute. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/e/telling-time-to-the-nearest-minute Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/v/telling-time-problems-with-number-line Missed the previous lesson? Watch here: https://www.khanacademy.org/math/arithmetic/telling-time-topic/telling-time/v/telling-time-exercise-example-1 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=RC natural response intuition (1 of 3) thumb=https://i.ytimg.com/vi/PZM6acXvsoQ/default.jpg URL=http://www.youtube.com/watch?v=PZM6acXvsoQ description=We put some charge on a capacitor in an RC circuit and observe what happens to it. The behavior of the current and voltage is called the natural response./description type=video name=RC step response - intuition thumb=https://i.ytimg.com/vi/zfqJRZyeGRE/default.jpg URL=http://www.youtube.com/watch?v=zfqJRZyeGRE description=An RC circuit responds to a step of voltage with a smooth transition between the starting and ending voltage/description type=video name=A capacitor integrates current thumb=https://i.ytimg.com/vi/JxOMm24lSR4/default.jpg URL=http://www.youtube.com/watch?v=JxOMm24lSR4 description=A current flowing into a capacitor causes charge to accumulate. The voltage rises according to q = Cv and we say the capacitor integrates current./description type=video name=Capacitor i-v equations thumb=https://i.ytimg.com/vi/EqlsSqET1kk/default.jpg URL=http://www.youtube.com/watch?v=EqlsSqET1kk description=The capacitor i-v equation in derivative and integral form./description type=video name=Conventional current thumb=https://i.ytimg.com/vi/17EhKw2tsu4/default.jpg URL=http://www.youtube.com/watch?v=17EhKw2tsu4 description=By convention, we define positive current to flow in the direction a positive charge would move. Electrons (with their negative charge) move in the opposite direction of the positive current arrow./description type=video name=What do quadratic approximations look like thumb=https://i.ytimg.com/vi/80bJA_tSbo4/default.jpg URL=http://www.youtube.com/watch?v=80bJA_tSbo4 description=After learning about local linearizations of multivariable functions, the next step is to understand how to approximate a function even more closely with a quadratic approximation./description type=video name=Quadratic approximation formula, part 1 thumb=https://i.ytimg.com/vi/UV5yj5A3QIM/default.jpg URL=http://www.youtube.com/watch?v=UV5yj5A3QIM description=How to creat a quadratic function that approximates an arbitrary two-variable function./description type=video name=Quadratic approximation formula, part 2 thumb=https://i.ytimg.com/vi/szHMvVXxp-g/default.jpg URL=http://www.youtube.com/watch?v=szHMvVXxp-g description=A continuation from the previous video, leading to the full formula for the quadratic approximation of a two-variable function./description type=video name=Expressing a quadratic form with a matrix thumb=https://i.ytimg.com/vi/0yEiCV-xEWQ/default.jpg URL=http://www.youtube.com/watch?v=0yEiCV-xEWQ description=How to write an expression like ax^2 + bxy + cy^2 using matrices and vectors./description type=video name=Vector form of multivariable quadratic approximation thumb=https://i.ytimg.com/vi/ClFrIg0PpnM/default.jpg URL=http://www.youtube.com/watch?v=ClFrIg0PpnM description=This is the more general form of a quadratic approximation for a scalar-valued multivariable function. It is analogous to a quadratic Taylor polynomial in the single-variable world./description type=video name=The Hessian matrix | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/LbBcuZukCAw/default.jpg URL=http://www.youtube.com/watch?v=LbBcuZukCAw description=The Hessian matrix is a way of organizing all the second partial derivative information of a multivariable function./description type=video name=Quadratic approximation example thumb=https://i.ytimg.com/vi/fW3snxnCPEY/default.jpg URL=http://www.youtube.com/watch?v=fW3snxnCPEY description=A worked example for finding the quadratic approximation of a two-variable function./description type=video name=Local linearization thumb=https://i.ytimg.com/vi/o7_zS7Bx2VA/default.jpg URL=http://www.youtube.com/watch?v=o7_zS7Bx2VA description=A "local linearization" is the generalization of tangent plane functions; one that can apply to multivariable functions with any number of inputs./description type=video name=What is a tangent plane thumb=https://i.ytimg.com/vi/cHNT7_F8m1Y/default.jpg URL=http://www.youtube.com/watch?v=cHNT7_F8m1Y description=The "tangent plane" of the graph of a function is, well, a two-dimensional plane that is tangent to this graph. Here you can see what that looks like./description type=video name=Controlling a plane in space thumb=https://i.ytimg.com/vi/H2hOwKszKRo/default.jpg URL=http://www.youtube.com/watch?v=H2hOwKszKRo description=How can you describe a specified plane in space as the graph of a function?/description type=video name=Computing a tangent plane thumb=https://i.ytimg.com/vi/QL6qb1h65hg/default.jpg URL=http://www.youtube.com/watch?v=QL6qb1h65hg description=Here you can see how to use the control over functions whose graphs are planes, as introduced in the last video, to find the tangent plane to a function graph./description type=video name=Circuit Terminology thumb=https://i.ytimg.com/vi/-82UNytyrCQ/default.jpg URL=http://www.youtube.com/watch?v=-82UNytyrCQ description=Definition of circuit terms: element, component, node, branch, mesh, and loop/description type=video name=Apostrophes and plurals | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/xRGjQdHToNA/default.jpg URL=http://www.youtube.com/watch?v=xRGjQdHToNA description=There is *one* extremely rare case in which we use apostrophes to make things plural. David and Paige, KA's resident grammarians, discuss this unusual case. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/e/apostrophes-and-plurals Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/choosing-between-its-and-its-the-apostrophe-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/advanced-plural-possession-the-apostrophe-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=BONUS: History of the possessive apostrophe | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/BjIPqJ0paXI/default.jpg URL=http://www.youtube.com/watch?v=BjIPqJ0paXI description=David, Paige, and Jake cover the fascinating history of the possessive apostrophe. Stay tuned for this bonus video! Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/bonus-history-of-the-apostrophe Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Choosing between its and it’s | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/Yhaa214UKvA/default.jpg URL=http://www.youtube.com/watch?v=Yhaa214UKvA description=David and Paige explain the meaning of two English words that look and sound very similar but act very different: _its_ and _it's_. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/e/choosing-between-its-and-it-s Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/bonus-history-of-the-apostrophe-the-apostrophe-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/apostrophes-and-plurals-the-apostrophe-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=BONUS: History of the apostrophe | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/u-FSLjbuv_s/default.jpg URL=http://www.youtube.com/watch?v=u-FSLjbuv_s description=The apostrophe has a bizarre history, including being the name for something that's not really related to grammar at all. David, Paige, and special guest Jake explain. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/bonus-history-of-the-possessive-apostrophe Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/choosing-between-its-and-its Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the possessive | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/2M4EDrD3aBQ/default.jpg URL=http://www.youtube.com/watch?v=2M4EDrD3aBQ description=Apostrophes can help show when something belongs to someone. Paige and David explain how! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-apostrophe/e/introduction-to-the-possessive-case Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/possession-for-words-ending-in-s-the-apostrophe-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/introduction-to-contractions-the-apostrophe-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Possession for words ending in “s” | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/_GiPxFvUUxs/default.jpg URL=http://www.youtube.com/watch?v=_GiPxFvUUxs description=Do words that end in "s" still need _'s_ to show possession? David and Paige explain! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-apostrophe/e/introduction-to-the-possessive-case Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/advanced-plural-possession-the-apostrophe-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/introduction-to-the-possessive-the-apostrophe-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Advanced (plural) possession | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/2M9cVwj3AtI/default.jpg URL=http://www.youtube.com/watch?v=2M9cVwj3AtI description=Paige and David talk about using apostrophes to show that something belongs to multiple people. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/e/advanved--plural--possesion Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/apostrophes-and-plurals-the-apostrophe-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/possession-for-words-ending-in-s-the-apostrophe-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the apostrophe | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/o6zzLAhEyqo/default.jpg URL=http://www.youtube.com/watch?v=o6zzLAhEyqo description=David and Paige, KA’s resident grammarians, introduce a new piece of punctuation: the apostrophe! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-comma/e/introduction-to-the-apostrophe Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/introduction-to-contractions-the-apostrophe-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to contractions | The Apostrophe | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/q5sG_CkkAs8/default.jpg URL=http://www.youtube.com/watch?v=q5sG_CkkAs8 description=Apostrophes are great at standing in for missing letters, allowing us to shorten words. Paige and David discuss contractions and the Principle of Least Effort. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-apostrophe/e/introduction-to-contractions Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/introduction-to-the-possessive-the-apostrophe-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-apostrophe/v/introduction-to-the-apostrophe-the-apostrophe-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding missing side when given area | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/_JdgDBzQ0Us/default.jpg URL=http://www.youtube.com/watch?v=_JdgDBzQ0Us description=Lindsay finds the missing side length on a rectangle when given the area of the rectangle. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-multiply-to-find-area/e/find-a-missing-side-length-when-given-area-of-a-rectangle Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-multiply-to-find-area/v/comparing-areas-of-plots-of-land Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating rectangles with a given area 2 | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/cYyfwJSvT-k/default.jpg URL=http://www.youtube.com/watch?v=cYyfwJSvT-k description=Lindsay creates a rectangle that has the same area (but different side lengths) than a given rectangle. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-unit-squares-area/e/find-area-of-rectangles-by-counting-unit-squares Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-area-formula-intuition/v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-unit-squares-area/v/measuring-the-same-rectangle-with-different-unit-squares 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating rectangles with a given area 1 | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/JX_ZgrFf2j8/default.jpg URL=http://www.youtube.com/watch?v=JX_ZgrFf2j8 description=Lindsay creates a rectangle with a given area. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-unit-squares-area/e/find-area-of-rectangles-by-counting-unit-squares Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-area-formula-intuition/v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-unit-squares-area/v/measuring-the-same-rectangle-with-different-unit-squares 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying by tens word problem | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/aGdO1Y6ciwc/default.jpg URL=http://www.youtube.com/watch?v=aGdO1Y6ciwc description=Lindsay multiplies 90 times 5 to solve a word problem. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi-digit-multiplication/e/multiplication_1 Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/how-many-truffle-eating-guests-attended-a-party Missed the previous lesson? Watch here: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi-digit-multiplication/v/multiplying-by-multiples-of-10 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting picture graphs (paint) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/nH6dfMMlcfI/default.jpg URL=http://www.youtube.com/watch?v=nH6dfMMlcfI description=Lindsay solves a multi-step word problem involving a picture graph. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/in-sixth-grade-math/data-handling/interpretation-pictograph/e/reading_pictographs_2 Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-line-plots/v/marking-data-on-line-plots Missed the previous lesson? Watch here: https://www.khanacademy.org/math/in-sixth-grade-math/data-handling/interpretation-pictograph/v/solving-problems-with-pictographs-2 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting picture graphs (notebook) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/st-rVFChzHA/default.jpg URL=http://www.youtube.com/watch?v=st-rVFChzHA description=Lindsay solves a multi-step word problem involving a picture graph. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/in-sixth-grade-math/data-handling/interpretation-pictograph/e/reading_pictographs_2 Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-line-plots/v/marking-data-on-line-plots Missed the previous lesson? Watch here: https://www.khanacademy.org/math/in-sixth-grade-math/data-handling/interpretation-pictograph/v/solving-problems-with-pictographs-2 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting bar graphs (colors) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/uftnBXB98l8/default.jpg URL=http://www.youtube.com/watch?v=uftnBXB98l8 description=Lindsay solves a multi-step word problem using a bar graph. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading-data/e/reading_bar_charts_2 Watch the next lesson: https://www.khanacademy.org/math/in-sixth-grade-math/data-handling/bar-graph/v/creating-picture-and-bar-graphs-2-exercise-examples Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading-data/v/reading-bar-charts-1 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting bar graphs (alligators) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/T57pEhuo3Us/default.jpg URL=http://www.youtube.com/watch?v=T57pEhuo3Us description=Lindsay solves a multi-step word problem using a bar graph. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading-data/e/reading_bar_charts_2 Watch the next lesson: https://www.khanacademy.org/math/in-sixth-grade-math/data-handling/bar-graph/v/creating-picture-and-bar-graphs-2-exercise-examples Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading-data/v/reading-bar-charts-1 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Time word problem (puzzle) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/gZzsYhyjIXA/default.jpg URL=http://www.youtube.com/watch?v=gZzsYhyjIXA description=Lindsay finds out how long it took to solve a puzzle when given the start and finish time. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/e/telling-time-word-problems Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-time/v/time-to-leave-for-home Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/v/telling-time-problems-with-number-line 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying unit fractions word problem | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/KGSwhRXMa3M/default.jpg URL=http://www.youtube.com/watch?v=KGSwhRXMa3M description=Lindsay solves a word problem by using a unit fraction. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/fractions-introduction/e/cutting-shapes-into-equal-parts Watch the next lesson: https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/fractions-introduction/v/more-than-one-equal-section Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-intro/v/cutting-shapes-into-equal-parts 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions with same numerator | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/2BxsmPo-zXI/default.jpg URL=http://www.youtube.com/watch?v=2BxsmPo-zXI description=Lindsay compares fractions with the same numerator. She compares one pair of fractions with visuals and another pair without visuals. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/in-fifth-grade-math/parts-wholes/fraction-comparisons-equivalent-fractions/e/comparing_fractions_with_the_same_numerator Watch the next lesson: https://www.khanacademy.org/math/in-fifth-grade-math/parts-wholes/fraction-comparisons-equivalent-fractions/v/comparing-fractions-of-different-wholes Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions/v/comparing-fractions-visually-and-on-number-line 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions with the same denominator | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/_Esc4JPE_FY/default.jpg URL=http://www.youtube.com/watch?v=_Esc4JPE_FY description=Lindsay compares fractions with the same denominator. She compares one pair of fractions with visuals and another pair without visuals. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/in-fifth-grade-math/parts-wholes/fraction-comparisons-equivalent-fractions/e/comparing_fractions_with_the_same_denominator Watch the next lesson: https://www.khanacademy.org/math/in-fifth-grade-math/parts-wholes/fraction-comparisons-equivalent-fractions/v/comparing-fractions-of-different-wholes Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions/v/comparing-fractions-visually-and-on-number-line 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing fractions greater than 1 | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/eBzQdDgBB_8/default.jpg URL=http://www.youtube.com/watch?v=eBzQdDgBB_8 description=Lindsay uses fraction models to identify a fraction greater than 1. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/e/recognizing_fractions_0.5 Watch the next lesson: https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/fraction-number-line/v/fractions-on-a-number-line Missed the previous lesson? Watch here: https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/fractions-introduction/v/more-than-one-equal-section 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perimeter word problem (skating rink) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/dNBNepJ_Ut8/default.jpg URL=http://www.youtube.com/watch?v=dNBNepJ_Ut8 description=Lindsay finds the area of an irregular shape by decomposing it into 2 rectangles. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter-word-problems/e/perimeter-word-problems Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-geometry/v/introduction-to-types-of-quadrilaterals Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-compare-area-perimeter/v/comparing-area-and-perimeter 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perimeter word problem (tables) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/Wz8grvnFDHM/default.jpg URL=http://www.youtube.com/watch?v=Wz8grvnFDHM description=Lindsay solves a perimeter word problem that involves combining two perimeters. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter-word-problems/e/perimeter-word-problems Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-geometry/v/introduction-to-types-of-quadrilaterals Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-compare-area-perimeter/v/comparing-area-and-perimeter 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding perimeter when a side length is missing | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/tmt5fXhU7Rs/default.jpg URL=http://www.youtube.com/watch?v=tmt5fXhU7Rs description=Lindsay finds the perimeter of a figure when a side length is not given. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter/e/find-a-missing-side-length-when-given-perimeter Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-compare-area-perimeter/v/comparing-area-and-perimeter Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter/v/perimeter-of-a-shape 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding missing side length when given perimeter | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/_sQ3dqhLsIw/default.jpg URL=http://www.youtube.com/watch?v=_sQ3dqhLsIw description=Lindsay finds missing side lengths on polygons when given all other side lengths and the perimeter. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter/e/find-a-missing-side-length-when-given-perimeter Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-compare-area-perimeter/v/comparing-area-and-perimeter Missed the previous lesson? Watch here: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-perimeter/v/perimeter-of-a-shape 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring area with partial unit squares | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/YA7ZrKcbteA/default.jpg URL=http://www.youtube.com/watch?v=YA7ZrKcbteA description=Lindsay finds the area of a shape by counting whole and partial unit squares. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/e/measuring-area-with-unit-squares Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/measuring-the-same-rectangle-with-different-unit-squares 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transitioning from counting to multiplying to find area | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/mu3HHCdYYtY/default.jpg URL=http://www.youtube.com/watch?v=mu3HHCdYYtY description=Lindsay finds the area of a rectangle both by counting unit squares and multiplying side lengths. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/basic-geo/basic-geo-area-perimeter/basic-geo-area-perimeter-polygon/e/finding-area-by-multiplying Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-decompose-to-find-area/v/calculating-the-square-footage-of-a-house Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decomposing shapes to find area (subtract) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/qS4stB9LfJA/default.jpg URL=http://www.youtube.com/watch?v=qS4stB9LfJA description=Lindsay finds the area of an irregular shape by decomposing it into 2 rectangles and subtracting the area of the rectangles. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-decompose-to-find-area/e/decompose-shapes-to-find-area Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-decompose-to-find-area/v/calculating-the-square-footage-of-a-house Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/area-of-rectangles-and-the-distributive-property 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decomposing shapes to find area (add) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/JTg8gyQ37pM/default.jpg URL=http://www.youtube.com/watch?v=JTg8gyQ37pM description=Lindsay finds the area of an irregular shape by decomposing it into 3 rectangles and adding the area of the rectangles. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-decompose-to-find-area/e/decompose-figures-to-find-area Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-decompose-to-find-area/v/calculating-the-square-footage-of-a-house Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/area-of-rectangles-and-the-distributive-property 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decomposing shapes to find area (grids) | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/oL9iF9Se6lc/default.jpg URL=http://www.youtube.com/watch?v=oL9iF9Se6lc description=Lindsay finds the area of an irregular shape by decomposing it into 2 rectangles. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-decompose-to-find-area/e/decompose-figures-to-find-area-1 Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-decompose-to-find-area/v/calculating-the-square-footage-of-a-house Missed the previous lesson? Watch here: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/area-of-rectangles-and-the-distributive-property 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Harmonic Functions thumb=https://i.ytimg.com/vi/JQSC0lCPG24/default.jpg URL=http://www.youtube.com/watch?v=JQSC0lCPG24 description=If the Laplacian of a function is zero everywhere, it is called Harmonic. Harmonic functions arise all the time in physics, capturing a certain notion of "stability", whenever one point in space is influenced by its neighbors./description type=video name=Le Chatelier's principle: Worked example | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/5gujU2QcGcY/default.jpg URL=http://www.youtube.com/watch?v=5gujU2QcGcY description=A worked example using Le Chatelier's principle to predict how concentrations will shift for different perturbations. Example includes changes in reaction vessel volume, changing amount of solid product, adding inert gas, and adding a catalyst. Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cutting shapes into equal parts | Math | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/gEE6yIObbmg/default.jpg URL=http://www.youtube.com/watch?v=gEE6yIObbmg description=Lindsay figures out if 4 pieces of pie are each equal to 1/4 of the pie. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/fractions-introduction/e/that-s-not-fair- Watch the next lesson: https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/fractions-introduction/v/more-than-one-equal-section Missed the previous lesson? Watch here: https://www.khanacademy.org/math/in-sixth-grade-math/fractions-1/fractions-introduction/v/fraction-basic 3rd grade math on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! Want a virtual coach for 3rd grade? Unlock the 3rd grade mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mesh current method (step 4 solve) thumb=https://i.ytimg.com/vi/7I3-HAW8rmM/default.jpg URL=http://www.youtube.com/watch?v=7I3-HAW8rmM description=We solve a circuit by writing Kirchhoff's Voltage Law in terms of "mesh currents." Fourth step (solve)./description type=video name=Mesh current steps 1 to 3 thumb=https://i.ytimg.com/vi/j8LHrm3_brk/default.jpg URL=http://www.youtube.com/watch?v=j8LHrm3_brk description=We solve a circuit by writing Kirchhoff's Voltage Law in terms of "mesh currents." First three steps of four./description type=video name=Sketching exponentials - examples thumb=https://i.ytimg.com/vi/kxE7wipiMps/default.jpg URL=http://www.youtube.com/watch?v=kxE7wipiMps description=Sketch exponentials with different time constants./description type=video name=Sketching exponentials thumb=https://i.ytimg.com/vi/4XHMqvVByFQ/default.jpg URL=http://www.youtube.com/watch?v=4XHMqvVByFQ description=Voltages and currents often have an exponential shape. We look at some properties of exponential curves and learn how to rapidly sketch accurate waveforms./description type=video name=Jim Crow part 4 | The Gilded Age (1865-1898) | US History | Khan Academy thumb=https://i.ytimg.com/vi/eUJya1CJe8c/default.jpg URL=http://www.youtube.com/watch?v=eUJya1CJe8c description=KA's US history fellow Kim talks about the end of Reconstruction, when federal troops left the South after the Compromise of 1877. The Supreme Court ruled that segregation did not violate the Fourteenth Amendment in the Plessy v. Ferguson decision of 1896. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/rise-to-world-power/age-of-empire/v/the-age-of-empire?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Jim Crow part 3 | The Gilded Age (1865-1898) | US History | Khan Academy thumb=https://i.ytimg.com/vi/VhNouf_RdXs/default.jpg URL=http://www.youtube.com/watch?v=VhNouf_RdXs description=KA's US history fellow Kim talks about the trials of Reconstruction, when federal troops attempted to enforce the Fourteenth and Fifteenth Amendments in the South. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-pt-4?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Jim Crow part 2 | The Gilded Age (1865-1898) | US History | Khan Academy thumb=https://i.ytimg.com/vi/82Lhe3ipD90/default.jpg URL=http://www.youtube.com/watch?v=82Lhe3ipD90 description=KA's US history fellow Kim discusses the period after the Civil War in the American South, when Southern society reorganized to account for the end of slavery. Many Southern governments passed laws preventing African Americans from voting, among other things, which prompted Congress to pass the Fourteenth Amendment. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Jim Crow part 1 | The Gilded Age (1865-1898) | US History | Khan Academy thumb=https://i.ytimg.com/vi/bOVQYIGtqXk/default.jpg URL=http://www.youtube.com/watch?v=bOVQYIGtqXk description=KA's US history fellow Kim talks about the origin of Jim Crow segregation in the American South. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/darwinism-vs-social-darwinism-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Translation (mRNA to protein) | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/ocAAkB32Hqs/default.jpg URL=http://www.youtube.com/watch?v=ocAAkB32Hqs description=A deep dive into how mRNA is translated into proteins with the help of ribosomes and tRNA. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/differences-in-translation-between-prokaryotes-and-eukaryotes?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/speed-and-precision-of-dna-replication?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Commas in space and time | The Comma | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/7dYePWVTTTI/default.jpg URL=http://www.youtube.com/watch?v=7dYePWVTTTI description=Learn how to use commas when writing addresses (in space) and dates (in time). Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/e/salutations--valedictions--dates--and-addresses Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/commas-and-introductory-elements-the-comma-punctuation-khan-academy Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/salutations-and-valedictions-the-comma-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Meet the Comma | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/Wk0k2FLjM1c/default.jpg URL=http://www.youtube.com/watch?v=Wk0k2FLjM1c description=David and Paige introduce you to the superhero of the punctuation world: the comma! Practice this yourself on Khan Academy right now: . Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/e/meet-the-comma?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/salutations-and-valedictions-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/three-ways-to-end-a-sentence-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More uses for commas | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/09-t-giMcNk/default.jpg URL=http://www.youtube.com/watch?v=09-t-giMcNk description=David and Paige, KA’s resident grammarians, discuss tag questions, yes and no statements, and direct address -- all situations where the comma is super useful. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/commas-in-dialogue-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/punctuating-a-list-commas-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Three ways to end a sentence | Punctuation | Khan Academy thumb=https://i.ytimg.com/vi/B9bJaoIHRp4/default.jpg URL=http://www.youtube.com/watch?v=B9bJaoIHRp4 description=David and Paige, KA’s resident grammarians, introduce the three ways to end a sentence: the period, the exclamation point, and the question mark. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/the-comma/e/three-ways-to-end-a-sentence Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/meet-the-comma-the-comma-punctuation-khan-academy Punctuation on Khan Academy: Punctuation is the collection of squiggles, dots, and lines that we use to separate sentences and their parts. Is a question mark punctuation? Yes, and so is an exclamation point! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salutations and valedictions | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/W2tiu8_ReGM/default.jpg URL=http://www.youtube.com/watch?v=W2tiu8_ReGM description=David and Paige, KA’s resident grammarians, talk about how to address and sign off on letters using commas! Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/commas-in-space-and-time-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/meet-the-comma-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Commas in dialogue | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/uYoX_Qyknao/default.jpg URL=http://www.youtube.com/watch?v=uYoX_Qyknao description=“Today we’re going to talk about using commas in dialogue,” said David and Paige, KA’s resident grammarians. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/e/commas-in-dialogue?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/appositives-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/more-uses-for-commas-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Punctuating a list | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/DBMQOK64VQY/default.jpg URL=http://www.youtube.com/watch?v=DBMQOK64VQY description=Learn how to use commas to punctuate a written list of people, things, actions, or events. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/e/punctuating-lists?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/more-uses-for-commas-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/commas-and-introductory-elements-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Commas and introductory elements | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/NvGBug8iORE/default.jpg URL=http://www.youtube.com/watch?v=NvGBug8iORE description=In English, you use commas to separate introductory elements from the rest of a sentence. Find out how with David and Paige! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/e/commas-and-introductory-elements?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/punctuating-a-list-commas-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/commas-in-space-and-time-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Appositives | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/QFcaUTd8DgY/default.jpg URL=http://www.youtube.com/watch?v=QFcaUTd8DgY description=David and Paige, KA’s resident grammarians, cover appositives and how to use commas along with them. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/e/appositives?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/bonus-the-oxford-comma-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/commas-in-dialogue-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=BONUS: The Oxford comma | Punctuation | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/_i8TVzaMZ8Q/default.jpg URL=http://www.youtube.com/watch?v=_i8TVzaMZ8Q description=David and Paige tackle the great comma debate of our time: Oxford comma or no Oxford comma? Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/punctuation/the-comma/v/appositives-the-comma-punctuation-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Darwinism vs. Social Darwinism part 2 | US History | Khan Academy thumb=https://i.ytimg.com/vi/VqKIDyLhYJ4/default.jpg URL=http://www.youtube.com/watch?v=VqKIDyLhYJ4 description=KA fellows Kim (US history) and Emily (Biology) continue their discussion of the theory of evolution and how Gilded Age sociologists mistakenly applied it to race and class. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/darwinism-vs-social-darwinism-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Darwinism vs. Social Darwinism part 1 | US History | Khan Academy thumb=https://i.ytimg.com/vi/1RoJcfnZYCQ/default.jpg URL=http://www.youtube.com/watch?v=1RoJcfnZYCQ description=KA's US history Fellow Kim and Biology Fellow Emily discuss how evolution works and how sociologists in the Gilded Age misunderstood its application to human society. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/darwinism-vs-social-darwinism-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/the-gilded-age-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Application of the fundamental laws (solve) | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/ShxyPUl7asE/default.jpg URL=http://www.youtube.com/watch?v=ShxyPUl7asE description=We solve the equations created by direct application of the fundamental laws: Ohm's Law and Kirchhoff's Laws. (Part 2 of 2). Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-node-voltage-method-steps-1-to-4?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-application-of-the-fundamental-laws-setup?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transcription and mRNA processing | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/JQIwwJqF5D0/default.jpg URL=http://www.youtube.com/watch?v=JQIwwJqF5D0 description=Introduction to transcription including the role of RNA polymerase, promoters, terminators, introns and exons. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/speed-and-precision-of-dna-replication?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/leading-and-lagging-strands-in-dna-replication?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ideal sources | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/CBlfcuUXzUY/default.jpg URL=http://www.youtube.com/watch?v=CBlfcuUXzUY description=Introduction to the voltage source and current source. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/circuit-terminology?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/ideal-circuit-elements?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polymerase chain reaction (PCR) | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/nHi-3jP6Mvc/default.jpg URL=http://www.youtube.com/watch?v=nHi-3jP6Mvc description=Introduction to PCR (polymerase chain reaction). Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna-technology/v/dna-libraries-generating-cdna?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna-technology/v/gel-electrophoresis-dna?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=DNA cloning and recombinant DNA | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/5ffl-0OYVQU/default.jpg URL=http://www.youtube.com/watch?v=5ffl-0OYVQU description=Introduction to DNA cloning. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna-technology/v/hybridization-microarray?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna-technology/v/dna-libraries-generating-cdna?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Speed and precision of DNA replication | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/PSl6IXUCNuw/default.jpg URL=http://www.youtube.com/watch?v=PSl6IXUCNuw description=Sal reflects on the amazing speed and precision with which DNA replication takes place. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/translation-mrna-to-protein?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/transcription-and-mrna-processing?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gel electrophoresis | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/_EYsykjsfiY/default.jpg URL=http://www.youtube.com/watch?v=_EYsykjsfiY description=Introduction to gel electrophoresis. How it's used to separate DNA fragments or other macromoleculs. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna-technology/v/the-polymerase-chain-reaction-pcr?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/mendelian-genetics/v/applying-hardy-weinberg?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Leading and lagging strands in DNA replication | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/eM7arWJJ3zk/default.jpg URL=http://www.youtube.com/watch?v=eM7arWJJ3zk description=Roles of DNA polymerase, primase, ligase, helicase and topoisomerase in DNA replication. An explanation of leading and lagging strands. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/transcription-and-mrna-processing?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/telomeres-and-single-copy-dna-vs-repetitive-dna?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to reaction quotient Qc | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/2PM1yc_z4Bk/default.jpg URL=http://www.youtube.com/watch?v=2PM1yc_z4Bk description=Introduction to the reaction quotient Qc, and how to use the reaction quotient to predict how the reaction concentrations will change. Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplacian intuition thumb=https://i.ytimg.com/vi/EW08rD-GFh0/default.jpg URL=http://www.youtube.com/watch?v=EW08rD-GFh0 description=A visual understanding for how the Laplace operator is an extension of the second derivative to multivariable functions./description type=video name=Explicit Laplacian formula thumb=https://i.ytimg.com/vi/6cMn1F6bNPU/default.jpg URL=http://www.youtube.com/watch?v=6cMn1F6bNPU description=This is another way you might see the Laplace operator written./description type=video name=Laplacian computation example thumb=https://i.ytimg.com/vi/XbCvGRjjzgg/default.jpg URL=http://www.youtube.com/watch?v=XbCvGRjjzgg description=A worked example of computing the laplacian of a two-variable function./description type=video name=2d curl example thumb=https://i.ytimg.com/vi/cAAEMza4GvQ/default.jpg URL=http://www.youtube.com/watch?v=cAAEMza4GvQ description=A worked example of computing and interpreting two-dimensional curl./description type=video name=2d curl intuition thumb=https://i.ytimg.com/vi/eEwZeY51mT0/default.jpg URL=http://www.youtube.com/watch?v=eEwZeY51mT0 description=A description of how vector fields relate to fluid rotation, laying the intuition for what the operation of curl represents./description type=video name=3d curl intuition, part 1 thumb=https://i.ytimg.com/vi/erMopRd-MXg/default.jpg URL=http://www.youtube.com/watch?v=erMopRd-MXg description=Here we start transitioning from the understanding of two-dimensional curl into an understanding of three-dimensional curl./description type=video name=2d curl formula thumb=https://i.ytimg.com/vi/qF9Kz37Ksq0/default.jpg URL=http://www.youtube.com/watch?v=qF9Kz37Ksq0 description=Here we build up to the formula for computing the two-dimensional curl of a vector field, reasoning through what partial derivative information corresponds to fluid rotation./description type=video name=3d curl formula, part 2 thumb=https://i.ytimg.com/vi/0k4tWeI3R0Y/default.jpg URL=http://www.youtube.com/watch?v=0k4tWeI3R0Y description=This finishes the demonstration of how to compute three-dimensional curl using a certain determinant./description type=video name=3d curl intuition, part 2 thumb=https://i.ytimg.com/vi/4yzV8m8X3Kk/default.jpg URL=http://www.youtube.com/watch?v=4yzV8m8X3Kk description=Continuing the intuition for how three-dimensional curl represents rotation in three-dimensional fluid flow./description type=video name=3d curl computation example thumb=https://i.ytimg.com/vi/GRuEOLcdWjo/default.jpg URL=http://www.youtube.com/watch?v=GRuEOLcdWjo description=A worked example of a three-dimensional curl computation./description type=video name=3d curl formula, part 1 thumb=https://i.ytimg.com/vi/a_49iMi10kg/default.jpg URL=http://www.youtube.com/watch?v=a_49iMi10kg description=How to compute a three-dimensional curl, imagined as a cross product of sorts./description type=video name=Describing rotation in 3d with a vector thumb=https://i.ytimg.com/vi/h5BmWo5_sc8/default.jpg URL=http://www.youtube.com/watch?v=h5BmWo5_sc8 description=Learn how a three-dimensional vector can be used to describe three-dimensional rotation. This is important for understanding three-dimensional curl./description type=video name=2d curl nuance thumb=https://i.ytimg.com/vi/szLkF7isbI0/default.jpg URL=http://www.youtube.com/watch?v=szLkF7isbI0 description=The meaning of positive curl in a fluid flow can sometimes look a bit different from the clear cut rotation-around-a-point examples discussed in previous videos./description type=video name=Bond enthalpy and enthalpy of reaction | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/xE1gdQZcR-o/default.jpg URL=http://www.youtube.com/watch?v=xE1gdQZcR-o description=Introduction to bond enthalpy, and how to use bond enthalpies to calculate enthalpy of reaction. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/2015-ap-chemistry-free-response-7?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/hess-s-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subordinating conjunctions | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/IKrRuDWEP68/default.jpg URL=http://www.youtube.com/watch?v=IKrRuDWEP68 description=Subordinating conjunctions join two parts of complex sentences––independent clauses to dependent clauses. David explains how. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/e/coordinating-and-subordinating-conjunctions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/v/correlative-conjunctions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/v/coordinating-conjunctions-final?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Correlative conjunctions | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/R74Ly00UygU/default.jpg URL=http://www.youtube.com/watch?v=R74Ly00UygU description=Correlative conjunctions work in pairs to connect parts of sentences. David teaches you how they do it! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/e/correlative-conjuntions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/v/beginning-sentences-with-conjunctions-the-conjunction-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/v/subordinating-conjunctions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Coordinating conjunctions | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/imwtcmvk668/default.jpg URL=http://www.youtube.com/watch?v=imwtcmvk668 description=Coordinating conjunctions connect parts of sentences to each other. David explains how. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/e/meet-the-conjunction?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/v/subordinating-conjunctions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/terminal-prepositions-prepositions-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Beginning sentences with conjunctions | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/r8KHIxscCkg/default.jpg URL=http://www.youtube.com/watch?v=r8KHIxscCkg description=Is it okay to begin a sentence with a conjunction like "but" or "because"? Yes. David explains why. Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/v/correlative-conjunctions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Node voltage method (step 5) | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/LMC3jcNomNc/default.jpg URL=http://www.youtube.com/watch?v=LMC3jcNomNc description=Last step of the Node voltage method for analyzing circuits: Solve the system of simultaneous equations. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics/ee-electric-force-and-electric-field/v/coulombs-law?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-node-voltage-method-steps-1-to-4?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence intuition, part 2 thumb=https://i.ytimg.com/vi/Yeie-aJT2eU/default.jpg URL=http://www.youtube.com/watch?v=Yeie-aJT2eU description=In preparation for finding the formula for divergence, we start getting an intuition for what points of positive, negative and zero divergence should look like./description type=video name=Divergence intuition, part 1 thumb=https://i.ytimg.com/vi/c0MR-vWiUPU/default.jpg URL=http://www.youtube.com/watch?v=c0MR-vWiUPU description=Vector fields can be thought of as representing fluid flow, and divergence is all about studying the change in fluid density during that flow./description type=video name=Divergence formula, part 1 thumb=https://i.ytimg.com/vi/uOX7SijjH9w/default.jpg URL=http://www.youtube.com/watch?v=uOX7SijjH9w description=How does the x-component of a vector field relate to the divergence?/description type=video name=Divergence example thumb=https://i.ytimg.com/vi/AlXVrAOls-8/default.jpg URL=http://www.youtube.com/watch?v=AlXVrAOls-8 description=An example of computing and interpreting the divergence of a two-dimensional vector field./description type=video name=Divergence formula, part 2 thumb=https://i.ytimg.com/vi/TKlpZ0UUJTQ/default.jpg URL=http://www.youtube.com/watch?v=TKlpZ0UUJTQ description=Here we finish the line of reasoning which leads to the formula for divergence in two dimensions./description type=video name=Divergence notation thumb=https://i.ytimg.com/vi/TyYlBXNETZE/default.jpg URL=http://www.youtube.com/watch?v=TyYlBXNETZE description=Learn how divergence is expressed using the same upsidedown triangle symbols that the gradient uses./description type=video name=Node voltage method (steps 1 to 4) | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/2lY757QaaKs/default.jpg URL=http://www.youtube.com/watch?v=2lY757QaaKs description=The Node Voltage Method solves circuits with the minimum number of KCL equations. Steps 1 to 4 out of 5. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-node-voltage-method-step-5?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-application-of-the-fundamental-laws-solve?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ionic bonds and Coulombs law thumb=https://i.ytimg.com/vi/TwqMtO2FLYk/default.jpg URL=http://www.youtube.com/watch?v=TwqMtO2FLYk description=Introduction to how the strength of ionic bonds is related to Coulomb's law. Example of using Coulomb's law to explain differences in melting points of ionic compounds./description type=video name=Calculating internal energy and work example | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/FTO0lS1Q9QI/default.jpg URL=http://www.youtube.com/watch?v=FTO0lS1Q9QI description=Worked example calculating the change in internal energy for a gas using the first law of thermodynamics. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/internal-energy-sal/v/specific-heat-and-latent-leat-of-fusion-and-vaporization-2?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/internal-energy-sal/v/more-on-internal-energy?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Computing the partial derivative of a vector-valued function thumb=https://i.ytimg.com/vi/ln43wOC3iC4/default.jpg URL=http://www.youtube.com/watch?v=ln43wOC3iC4 description=When a function has a multidimensional input, and a multidimensional output, you can take its partial derivative by computing the partial derivative of each component in the output./description type=video name=Partial derivative of a parametric surface, part 1 thumb=https://i.ytimg.com/vi/e7Nel0UoXR8/default.jpg URL=http://www.youtube.com/watch?v=e7Nel0UoXR8 description=When a vector-valued function represents a parametric surface, how do you interpret its partial derivative?/description type=video name=Partial derivative of a parametric surface, part 2 thumb=https://i.ytimg.com/vi/lz8L-0SoMo0/default.jpg URL=http://www.youtube.com/watch?v=lz8L-0SoMo0 description=Taking the same example surface used in the last example, we now take a look at the partial derivative in the other direction./description type=video name=Partial derivatives of vector fields, component by component thumb=https://i.ytimg.com/vi/VhtFSSq3lXo/default.jpg URL=http://www.youtube.com/watch?v=VhtFSSq3lXo description=Here we step through each partial derivative of each component in a vector field, and understand what each means geometrically./description type=video name=Partial derivatives of vector fields thumb=https://i.ytimg.com/vi/ar9SeJpbPI8/default.jpg URL=http://www.youtube.com/watch?v=ar9SeJpbPI8 description=How do you intepret the partial derivatives of the function which defines a vector field?/description type=video name=The Gilded Age part 2 | The Gilded Age (1865-1898) | US History | Khan Academy thumb=https://i.ytimg.com/vi/uXQqefD6sPA/default.jpg URL=http://www.youtube.com/watch?v=uXQqefD6sPA description=KA's US History fellow Kim Kutz and Grammar fellow David Rheinstrom discuss the technological innovations that made the Gilded Age possible. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/darwinism-vs-social-darwinism-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/the-gilded-age-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Gilded Age part 1 | The Gilded Age (1865-1898) | US History | Khan Academy thumb=https://i.ytimg.com/vi/dC7BtsV-ddc/default.jpg URL=http://www.youtube.com/watch?v=dC7BtsV-ddc description=KA's US History fellow Kim Kutz and Grammar fellow David Rheinstrom discuss the Gilded Age. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/the-gilded-age-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/emancipation-proclamation?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gradient thumb=https://i.ytimg.com/vi/tIpKfDc295M/default.jpg URL=http://www.youtube.com/watch?v=tIpKfDc295M description=The gradient captures all the partial derivative information of a scalar-valued multivariable function./description type=video name=Ideal circuit elements | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/l-h72j2-X0o/default.jpg URL=http://www.youtube.com/watch?v=l-h72j2-X0o description=Introduction to the most common circuit elements: resistor, capacitor, and inductor. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/ee-ideal-sources?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/introduction-to-ee/intro-to-ee/v/ee-voltage-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Application of the fundamental laws (setup) | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/1VaKLjvbWZ0/default.jpg URL=http://www.youtube.com/watch?v=1VaKLjvbWZ0 description=We can solve circuits by the direct application of the fundamental laws: Ohm's Law and Kirchhoff's Laws. (Part 1 of 2). Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-application-of-the-fundamental-laws-solve?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-kirchhoffs-voltage-law?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Curvature formula, part 1 thumb=https://i.ytimg.com/vi/gspjhwSNMWs/default.jpg URL=http://www.youtube.com/watch?v=gspjhwSNMWs description=Curvature is computed by first finding a unit tangent vector function, then finding its derivative with respect to arc length. Here we start thinking about what that means./description type=video name=Curvature formula, part 3 thumb=https://i.ytimg.com/vi/8V4_4M90RfA/default.jpg URL=http://www.youtube.com/watch?v=8V4_4M90RfA description=Here, this concludes the explanation for how curvature is the derivative of a unit tangent vector with respect to length./description type=video name=Curvature formula, part 5 thumb=https://i.ytimg.com/vi/8aHUrjgF6s0/default.jpg URL=http://www.youtube.com/watch?v=8aHUrjgF6s0 description=Here, we finish the intuition for how the curvature relates to the cross product between the first two derivatives of a parametric function./description type=video name=Curvature formula, part 2 thumb=https://i.ytimg.com/vi/Q-BxnC-uWQo/default.jpg URL=http://www.youtube.com/watch?v=Q-BxnC-uWQo description=A continuation in explaining how curvature is computed, with the formula for a circle as a guiding example./description type=video name=Curvature formula, part 4 thumb=https://i.ytimg.com/vi/WmdN_iPhxAI/default.jpg URL=http://www.youtube.com/watch?v=WmdN_iPhxAI description=After the last video made reference to an explicit curvature formula, here you can start to get an intuition for why that seemingly unrelated formula describes curvature./description type=video name=Curvature of a helix, part 1 thumb=https://i.ytimg.com/vi/AE8NVTyESd8/default.jpg URL=http://www.youtube.com/watch?v=AE8NVTyESd8 description=An example of computing curvature by finding the unit tangent vector function, then computing its derivative with respect to arc length./description type=video name=Curvature of a cycloid thumb=https://i.ytimg.com/vi/biK6_fWLDRc/default.jpg URL=http://www.youtube.com/watch?v=biK6_fWLDRc description=An example of computing curvature with the explicit formula./description type=video name=Curvature intuition thumb=https://i.ytimg.com/vi/ugtUGhBSeE0/default.jpg URL=http://www.youtube.com/watch?v=ugtUGhBSeE0 description=An introduction to curvature, the radius of curvature, and how you can think about each one geometrically./description type=video name=More formal treatment of multivariable chain rule thumb=https://i.ytimg.com/vi/5mMLaK1ByZc/default.jpg URL=http://www.youtube.com/watch?v=5mMLaK1ByZc description=For those of you who want to see how the multivariable chain rule looks in the context of the limit definitions of various forms of the derivative./description type=video name=Curvature of a helix, part 2 thumb=https://i.ytimg.com/vi/kjNgXVZ1aZ4/default.jpg URL=http://www.youtube.com/watch?v=kjNgXVZ1aZ4 description=This finishes up the helix-curvature example started in the last video./description type=video name=Multivariable chain rule and directional derivatives thumb=https://i.ytimg.com/vi/m2mW2FQJgEE/default.jpg URL=http://www.youtube.com/watch?v=m2mW2FQJgEE description=See how the multivariable chain rule can be expressed in terms of the directional derivative./description type=video name=Multivariable chain rule thumb=https://i.ytimg.com/vi/NO3AqAaAE6o/default.jpg URL=http://www.youtube.com/watch?v=NO3AqAaAE6o description=This is the simplest case of taking the derivative of a composition involving multivariable functions./description type=video name=Multivariable chain rule intuition thumb=https://i.ytimg.com/vi/hFvBZf-Jx28/default.jpg URL=http://www.youtube.com/watch?v=hFvBZf-Jx28 description=Get a feel for what the multivariable is really saying, and how thinking about various "nudges" in space makes it intuitive./description type=video name=Vector form of the multivariable chain rule thumb=https://i.ytimg.com/vi/qZlBjnC3iro/default.jpg URL=http://www.youtube.com/watch?v=qZlBjnC3iro description=The multivariable chain rule is more often expressed in terms of the gradient and a vector-valued derivative. This makes it look very analogous to the single-variable chain rule./description type=video name=Kirchhoff's voltage law | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/Bt6V7D5av9A/default.jpg URL=http://www.youtube.com/watch?v=Bt6V7D5av9A description=Kirchhoff's Voltage Law says if you travel around any loop in a circuit, the voltages across the elements add up to zero. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-application-of-the-fundamental-laws-setup?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-kirchhoffs-current-law?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Efficacy of Khan Academy thumb=https://i.ytimg.com/vi/8HpDX3ZYsnM/default.jpg URL=http://www.youtube.com/watch?v=8HpDX3ZYsnM description=Overview of Khan Academy's efficacy in the largest personalized learning pilot ever conducted./description type=video name=Khan Academy and the Common Core thumb=https://i.ytimg.com/vi/qOXkZfxAV90/default.jpg URL=http://www.youtube.com/watch?v=qOXkZfxAV90 description=Walk through of Khan Academy's Common Core Map for teachers./description type=video name=The Power of Persistence thumb=https://i.ytimg.com/vi/g5-X-v9dcA4/default.jpg URL=http://www.youtube.com/watch?v=g5-X-v9dcA4 description=Moawia shares how his persistence paid off and how Khan Academy helped him through a challenging academic history./description type=video name=Kirchhoff's current law | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/OYerdzZPSI0/default.jpg URL=http://www.youtube.com/watch?v=OYerdzZPSI0 description=Kirchhoff's Current Law says the currents flowing into a node must add up to zero. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-kirchhoffs-voltage-law?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/analyzing-a-resistor-circuit-with-two-batteries?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Voltage divider | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/t_hPrz7rs34/default.jpg URL=http://www.youtube.com/watch?v=t_hPrz7rs34 description=The output voltage is a fixed fraction of the input voltage. The ratio is determined by two resistors. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/analyzing-a-resistor-circuit-with-two-batteries?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-simplifying-resistor-networks?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Prepositions of space | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/1OjRJX0PNJE/default.jpg URL=http://www.youtube.com/watch?v=1OjRJX0PNJE description=Some prepositions help describe relationships between objects and their locations in space. David explains how! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/e/prepositions-about-time-and-space?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/prepositions-of-neither-space-nor-time?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/prepositions-of-time?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Meet the preposition | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/D3wQ5dgFPms/default.jpg URL=http://www.youtube.com/watch?v=D3wQ5dgFPms description=Prepositions help show us where things are in space and time. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/e/meet-the-preposition?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/e/meet-the-preposition-with-pictures?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intensifiers-and-adverbs-of-degree-modifiers-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Prepositions of neither space nor time | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/RPiAT-Nm3JY/default.jpg URL=http://www.youtube.com/watch?v=RPiAT-Nm3JY description=Some prepositions describe relationships between people or things. These prepositions don’t include information about time or space. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/e/common-prepositions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/e/common-prepositions?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/prepositions-of-space?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Prepositional phrases | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/7dOBMUESkqk/default.jpg URL=http://www.youtube.com/watch?v=7dOBMUESkqk description=Prepositional phrases are word chunks that begin with a preposition. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/e/prepositional-phrases?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/terminal-prepositions-prepositions-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/compound-prepositions-prepositions-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Terminal prepositions | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/NhGQYjXMgsY/default.jpg URL=http://www.youtube.com/watch?v=NhGQYjXMgsY description=It's totally okay to end sentences with prepositions! David, Khan Academy's grammarian-in-chief, explains the history and the context behind this long-held grammar myth. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/meet-the-personal-pronoun?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/conjunctions/v/coordinating-conjunctions-final?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/prepositional-phrases?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Prepositions of time | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/TzUO8du5Lrg/default.jpg URL=http://www.youtube.com/watch?v=TzUO8du5Lrg description=Some prepositions help describe moments in time. Learn more and enhance your powers of time wizardry! Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/prepositions-of-space?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/meet-the-preposition?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Finding units of rate constant k | Knetics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/fLL8xxjhDPI/default.jpg URL=http://www.youtube.com/watch?v=fLL8xxjhDPI description=How to find the units for the rate constant k for a zero, first, or second order reaction. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chem-kinetics/reaction-rates/v/experimental-determination-of-rate-laws?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chem-kinetics/reaction-rates/v/rate-law-and-reaction-order?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing Q vs K example | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/pnW1PNJlmWg/default.jpg URL=http://www.youtube.com/watch?v=pnW1PNJlmWg description=A worked example using reaction quotient Q to predict how concentrations will shift so the reaction can get to equilibrium. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acids-and-bases-topic/acids-and-bases/v/arrhenius-definition-of-acids-and-bases?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-equilibrium/factors-that-affect-chemical-equilibrium/v/intro-to-reaction-quotient-q?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ways to get a buffer solution | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/l9-Qkl42-Tc/default.jpg URL=http://www.youtube.com/watch?v=l9-Qkl42-Tc description=Describes the two main situations where you get a buffer: making a buffer for a specific pH by combining a weak acid and a salt containing the conjugate base, and using a neutralization reaction by combining a weak acid and a strong base. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/titration-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/buffer-solutions/v/ways-to-get-a-buffer-solution?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sign convention for passive components | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/1Oopq5U0b08/default.jpg URL=http://www.youtube.com/watch?v=1Oopq5U0b08 description=The sign convention for passive components defines what we mean by positive and negative voltage and current. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-series-resistors?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/circuit-terminology?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Current direction | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/4frpZ4Q0q58/default.jpg URL=http://www.youtube.com/watch?v=4frpZ4Q0q58 description=The positive sign for current corresponds to the direction a positive charge would move. In metal wires, current is carried by negatively charged electrons. The positive current arrow points opposite the direction the electrons move. This has been the sign convention for 270 years, ever since Ben Franklin name electric charges with + and - signs, 150 years before the discovery of the electron. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/introduction-to-ee/intro-to-ee/v/ee-voltage-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/introduction-to-ee/intro-to-ee/v/ee-current?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rate constant k from half-life example | Knetics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/dqvoAwA9nUQ/default.jpg URL=http://www.youtube.com/watch?v=dqvoAwA9nUQ description=Example problem showing how to find the rate constant k from the half-life of a first order reaction. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chem-kinetics/copy-of-kinetics/v/second-order-reaction-with-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chem-kinetics/copy-of-kinetics/v/first-order-reaction-example?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Current | Introduction to electrical engineering | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/ZRLXDiiUv8Q/default.jpg URL=http://www.youtube.com/watch?v=ZRLXDiiUv8Q description=Current is the flow of charge. We measure current by counting the amount of charge passing through a boundary in one second. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/introduction-to-ee/intro-to-ee/v/current-direction?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Voltage | Introduction to electrical engineering | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/k9SwNST1eW0/default.jpg URL=http://www.youtube.com/watch?v=k9SwNST1eW0 description=The positive sign for current corresponds to the direction a positive charge would move. In metal wires, current is carried by negatively charged electrons. The positive current arrow points opposite the direction the electrons move. This has been the sign convention for 270 years, ever since Ben Franklin name electric charges with + and - signs, 150 years before the discovery of the electron. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/ideal-circuit-elements?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/introduction-to-ee/intro-to-ee/v/ee-current?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying resistor networks | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/tnYQ_tQmYrM/default.jpg URL=http://www.youtube.com/watch?v=tnYQ_tQmYrM description=A systematic approach to simplify a complicated resistor network by looking for series and parallel resistor patterns. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-voltage-divider?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-parallel-resistors-3?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gradient and contour maps thumb=https://i.ytimg.com/vi/ZTbTYEMvo10/default.jpg URL=http://www.youtube.com/watch?v=ZTbTYEMvo10 description=Gradient vectors always point perpendicular to contour lines. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Directional derivative, formal definition thumb=https://i.ytimg.com/vi/4RBkIJPG6Yo/default.jpg URL=http://www.youtube.com/watch?v=4RBkIJPG6Yo description=Learn the limit definition of a directional derivative. This helps to clarify what it is really doing. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Directional derivatives and slope thumb=https://i.ytimg.com/vi/4tdyIGIEtNU/default.jpg URL=http://www.youtube.com/watch?v=4tdyIGIEtNU description=The directional derivative can be used to compute the slope of a slice of a graph, but you must be careful to use a unit vector. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial derivatives, introduction thumb=https://i.ytimg.com/vi/AXqhWeUEtQU/default.jpg URL=http://www.youtube.com/watch?v=AXqhWeUEtQU description=Partial derivatives tell you how a multivariable function changes as you tweak just one of the variables in its input. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Symmetry of second partial derivatives thumb=https://i.ytimg.com/vi/J08-L2buigM/default.jpg URL=http://www.youtube.com/watch?v=J08-L2buigM description=There are many ways to take a "second partial derivative", but some of them secretly turn out to be the same thing. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Directional derivative thumb=https://i.ytimg.com/vi/N_ZRcLheNv0/default.jpg URL=http://www.youtube.com/watch?v=N_ZRcLheNv0 description=Directional derivatives tell you how a multivariable function changes as you move along some vector in its input space. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why the gradient is the direction of steepest ascent thumb=https://i.ytimg.com/vi/TEB2z7ZlRAw/default.jpg URL=http://www.youtube.com/watch?v=TEB2z7ZlRAw description=The way we compute the gradient seems unrelated to its interpretation as the direction of steepest ascent. Here you can see how the two relate. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gradient and graphs thumb=https://i.ytimg.com/vi/_-02ze7tf08/default.jpg URL=http://www.youtube.com/watch?v=_-02ze7tf08 description=Learn how the gradient can be thought of as pointing in the "direction of steepest ascent". This is a rather important interpretation for the gradient. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial derivatives and graphs thumb=https://i.ytimg.com/vi/dfvnCHqzK54/default.jpg URL=http://www.youtube.com/watch?v=dfvnCHqzK54 description=One of the best ways to think about partial derivatives is by slicing the graph of a multivariable function. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formal definition of partial derivatives thumb=https://i.ytimg.com/vi/kdMep5GUOBw/default.jpg URL=http://www.youtube.com/watch?v=kdMep5GUOBw description=Partial derivatives are formally defined using a limit, much like ordinary derivatives. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to 3d graphs | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/2DRmfxkH_VI/default.jpg URL=http://www.youtube.com/watch?v=2DRmfxkH_VI description=Three-dimensional graphs are a way to represent functions with a two-dimensional input and a one-dimensional output. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric surfaces | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/345SnWfahhY/default.jpg URL=http://www.youtube.com/watch?v=345SnWfahhY description=Functions that have a two-dimensional input and a three-dimensional output can be thought of as drawing a surface in three-dimensional space. This is actually pretty cool. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector fields, introduction | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/5FWAVmwMXWg/default.jpg URL=http://www.youtube.com/watch?v=5FWAVmwMXWg description=Vector fields let you visualize a function with a two-dimensional input and a two-dimensional output. You end up with, well, a field of vectors sitting at various points in two-dimensional space. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting graphs with slices | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/E9bAwP7iK80/default.jpg URL=http://www.youtube.com/watch?v=E9bAwP7iK80 description=3d graphs can be a lot to take in, but it helps to imagine slicing them with planes parallel to the x-axis or y-axis and relate them with two-dimensional graphs. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=3d vector fields, introduction | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/Go3UvzbsSGo/default.jpg URL=http://www.youtube.com/watch?v=Go3UvzbsSGo description=Vector fields can also be three-dimensional, though this can be a bit trickier to visualize. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transformations, part 2 | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/Rkm0dLTYUuw/default.jpg URL=http://www.youtube.com/watch?v=Rkm0dLTYUuw description=More transformations, but this time with a function that maps two dimensions to two dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multivariable functions | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/TrcCbdWwCBc/default.jpg URL=http://www.youtube.com/watch?v=TrcCbdWwCBc description=An introduction to multivariable functions, and a welcome to the multivariable calculus content as a whole. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transformations, part 3 | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/U2SQXHMqclc/default.jpg URL=http://www.youtube.com/watch?v=U2SQXHMqclc description=Learn how you can think about a parametric surface as a certain kind of transformation. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fluid flow and vector fields | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/VJ2ZDLQk3IQ/default.jpg URL=http://www.youtube.com/watch?v=VJ2ZDLQk3IQ description=A neat way to interpret a vector field is to imagine that it represents some kind of fluid flow. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Contour plots | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/WsZj5Rb6do8/default.jpg URL=http://www.youtube.com/watch?v=WsZj5Rb6do8 description=An alternative method to representing multivariable functions with a two-dimensional input and a one-dimensional output, contour maps involve drawing purely in the input space. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=3d vector field example | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/ZiMYRBtDB2M/default.jpg URL=http://www.youtube.com/watch?v=ZiMYRBtDB2M description=See an example of how you can start to understand how the formula for a three-dimensional vector field relates to the way it looks. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric curves | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/bb4bSCjlFAw/default.jpg URL=http://www.youtube.com/watch?v=bb4bSCjlFAw description=When a function has a one-dimensional input, but a multidimensional output, you can think of it as drawing a curve in space. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Representing points in 3d | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/iBgOoaeLUcM/default.jpg URL=http://www.youtube.com/watch?v=iBgOoaeLUcM description=Learn how to represent and think about points and vectors in three-dimensional space. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transformations, part 1 | Multivariable calculus | Khan Academy thumb=https://i.ytimg.com/vi/roRR6A3TozM/default.jpg URL=http://www.youtube.com/watch?v=roRR6A3TozM description=One fun way to think about functions is to imagine that they literally move the points from the input space over to the output space. See what this looks like with some one-dimensional examples. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=BONUS VIDEO | Singular They | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/f21t7DRKlg8/default.jpg URL=http://www.youtube.com/watch?v=f21t7DRKlg8 description=You may have been hearing a lot about the "singular they" recently. But what is it? How does it work, what is its history, and is it grammatical? Let's find out. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-adjectives-v1?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/emphatic-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Tomorrow: AP US History Office Hours with Sal thumb=https://i.ytimg.com/vi/z7FQ5qGaA50/default.jpg URL=http://www.youtube.com/watch?v=z7FQ5qGaA50 description=Sign up here to join us for our LIVE AP US History review session! https://www.facebook.com/events/1176774719008139/?active_tab=posts Get ready for Friday's AP US History exam with Sal and Kim, our History Content Fellow. Tune in at 4:00 PM (PDT) to hear them discuss the major themes from US history and strategies for taking the exam. Happy studying!/description type=video name=Intro to adverbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/b3RaBB7IDZc/default.jpg URL=http://www.youtube.com/watch?v=b3RaBB7IDZc description=Adverbs are a kind of modifier that you can use to change verbs or adjectives, like 'very' or 'carefully'. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/meet-the-adverb?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/adjective-order?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/definite-and-indefinite-articles?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Intro to the comparative and the superlative | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/jROzZfJbplU/default.jpg URL=http://www.youtube.com/watch?v=jROzZfJbplU description=Find out how to be "happier" or even "the happiest!" Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/forming-the-comparative-and-superlative?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/adjective-order?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Intro to adjectives | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/pt-cjNaErxI/default.jpg URL=http://www.youtube.com/watch?v=pt-cjNaErxI description=Adjectives are the words we use to modify nouns. David explains how, with the help of a bear. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/meet-the-adjective?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-articles-v1?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/singular-they?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Intro to articles | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/4EsDY2VbIXs/default.jpg URL=http://www.youtube.com/watch?v=4EsDY2VbIXs description=Articles—words like the, a, and an—are special adjectives we use to indicate whether a noun is specific or not specific. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/meet-the-article?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/definite-and-indefinite-articles?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-adjectives-v1?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Relative adverbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/5Ub0Qu4uxpc/default.jpg URL=http://www.youtube.com/watch?v=5Ub0Qu4uxpc description=Relative adverbs connect chunks of sentences together. Find out how that works! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/identifying-relative-adverbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intensifiers-and-adverbs-of-degree-modifiers-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/forming-the-comparative-and-superlative?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Adjective order | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/7sHbB9VQBgo/default.jpg URL=http://www.youtube.com/watch?v=7sHbB9VQBgo description=Learn about the adjective order of Standard American English and your new favorite memory aid: DOSA-SCOMP. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/adjective-order?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-the-comparative-and-the-superlative-v2?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-adverbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Forming comparative and superlative modifiers | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/Mxblg8xKBoc/default.jpg URL=http://www.youtube.com/watch?v=Mxblg8xKBoc description=Learn how to form and use comparative and superlative modifiers. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/comparative-and-superlative-adjectives-and-adverbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/relative-adverbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-the-comparative-and-the-superlative-v2?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Definite and indefinite articles | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/TSd0uByBoTo/default.jpg URL=http://www.youtube.com/watch?v=TSd0uByBoTo description=Let's meet the personal pronouns! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/choosing-between-definite-and-indefinite-articles?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-adverbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/intro-to-articles-v1?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Intensifiers and adverbs of degree | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/_2htRrOPiDE/default.jpg URL=http://www.youtube.com/watch?v=_2htRrOPiDE description=Words like 'very' and 'slightly' are examples of intensifiers and adverbs of degree. Here's how they work! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/e/intensifiers-and-adverbs-of-degree?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-preposition/v/meet-the-preposition?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-modifier/v/relative-adverbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Introduction to agreement | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/KEdI0-xIUFc/default.jpg URL=http://www.youtube.com/watch?v=KEdI0-xIUFc description=When you match up the subject of a sentence with a verb, it's called 'agreement'. Here's how it works! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/intro-to-verb-agreement?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-agreement-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Confidence – Official SAT Practice on Khan Academy thumb=https://i.ytimg.com/vi/VINe0McmnYg/default.jpg URL=http://www.youtube.com/watch?v=VINe0McmnYg description=Khan Academy and the College Board have joined forces to bring you Official SAT Practice. http://khanacademy.org/sat/description type=video name=2015 AP Calculus BC 5a | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/1RGnb-QvQzU/default.jpg URL=http://www.youtube.com/watch?v=1RGnb-QvQzU description=Equation of tangent line. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-5b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-2d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 6b | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/59Jop9bZ-mw/default.jpg URL=http://www.youtube.com/watch?v=59Jop9bZ-mw description=Maclaurin series for derivative. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 6a | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/AZ6B7J8K1VU/default.jpg URL=http://www.youtube.com/watch?v=AZ6B7J8K1VU description=Ratio test. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-5d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 5c thumb=https://i.ytimg.com/vi/DYCwLAtNsjQ/default.jpg URL=http://www.youtube.com/watch?v=DYCwLAtNsjQ description=Engineering expression for critical point/description type=video name=2015 AP Calculus BC 6c | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/IAJHoGeevSQ/default.jpg URL=http://www.youtube.com/watch?v=IAJHoGeevSQ description=Multiplying two Taylor polynomials. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-1a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 5b | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/kWQzA37MqAk/default.jpg URL=http://www.youtube.com/watch?v=kWQzA37MqAk description=Relative minima and maxima. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-5c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-5a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 5d | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/wwc5yi3c4gY/default.jpg URL=http://www.youtube.com/watch?v=wwc5yi3c4gY description=Partial fraction expansion. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-5c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal interviews the AP Calculus Lead at College Board | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/_3VKtPGbSzk/default.jpg URL=http://www.youtube.com/watch?v=_3VKtPGbSzk description=AP Calculus lead, Ben Hedrick, talks about the design and tips for the AP Calculus exams. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-graphically/v/introduction-to-limits-hd?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-about-the-course/v/khan-academy-in-the-classroom-bill-scott?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 2b | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/ZFBwkvVa6NE/default.jpg URL=http://www.youtube.com/watch?v=ZFBwkvVa6NE description=Point on curve where tangent line has a certain slope. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-2c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-2a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 2c | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/eU7MCBQTvoY/default.jpg URL=http://www.youtube.com/watch?v=eU7MCBQTvoY description=Time when particle reaches a certain speed. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-2d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-2b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 2d | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/zhNP1LM479g/default.jpg URL=http://www.youtube.com/watch?v=zhNP1LM479g description=Finding distance travelled. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-5a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-2c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus BC 2a | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/UmU0L6j-48s/default.jpg URL=http://www.youtube.com/watch?v=UmU0L6j-48s description=x coordinate of particle at a certain time. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-2b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2017/v/2017-ap-calculus-abbc-4c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history long essay example 3 | US History | Khan Academy thumb=https://i.ytimg.com/vi/LQlnISYU5kI/default.jpg URL=http://www.youtube.com/watch?v=LQlnISYU5kI description=Kim gives an example outline for the long essay portion of the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/franklin-overview?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-long-essay-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history long essay example 2 | US History | Khan Academy thumb=https://i.ytimg.com/vi/risbXl12QIk/default.jpg URL=http://www.youtube.com/watch?v=risbXl12QIk description=Kim demonstrates the process of gathering evidence for writing the long essay and deciding what argument to make. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-long-essay-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-long-essay-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history long essay example 1 | US History | Khan Academy thumb=https://i.ytimg.com/vi/Cy-v0XB7_YE/default.jpg URL=http://www.youtube.com/watch?v=Cy-v0XB7_YE description=Kim explains the general strategy for approaching the long essay section on the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-long-essay-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-4?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Chemistry multiple choice sample: Boiling points thumb=https://i.ytimg.com/vi/JRxFsmvsmHY/default.jpg URL=http://www.youtube.com/watch?v=JRxFsmvsmHY description=Comparing the boiling point of nonane and 2,3,4-trifluoropentane. A sample multiple choice problem from the 2014 AP course description./description type=video name=2015 AP Chemistry free response 5a: Finding order of reaction | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/RoEZkrDWqmc/default.jpg URL=http://www.youtube.com/watch?v=RoEZkrDWqmc description=Finding the order of reaction based on graphs of absorbance, ln(absorbance) and 1/(absorbance) vs. time for kinetics of bleaching food coloring. An alternative method of solving 2015 AP Chemistry free response 5a. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/studying-for-ap-chemistry-exam/2015-ap-chemistry-free-response-questions/v/ap-2015-question-5a?utm_source=youtube&utm_medium=desc&utm_campaign=chemistry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=2015 AP Calculus AB 6b | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/s3jvXHQlO-c/default.jpg URL=http://www.youtube.com/watch?v=s3jvXHQlO-c description=Point on curve where tangent is vertical. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history DBQ example 4 | The historian's toolkit | US History | Khan Academy thumb=https://i.ytimg.com/vi/RwqqRBGIYHI/default.jpg URL=http://www.youtube.com/watch?v=RwqqRBGIYHI description=Kim explains how to use the themes you identified in the primary documents as an outline, and demonstrates how to include those documents in the final essay. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-long-essay-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history DBQ example 3 | The historian's toolkit | US History | Khan Academy thumb=https://i.ytimg.com/vi/QUpWZu1fR2o/default.jpg URL=http://www.youtube.com/watch?v=QUpWZu1fR2o description=Kim analyzes the last of the documents, identifies themes, and writes a thesis statement. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-4?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history DBQ example 2 | The historian's toolkit | US History | Khan Academy thumb=https://i.ytimg.com/vi/vPnKHpi8cYE/default.jpg URL=http://www.youtube.com/watch?v=vPnKHpi8cYE description=Kim talks about how to analyze the documents in the document-based question section of the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history DBQ example 1 | The historian's toolkit | US History | Khan Academy thumb=https://i.ytimg.com/vi/4rs8IC7TGpU/default.jpg URL=http://www.youtube.com/watch?v=4rs8IC7TGpU description=Kim explains the basic strategy of approaching the Document-Based Question (DBQ) on the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-short-answer-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LIVE Office Hours with Sal (Monday, May 2nd) thumb=https://i.ytimg.com/vi/a4dML9Rf0k8/default.jpg URL=http://www.youtube.com/watch?v=a4dML9Rf0k8 description=Sign up here to join us for our first-ever Facebook live event! https://www.facebook.com/events/822683767837922/ With the AP Calculus test just a week away, Sal and Grant, our Calculus Fellow, are hosting live office hours to answer your questions and work through practice problems similar to what you'll see on the exam. Make sure to tune in on Monday, May 2nd from 4:00-5:00 PM (PST). See you then!/description type=video name=2015 AP Calculus AB 6a | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/4ThUMRAvUkY/default.jpg URL=http://www.youtube.com/watch?v=4ThUMRAvUkY description=Equation for tangent line. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB 6c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/qSb78ptLZU0/default.jpg URL=http://www.youtube.com/watch?v=qSb78ptLZU0 description=Finding second derivative through implicit differentiation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-1a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 1d | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/9Fqy_stBdFk/default.jpg URL=http://www.youtube.com/watch?v=9Fqy_stBdFk description=When the pipe overflows. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ap-2a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-1c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 1ab | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ZsxMPW083mI/default.jpg URL=http://www.youtube.com/watch?v=ZsxMPW083mI description=Water in a pipe. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-1c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2017/v/2017-ap-calculus-abbc-4c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 1c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/uvNkvT6XgBo/default.jpg URL=http://www.youtube.com/watch?v=uvNkvT6XgBo description=Minimum water in the pipe. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-1d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-1ab?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB 2a | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5QY8yvZViO0/default.jpg URL=http://www.youtube.com/watch?v=5QY8yvZViO0 description=Areas between curves. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ap-2b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-1d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 3b | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/8OpvFcwKK7w/default.jpg URL=http://www.youtube.com/watch?v=8OpvFcwKK7w description=Riemann sum to estimate distance. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-3cd?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-3a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus 2c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Ncv6gt2Luew/default.jpg URL=http://www.youtube.com/watch?v=Ncv6gt2Luew description=Rate of change of difference between functions. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-3a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ap-2b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 3a | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/sdFT_8AJsy0/default.jpg URL=http://www.youtube.com/watch?v=sdFT_8AJsy0 description=Estimating acceleration. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-3b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-2c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 3cd | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/wN6LPqhnO6M/default.jpg URL=http://www.youtube.com/watch?v=wN6LPqhnO6M description=Accelerations and average velocity from velocity function. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-4-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-3b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AP 2b | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/xmVBv7vk3Gg/default.jpg URL=http://www.youtube.com/watch?v=xmVBv7vk3Gg description=Volume of solid. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-2c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ap-2a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 4ab | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/C06ELfztA9g/default.jpg URL=http://www.youtube.com/watch?v=C06ELfztA9g description=Slope field for differential equation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-4-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-3cd?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB 5d | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/a601bUPEYUs/default.jpg URL=http://www.youtube.com/watch?v=a601bUPEYUs description=Constructing expression for f with integral. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB 5b | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/bba11I93w8o/default.jpg URL=http://www.youtube.com/watch?v=bba11I93w8o description=Intervals where f is concave downwards and decreasing. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5-a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB 5a | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/j_kI7OcaLKI/default.jpg URL=http://www.youtube.com/watch?v=j_kI7OcaLKI description=Maxima for f from graph of f'. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-4-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB/BC 4cd | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/n3BtxJkEuUU/default.jpg URL=http://www.youtube.com/watch?v=n3BtxJkEuUU description=Solutions for the differential equation. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5-a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-abbc-4-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Calculus AB 5c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ol4bW-3qs_s/default.jpg URL=http://www.youtube.com/watch?v=ol4bW-3qs_s description=Inflection points for a function. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-5b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history short answer example 2 | US History | Khan Academy thumb=https://i.ytimg.com/vi/W47YbukmGuU/default.jpg URL=http://www.youtube.com/watch?v=W47YbukmGuU description=Kim talks about how to approach the short answer section on the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-dbq-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-short-answer-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history short answer example 1 | US History | Khan Academy thumb=https://i.ytimg.com/vi/XC1eb_uFlCU/default.jpg URL=http://www.youtube.com/watch?v=XC1eb_uFlCU description=KA's US history fellow Kim Kutz explains how to approach the short answer section on the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-short-answer-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-multiple-choice-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 7 | Thermodynamics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/hAeC68RvwT4/default.jpg URL=http://www.youtube.com/watch?v=hAeC68RvwT4 description=Energy necessary to recycle aluminum from aluminum oxide. From 2015 AP Chemistry free response 7. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/entropy-chemistry-sal/v/introduction-to-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/bond-enthalpy-and-enthalpy-of-reaction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 4 | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/JbLRFt_Z8nI/default.jpg URL=http://www.youtube.com/watch?v=JbLRFt_Z8nI description=Calculating the molar solubility of calcium hydroxide in a 0.10 M calcium nitrate solution. From 2015 AP Chemistry free response 4. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/copy-of-solubility-equilibria-mcat/v/solubility-and-the-common-ion-effect?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/copy-of-solubility-equilibria-mcat/v/solubility-from-the-solubility-product-constant?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 6 | Studying for the AP Chemistry exam? | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/YakL8PYQw58/default.jpg URL=http://www.youtube.com/watch?v=YakL8PYQw58 description=Melting points of salts, and writing the net ionic equations for a basic salt solution. From 2015 AP Chemistry free response 6. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/studying-for-ap-chemistry-exam/2015-ap-chemistry-free-response-questions/v/2015-ap-chemistry-free-response-6?utm_source=youtube&utm_medium=desc&utm_campaign=chemistry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=2015 AP Chemistry free response 5 | Knetics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/5Qr-0-Vgxyk/default.jpg URL=http://www.youtube.com/watch?v=5Qr-0-Vgxyk description=Kinetics of bleaching food coloring. From 2015 AP Chemistry free response 5. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chem-kinetics/arrhenius-equation/v/collision-theory?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chem-kinetics/copy-of-kinetics/v/zero-order-reaction-with-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 3e | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/55yE4qwjHbE/default.jpg URL=http://www.youtube.com/watch?v=55yE4qwjHbE description=Sketching a titration curve based on half-equivalence and equivalence points. From 2015 AP Chemistry free response 3e. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-resonse-3f?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-response-3d?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 3c | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/N8bTEEgskss/default.jpg URL=http://www.youtube.com/watch?v=N8bTEEgskss description=Choosing an indicator for a titration. From 2015 AP Chemistry free response 3c. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-response-3d?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-response-3b?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 3d | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/SHL_3JvfhXM/default.jpg URL=http://www.youtube.com/watch?v=SHL_3JvfhXM description=Calculating the pH at the half-equivalence point for the titration of a weak base with HCl. From 2015 AP Chemistry free response 3d. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-response-3e?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-response-3c?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 3f | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/XcbobQqv4j4/default.jpg URL=http://www.youtube.com/watch?v=XcbobQqv4j4 description=Analyzing concentrations when pH lower than half-equivalence point. From 2015 AP Chemistry free response 3f. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/titration-curves-and-acid-base-indicators?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-response-3e?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 3b | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/euyhg6APq1k/default.jpg URL=http://www.youtube.com/watch?v=euyhg6APq1k description=Calculating the concentration of weak base using information about equivalence point in a titration. From 2015 AP Chemistry free response 3b. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/2015-ap-chemistry-free-response-3c?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/titration-of-a-weak-base-with-a-strong-acid-continued?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 3a | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/jzcB3faNdq0/default.jpg URL=http://www.youtube.com/watch?v=jzcB3faNdq0 description=Net-ionic equation for a weak base titrated with HCl. From 2015 AP Chemistry free response 3a. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/types-of-chemical-reactions/v/chem09-precipitation-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/types-of-chemical-reactions/v/chem09-precipitation-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel resistors (part 2) | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/0IeWoAiHbAY/default.jpg URL=http://www.youtube.com/watch?v=0IeWoAiHbAY description=Multiple resistors in parallel can be combined into a single equivalent resistor. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-parallel-resistors-3?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-parallel-resistors-1?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel resistors (part 1) | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/MHADYILlW1E/default.jpg URL=http://www.youtube.com/watch?v=MHADYILlW1E description=Resistors are in parallel if their terminals are connected to the same two nodes. The equivalent single parallel resistance is smaller than the smallest parallel resistor. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-parallel-resistors-2?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-series-resistors?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Series resistors | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/P_SELh0dPW0/default.jpg URL=http://www.youtube.com/watch?v=P_SELh0dPW0 description=Resistors connected head-to-tail are in series. The equivalent overall resistance is the sum of the individual resistance values. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-parallel-resistors-1?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/ee-passive-sign-convention?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel resistors (part 3) | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/S0AJZjt0sEg/default.jpg URL=http://www.youtube.com/watch?v=S0AJZjt0sEg description=When two resistors are in parallel, the equivalent resistance is the product of the two resistors divided by their sum. When both resistors are the same value, the equivalent parallel resistance is exactly half of the original resistance. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-simplifying-resistor-networks?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-parallel-resistors-2?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 2a (part 1 of 2) | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/12lYK1U4dyY/default.jpg URL=http://www.youtube.com/watch?v=12lYK1U4dyY description=Moles of ethene produced from dehydration reaction with ethanol. From 2015 AP Chemistry free response 2a, part 1 of 2. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/limiting-reagent-stoichiometry/v/2015-ap-chemistry-free-response-2-a-continued-and-b?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/limiting-reagent-stoichiometry/v/limiting-reactant-example-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 2a (part 2/2) and b | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/5dvIBOsITTA/default.jpg URL=http://www.youtube.com/watch?v=5dvIBOsITTA description=Efficiency of ethanal dehydration reaction. From 2015 AP Chemistry free response 2a (part 2/2) and 2b. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/empirical-molecular-formula/v/empirical-molecular-and-structural-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/limiting-reagent-stoichiometry/v/2015-ap-chemistry-free-response-2-a?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 2f thumb=https://i.ytimg.com/vi/5c9hXhJ_o5w/default.jpg URL=http://www.youtube.com/watch?v=5c9hXhJ_o5w description=Solubility of ethanol and ethene in water./description type=video name=2015 AP Chemistry free response 2c | Thermodynamics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/6uojNiKFymc/default.jpg URL=http://www.youtube.com/watch?v=6uojNiKFymc description=Gibbs free energy and equilibrium constant of dehydration reaction. From 2015 AP Chemistry free response 2c. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/introduction-to-oxidation-and-reduction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/standard-change-in-free-energy-and-the-equilibrium-constant?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 2 d e thumb=https://i.ytimg.com/vi/ImTwySWxA4U/default.jpg URL=http://www.youtube.com/watch?v=ImTwySWxA4U description=Lewis electron-dot diagram and bond angles for ethanol/description type=video name=AP US history multiple choice example 2 | US History | Khan Academy thumb=https://i.ytimg.com/vi/vgRhK16wC8Y/default.jpg URL=http://www.youtube.com/watch?v=vgRhK16wC8Y description=KA's US history fellow Kim Kutz does another example multiple choice question from the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-short-answer-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-multiple-choice-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP US history multiple choice example 1 | US History | Khan Academy thumb=https://i.ytimg.com/vi/JqyxSUHgem0/default.jpg URL=http://www.youtube.com/watch?v=JqyxSUHgem0 description=KA's US history fellow Kim Kutz Elliott demonstrates how to approach the multiple choice section on the AP US history exam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-multiple-choice-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/how-to-think-like-a-historian/v/avoiding-common-mistakes-in-historical-essays?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The future tense | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/LvlpEPHPhpI/default.jpg URL=http://www.youtube.com/watch?v=LvlpEPHPhpI description=When you want to talk about the future in English, you use the future tense. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/linking-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-past-tense-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The past tense | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/zS6N5EqXpCY/default.jpg URL=http://www.youtube.com/watch?v=zS6N5EqXpCY description=When you want to talk about events that have already happened, you use the past tense. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-future-tense-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/present-tense-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The present tense | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/gRlrZrDL5QI/default.jpg URL=http://www.youtube.com/watch?v=gRlrZrDL5QI description=How do we talk about things that are happening right now? Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-past-tense-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-verb-tense-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 1d thumb=https://i.ytimg.com/vi/gD2mjdGVIus/default.jpg URL=http://www.youtube.com/watch?v=gD2mjdGVIus description=Which metal will transfer more electrons?/description type=video name=2015 AP Chemistry free response 1e | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/zZv70LK8TIw/default.jpg URL=http://www.youtube.com/watch?v=zZv70LK8TIw description=Writing the electron configuration of zinc, and figuring out which electron is removed during oxidation. From 2015 AP Chemistry free response 1e. View more lessons or practice this subject at https://www.khanacademy.org/science/chemistry/studying-for-ap-chemistry-exam/2015-ap-chemistry-free-response-questions/v/2015-ap-chemistry-free-response-1e?utm_source=youtube&utm_medium=desc&utm_campaign=chemistry Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The age of empire | Rise to world power (1890-1945) | US History | Khan Academy thumb=https://i.ytimg.com/vi/eJgtqs_Rwts/default.jpg URL=http://www.youtube.com/watch?v=eJgtqs_Rwts description=Why does the United States have territory outside of the Lower 48 states? KA's US history fellow Kim Kutz talks about the growing interest in becoming an imperial power in the 1890s. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/rise-to-world-power/us-in-wwi/v/blockades-u-boats-and-sinking-of-the-lusitania?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/the-gilded-age/south-after-civil-war/v/jim-crow-pt-4?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Chemistry free response 1 b c thumb=https://i.ytimg.com/vi/rPim-9WSg6g/default.jpg URL=http://www.youtube.com/watch?v=rPim-9WSg6g description=2015 AP Chemistry free response 1 b c - what happens to the potential when there is less oxygen/description type=video name=2015 AP Chemistry free response 1a thumb=https://i.ytimg.com/vi/fYUwEAPejbY/default.jpg URL=http://www.youtube.com/watch?v=fYUwEAPejbY description=Analyzing reactions and voltage of a metal-air cell./description type=video name=Emphatic pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/ADfyReSt2L0/default.jpg URL=http://www.youtube.com/watch?v=ADfyReSt2L0 description=Sometimes we use reflexive pronouns like "myself" and "ourselves" for emphasis in a sentence, like, "If you won't help me, then I'll do it myself!" KA's Grammar Fellow, David, explains this usage. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/emphatic-pronouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/singular-they?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/indefinite-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Personal pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/Gf7UgGyvDCA/default.jpg URL=http://www.youtube.com/watch?v=Gf7UgGyvDCA description=Let's meet the personal pronouns! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/meet-the-personal-pronoun?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/possessive-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/what-is-a-pronoun-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Grammatical person and pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/dFFRD7GAEUA/default.jpg URL=http://www.youtube.com/watch?v=dFFRD7GAEUA description=There's this idea in grammar called grammatical person that helps describe who's being talked about in a sentence. David, KA's Grammar Fellow, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/pronoun-person?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/pronoun-number-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/subject-and-object-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Indefinite Pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/gaMFyEravAs/default.jpg URL=http://www.youtube.com/watch?v=gaMFyEravAs description=David, Khan Academy's Grammar Fellow, covers three nifty features of indefinite pronouns, which are pronouns that are just a little vague, y'know? Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/indefinite-pronouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/pronoun-vagueness?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/pronoun-number-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Pronoun number | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/iqldLGr2aug/default.jpg URL=http://www.youtube.com/watch?v=iqldLGr2aug description=The difference between something being singular or plural is what we call 'grammatical number' in English. Here's how that idea applies to pronouns! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/pronoun-number?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/indefinite-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/grammatical-person-and-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=That versus which | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/6Js8tBCfbWk/default.jpg URL=http://www.youtube.com/watch?v=6Js8tBCfbWk description=Much has been made of the distinction between "that" and "which" in English, but it can mostly be summed up in two points: 1. "That" doesn't work so well with commas. 2. "Which" doesn't work so well with people. David the Grammarian explains. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/who-versus-whom-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/relative-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Relative pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/ZHzKQkX3IxI/default.jpg URL=http://www.youtube.com/watch?v=ZHzKQkX3IxI description=We use the relative pronouns to connect clauses together, like "the man *who sold the world* is coming over for dinner." David, KA's Grammar Fellow, explains. Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/that-versus-which-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/reflexive-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Reflexive pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/Zoh8XpfcF-c/default.jpg URL=http://www.youtube.com/watch?v=Zoh8XpfcF-c description=We use reflexive pronouns (like "herself" and "ourselves") when the subject and the object of a sentence are the same thing. David, KA's Grammar Fellow, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/reflexive-pronouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/relative-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/possessive-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=What is a pronoun? | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/nkjKPhleQ5E/default.jpg URL=http://www.youtube.com/watch?v=nkjKPhleQ5E description=Pronouns are words that can replace nouns, like the way "it" replaces "elephant" in "I looked at the elephant. It was grey." Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/the-question-word?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/personal-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/modal-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Subject and object pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/q5HmV3Czl6g/default.jpg URL=http://www.youtube.com/watch?v=q5HmV3Czl6g description=Before we get any further with pronouns, let's cover what the difference between a subject and an object pronoun is, because the distinction between those two concepts will start coming up a good deal. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/pronoun-case?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/grammatical-person-and-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/who-versus-whom-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Who versus whom | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/bPqMLKXoEac/default.jpg URL=http://www.youtube.com/watch?v=bPqMLKXoEac description=When do you use who, and when do you use whom? David, KA's grammarian, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/relative-pronouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/subject-and-object-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/relative-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Possessive pronouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/bhzh8VDykc4/default.jpg URL=http://www.youtube.com/watch?v=bhzh8VDykc4 description=We can use pronouns to show possession relationships, describing what things belong to which people, like "her shoe" or "the book is mine." Possessive pronouns come in two flavors: adjective and noun! David, KA's resident grammarian, covers the difference between them. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/e/choose-the-correct-possessive-pronoun-or-adjective?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/reflexive-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/personal-pronouns-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=2015 AP Biology free response 8 thumb=https://i.ytimg.com/vi/hnEcvv1xhhk/default.jpg URL=http://www.youtube.com/watch?v=hnEcvv1xhhk description=Humoral and cell mediated immune responses./description type=video name=2015 AP Biology free response 7 thumb=https://i.ytimg.com/vi/BT2ZPUPyL5g/default.jpg URL=http://www.youtube.com/watch?v=BT2ZPUPyL5g description=Olfactory neurons/description type=video name=2015 AP Biology free response 2 a b thumb=https://i.ytimg.com/vi/UNT8uh9io2o/default.jpg URL=http://www.youtube.com/watch?v=UNT8uh9io2o description=Questions on cellular respiration./description type=video name=2015 AP Biology free response 6 thumb=https://i.ytimg.com/vi/NEm1AupTkto/default.jpg URL=http://www.youtube.com/watch?v=NEm1AupTkto description=Fixing a declining snake population./description type=video name=2015 AP Biology free response 5 thumb=https://i.ytimg.com/vi/JVbdSwK5i1c/default.jpg URL=http://www.youtube.com/watch?v=JVbdSwK5i1c description=Phototropism investigation./description type=video name=2015 AP Biology free response 4 thumb=https://i.ytimg.com/vi/nfqYCmt6RAc/default.jpg URL=http://www.youtube.com/watch?v=nfqYCmt6RAc description=Commonalities and differences between mitosis and meiosis./description type=video name=2015 AP Biology free response 3 thumb=https://i.ytimg.com/vi/yjU49bK1gkA/default.jpg URL=http://www.youtube.com/watch?v=yjU49bK1gkA description=Thinking about evolutionary distance between species./description type=video name=2015 AP Biology free response 2 c d thumb=https://i.ytimg.com/vi/dktGVfUWIv8/default.jpg URL=http://www.youtube.com/watch?v=dktGVfUWIv8 description=More questions on cellular respiration./description type=video name=2015 AP Biology free response 1 a c thumb=https://i.ytimg.com/vi/Tbpj-dNGrhc/default.jpg URL=http://www.youtube.com/watch?v=Tbpj-dNGrhc description=Genetic and environmental influences on mouse activity cycles./description type=video name=2015 AP Biology free response 1 d e thumb=https://i.ytimg.com/vi/LpryknYN2xg/default.jpg URL=http://www.youtube.com/watch?v=LpryknYN2xg description=Light dark activity cycle of mutant mice and evolutionary implications./description type=video name=2015 AP Physics 1 free response 3d thumb=https://i.ytimg.com/vi/PdTRPJlp2Xk/default.jpg URL=http://www.youtube.com/watch?v=PdTRPJlp2Xk description=More analytically analyzing how doubling spring compression impacts stopping distance/description type=video name=2015 AP Physics 1 free response 3c thumb=https://i.ytimg.com/vi/8DmmUjnyMJI/default.jpg URL=http://www.youtube.com/watch?v=8DmmUjnyMJI description=Analytically analyzing how doubling spring compression impacts stopping distance/description type=video name=2015 AP Physics 1 free response 3b thumb=https://i.ytimg.com/vi/KH60uz5LNWk/default.jpg URL=http://www.youtube.com/watch?v=KH60uz5LNWk description=How doubling spring compression impacts stopping distance/description type=video name=2015 AP Physics 1 free response 3a thumb=https://i.ytimg.com/vi/qQM-IGnxi6g/default.jpg URL=http://www.youtube.com/watch?v=qQM-IGnxi6g description=Graphing energy versus position for a block accelerated by a spring and stopped by friction./description type=video name=2015 AP Physics 1 free response 5 thumb=https://i.ytimg.com/vi/z_KX8Xpxa-c/default.jpg URL=http://www.youtube.com/watch?v=z_KX8Xpxa-c description=Fundamental frequencies (first harmonics) of strings./description type=video name=2015 AP Physics 1 free response 4 thumb=https://i.ytimg.com/vi/x7UHl3Umeeg/default.jpg URL=http://www.youtube.com/watch?v=x7UHl3Umeeg description=Identical spheres falling from the same height with different horizontal velocities./description type=video name=2015 AP Physics 1 free response 2 c and d thumb=https://i.ytimg.com/vi/T1p_tQZsPLg/default.jpg URL=http://www.youtube.com/watch?v=T1p_tQZsPLg description=Testing if a bulb is nonohmic./description type=video name=2015 AP Physics I free response 2 a and b thumb=https://i.ytimg.com/vi/OpbYvr8yhqQ/default.jpg URL=http://www.youtube.com/watch?v=OpbYvr8yhqQ type=video name=Avoiding common mistakes in historical essays | US History | Khan Academy thumb=https://i.ytimg.com/vi/XLAA6ic_AmI/default.jpg URL=http://www.youtube.com/watch?v=XLAA6ic_AmI description=KA's History Fellow Kim Kutz talks about strategies for improving your historical essays. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-multiple-choice-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/how-to-think-like-a-historian/v/how-to-read-a-document-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to read a document | The historian's toolkit | US History | Khan Academy thumb=https://i.ytimg.com/vi/Q4kxgMH46mY/default.jpg URL=http://www.youtube.com/watch?v=Q4kxgMH46mY description=KA's US History Fellow Kim Kutz and Grammar Fellow David Rheinstrom discuss Franklin Delano Roosevelt's First Inaugural Address. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/how-to-think-like-a-historian/v/how-to-read-a-document-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/how-to-think-like-a-historian/v/thinking-like-a-historian?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2015 AP Physics 1 free response 1c thumb=https://i.ytimg.com/vi/18HrvnXsgNs/default.jpg URL=http://www.youtube.com/watch?v=18HrvnXsgNs description=Impact of adding a third mass to our string-pulley system./description type=video name=2015 AP Physics 1 free response 1b thumb=https://i.ytimg.com/vi/ff6SNrgUFt0/default.jpg URL=http://www.youtube.com/watch?v=ff6SNrgUFt0 description=Acceleration of two masses connected by string-pulley system./description type=video name=2015 AP Physics 1 free response 1a thumb=https://i.ytimg.com/vi/NrNG6OPijeY/default.jpg URL=http://www.youtube.com/watch?v=NrNG6OPijeY description=Free body diagram for two masses connected by string-pulley system./description type=video name=The discovery of the double helix structure of DNA thumb=https://i.ytimg.com/vi/hCUce36Ganc/default.jpg URL=http://www.youtube.com/watch?v=hCUce36Ganc description=The discovery of the double helix structure of DNA/description type=video name=Hershey and Chase conclusively show DNA genetic material thumb=https://i.ytimg.com/vi/bNsSaxCsIIg/default.jpg URL=http://www.youtube.com/watch?v=bNsSaxCsIIg description=Hershey and Chase conclusively show DNA genetic material/description type=video name=Establishing DNA as transformation principle thumb=https://i.ytimg.com/vi/9X12OVvOznU/default.jpg URL=http://www.youtube.com/watch?v=9X12OVvOznU description=How the work of Griffith and later Avery, McCarty and MacLeod give strong evidence that DNA is "transformation principle" that encodes genetic information./description type=video name=How to read a document part 2 | The historian's toolkit | US History | Khan Academy thumb=https://i.ytimg.com/vi/po33g3yIRXA/default.jpg URL=http://www.youtube.com/watch?v=po33g3yIRXA description=KA's History Fellow Kim Kutz and Grammar Fellow David Rheinstrom continue their conversation about how to interpret Roosevelt's First Inaugural Address. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/how-to-think-like-a-historian/v/avoiding-common-mistakes-in-historical-essays?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/how-to-think-like-a-historian/v/how-to-read-a-document?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to verbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/0T9xMqvjdLk/default.jpg URL=http://www.youtube.com/watch?v=0T9xMqvjdLk description=Let's explore what verbs are, and what they do! David, KA's Grammar Fellow, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/identifying-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-agreement-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/foreign-plurals-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to verb tense | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/faUvT7zfsyk/default.jpg URL=http://www.youtube.com/watch?v=faUvT7zfsyk description=An understanding of verb tense will make you into a TIME WIZARD, with the ability to control the past, the present, and the future – with your words, anyway. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/intro-to-verb-tense?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/present-tense-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-agreement-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Progressive Aspect | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/-PhyqbvnoCg/default.jpg URL=http://www.youtube.com/watch?v=-PhyqbvnoCg description=If verb tense allows you to control the past, the present, and the future, then aspect gives you even finer control over time. David, Khan Academy's resident grammarian, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/progressive-verb-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/progressive-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/intro-to-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perfect Aspect | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/858npSa0rgc/default.jpg URL=http://www.youtube.com/watch?v=858npSa0rgc description=If verb tense allows you to control the past, the present, and the future, then aspect gives you even finer control over time. David, Khan Academy's resident grammarian, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/progressive-verb-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/perfect-progressive-aspect-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/intro-to-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perfect progressive aspect | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/UORrFsnRCr8/default.jpg URL=http://www.youtube.com/watch?v=UORrFsnRCr8 description=We use the perfect progressive aspect to talk about an action that was once ongoing, but has since completed, like "I had been waiting for twenty minutes." Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/progressive-perfect-verb-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/modal-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/perfect-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Simple Aspect | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/_JXcMl8Hqjo/default.jpg URL=http://www.youtube.com/watch?v=_JXcMl8Hqjo description=If verb tense allows you to control the past, the present, and the future, then aspect gives you even finer control over time. David, Khan Academy's resident grammarian, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/progressive-verb-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/progressive-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/intro-to-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to verb aspect | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/r7Psg-4vvsA/default.jpg URL=http://www.youtube.com/watch?v=r7Psg-4vvsA description=If verb tense allows you to control the past, the present, and the future, then aspect gives you even finer control over time. David, Khan Academy's resident grammarian, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/simple-verb-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/simple-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-truly-irregular-irregular-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linking verbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/4dPbciiZSbo/default.jpg URL=http://www.youtube.com/watch?v=4dPbciiZSbo description=In a previous video, we established that one thing verbs can do is show actions, like "the bear runs." Verbs can also link ideas to one another, like "the bear looks cheerful." Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/helping-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-future-tense-verbs-the-parts-of-speech?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to irregular verbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/ZKr--3HpP_A/default.jpg URL=http://www.youtube.com/watch?v=ZKr--3HpP_A description=Words like "walk" and "look" are regular verbs – they behave in a predictable way. But there's a whole class of words in English, called irregular verbs, that are harder to predict. David, KA's Grammar Fellow, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/intro-to-irregular-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-funky-ed-irregular-verb-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/helping-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Helping verbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/bVLql3nVt5M/default.jpg URL=http://www.youtube.com/watch?v=bVLql3nVt5M description=We've established that verbs can show actions and link ideas together. Now, let's talk about how some verbs can be used to help other verbs. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/auxiliary--helping--verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-irregular-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/linking-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The vowel-shift irregular verb | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/rDb0G066k5w/default.jpg URL=http://www.youtube.com/watch?v=rDb0G066k5w description=This group of irregular verbs have vowel sounds that change in a predictable way, when they go from the present to the past tense. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/intro-to-irregular-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-irregular-verb-gets-taken-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-funky-ed-irregular-verb-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The irregular verb gets taken for a ride | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/zPQftyPqEDs/default.jpg URL=http://www.youtube.com/watch?v=zPQftyPqEDs description=This group of irregular verbs have vowel sounds that change in a predictable way, when they go from the present to the past tense. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/intro-to-irregular-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-irregular-verb-gets-taken-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-truly-irregular-irregular-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The truly irregular verbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/1iDCV5NbbzM/default.jpg URL=http://www.youtube.com/watch?v=1iDCV5NbbzM description=Some irregular verbs just won't be categorized. They don't fit into neat little boxes. These are those verbs. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/intro-to-irregular-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/intro-to-aspect?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-irregular-verb-gets-taken-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The funky -ed irregular verb | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/B8131VDv0e8/default.jpg URL=http://www.youtube.com/watch?v=B8131VDv0e8 description=These are the most regular of the irregular verbs; while they don't behave exactly like regular verbs, like present tense "walk" become past tense "walked", they do maintain the "-ed" sound. It's just spelled differently. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/intro-to-irregular-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/the-vowel-shift-irregular-verb-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-irregular-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modal verbs | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/hp9T-7on2Ow/default.jpg URL=http://www.youtube.com/watch?v=hp9T-7on2Ow description=There's a class of helper verbs known as modals that we use to express a bunch of conditions: we can use them to give advice, make guesses at how necessary or likely something is, make requests of people, and so on. They're super useful. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/modal-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/the-pronoun/v/what-is-a-pronoun-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/e/modal-verbs?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Thinking like a historian | The historian's toolkit | US History | Khan Academy thumb=https://i.ytimg.com/vi/vIdMgO-tfyE/default.jpg URL=http://www.youtube.com/watch?v=vIdMgO-tfyE description=KA's US History fellow Kim Kutz Elliott talks about some of the basic skills for thinking like a historian. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/historians-toolkit/how-to-think-like-a-historian/v/how-to-read-a-document?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Irregular plural nouns |– foreign plurals | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/L6pH8O3B4ak/default.jpg URL=http://www.youtube.com/watch?v=L6pH8O3B4ak description=You don't need to know how to speak Latin and Greek in order to understand English, but some words in English come from those languages. It's helpful to know how some Greek and Latin words change from singular to plural. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/irregular-plural-nouns--foreign-plurals?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/bonus-video-origin-of-the-mutant-plural-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plural-nouns-part-iv-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Grammar | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/O-6q-siuMik/default.jpg URL=http://www.youtube.com/watch?v=O-6q-siuMik description=Khan Academy Grammarian David Rheinstrom welcomes you to his favorite topic: the study of language, its rules, and its conventions. By understanding English – by speaking it, by writing it, by reading this very sentence – you are a grammarian yourself! Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/introduction-to-nouns-the-parts-of-speech-grammar-khan-academy Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UCgk9hgdd2Uy6Fjfx_dK1j8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thomas Hunt Morgan and fruit flies thumb=https://i.ytimg.com/vi/huDDaj0PjLU/default.jpg URL=http://www.youtube.com/watch?v=huDDaj0PjLU description=Thomas Hunt Morgan's pioneering work that established the connection with sex and eye color in fruit flies (and thus helped validate the chromosomal theory of inheritance)./description type=video name=Boveri-Sutton Chromosome Theory thumb=https://i.ytimg.com/vi/rV6O3rGulaY/default.jpg URL=http://www.youtube.com/watch?v=rV6O3rGulaY description=Overview of how we first theorized that chromosomes were the cellular location of Mendel's "heritable factors" (what we now call "genes")./description type=video name=Circuit terminology | Circuit analysis | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/cMUWA7ZSPCU/default.jpg URL=http://www.youtube.com/watch?v=cMUWA7ZSPCU description=Definition of circuit terms: element, component, node, branch, mesh, and loop . Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/ee-passive-sign-convention?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/v/ee-ideal-sources?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The scientific method thumb=https://i.ytimg.com/vi/N6IAzlugWw0/default.jpg URL=http://www.youtube.com/watch?v=N6IAzlugWw0 description=The scientific method/description type=video name=pH and pKa relationship for buffers | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/7ZLjzp7thNI/default.jpg URL=http://www.youtube.com/watch?v=7ZLjzp7thNI description=How the Henderson-Hasselbalch equation can be used to look at the ratio of conjugate acid and base using relationship between buffer pH and pKa. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/buffer-solutions/v/buffer-capacity?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/buffer-solutions/v/buffer-solution-calculations?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Small x approximation for large Kc | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/PAz3qwVxDKY/default.jpg URL=http://www.youtube.com/watch?v=PAz3qwVxDKY description=Guidelines and worked examples for using the small x approximation to solve equilibrium problems with large Kc values. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/factors-that-affect-chemical-equilibrium/v/le-chatelier-s-principle?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/small-x-approximation-for-small-kc?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Small x approximation for small Kc | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/owA2rUggKoA/default.jpg URL=http://www.youtube.com/watch?v=owA2rUggKoA description=When the small x approximation is useful for solving equilibrium problems, and an example using the small x approximation when Kc is small. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/small-x-approximation-for-large-kc?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/heterogenous-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Buffer capacity | Buffers, titrations, and solubility equilibria | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/pnPWdDOR9XE/default.jpg URL=http://www.youtube.com/watch?v=pnPWdDOR9XE description=The definition of buffer capacity, and an example showing why it depends on the absolute concentrations of the conjugate acid and base. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/buffer-solutions/v/ways-to-get-a-buffer-solution?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/buffer-solutions/v/ph-and-pka-relationship-for-buffers?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Biology overview thumb=https://i.ytimg.com/vi/dQCsA2cCdvA/default.jpg URL=http://www.youtube.com/watch?v=dQCsA2cCdvA description=Biology overview/description type=video name=Transforming exponential graphs (example 2) | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ja4WRZ4DrAw/default.jpg URL=http://www.youtube.com/watch?v=ja4WRZ4DrAw description=Given the graph of y=2ˣ, Sal graphs y=(-1)2ˣ⁺³+4, which is a vertical reflection and a shift of y=2ˣ. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-func-graphs/v/graphing-exponential-functions-interactive?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-func-graphs/v/transforming-exponential-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing exponential functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/vlSEpdWf2hQ/default.jpg URL=http://www.youtube.com/watch?v=vlSEpdWf2hQ description=Sal graphs y=-2*3ˣ+5 using our interactive graphing widget. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-func-graphs/v/graphing-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-func-graphs/v/transforming-exponential-graphs-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing exponential models: percent change | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/x9a73iHv06U/default.jpg URL=http://www.youtube.com/watch?v=x9a73iHv06U description=Sal models a population of narwhals using an exponential function. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-construct-exponential-models/v/decay-of-cesium-137-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-construct-exponential-models/v/constructing-exponential-models-half-life?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing exponential models | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/FRW7SINSYco/default.jpg URL=http://www.youtube.com/watch?v=FRW7SINSYco description=Sal models the distribution of a chain letter using an exponential function. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-construct-exponential-models/v/constructing-exponential-models-half-life?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-interpreting-exponential-rate/v/interpreting-time-in-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing exponential models: half life | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/kaxfCiP9d0w/default.jpg URL=http://www.youtube.com/watch?v=kaxfCiP9d0w description=Sal models the decay of a Carbon-14 sample using an exponential function. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-construct-exponential-models/v/constructing-exponential-models-percent-change?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-construct-exponential-models/v/constructing-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transforming exponential graphs | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/83gM3ufe1Nw/default.jpg URL=http://www.youtube.com/watch?v=83gM3ufe1Nw description=Given the graph of y=2ˣ, Sal graphs y=2⁻ˣ-5, which is a horizontal reflection and shift of y=2ˣ. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-func-graphs/v/transforming-exponential-graphs-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-models/v/solving-exponential-model-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of rational functions: zeros | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/TX_mx3qULpw/default.jpg URL=http://www.youtube.com/watch?v=TX_mx3qULpw description=Sal picks the graph that matches f(x)=(2x²-18)/g(x) (where g(x) is a polynomial) based on its zeros. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-graphs/v/example-rational-functions-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-graphs/v/graphs-of-rational-functions-vertical-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of rational functions: y-intercept | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/YElHmwdbkzQ/default.jpg URL=http://www.youtube.com/watch?v=YElHmwdbkzQ description=Sal picks the graph that matches f(x)=(ax^m+bx+12)/(cx^m+dx+12) based on its y-intercept. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-graphs/v/graphs-of-rational-functions-horizontal-asymptote?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-graphs/v/finding-asymptotes-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of rational functions: horizontal asymptote | Algebra II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/qAfETdORmcw/default.jpg URL=http://www.youtube.com/watch?v=qAfETdORmcw description=Sal picks the graph that matches f(x)=(-x²+ax+b)/(x²+cx+d) based on its horizontal asymptote. Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/graphs-of-rational-functions/v/graphs-of-rational-functions-vertical-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/graphs-of-rational-functions/v/graphs-of-rational-functions-y-intercept?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of rational functions: vertical asymptotes | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/-jXk1gl_sEo/default.jpg URL=http://www.youtube.com/watch?v=-jXk1gl_sEo description=Sal picks the graph that matches f(x)=g(x)/(x²-x-6) (where g(x) is a polynomial) based on its discontinuities. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-graphs/v/graphs-of-rational-functions-zeros?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-graphs/v/graphs-of-rational-functions-horizontal-asymptote?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vertices & direction of a hyperbola | Precalculus | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/oO3nWnJppqg/default.jpg URL=http://www.youtube.com/watch?v=oO3nWnJppqg description=Sal picks the graph of y²/9-x²/4=1 based on the hyperbola's center, direction, & vertices. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/precalculus/conics-precalc/intro-to-hyperbolas/v/vertices-and-direction-of-a-hyperbola-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/precalculus/conics-precalc/intro-to-hyperbolas/v/conic-sections-intro-to-hyperbolas?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Picking hyperbola equation thumb=https://i.ytimg.com/vi/hnVFThmLW5Q/default.jpg URL=http://www.youtube.com/watch?v=hnVFThmLW5Q description=Picking hyperbola equation/description type=video name=Analyzing vertical asymptotes of rational functions | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/X8B4Fi7wadc/default.jpg URL=http://www.youtube.com/watch?v=X8B4Fi7wadc description=Sal analyzes the behavior of q(x)=(x²+3x+2)/(x+3) around its vertical asymptote at x=-3. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-graphs/v/finding-asymptotes-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-discontinuities/v/discontinuities-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Discontinuities of rational functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/qoMimDT7D8w/default.jpg URL=http://www.youtube.com/watch?v=qoMimDT7D8w description=Sal analyzes two rational functions to find their vertical asymptotes & removable discontinuities. He distinguishes those from the zeros of the functions. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-discontinuities/v/analyzing-vertical-asymptotes-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-end-behavior/v/end-behavior-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=End behavior of rational functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Vtcmyr5IGYY/default.jpg URL=http://www.youtube.com/watch?v=Vtcmyr5IGYY description=Sal analyzes the end behavior of several rational functions, that together cover all cases types of end behavior. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-func-discontinuities/v/discontinuities-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-direct-inverse-variation/v/inverse-variation-application?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equations with rational expressions (example 2) | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/CBlSsy1eslw/default.jpg URL=http://www.youtube.com/watch?v=CBlSsy1eslw description=Sal solves (-2x+4)/(x-1)=3/(x+1)-1. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-eq/v/rational-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-eq/v/equations-with-two-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equations with rational expressions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/McOMtxI_Jzs/default.jpg URL=http://www.youtube.com/watch?v=McOMtxI_Jzs description=Sal solves (x²-10x+21)/(3x-12)=(x-5)/(x-4), which has one real solution and one extraneous solution. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-eq/v/equations-with-two-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-rational-eq/v/solving-rational-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Least common multiple of polynomials | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Ws03IbNrjfM/default.jpg URL=http://www.youtube.com/watch?v=Ws03IbNrjfM description=Sal finds the least common multiple (LCM) of 3z³-6z²-9z and 7z⁴+21z³+14z². Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/adding-and-subtracting-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/subtracting-rational-expressions-w-factored-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting rational expressions: factored denominators | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/j8cKFzj5V6g/default.jpg URL=http://www.youtube.com/watch?v=j8cKFzj5V6g description=Sal subtracts two rational expressions whose denominators are factored. The denominators aren't the same but they share a factor. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/least-common-multiples-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/least-common-multiple-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rational expressions: common monomial factors | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/XFwQV-KCudw/default.jpg URL=http://www.youtube.com/watch?v=XFwQV-KCudw description=Sal simplifies the rational expressions (14x²+7x)/(14x) and (17z³+17z²)/(34z³-51z²) by taking common factors and canceling them. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/simplifying-rational-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/simplifying-rational-expressions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rational expressions: higher degree terms | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/yPZ7In2tdOQ/default.jpg URL=http://www.youtube.com/watch?v=yPZ7In2tdOQ description=Sal simplifies & states the domain of (x⁴+8x²+7)/(3x⁵-3x). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/simplifying-rational-expressions-w-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/simplifying-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rational expressions: two variables | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/e7vA_S7abSY/default.jpg URL=http://www.youtube.com/watch?v=e7vA_S7abSY description=Sal simplifies & states the domain of (5x²+20xy+20y²)/(x²-xy-6y²). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/dividing-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/simplifying-rational-expressions-w-higher-degree-terms?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing rational expressions: unknown expression | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/54ZFp4CwWEg/default.jpg URL=http://www.youtube.com/watch?v=54ZFp4CwWEg description=Sal finds the polynomial D for which (20y²-80)/D ÷ (4y²-8y)/(y³+9y²)=1 is true for all values of y for which it's defined. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/adding-and-subtracting-rational-expressions-with-like-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-mul-div-rational-exp/v/multiplying-and-dividing-rational-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding rational expression: unlike denominators | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/DrE_iiw1Mvk/default.jpg URL=http://www.youtube.com/watch?v=DrE_iiw1Mvk description=Sal rewrites (5x)/(2x-3)+(-4x²)(3x+1) as (-8x³+27x²+5x)/(2x-3)(3x+1). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/subtracting-rational-expressions-w-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/algebraic-expression-adding-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting rational expressions: unlike denominators | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/evmDZkDvlNw/default.jpg URL=http://www.youtube.com/watch?v=evmDZkDvlNw description=Sal rewrites (-5x)/(8x+7)-(6x³)(3x+1) as (-48x⁴-42x³-15x²-5x)/(8x+7)(3x+1). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/least-common-multiple-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/adding-rational-expression-w-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving square-root equations: no solution | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ibeyn2QGjCM/default.jpg URL=http://www.youtube.com/watch?v=ibeyn2QGjCM description=Sal solves the equation √(3x-7)+√(2x-1)=0, only to find out that the single solution is extraneous, which means the equation has no solution. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-extraneous-solutions/v/extraneous-solutions-of-radical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-square-root-eq/v/solving-square-root-equations-w-two-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving square-root equations: two solutions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/wt6XqG59t5U/default.jpg URL=http://www.youtube.com/watch?v=wt6XqG59t5U description=Sal solves the equation 6+3w=√(2w+12)+2w which has two solutions. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-square-root-eq/v/solving-square-root-equations-w-no-solution?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-square-root-eq/v/solving-radical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling with composite functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/pIMfRbznxKA/default.jpg URL=http://www.youtube.com/watch?v=pIMfRbznxKA description=Sal determines the correct functions to compose (and the correct order) in order to model a given relationship, and vice versa. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-combining-composing-models/v/modeling-with-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-combining-composing-models/v/modeling-with-combined-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding inverse functions: rational | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/VzWxvDe8TUQ/default.jpg URL=http://www.youtube.com/watch?v=VzWxvDe8TUQ description=Sal finds the inverse of g(x)=(2x-1)/(x+3). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-verifying-inverses/v/verifying-function-inverses-by-composition?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-finding-inverse-func/v/finding-inverse-functions-radical?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding inverse functions: radical | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/JBqYTuA_WgE/default.jpg URL=http://www.youtube.com/watch?v=JBqYTuA_WgE description=Sal finds the inverse of h(x)=-∛(3x-6)+12. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-finding-inverse-func/v/finding-inverse-functions-rational?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-finding-inverse-func/v/function-inverses-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compressing functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/4H5JZnytOfE/default.jpg URL=http://www.youtube.com/watch?v=4H5JZnytOfE description=Given the graphs of functions f and g, where g is the result of compressing f by a factor of 2, Sal finds g(x) in terms of f(x). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-stretching-func/v/reflecting-and-compressing-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-stretching-func/v/shifting-and-reflecting-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reflecting & compressing functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Upw1b0EohIM/default.jpg URL=http://www.youtube.com/watch?v=Upw1b0EohIM description=Given the graphs of functions f and g, where g is the result of reflecting & compressing f by a factor of 3, Sal finds g(x) in terms of f(x). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-combining-composing-models/v/modeling-with-combined-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-stretching-func/v/compressing-functions-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shifting functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/MDav5OMpCto/default.jpg URL=http://www.youtube.com/watch?v=MDav5OMpCto description=Sal analyzes two cases where functions f and g are given graphically, and g is a result of shifting f. He writes formulas for g in terms of f and in terms of x. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-shifting-func/v/graphing-shifted-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-composing-func/v/evaluating-composite-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing shifted functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/5DLkB-g8Rr8/default.jpg URL=http://www.youtube.com/watch?v=5DLkB-g8Rr8 description=Given the graph of f(x)=x², Sal graphs g(x)=(x-2)²-4, which is the graph of f shifted 2 units to the right and 4 units down. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-stretching-func/v/shifting-and-reflecting-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-shifting-func/v/shifting-functions-examples?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: rational vs. irrational expressions (unknowns) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/NC6HXlrH53Y/default.jpg URL=http://www.youtube.com/watch?v=NC6HXlrH53Y description=Sal determines whether expressions with unknown rational/irrational numbers are rational or irrational. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-complex-num/math2-imaginary-num/v/introduction-to-i-and-imaginary-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-irrationals/math2-sums-products-of-rational-irrational/v/recognizing-rational-and-irrational-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing exponential growth & decay | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/RVv0Jgi3Pbw/default.jpg URL=http://www.youtube.com/watch?v=RVv0Jgi3Pbw description=Graphing the exponential functions y=27⋅(⅓)ˣ and y=-30⋅2ˣ. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-interpreting-formulas-of-basic-exponential-functions/v/initial-value-and-common-ratio-of-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-graphs-of-basic-exponential-functions/v/graphing-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing exponential functions | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/UgLfAb_aFt4/default.jpg URL=http://www.youtube.com/watch?v=UgLfAb_aFt4 description=Writing the exponential function whose initial value is -2 and common ratio is 1/7. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-exponential-growth-and-decay/v/constructing-linear-and-exponential-functions-from-data?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-exponential-growth-and-decay/v/initial-value-and-common-ratio-of-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating composite functions | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/lxtlwnCV-HM/default.jpg URL=http://www.youtube.com/watch?v=lxtlwnCV-HM description=Sal evaluates (h⚬g)(-6) for g(x)=x²+5x-3 and h(y)=3(y-1)²-5. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-composing-func/v/evaluating-composite-functions-using-tables?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-composing-func/v/function-composition?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying hairy exponent expressions thumb=https://i.ytimg.com/vi/1BRXCIvt9e0/default.jpg URL=http://www.youtube.com/watch?v=1BRXCIvt9e0 description=Simplifying hairy exponent expressions/description type=video name=Simplifying more involved radical expressions thumb=https://i.ytimg.com/vi/suwJmCrSDI8/default.jpg URL=http://www.youtube.com/watch?v=suwJmCrSDI8 description=Simplifying more involved radical expressions/description type=video name=Simplifying radicals examples thumb=https://i.ytimg.com/vi/74iuGIaBgRc/default.jpg URL=http://www.youtube.com/watch?v=74iuGIaBgRc description=Simplifying radicals examples/description type=video name=Rewriting roots as rational exponents | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/gH4IsIEYof0/default.jpg URL=http://www.youtube.com/watch?v=gH4IsIEYof0 description=Sal solves several problems about the equivalence of expressions with roots and rational exponents. For example, rewrite ⁶√(g⁵) as g^⅚. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-introduction-to-rational-exponents-and-radicals/v/solving-for-a-fractional-exponent?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-introduction-to-rational-exponents-and-radicals/v/basic-fractional-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Position vector valued functions | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/7fYDCUIvZnM/default.jpg URL=http://www.youtube.com/watch?v=7fYDCUIvZnM description=Using a position vector valued function to describe a curve or path Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/derivative-of-a-position-vector-valued-function?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-2-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing features of quadratic functions | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/UdLYAqN0gNY/default.jpg URL=http://www.youtube.com/watch?v=UdLYAqN0gNY description=Sal compares the y-intercepts, the zeros, and the concavity of quadratic functions given graphically and algebraically. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-features/v/comparing-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-features/v/finding-features-of-quadratic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding features of quadratic functions | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/V-BAdpvejTw/default.jpg URL=http://www.youtube.com/watch?v=V-BAdpvejTw description=Sal finds the zeros, the vertex, & the line of symmetry of quadratic functions given in vertex form, factored form, & standard form. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-features/v/comparing-features-of-quadratic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-features/v/strategy-with-forms-of-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Solving equations by completing the square | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/KouDAzYl_bc/default.jpg URL=http://www.youtube.com/watch?v=KouDAzYl_bc description=Sal solves x²-2x-8=0 by rewriting the equation as (x-1)²-9=0 (which is done by completing the square!). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-completing-the-square/v/completing-the-square-to-solve-quadratic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-completing-the-square/v/rewriting-quadratics-as-perfect-squares?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Rewriting expressions by completing the square | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/sh-MP-dVhD4/default.jpg URL=http://www.youtube.com/watch?v=sh-MP-dVhD4 description=Sal rewrites x²+16x+9 as (x+8)²-55 by completing the square. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-completing-the-square/v/solving-quadratics-by-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-completing-the-square/v/solving-quadratic-equations-by-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving quadratics by factoring: leading coefficient ≠ 1 | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/KbFwLvCOBUI/default.jpg URL=http://www.youtube.com/watch?v=KbFwLvCOBUI description=Sal solves 6x²-120x+600=0 by first dividing by 6 and then factoring. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratic-eq-factoring/v/using-structure-to-solve-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratic-eq-factoring/v/example-1-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving quadratics by taking square roots examples | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/VTlvg4wJ1X0/default.jpg URL=http://www.youtube.com/watch?v=VTlvg4wJ1X0 description=Sal solves the equation (x+3)²-4=0 and finds the x-intercepts of f(x)=(x-2)²-9. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-square-root/v/order-of-steps-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratics-square-root/v/simple-quadratic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Extending geometric sequences | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/yZ-GufE_uyA/default.jpg URL=http://www.youtube.com/watch?v=yZ-GufE_uyA description=Sal finds the next term in the geometric sequence -1/32, 1/8, -1/2, 2,... Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-geometric-sequences/v/using-explicit-formulas-of-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-geometric-sequences/v/geometric-sequences-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using recursive formulas of geometric sequences | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/RkJBZALhXRA/default.jpg URL=http://www.youtube.com/watch?v=RkJBZALhXRA description=Sal finds the 4th term in the sequence whose recursive formula is a(1)=-⅛, a(i)=2a(i-1). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-geometric-sequences/v/explicit-and-recursive-formulas-for-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-geometric-sequences/v/using-explicit-formulas-of-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using explicit formulas of geometric sequences | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/HODIXLzIMIk/default.jpg URL=http://www.youtube.com/watch?v=HODIXLzIMIk description=Sal finds the 5th term in the geometric sequence whose explicit formula is 3(-¼)^(i-1). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-geometric-sequences/v/using-recursive-formulas-of-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-geometric-sequences/v/extending-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recursive formulas for arithmetic sequences | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/lBtb30SjU2Q/default.jpg URL=http://www.youtube.com/watch?v=lBtb30SjU2Q description=Sal finds the recursive formula of the arithmetic sequence 4, 3⅘, 3⅗, 3⅖,... Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-arithmetic-sequences/v/explicit-formulas-for-arithmetic-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-arithmetic-squences/v/using-recursive-formula-for-arithmetic-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using arithmetic sequences formulas | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/8eSUbi_aYL4/default.jpg URL=http://www.youtube.com/watch?v=8eSUbi_aYL4 description=Sal finds terms of arithmetic sequences using their explicit and recursive formulas. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-arithmetic-squences/v/using-recursive-formula-for-arithmetic-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-arithmetic-squences/v/extending-arithmetic-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Generating inputs and outputs of a function thumb=https://i.ytimg.com/vi/d4Sbl2GRmlQ/default.jpg URL=http://www.youtube.com/watch?v=d4Sbl2GRmlQ description=Generating inputs and outputs of a function/description type=video name=Extending arithmetic sequences | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/EU0c6qrrevA/default.jpg URL=http://www.youtube.com/watch?v=EU0c6qrrevA description=Sal extends the arithmetic sequences -8, -14, -20, -26,... and 2, -1, -4, -7, -10,... to find their next terms. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-arithmetic-squences/v/using-arithmetic-sequences-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-arithmetic-squences/v/arithmetic-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting units in formulas: novel units | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/CSNeYAV95UU/default.jpg URL=http://www.youtube.com/watch?v=CSNeYAV95UU description=Sal finds an appropriate measurement unit for carrot yield given the formula Y=2C/P where Y is yield, C is # of carrots, and P is # of plants. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-units/math1-intro-to-dimensional-analysis/v/figuring-out-units-from-formula?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-units/math1-intro-to-dimensional-analysis/v/interpreting-units-in-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting units in formulas | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/VbgYvbtiirQ/default.jpg URL=http://www.youtube.com/watch?v=VbgYvbtiirQ description=Sal finds an appropriate measurement unit for Power given the formula P=W/t where P is Power, W is Work, and t is Time. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-units/math1-intro-to-dimensional-analysis/v/interpreting-units-in-formulas-novel?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-units/math1-intro-to-dimensional-analysis/v/dimensional-analysis-units-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear equations with unknown coefficients | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/adPgapI-h3g/default.jpg URL=http://www.youtube.com/watch?v=adPgapI-h3g description=Sal solves the equations ax+3x=bx+5 and a(5-x)=bx-8 for x. Note that these equations include other unknowns (a and b) but we solve them for x. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-one-var-eq-ineq/math1-multi-step-inequalities/v/multi-step-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-one-var-eq-ineq/math1-number-of-solutions-to-linear-equations/v/number-of-solutions-to-linear-equations-ex-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Energy equation thumb=https://i.ytimg.com/vi/yo-Gu-ELecg/default.jpg URL=http://www.youtube.com/watch?v=yo-Gu-ELecg description=Thinking about the inputs that drive global C02 production and likely trends in them./description type=video name=Ellipse standard equation from graph | Precalculus | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/_JrQF8Rkaio/default.jpg URL=http://www.youtube.com/watch?v=_JrQF8Rkaio description=Given an ellipse on the coordinate plane, Sal finds its standard equation, which is an equation in the form (x-h)²/a²+(y-k)²/b²=1. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/precalculus/conics-precalc/center-and-radii-of-an-ellipse/v/ellipse-graph-from-standard-equation?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/precalculus/conics-precalc/center-and-radii-of-an-ellipse/v/conic-sections-intro-to-ellipses?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ellipse graph from standard equation | Precalculus | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/h5dIVNjVjXg/default.jpg URL=http://www.youtube.com/watch?v=h5dIVNjVjXg description=Given the standard equation of an ellipse, Sal finds the graph of the ellipse. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/precalculus/conics-precalc/foci-of-an-ellipse/v/foci-of-an-ellipse?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/precalculus/conics-precalc/center-and-radii-of-an-ellipse/v/ellipse-standard-equation-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing circles from features | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/LDjMDIuTWtM/default.jpg URL=http://www.youtube.com/watch?v=LDjMDIuTWtM description=Sal graphs a circle centered at (3,-2) with a radius of 5 units in our interactive widget. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-features-of-circle/v/center-and-radius-of-circle-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-conics-intro/v/introduction-to-conic-sections?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Features of a circle from its graph | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/SLyM_-sQwMM/default.jpg URL=http://www.youtube.com/watch?v=SLyM_-sQwMM description=Given a circle on the coordinate plane, Sal finds its center and its radius. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-standard-equation-circle/v/radius-and-center-for-a-circle-equation-in-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-features-of-circle/v/graphing-circles-from-features?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing standard equation of a circle | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/iX5UgArMyiI/default.jpg URL=http://www.youtube.com/watch?v=iX5UgArMyiI description=Given a circle on the coordinate plane, Sal finds its standard equation, which is an equation in the form (x-a)²+(y-b)²=r². Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-expanded-equation-circle/v/completing-the-square-to-write-equation-in-standard-form-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-standard-equation-circle/v/graphing-a-circle-from-standard-equation?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing a circle from its standard equation | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/thDrJvWNI8M/default.jpg URL=http://www.youtube.com/watch?v=thDrJvWNI8M description=Sal graphs the circle whose equation is (x+5)²+(y-5)²=4. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-standard-equation-circle/v/writing-standard-equation-of-circle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-conics/math2-standard-equation-circle/v/radius-and-center-for-a-circle-equation-in-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Periodicity of algebraic models | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/zHS9ZVXw_Z0/default.jpg URL=http://www.youtube.com/watch?v=zHS9ZVXw_Z0 description=Sal analyzes the periodicity of graphs that model real world situations. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-comparing-func-features/v/comparing-features-of-functions-2-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-end-behavior-of-models/v/end-behavior-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=End behavior of algebraic models | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/kmzBGnniH2w/default.jpg URL=http://www.youtube.com/watch?v=kmzBGnniH2w description=Sal analyzes the end behavior of graphs that model real world situations. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-periodicity-of-models/v/periodicity-of-algebraic-models?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-symmetry-of-models/v/interpreting-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting equations graphically | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/LyVqwJkI5jg/default.jpg URL=http://www.youtube.com/watch?v=LyVqwJkI5jg description=Sal interprets the intersection point of the graphs of functions f and g as the solution of the equation f(x)=g(x). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-solving-eq-by-graphing/v/interpreting-equations-graphically-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-comparing-func-features/v/comparing-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting equations graphically (example 2) | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/R446VpTeOU8/default.jpg URL=http://www.youtube.com/watch?v=R446VpTeOU8 description=Sal finds the coordinates of points on a graph that are solutions to a given equation. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-solving-eq-by-graphing/v/estimating-a-solution-to-nonlinear-system-with-calculator?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-eq-functions/math3-solving-eq-by-graphing/v/interpreting-equations-graphically-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential model word problem: medication dissolve | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/HnHCQ2X_meg/default.jpg URL=http://www.youtube.com/watch?v=HnHCQ2X_meg description=Sal solves an exponential equation in order to answer a question about an exponential model. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-models/v/solving-exponential-model-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-eq/v/solve-exponentials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential model word problem: bacteria growth | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/IpXL9HIkqUQ/default.jpg URL=http://www.youtube.com/watch?v=IpXL9HIkqUQ description=Sal evaluates an exponential function at a specific value in order to answer a question about an exponential model. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-func-graphs/v/transforming-exponential-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-exponential-models/v/solving-exponential-model-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using the logarithm change of base rule | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/qtsMgdZ98Yg/default.jpg URL=http://www.youtube.com/watch?v=qtsMgdZ98Yg description=Sal rewrites logarithmic expressions like 1/(logₐ4) or logₐ(16)*log₂(a) using the change of base rule. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-log-change-of-base/v/change-of-base-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-exp-log/math3-log-change-of-base/v/change-of-base-formula?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear vs. exponential growth: from data | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/721RrH6auoU/default.jpg URL=http://www.youtube.com/watch?v=721RrH6auoU description=Sal constructs functions that model the growth of trees over time. To do that, he identifies which growth is linear and which is exponential. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-linear-vs-exponential/v/exponential-model-from-data?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-rate-advanced/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear vs. exponential growth: from data (example 2) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/edwZDu94wNs/default.jpg URL=http://www.youtube.com/watch?v=edwZDu94wNs description=Sal constructs a function that models cooling water. To do that, he decides whether the function is linear or exponential. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-modeling/math2-one-var-modeling/v/making-more-pizzas-to-spread-cost-per-pizza?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-linear-vs-exponential/v/linear-and-exponential-growth-from-data?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting change in exponential models: changing units | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/SM6XZj5dPQQ/default.jpg URL=http://www.youtube.com/watch?v=SM6XZj5dPQQ description=Sal analyzes the rate of change of various exponential models for different time units by manipulating the functions that model the situations. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-rate-advanced/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-rate-advanced/v/interpreting-change-in-exponential-models-with-manipulation?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting change in exponential models: with manipulation | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/q20v5ZBsTk8/default.jpg URL=http://www.youtube.com/watch?v=q20v5ZBsTk8 description=Sal analyzes the rate of change of various exponential models, where the function that models the situation needs some manipulation. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-rate-advanced/v/interpreting-change-in-exponential-models-changing-units?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-construct-exponential-models/v/decay-of-cesium-137-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting time in exponential models | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/zFksanIexHI/default.jpg URL=http://www.youtube.com/watch?v=zFksanIexHI description=Sal finds the time interval over which a quantity changes by a given factor in various exponential models. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-construct-exponential-models/v/constructing-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-interpreting-exponential-rate/v/interpreting-change-in-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting change in exponential models | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/uoN_Ax3dfQo/default.jpg URL=http://www.youtube.com/watch?v=uoN_Ax3dfQo description=Sal finds the factor by which a quantity changes over a single time unit in various exponential models. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-interpreting-exponential-rate/v/interpreting-time-in-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-rate/v/word-problem-solving-exponential-growth-and-decay?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving exponential equations using exponent properties (advanced) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/mGSn-qR6k-g/default.jpg URL=http://www.youtube.com/watch?v=mGSn-qR6k-g description=Sal solves equations like 32^(x/3) = 8^(x-12) and 5^(4x+3) / 25^(9-x) = 5^(2x+5). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-rate/v/word-problem-solving-exponential-growth-and-decay?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-eq/v/solving-exponential-equations-with-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving exponential equations using exponent properties | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/etl9KKf6se0/default.jpg URL=http://www.youtube.com/watch?v=etl9KKf6se0 description=Sal solves equations like 26^(9x+5) = 1 and 2^(3x+5) = 64^(x-7). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-exponential-eq/v/solving-exponential-equations-with-exponent-properties-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-exponential-growth/math2-equivalent-exponential-exp/v/rewriting-an-exponential-expression-in-a-hairier-way?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Even & odd polynomials | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/bOsNS3FsCPs/default.jpg URL=http://www.youtube.com/watch?v=bOsNS3FsCPs description=Sal analyzes three different polynomials to see if they are even, odd, or neither. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-polynomials-zeros-and-graphs/v/identifying-graph-based-on-roots?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-func-symmetry/v/connection-between-even-and-odd-numbers-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding & subtracting rational expressions: like denominators | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/rmYlCuiC5uY/default.jpg URL=http://www.youtube.com/watch?v=rmYlCuiC5uY description=Sal adds 6/(2x²-7) + (-3x-8)/(2x²-7) and subtracts (9x²+3)/(14x²-9) - (-3x²+5)/(14x²-9). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-add-sub-rational-exp/v/algebraic-expression-adding-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-mul-div-rational-exp/v/dividing-rational-expressions-w-unknown-expression?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying & dividing rational expressions: monomials | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/6nALFmvvgds/default.jpg URL=http://www.youtube.com/watch?v=6nALFmvvgds description=Sal multiplies (6x³/5) X (2/3x) and divides (2x⁴/7) ➗ (5x⁴/4). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-mul-div-rational-exp/v/multiplying-and-dividing-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-rational-exp-eq-func/math3-simplify-rational-exp/v/dividing-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Extraneous solutions of radical equations (example 2) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/HRVrbJzXxdM/default.jpg URL=http://www.youtube.com/watch?v=HRVrbJzXxdM description=Sal finds the value of d for which √(3x+25)=d+2x has an extraneous solution at x=-3. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-cube-root-eq/v/solving-radical-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-extraneous-solutions/v/extraneous-solutions-of-radical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Extraneous solutions of radical equations | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/m4eiYHL3PP8/default.jpg URL=http://www.youtube.com/watch?v=m4eiYHL3PP8 description=Sal gives an example of how an extraneous solution arises when solving 2x-1=√(8-x). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-extraneous-solutions/v/finding-radical-equation-with-given-extraneous-solution?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-radical-eq-func/math3-square-root-eq/v/solving-square-root-equations-w-no-solution?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing positive and negative intervals of polynomials thumb=https://i.ytimg.com/vi/b0MWwhxpIeU/default.jpg URL=http://www.youtube.com/watch?v=b0MWwhxpIeU description=Analyzing positive and negative intervals of polynomials/description type=video name=Finding zeros of polynomials (example 2) | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/9zreFD3T0qY/default.jpg URL=http://www.youtube.com/watch?v=9zreFD3T0qY description=Sal finds all the zeros (which is the same as the roots) of p(x)=(3x⁴-8x³+15x-40)(3x-8)². Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-polynomials-zeros-and-graphs/v/identifying-graph-based-on-roots?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-polynomials-zeros/v/finding-roots-or-zeros-of-polynomial-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding zeros of polynomials (1 of 2) | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/x9lb_frpkH0/default.jpg URL=http://www.youtube.com/watch?v=x9lb_frpkH0 description=Sal finds all the zeros (which is the same as the roots) of p(x)=x⁵+9x³-2x³-18x=0. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-polynomials-zeros/v/finding-roots-or-zeros-of-polynomial-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-fundamental-theorem-alg/v/possible-real-roots?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding zeros of polynomials (2 of 2) | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/HJgjAZ7JkHQ/default.jpg URL=http://www.youtube.com/watch?v=HJgjAZ7JkHQ description=Sal uses an alternative method to find the zeros of p(x)=x⁵+9x³-2x³-18x=0. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-polynomials-zeros/v/finding-roots-or-zeros-of-polynomial-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-polynomials/math3-polynomials-zeros/v/finding-roots-or-zeros-of-polynomial-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining if a function is invertible | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/dqCTAHHza10/default.jpg URL=http://www.youtube.com/watch?v=dqCTAHHza10 description=Sal analyzes the mapping diagram of a function to see if the function is invertible. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-invertible-func/v/restricting-trig-function-domain?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-verifying-inverses/v/composing-non-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Verifying inverse functions by composition: not inverse | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/PJIL0kRHND0/default.jpg URL=http://www.youtube.com/watch?v=PJIL0kRHND0 description=Sal composes f(x)=2x-3 and g(x)=½x+3, and finds that f(g(x)) ≠ g(f(x)) ≠ x, which means the functions are not inverses. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-invertible-func/v/determining-if-a-function-is-invertible?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-verifying-inverses/v/verifying-function-inverses-by-composition?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Verifying inverse functions by composition | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/8GEGnSEJA2s/default.jpg URL=http://www.youtube.com/watch?v=8GEGnSEJA2s description=Sal composes f(x)=(x+7)³-1 and g(x)=∛(x+1)-7, and finds that f(g(x))=g(f(x))=x, which means the functions are inverses! Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-verifying-inverses/v/composing-non-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-finding-inverse-func/v/finding-inverse-functions-rational?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating composite functions: using graphs | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/oORnGaJp1pk/default.jpg URL=http://www.youtube.com/watch?v=oORnGaJp1pk description=Given the graphs of the functions f and g, Sal evaluates g(f(-5)). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-composing-func/v/new-function-from-composition?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-composing-func/v/evaluating-composite-functions-using-tables?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating composite functions: using tables | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/FR8JH6IldsE/default.jpg URL=http://www.youtube.com/watch?v=FR8JH6IldsE description=Given tables of values of the functions f and g, Sal evaluates f(g(0)) and g(f(0)). Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-composing-func/v/evaluating-composite-functions-using-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-manipulating-func/math3-composing-func/v/evaluating-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Manipulating expressions using structure (example 2) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/DF5MkPVjnCc/default.jpg URL=http://www.youtube.com/watch?v=DF5MkPVjnCc description=Given that a+b=2a, Sal finds an expression equivalent to b-a. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-possible-number-of-solutions-of-systems-of-linear-equations/v/inconsistent-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-manipulating-expressions-with-unknown-variables/v/manipulating-expressions-with-unknown-variables-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Manipulating expressions using structure | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ZYn8MhrwHr4/default.jpg URL=http://www.youtube.com/watch?v=ZYn8MhrwHr4 description=Given that a+b=0, Sal finds an expression equivalent to a*b. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-manipulating-expressions-with-unknown-variables/v/manipulating-expressions-with-unknown-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-solving-systems-of-equations-with-substitution/v/practice-using-substitution-for-systems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing graphs of exponential functions: negative initial value | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/No1LKevjF6U/default.jpg URL=http://www.youtube.com/watch?v=No1LKevjF6U description=Given the graph of an exponential function with a negative initial value, Sal finds the formula of the function and solves an equation. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-constructing-basic-exponential-models/v/modeling-ticket-fines-with-exponential-function?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-interpreting-graphs-and-tables-of-basic-exponential-functions/v/analyzing-graph-of-exponential-function?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing graphs of exponential functions | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/fe1Hsqyetzk/default.jpg URL=http://www.youtube.com/watch?v=fe1Hsqyetzk description=Given the graph of an exponential function, Sal finds the formula of the function and a value that is outside the graph. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-interpreting-graphs-and-tables-of-basic-exponential-functions/v/analyzing-exponential-graph-with-negative-initial-value?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-interpreting-graphs-and-tables-of-basic-exponential-functions/v/analyzing-tables-of-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing tables of exponential functions | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/yOqhKOicqhU/default.jpg URL=http://www.youtube.com/watch?v=yOqhKOicqhU description=Sal is given a table of values of an exponential function and he analyzes it in order to find the common ratio and the initial value. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-interpreting-graphs-and-tables-of-basic-exponential-functions/v/analyzing-graph-of-exponential-function?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-interpreting-formulas-of-basic-exponential-functions/v/initial-value-and-common-ratio-of-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Initial value & common ratio of exponential functions | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/G2WybA4Hf7Y/default.jpg URL=http://www.youtube.com/watch?v=G2WybA4Hf7Y description=Get comfortable with the basic ingredients of exponential functions: the Initial value and the common ratio. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-interpreting-graphs-and-tables-of-basic-exponential-functions/v/analyzing-tables-of-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-exponential-func/math1-graphs-of-basic-exponential-functions/v/graphing-basic-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving exponent equation using exponent properties thumb=https://i.ytimg.com/vi/95KX0dNZXAA/default.jpg URL=http://www.youtube.com/watch?v=95KX0dNZXAA description=Solving exponent equation using exponent properties/description type=video name=Simplifying quotient of powers (rational exponents) | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/0z-yIFzpunM/default.jpg URL=http://www.youtube.com/watch?v=0z-yIFzpunM description=Sal simplifies the expression m^(7/9) / m^(1/3) as a single exponential term m^(4/9). Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals/rational-exponents-and-the-properties-of-exponents/v/fractional-exponent-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-exponents-and-radicals/rational-exponents-intro/v/solving-for-a-fractional-exponent?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating quotient of fractional exponents | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/KGSvigZQKZY/default.jpg URL=http://www.youtube.com/watch?v=KGSvigZQKZY description=Sal simplifies the complicated expression 256^(4/7) / 2^(4/7) until he finds that the expression is equal to 16. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-rational-exp-eval/v/simplifying-with-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-rational-exp-eval/v/negative-fractional-exponent-examples-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rewriting square root of fraction thumb=https://i.ytimg.com/vi/s9ppnjgmiyk/default.jpg URL=http://www.youtube.com/watch?v=s9ppnjgmiyk description=Rewriting square root of fraction/description type=video name=Solving quadratics using structure | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ZIqW_sXymrM/default.jpg URL=http://www.youtube.com/watch?v=ZIqW_sXymrM description=Sal solves (2x-3)^2=4x-6 by substituting p for 2x-3 and obtaining the simpler equation p^2=2p. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratic-eq-factoring/v/example-4-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-quadratics/math2-quadratic-eq-factoring/v/solving-quadratics-by-dividing-and-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Time dilation | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/2BVGig1LXLs/default.jpg URL=http://www.youtube.com/watch?v=2BVGig1LXLs description=We'll start thinking about time dilation in special relativity and how a Loedel diagram can help up appreciate symmetry between inertial frames. Watch the next lesson: https://www.khanacademy.org/science/physics/discoveries/magnetism/v/discovery-of-magnetism?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/calculating-neutral-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Irregular plural nouns | the MUTANT PLURALS | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/VdLOP9teko4/default.jpg URL=http://www.youtube.com/watch?v=VdLOP9teko4 description=English has seven words that behave very strangely when you change them from the singular to the plural. These are called THE MUTANT PLURALS of English. They're super cool. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/irregular-plural-nouns--mutant-plurals?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/foreign-plurals-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plurals-the-base-plural?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=BONUS VIDEO |– Origin of the Mutant Plural | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/c3FoTqLB9zg/default.jpg URL=http://www.youtube.com/watch?v=c3FoTqLB9zg description=Why does "goose" become "geese" and "foot" become "feet"? David the Grammarian and Jake the Linguist explain. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/irregular-plural-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/concrete-and-abstract-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/foreign-plurals-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Concrete and abstract nouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/3AF_rN-yN-Y/default.jpg URL=http://www.youtube.com/watch?v=3AF_rN-yN-Y description=The difference between concrete and abstract nouns can be a little fuzzy. Let's start by focusing on the word origins of "concrete" and "abstract", and see if that gives us a way in. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/abstract-and-concrete-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-verbs/v/introduction-to-verbs-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/bonus-video-origin-of-the-mutant-plural-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Irregular plural nouns |– base plurals | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/UnJmPywSSvg/default.jpg URL=http://www.youtube.com/watch?v=UnJmPywSSvg description=Some nouns look the same whether they're singular or plural – these nouns are called "base plurals", and we'll demonstrate how they behave the only way I know how... by using sheep! Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/irregular-plural-nouns--the-base-plural?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plural-nouns-part-iv-the-parts-of-speech-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plural-nouns-part-ii-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Common and proper nouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/bGz1acC3Wew/default.jpg URL=http://www.youtube.com/watch?v=bGz1acC3Wew description=What's the difference between a common noun and a proper noun? Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/common-and-proper-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plural-nouns-part-i-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/introduction-to-singular-and-plural-nouns-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding an in-between frame of reference | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Biua3BgRf54/default.jpg URL=http://www.youtube.com/watch?v=Biua3BgRf54 description=Let's use Einstein velocity addition to find a frame of reference where A and B are traveling in opposite directions at the same speed. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/calculating-neutral-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/applying-einstein-velocity-addition?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating neutral velocity | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/iTyBlnTK2ac/default.jpg URL=http://www.youtube.com/watch?v=iTyBlnTK2ac description=Let's now do the math to calculate the equal speed at which both A and B could be traveling away from a "neutral" observer. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/time-dilation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/finding-an-in-between-frame-of-reference?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Einstein velocity addition formula derivation | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/F9BW57exRn8/default.jpg URL=http://www.youtube.com/watch?v=F9BW57exRn8 description=Einstein velocity addition formula derivation. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/applying-einstein-velocity-addition?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/lorentz-transformation-for-change-in-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying Einstein velocity addition | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/0XkyAPXq55k/default.jpg URL=http://www.youtube.com/watch?v=0XkyAPXq55k description=Applying Einstein velocity addition. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/finding-an-in-between-frame-of-reference?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/einstein-velocity-addition-formula-derivation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lorentz transformation for change in coordinates | Physics | Khan Academy thumb=https://i.ytimg.com/vi/1F1tFouUGTU/default.jpg URL=http://www.youtube.com/watch?v=1F1tFouUGTU description=Lorentz transformation for change in coordinates. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/einstein-velocity-addition-formula-derivation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/lorentz-transformation-derivation-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Origins of the Cold War thumb=https://i.ytimg.com/vi/BlFjNf4f0mE/default.jpg URL=http://www.youtube.com/watch?v=BlFjNf4f0mE description=KA's US History fellow Kim Kutz and Grammar fellow David Rheinstrom discuss the atmosphere in Europe after World War II that led to the start of the Cold War./description type=video name=Irregular plural nouns |– -f to -ves | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/2bx7yjLC01M/default.jpg URL=http://www.youtube.com/watch?v=2bx7yjLC01M description=The plural of "dog" is "dogs", but what is the plural of "leaf"? Khan Academy's resident grammarian explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/irregular-plural-nouns--f-to--ves?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plural-nouns-part-ii-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/common-and-proper-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Irregular plural nouns |– words that end in -en | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/n9poHOKkF28/default.jpg URL=http://www.youtube.com/watch?v=n9poHOKkF28 description=The plural of "whale" is "whales", but what's the plural of "child"? David, Khan Academy's resident grammarian, explains. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/irregular-plural-nouns---en?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plurals-the-base-plural?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/irregular-plural-nouns-part-i-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to singular and plural nouns | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/ETzngG8N3AU/default.jpg URL=http://www.youtube.com/watch?v=ETzngG8N3AU description=Learn the difference between singular and plural nouns. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/plural-and-singular-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/common-and-proper-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/introduction-to-nouns-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to nouns | The parts of speech | Grammar | Khan Academy thumb=https://i.ytimg.com/vi/UejW-WQpujs/default.jpg URL=http://www.youtube.com/watch?v=UejW-WQpujs description=Meet the most common English part of speech: the noun. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/e/identifying-nouns?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Watch the next lesson: https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/introduction-to-singular-and-plural-nouns-the-parts-of-speech-grammar-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Missed the previous lesson? https://www.khanacademy.org/humanities/grammar/partsofspeech/grammar-nouns/v/introduction-to-grammar?utm_source=YT&utm_medium=Desc&utm_campaign=grammar Grammar on Khan Academy: Grammar is the collection of rules and conventions that make languages go. This section is about Standard American English, but there's something here for everyone. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Grammar channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lorentz transformation derivation part 3 | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/xb8nBY4MDC8/default.jpg URL=http://www.youtube.com/watch?v=xb8nBY4MDC8 description=Finishing our Lorentz transformation derivation for t'. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/einstein-velocity-addition/v/lorentz-transformation-for-change-in-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/deriving-lorentz-transformation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lorentz transformation derivation part 1 | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/_qiFIMviIeM/default.jpg URL=http://www.youtube.com/watch?v=_qiFIMviIeM description=Using symmetry of frames of reference and the absolute velocity of the speed of light (regardless of frame of reference) to begin to solve for the Lorentz factor. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/deriving-lorentz-transformation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/algebraically-manipulating-lorentz-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deriving Lorentz transformation part 2 | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Lm_Yn_MZU6k/default.jpg URL=http://www.youtube.com/watch?v=Lm_Yn_MZU6k description=Continuing the algebra to solve for the Lorentz factor. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/lorentz-transformation-derivation-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/lorentz-transformation-derivation-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebraically manipulating Lorentz transformation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Z9DuKef9jkw/default.jpg URL=http://www.youtube.com/watch?v=Z9DuKef9jkw description=The forms in which we've introduced the Lorentz transformations are really nice in that they reveal the symmetry of the two axes of spacetime. But there are other representations: some are just more common in practical use, while others reveal other interesting similarities with classical mechanics! Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/lorentz-transformation-derivation-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/evaluating-a-lorentz-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating a Lorentz transformation | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/G-aTU0RXJww/default.jpg URL=http://www.youtube.com/watch?v=G-aTU0RXJww description=We'll consider an example of the Lorentz transformation with actual numbers, and analyze the results we get. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/algebraically-manipulating-lorentz-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/introduction-to-the-lorentz-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the Lorentz transformation | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/HIQ5hnm61LQ/default.jpg URL=http://www.youtube.com/watch?v=HIQ5hnm61LQ description=So we've got two coordinate systems from the perspectives of two observers. How can we convert spacetime coordinates between these? Enter the Lorentz transformation! Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/evaluating-a-lorentz-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/angle-of-x-axis-in-minkowski-spacetime?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle of x' axis in Minkowski spacetime | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/qzNokxFaAAg/default.jpg URL=http://www.youtube.com/watch?v=qzNokxFaAAg description=As counterintuitive as it might sound, it will become extremely convenient to use the same units for space and time. Happily, we can do that just by multiplying the time axis by c, the speed of light. Here's how. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/lorentz-transformation/v/introduction-to-the-lorentz-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/introduction-to-special-relativity-and-minkowski-spacetime-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring time in meters in Minkowski spacetime | Physics | Khan Academy thumb=https://i.ytimg.com/vi/nEqexIckVCM/default.jpg URL=http://www.youtube.com/watch?v=nEqexIckVCM description=As counterintuitive as it might sound, it will become extremely convenient to use the same units for space and time. Happily, we can do that just by multiplying the time axis by c, the speed of light. Here's how. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/angle-of-x-axis-in-minkowski-spacetime?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/introduction-to-special-relativity-and-minkowski-spacetime-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to special relativity and Minkowski spacetime diagrams | Khan Academy thumb=https://i.ytimg.com/vi/ii-KBKSODek/default.jpg URL=http://www.youtube.com/watch?v=ii-KBKSODek description=Including multiple observers in the "most obvious" way led to some problems. Let's see how we can start to solve those problems by introducing (what we'll later call) Minkowski spacetime diagrams. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/measuring-time-in-meters-in-minkowski-spacetime?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/galilean-transformation-and-contradictions-with-light?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Galilean transformation and contradictions with light | Physics | Khan Academy thumb=https://i.ytimg.com/vi/OIwp8m3S30c/default.jpg URL=http://www.youtube.com/watch?v=OIwp8m3S30c description=Here we'll see how classical physics predicts scenarios that disagree with what we observe in nature. Something's got to give…. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/introduction-to-special-relativity-and-minkowski-spacetime-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/visualizing-multiple-newtonian-space-time-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing multiple Newtonian path–time diagrams | Physics | Khan Academy thumb=https://i.ytimg.com/vi/F7BU1sXtul4/default.jpg URL=http://www.youtube.com/watch?v=F7BU1sXtul4 description=Now that we know what path–time diagrams are, let's see what happens when we bring along a friend! Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/galilean-transformation-and-contradictions-with-light?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/starting-to-set-up-a-newtonian-space-time-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Starting to set up a Newtonian path–time diagram | Physics | Khan Academy thumb=https://i.ytimg.com/vi/PRx_R9iIWk4/default.jpg URL=http://www.youtube.com/watch?v=PRx_R9iIWk4 description=We introduce a graph that's a lot like your good old position-vs-time graph—but with a twist! Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/visualizing-multiple-newtonian-space-time-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/michelson-and-morleys-luminiferous-ether-experiment/v/michelson-morley-experiment-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Correlation coefficient intuition | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/-Y-M9aD_ccQ/default.jpg URL=http://www.youtube.com/watch?v=-Y-M9aD_ccQ description=Sal explains the intuition behind correlation coefficients and does a problem where he matches correlation coefficients to scatter plots. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-scatterplots/math1-creating-scatterplots/v/correlation-and-causality?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-scatterplots/math1-creating-scatterplots/v/scatter-plot-interpreting?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ordering triangle sides and angles thumb=https://i.ytimg.com/vi/I5eTOBsvUK8/default.jpg URL=http://www.youtube.com/watch?v=I5eTOBsvUK8 description=Ordering triangle sides and angles/description type=video name=Vector components from magnitude and direction thumb=https://i.ytimg.com/vi/MkFbisCyjFc/default.jpg URL=http://www.youtube.com/watch?v=MkFbisCyjFc description=Vector components from magnitude and direction/description type=video name=Angles of vectors from components thumb=https://i.ytimg.com/vi/A3OuFLHum6w/default.jpg URL=http://www.youtube.com/watch?v=A3OuFLHum6w description=Angles of vectors from components/description type=video name=More examples finding vector angles thumb=https://i.ytimg.com/vi/EX0Ha42WQ24/default.jpg URL=http://www.youtube.com/watch?v=EX0Ha42WQ24 description=More examples finding vector angles/description type=video name=Combined vector operations example thumb=https://i.ytimg.com/vi/TdhbEonaHrc/default.jpg URL=http://www.youtube.com/watch?v=TdhbEonaHrc description=Combined vector operations example/description type=video name=Visually adding and subtracting vectors thumb=https://i.ytimg.com/vi/BsBH8nAv5l4/default.jpg URL=http://www.youtube.com/watch?v=BsBH8nAv5l4 description=Visually adding and subtracting vectors/description type=video name=Adding and subtracting vectors thumb=https://i.ytimg.com/vi/VgqsM-XdBD0/default.jpg URL=http://www.youtube.com/watch?v=VgqsM-XdBD0 description=Adding and subtracting vectors/description type=video name=Examples from understanding scalar multiplication exercise thumb=https://i.ytimg.com/vi/kLLsJXc1E1E/default.jpg URL=http://www.youtube.com/watch?v=kLLsJXc1E1E description=Examples from understanding scalar multiplication exercise/description type=video name=Understanding multiplying vectors by scalars thumb=https://i.ytimg.com/vi/JuTvjQgpUMQ/default.jpg URL=http://www.youtube.com/watch?v=JuTvjQgpUMQ description=Understanding multiplying vectors by scalars/description type=video name=Finding vector magnitude from components thumb=https://i.ytimg.com/vi/qMZnsj4ZO9g/default.jpg URL=http://www.youtube.com/watch?v=qMZnsj4ZO9g description=Finding vector magnitude from components/description type=video name=Example calcuating magnitude of vector from graph thumb=https://i.ytimg.com/vi/-U53eHKCLcg/default.jpg URL=http://www.youtube.com/watch?v=-U53eHKCLcg description=Example calcuating magnitude of vector from graph/description type=video name=Equivalent vectors examples thumb=https://i.ytimg.com/vi/v_W-aaB1irs/default.jpg URL=http://www.youtube.com/watch?v=v_W-aaB1irs description=Equivalent vectors examples/description type=video name=Example finding components of a vector thumb=https://i.ytimg.com/vi/BmDph4uNfPI/default.jpg URL=http://www.youtube.com/watch?v=BmDph4uNfPI description=Example finding components of a vector/description type=video name=Example comparing x components of vectors thumb=https://i.ytimg.com/vi/v7ZZ1ctT1k0/default.jpg URL=http://www.youtube.com/watch?v=v7ZZ1ctT1k0 description=Example comparing x components of vectors/description type=video name=Finite geometric series formula justification | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Cf0-6ngH2gs/default.jpg URL=http://www.youtube.com/watch?v=Cf0-6ngH2gs description=The finite geometric series formula is a(1-rⁿ)/(1-r). In this video, Sal gives a pretty neat justification as to why the formula works. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-geo-series-app/v/geometric-series-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-geo-series/v/three-examples-of-evaluating-finite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: arithmetic series (recursive formula) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/pIO34mrW_Ro/default.jpg URL=http://www.youtube.com/watch?v=pIO34mrW_Ro description=Sal evaluates the sum of the first 650 terms in the sequence defined recursively as {aᵢ=aᵢ₋₁+11, a₁=4}. He does that by finding the 650th term and using the arithmetic series formula (a₁+aₙ)*n/2. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-arithmetic-series/v/alternate-proof-to-induction-for-integer-sum?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-arithmetic-series/v/evaluating-arithmetic-sum-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: arithmetic series (sum expression) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/0-wa7voc0uM/default.jpg URL=http://www.youtube.com/watch?v=0-wa7voc0uM description=Sal evaluates the arithmetic sum (-50)+(-44)+(-38)+...+2044. He does that by finding the number of terms and using the arithmetic series formula (a₁+aₙ)*n/2. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-arithmetic-series/v/finding-sum-from-recursive-definition-of-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-arithmetic-series/v/evaluating-finite-arithmetic-series?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: arithmetic series (sigma notation) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/RM644gFKo_g/default.jpg URL=http://www.youtube.com/watch?v=RM644gFKo_g description=Sal evaluates the arithmetic series Σ(2k+50) for k=1 to 550. He does that using the arithmetic series formula (a₁+aₙ)*n/2. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-arithmetic-series/v/evaluating-arithmetic-sum-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-arithmetic-series/v/sum-of-arithmetic-sequence-arithmetic-series?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a circle intuition | High School Geometry | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/a2L27dTOyHk/default.jpg URL=http://www.youtube.com/watch?v=a2L27dTOyHk description=Using triangles to create an informal argument for the area of a circle formula. Watch the next lesson: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/nets-of-polyhedra?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/finding-radius-and-diameter-from-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radius & diameter from circumference | High School Geometry | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/yWGeFDXgQvg/default.jpg URL=http://www.youtube.com/watch?v=yWGeFDXgQvg description=Sal finds the radius and diameter of a circle given the circumference. Watch the next lesson: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/informal-argument-for-the-area-of-circle-formula?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/area-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tangents of circles problem (example 1) | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/8vFhNhL-zm8/default.jpg URL=http://www.youtube.com/watch?v=8vFhNhL-zm8 description=Sal proves that two tangent segments to a circle that are drawn from the same outside point are congruent. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-tangents/v/tangents-of-circles-exercise-examples?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-tangents/v/proving-radius-is-perpendicular-to-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Segments tangent to circle from outside point are congruent | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/pJABplruJIU/default.jpg URL=http://www.youtube.com/watch?v=pJABplruJIU description=Sal proves that two tangent segments to a circle that are drawn from the same outside point are congruent. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-tangents/v/tangents-of-circles-exercise-examples?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-tangents/v/proving-radius-is-perpendicular-to-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hypotenuse leg congruence thumb=https://i.ytimg.com/vi/8poW-IcyU48/default.jpg URL=http://www.youtube.com/watch?v=8poW-IcyU48 description=Hypotenuse leg congruence/description type=video name=Proof: Radius is perpendicular to tangent line | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/St3MU5i3chc/default.jpg URL=http://www.youtube.com/watch?v=St3MU5i3chc description=Sal proves that the radius that connects the intersection point of a tangent line with the circle is perpendicular to the tangent line. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-tangents/v/segments-tangent-to-circle-from-outside-point-congruent?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/example-showing-supplementary-oppositie-angles-in-inscribed-quadrilateral?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Noble gas configuration | Electronic structure of atoms | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/tlSJCG5DqzI/default.jpg URL=http://www.youtube.com/watch?v=tlSJCG5DqzI description=How to write electron configurations for atoms and monatomic ions using noble gas configuration. Watch the next lesson: https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms/electron-configurations-jay-sal/v/electron-configurations-2?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms/electron-configurations-jay-sal/v/more-on-orbitals-and-electron-configuration?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inscribed quadrilaterals proof | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/LGnL17ESs3Q/default.jpg URL=http://www.youtube.com/watch?v=LGnL17ESs3Q description=Sal uses the inscribed angle theorem and some algebra to prove that opposite angles of an inscribed quadrilateral are supplementary. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/example-showing-supplementary-oppositie-angles-in-inscribed-quadrilateral?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/finding-inscribed-angle-measure?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving inscribed quadrilaterals | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Y9cznjBl0Hk/default.jpg URL=http://www.youtube.com/watch?v=Y9cznjBl0Hk description=Example showing supplementary oppositie angles in inscribed quadrilateral. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-tangents/v/proving-radius-is-perpendicular-to-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/proving-the-opposite-angles-of-inscribed-quadrilateral-are-supplementary?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inscribed shapes: find inscribed angle | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/h-_BDon5oes/default.jpg URL=http://www.youtube.com/watch?v=h-_BDon5oes description=Using either the inscribed angle theorem or the fact that two inscribed angles that intercept the same arc must be congruent. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/proving-the-opposite-angles-of-inscribed-quadrilateral-are-supplementary?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/solving-for-unknown-angle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inscribed shapes: angle subtended by diameter | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/pCLGpRaJfJ8/default.jpg URL=http://www.youtube.com/watch?v=pCLGpRaJfJ8 description=One method using an inscribed angle intercepting a diameter of a circle. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/finding-inscribed-angle-measure?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/hypotenuse-of-right-triangle-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding arc measures with equations | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/bsDu8VQKwxA/default.jpg URL=http://www.youtube.com/watch?v=bsDu8VQKwxA description=Sal solves a few items where arc measures are given in equations, we have to find a variable, then use it to find an arc measure. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-arc-length-deg/v/length-of-an-arc-that-subtends-a-central-angle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-arc-measures/v/arc-measure-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding arc measures | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/GOA9XWEo7QI/default.jpg URL=http://www.youtube.com/watch?v=GOA9XWEo7QI description=Watch Sal solve a few problems where he finds a missing arc measure. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-arc-measures/v/arc-measure-with-equations-examples?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-arc-measures/v/intro-arc-measure?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to arc measure | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/_H4jllna_ec/default.jpg URL=http://www.youtube.com/watch?v=_H4jllna_ec description=Sal introduces arc measure including that they must sum to 360, conventions of minor and major arcs, and a comparison to arc length. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-arc-measures/v/arc-measure-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-circle-basics/v/seeing-circle-similarity-through-translation-and-dilation?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inscribed angles | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/aNi1-zeEps8/default.jpg URL=http://www.youtube.com/watch?v=aNi1-zeEps8 description=Sal finds a missing inscribed angle using the inscribed angle theorem. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-angles/v/inscribed-and-central-angles?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-sectors/v/area-of-a-sector-given-a-central-angle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: all circles are similar | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/tcQjJssEMgo/default.jpg URL=http://www.youtube.com/watch?v=tcQjJssEMgo description=Watch Sal informally prove that all circles are similar by showing how we can translate then dilate any circle onto another. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-arc-measures/v/intro-arc-measure?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-circle-basics/v/circles-radius-diameter-and-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing a resistor circuit with two batteries | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/j-iR7puLj6M/default.jpg URL=http://www.youtube.com/watch?v=j-iR7puLj6M description=An example of simplifying a seemingly complicated resistor circuit. Created by Willy McAllister. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-kirchhoffs-current-law?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-resistor-circuits/v/ee-voltage-divider?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Khan on how you can support Khan Academy thumb=https://i.ytimg.com/vi/v_htr780t2Y/default.jpg URL=http://www.youtube.com/watch?v=v_htr780t2Y type=video name=Combining like terms with distribution thumb=https://i.ytimg.com/vi/5WLjj7Z0AP0/default.jpg URL=http://www.youtube.com/watch?v=5WLjj7Z0AP0 description=Combining like terms with distribution/description type=video name=Michelson–Morley Experiment introduction | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/3G_Q6AggQF8/default.jpg URL=http://www.youtube.com/watch?v=3G_Q6AggQF8 description=Simple idea behind the Michelson‒Morley experiment to detect ether wind. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/minkowski-spacetime-2016-01-18T22:56:14.718Z/v/starting-to-set-up-a-newtonian-space-time-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/michelson-and-morleys-luminiferous-ether-experiment/v/potential-ways-to-detect-an-ether-wind?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Potential ways to detect an ether wind | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/88hs5LcCoX4/default.jpg URL=http://www.youtube.com/watch?v=88hs5LcCoX4 description=Thinking about how Earth's relative velocity to hypothetical luminiferous ether can be used to detect ether. Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/michelson-and-morleys-luminiferous-ether-experiment/v/michelson-morley-experiment-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/special-relativity/michelson-and-morleys-luminiferous-ether-experiment/v/light-and-the-luminiferous-ether?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rutherford’s gold foil experiment | Electronic structure of atoms | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/bVlwH1kfDeg/default.jpg URL=http://www.youtube.com/watch?v=bVlwH1kfDeg description=Learn about Rutherford's discovery of the nucleus and the development of the nuclear model of the atom. Watch the next lesson: https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms/bohr-model-hydrogen/v/introduction-to-light?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms/history-of-atomic-structure/v/chem37-history-of-atomic-chemistry?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Light and the luminiferous ether | Special relativity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/iAPYsOaq-VY/default.jpg URL=http://www.youtube.com/watch?v=iAPYsOaq-VY description=If waves are disruptions traveling through a medium and light is a wave, what medium does it travel through? A luminiferous ether? Watch the next lesson: https://www.khanacademy.org/science/physics/special-relativity/michelson-and-morleys-luminiferous-ether-experiment/v/potential-ways-to-detect-an-ether-wind?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/diopters-aberration-and-the-human-eye?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cell signaling in yeast reproduction thumb=https://i.ytimg.com/vi/DJfNr8WoXW4/default.jpg URL=http://www.youtube.com/watch?v=DJfNr8WoXW4 description=Cell signaling in yeast reproduction/description type=video name=Example of signal transduction pathway thumb=https://i.ytimg.com/vi/i7z7f-wnews/default.jpg URL=http://www.youtube.com/watch?v=i7z7f-wnews description=Appreciating the complexity of signal transduction pathways by taking a look at the MAPK pathway./description type=video name=Introduction to nouns and verbs thumb=https://i.ytimg.com/vi/RmFDLCwePAo/default.jpg URL=http://www.youtube.com/watch?v=RmFDLCwePAo description=Basic introduction to nouns and verbs./description type=video name=Overview of cell signaling thumb=https://i.ytimg.com/vi/FQFBygnIONU/default.jpg URL=http://www.youtube.com/watch?v=FQFBygnIONU description=Overview of cell signaling. Autocrine, paracrine and endocrine signaling./description type=video name=Walk through of STEM content on KA thumb=https://i.ytimg.com/vi/Gq8_WC7y9iA/default.jpg URL=http://www.youtube.com/watch?v=Gq8_WC7y9iA description=Sal walks through how the different math and science subjects fit together in KA and suggests ways that self-learners can progress through the content./description type=video name=Faraday's Law for generating electricity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/mqIkaCXbjCw/default.jpg URL=http://www.youtube.com/watch?v=mqIkaCXbjCw description=How Faraday's Law is used to generate electricity in turbines. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/mechanical-waves/v/introduction-to-waves?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/emf-induced-in-rod-traveling-through-magnetic-field?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Emf induced in rod traveling through magnetic field | Physics | Khan Academy thumb=https://i.ytimg.com/vi/rqq11Id_x5E/default.jpg URL=http://www.youtube.com/watch?v=rqq11Id_x5E description=Emf induced in rod traveling through magnetic field. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-for-generating-electricity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Faraday's Law example | Physics | Khan Academy thumb=https://i.ytimg.com/vi/9q-T8o1HUcw/default.jpg URL=http://www.youtube.com/watch?v=9q-T8o1HUcw description=Example calculating induced current based on change in flux. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/emf-induced-in-rod-traveling-through-magnetic-field?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/lenzs-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lenz's Law | Magnetic forces, magnetic fields, and Faraday's law | Physics | Khan Academy thumb=https://i.ytimg.com/vi/xxZenoBs2Pg/default.jpg URL=http://www.youtube.com/watch?v=xxZenoBs2Pg description=Lenz's Law - seeing that the magnetic field induced by a current induced by a change in magnetic flux (Faraday's Law) counteracts the change in flux. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Faraday's Law Introduction | Physics | Khan Academy thumb=https://i.ytimg.com/vi/vcStzn55MG0/default.jpg URL=http://www.youtube.com/watch?v=vcStzn55MG0 description=How a current can be induced in a loop of wire by a change in magnetic flux. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/lenzs-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/flux-and-magnetic-flux?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Flux and magnetic flux thumb=https://i.ytimg.com/vi/m1PPujngqAw/default.jpg URL=http://www.youtube.com/watch?v=m1PPujngqAw description=Introduction and intuition for flux and magnetic flux./description type=video name=Plans for biology thumb=https://i.ytimg.com/vi/o9NZu-lIQHM/default.jpg URL=http://www.youtube.com/watch?v=o9NZu-lIQHM description=Plans for biology/description type=video name=Factoring perfect squares: missing values | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/oIslHyWJHEY/default.jpg URL=http://www.youtube.com/watch?v=oIslHyWJHEY description=Sal analyzes the factorization of x^2+5x+c as (x+d)^2 to find the values of the missing coefficients c and d. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/shared-binomial-factor-between-perfect-square-and-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/u09-l2-t1-we1-factoring-special-products-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring perfect squares: shared factors | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/6jZZ6EeE-j0/default.jpg URL=http://www.youtube.com/watch?v=6jZZ6EeE-j0 description=Sal finds the binomial factor shared by 4x^2+12x+9 and 4x^2-9. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-special-forms/v/factoring-special-products-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/solving-for-constants-in-perfect-square-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring perfect squares: common factor | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/BFW2lHobO4E/default.jpg URL=http://www.youtube.com/watch?v=BFW2lHobO4E description=Sal factors 16x^3+24x^2+9x as (x)(4x+3)^2. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/u09-l2-t1-we1-factoring-special-products-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/identifying-perfect-square-trinomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying perfect square form | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/4STGvuoBi5U/default.jpg URL=http://www.youtube.com/watch?v=4STGvuoBi5U description=Sal shows how we can identify that a trinomial has the "perfect square" form. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/factoring-perfect-square-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/factoring-perfect-square-trinomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring difference of squares: shared factors | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/xYQR2LNZLeU/default.jpg URL=http://www.youtube.com/watch?v=xYQR2LNZLeU description=Sal finds the binomial factor shared by m^2-4m-45 and 6m^2-150. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-perfect-squares/v/perfect-square-factorization-intro?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-diff-of-squares/v/factoring-difference-of-squares-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring difference of squares: analyzing factorization | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/TK-U1p9O6Nc/default.jpg URL=http://www.youtube.com/watch?v=TK-U1p9O6Nc description=Sal analyzes two different factorizations of 16x^2-64 and determines whether they are correct. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-diff-of-squares/v/factoring-difference-of-squares-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-diff-of-squares/v/factoring-to-produce-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring difference of squares: missing values | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/IRmv-Z--3LA/default.jpg URL=http://www.youtube.com/watch?v=IRmv-Z--3LA description=Sal analyzes the factorization of 3y^3-100y as 4y(My+g)(My-g) to find the possible values for the missing coefficient g. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-diff-of-squares/v/finding-a-shared-binomial-factor?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-diff-of-squares/v/equivalent-expressions-to-differences-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Emancipation Proclamation | The Civil War era (1844-1877) | US History | Khan Academy thumb=https://i.ytimg.com/vi/fYXqj_UPsXg/default.jpg URL=http://www.youtube.com/watch?v=fYXqj_UPsXg description=Kim and Sal talk about the Emancipation Proclamation. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/the-gilded-age/gilded-age/v/the-gilded-age-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/early-phases-of-civil-war-and-antietam?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Early phases of Civil War and Antietam | US History | Khan Academy thumb=https://i.ytimg.com/vi/01crUV4VSkk/default.jpg URL=http://www.youtube.com/watch?v=01crUV4VSkk description=Early phases of Civil War and Antietam. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/emancipation-proclamation?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/strategy-of-the-civil-war?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring polynomials: common factor area model | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/tYknkDjp-bQ/default.jpg URL=http://www.youtube.com/watch?v=tYknkDjp-bQ description=Sal finds the measures of a rectangle whose area is 12x⁴+6x³+15x² by taking the greatest common factor. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-common-factors/v/factoring-a-common-binomial-factor?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-common-factors/v/factoring-and-the-distributive-property-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring quadratics as (x+a)(x+b) | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/D3a8NnpQ2vU/default.jpg URL=http://www.youtube.com/watch?v=D3a8NnpQ2vU description=Sal factors x²-3x-10 as (x+2)(x-5) using the sum-product form: (x+a)(x+b)=x²+(a+b)x+a*b. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-quadratics-1/v/factoring-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math1-evaluating-expressions-with-unknown-variables/v/evaluating-expressions-with-unknown-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Strategy of the Civil War | The Civil War era (1844-1877) | US History | Khan Academy thumb=https://i.ytimg.com/vi/L87VpmRLAPg/default.jpg URL=http://www.youtube.com/watch?v=L87VpmRLAPg description=Strategy of the Civil War. The advantages and disadvantages of the North and South in the American Civil War. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/early-phases-of-civil-war-and-antietam?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/start-of-the-civil-war?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Start of the Civil War | The Civil War era (1844-1877) | US History | Khan Academy thumb=https://i.ytimg.com/vi/Dl0RRDiG6O8/default.jpg URL=http://www.youtube.com/watch?v=Dl0RRDiG6O8 description=From Lincoln's election to the formation of the Confederacy and Fort Sumter. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/strategy-of-the-civil-war?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/increasing-political-battles-over-slavery-in-mid-1800s?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring polynomials: common binomial factor | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/tDlzWNtRzS8/default.jpg URL=http://www.youtube.com/watch?v=tDlzWNtRzS8 description=Sal factors n(n-1)+3(n-1) as (n+3)(n-1) by noticing that (n-1) is a common factor. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math1-evaluating-expressions-with-unknown-variables/v/evaluating-expressions-where-individual-variable-values-are-unknown?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-common-factors/v/factoring-polynomial-with-area-model?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monomial factorization | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/_MCPV8CQzf8/default.jpg URL=http://www.youtube.com/watch?v=_MCPV8CQzf8 description=Sal analyzes two different factorizations of 24x^5 and determines whether they are correct. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factoring-monomials/v/finding-algebraic-factor-of-a-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factorization-intro/v/factors-and-divisibility-in-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring binomials: common factor | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/iTn3TTF0IXk/default.jpg URL=http://www.youtube.com/watch?v=iTn3TTF0IXk description=Sal factors 8x²y+12xy² as (4xy)(2x+3y) by taking out the greatest common factor. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-common-factors/v/factoring-and-the-distributive-property-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-common-factors/v/factoring-linear-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: finding the missing monomial factor | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/kkrF9X6Fycg/default.jpg URL=http://www.youtube.com/watch?v=kkrF9X6Fycg description=Sal finds the missing factor F in the factorization of -30x^5 as (-10x^3)(F). Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factoring-monomials/v/dimensions-of-rectangle-for-algebraically-described-area?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factoring-monomials/v/ways-to-factor-a-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: finding missing monomial side in area model | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/UYh7Sj_yR8c/default.jpg URL=http://www.youtube.com/watch?v=UYh7Sj_yR8c description=Sal finds the length of a rectangle whose area is 42xy^3 and whose height is 14xy. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factoring-monomials/v/monomial-greatest-common-factor?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factoring-monomials/v/finding-algebraic-factor-of-a-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to factors & divisibility | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/SjN3_xCJamA/default.jpg URL=http://www.youtube.com/watch?v=SjN3_xCJamA description=Sal explains what it means for a polynomial to be a factor of another polynomial, and what it means for a polynomial to be divisible by another polynomial. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factoring-monomials/v/ways-to-factor-a-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-polynomial-div-practice/v/dividing-polynomials-with-remainders?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Special products of the form (x+a)(x-a) | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/JfuisfEdnjk/default.jpg URL=http://www.youtube.com/watch?v=JfuisfEdnjk description=Sal introduces difference of squares expressions. For example, (x+3)(x-3) is expanded as x²-9. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/special-products-of-polynomials/v/pattern-for-squaring-simple-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-binomials-2/v/multiplying-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Squaring binomials of the form (x+a)² | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/xH_GllPuymc/default.jpg URL=http://www.youtube.com/watch?v=xH_GllPuymc description=Sal introduces perfect square expressions. For example, (x+7)² is expanded as x²+14x+49. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/special-products-of-polynomials/v/special-polynomials-products-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/special-products-of-polynomials/v/difference-of-squares-pattern-for-simple-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying binomials intro | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Xy8NKUoyy98/default.jpg URL=http://www.youtube.com/watch?v=Xy8NKUoyy98 description=Sal expresses the area of a rectangle whose height is x+2 and width is x+3. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-binomials/v/multiplying-simple-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-poly-by-monomials/v/missing-values-in-monomial-polynomial-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Breakthrough Junior Challenge - Sal and Priscilla thumb=https://i.ytimg.com/vi/qCVTAyjZ24w/default.jpg URL=http://www.youtube.com/watch?v=qCVTAyjZ24w description=Register now at www.breakthroughjuniorchallenge.org. The Breakthrough Junior Challenge is presented by Breakthrough Prize and Khan Academy.org Submit a video (max 10 minutes) that explains a challenging and important concept or theory in mathematics, life sciences, or physics and you could win a $250,000 scholarship - with $50,000 for your teacher, and a state-of-the-art $100,000 Breakthrough Science Lab for your school. The winner will also be invited to the televised red carpet 2016 Breakthrough Prize ceremony where the prize will be awarded, and they can meet today’s superstars of science in Silicon Valley and Hollywood. The deadline for submissions is October 7, 2015./description type=video name=Practice finding patterns in numbers | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/l-6uEtTBH7g/default.jpg URL=http://www.youtube.com/watch?v=l-6uEtTBH7g description=Learn how to spot a pattern in a sequence of numbers, such as 3, 6, 9, 12... Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-grade-properties-patterns/e/patterns?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade This is the last video in our 3th grade subject! Now move on to our first video in 4th grade: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-add-sub-topic/cc-4th-adding/v/baseten-warmup?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-odds-evens/v/introduction-to-even-and-odd?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to even and odd numbers | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/SFRTTUtAjg4/default.jpg URL=http://www.youtube.com/watch?v=SFRTTUtAjg4 description=What are even and odd numbers? What happens when you add two even numbers? Two odd numbers? How about one odd number and one even number? Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-grade-properties-patterns/v/practice-finding-patterns-in-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-prop-mult/v/properties-and-patterns-for-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Properties and patterns for multiplication | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/um2nlNVM_YM/default.jpg URL=http://www.youtube.com/watch?v=um2nlNVM_YM description=Change the order of numbers or decompose numbers to simplify multiplication problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-prop-mult/e/properties-of-multiplication-1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-odds-evens/v/introduction-to-even-and-odd?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-prop-mult/v/order-doesn-t-matter-when-purely-multiplying?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order doesn't matter when purely multiplying | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/VXrn5HOQmHQ/default.jpg URL=http://www.youtube.com/watch?v=VXrn5HOQmHQ description=Use pictures and practice problems to see commutativity and associativity in multiplication. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-prop-mult/e/properties-of-multiplication-1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-prop-mult/v/properties-and-patterns-for-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/v/examples-rounding-to-the-nearest-10-and-100?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to types of quadrilaterals | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/H-ykHosJW9c/default.jpg URL=http://www.youtube.com/watch?v=H-ykHosJW9c description=Discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-geometry/e/categorize-quadrilaterals?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/v/rounding-to-the-nearest-10?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/arithmetic-word-problems-with-volume?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Arithmetic word problems with volume | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/lf4BBZK1Vzs/default.jpg URL=http://www.youtube.com/watch?v=lf4BBZK1Vzs description=Learn how to solve some practice problems using volume. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/e/volume-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-geometry/v/introduction-to-types-of-quadrilaterals?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/liter-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mass problems | Measurement and geometry | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/4HnyNMhkBs0/default.jpg URL=http://www.youtube.com/watch?v=4HnyNMhkBs0 description=Solve word problems involving mass. Estimate the mass of items. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/e/measure-mass?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/liter-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/intuition-for-grams?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuition for grams | Measurement and geometry | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/zqduFg0s5Q4/default.jpg URL=http://www.youtube.com/watch?v=zqduFg0s5Q4 description=In this video, we think about what what mass really means. We also examine the masses of real objects in grams and kilograms. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/e/measure-mass?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/mass-problems?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/v/marking-data-on-line-plots?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marking data on line plots | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/Oc1XmBVyXMk/default.jpg URL=http://www.youtube.com/watch?v=Oc1XmBVyXMk description=Show measurements on line plots (also called dot plots). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/e/creating-line-plots-2?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/intuition-for-grams?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/v/solving-problems-with-pictographs-2?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving problems with pictographs 2 | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/IjcLW7Y7Ndk/default.jpg URL=http://www.youtube.com/watch?v=IjcLW7Y7Ndk description=Use picture graphs to solve word problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/e/solving-problems-with-picture-graphs-2?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/v/marking-data-on-line-plots?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/v/creating-picture-and-bar-graphs-2-exercise-examples?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating picture and bar graphs 2 exercise examples | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/DvV0e5F98NQ/default.jpg URL=http://www.youtube.com/watch?v=DvV0e5F98NQ description=Create and interpret bar and picture graphs. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/e/creating-picture-and-bar-graphs-2?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/v/solving-problems-with-pictographs-2?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/v/more-solving-problems-with-bar-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More solving problems with bar graphs | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/R48KimqkYTA/default.jpg URL=http://www.youtube.com/watch?v=R48KimqkYTA description=Interpret bar graphs to answer questions about a context. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/e/solving-problems-with-bar-graphs-3?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-data/v/creating-picture-and-bar-graphs-2-exercise-examples?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/v/time-to-leave-for-home?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Telling time problems with number line | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/DA2w8lRelIc/default.jpg URL=http://www.youtube.com/watch?v=DA2w8lRelIc description=Use a number line to tell time and find the duration of an event. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/e/telling-time-word-problems-with-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/v/time-to-leave-for-home?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-telling-time/v/telling-time-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions of different wholes | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/OgTpVth-aUk/default.jpg URL=http://www.youtube.com/watch?v=OgTpVth-aUk description=Comparing fractions of different wholes Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-different-wholes/e/naming-the-whole?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-area/v/introduction-to-area-and-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions/v/comparing-fractions-of-different-wholes?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Clarification: Comparing fractions of different wholes | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/xRzZuhWSlb8/default.jpg URL=http://www.youtube.com/watch?v=xRzZuhWSlb8 description=Shade visual fraction models to compare fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions/e/comparing-fractions-with-the-same-numerator-or-denominator?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-different-wholes/v/comparing-fractions-different-wholes?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions/v/comparing-fractions-with-greater-than-and-less-than-symbols?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fraction models | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/G4VxHxwi6DY/default.jpg URL=http://www.youtube.com/watch?v=G4VxHxwi6DY description=Use same-sized wholes to show equivalent fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions/e/equivalent-fraction-models-1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/v/equivalent-fractions-visually-and-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions/v/equivalent-fractions-with-visuals?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fractions with visuals | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/oGAVi4xb7Sg/default.jpg URL=http://www.youtube.com/watch?v=oGAVi4xb7Sg description=Use same-sized wholes to show equivalent fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions/e/equivalent-fraction-models-1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions/v/equivalent-fraction-models?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-and-whole-numbers/v/whole-numbers-as-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Average height of a building's floor | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/xeoVPSBP9WI/default.jpg URL=http://www.youtube.com/watch?v=xeoVPSBP9WI description=Learn how to use the Khan Academy number line widget. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-on-the-number-line/e/fractions_on_the_number_line_1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-and-whole-numbers/v/different-ways-to-represent-1-as-a-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-on-the-number-line/v/fractions-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Running distance in a week | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/HL1wuw_k984/default.jpg URL=http://www.youtube.com/watch?v=HL1wuw_k984 description=Solve a two-step word problem by drawing a picture and creating an equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/e/two-step-word-problems-with-addition--subtraction--multiplication--and-division?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-grade-multiplying-by-10/v/multiplying-by-multiples-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/marbles-for-friends?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marbles for friends | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/lhLVC1QB_kQ/default.jpg URL=http://www.youtube.com/watch?v=lhLVC1QB_kQ description=Solve a two-step estimation word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/e/two-step-word-problems-with-addition--subtraction--multiplication--and-division?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/running-distance-in-a-week?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/total-seats-in-a-theater?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total seats in a theater | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/Wu1KO07WPkk/default.jpg URL=http://www.youtube.com/watch?v=Wu1KO07WPkk description=Solve a two-step word problem by drawing a picture and creating an equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/e/two-step-word-problems-with-addition--subtraction--multiplication--and-division?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/marbles-for-friends?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/how-many-truffle-eating-guests-attended-a-party?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How many truffle eating guests attended a party | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/XAW9d3XU3qI/default.jpg URL=http://www.youtube.com/watch?v=XAW9d3XU3qI description=Solve a two-step word problem by drawing a picture and creating an equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/e/two-step-word-problems-with-addition--subtraction--multiplication--and-division?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/total-seats-in-a-theater?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/unknowns-with-multiplication-and-division?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Grade 3th on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3th grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples relating multiplication to division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/qcMJ1pN36r4/default.jpg URL=http://www.youtube.com/watch?v=qcMJ1pN36r4 description=See the relationship between multiplication and division problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-relate-mult-div/e/relate-division-to-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/how-many-cars-can-fit-in-the-parking-lot?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-division/v/the-idea-of-division?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Grade 3th on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Patterns in multiplication tables practice | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/CIoPn6BnLNM/default.jpg URL=http://www.youtube.com/watch?v=CIoPn6BnLNM description=Read a multiplication table, and fill in the missing pieces. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-mult-table/e/patterns-in-the-addition-table-and-multiplication-table?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-division/v/the-idea-of-division?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-mult/v/more-on-the-concept-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Grade 3th on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Missing number for addition and subtraction within 1000 | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/5ZMHdtGySvI/default.jpg URL=http://www.youtube.com/watch?v=5ZMHdtGySvI description=Learn how to solve missing number problems like ___ + 261 = 630. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-add-sub-missing-value/e/find-the-missing-number--addition-and-subtraction-within-1000-?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-mult/v/multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-regrouping-3-dig/v/mental-technique-for-subtraction-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=3thgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying binomials by polynomials: area model | Algebra II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/C9m5VEEyno8/default.jpg URL=http://www.youtube.com/watch?v=C9m5VEEyno8 description=Sal expresses the area of a rectangle whose height is y²-6y and width is 3y²-2y+1. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-polynomials-by-binomials/v/missing-coefficients-in-binomial-product?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-polynomials-by-binomials/v/more-multiplying-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying binomials with distributive property thumb=https://i.ytimg.com/vi/TuMV-Zb6A9s/default.jpg URL=http://www.youtube.com/watch?v=TuMV-Zb6A9s description=Multiplying binomials with distributive property/description type=video name=Multiplying binomials by polynomials challenge | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ieC5LgoGJVg/default.jpg URL=http://www.youtube.com/watch?v=ieC5LgoGJVg description=Sal finds the values of coefficients a and b that make (2x+4)(5x-9)=ax²+bx-46 true for all x-values. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/modeling-with-polynomials/v/multiplying-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-polynomials-by-binomials/v/multiplying-polynomials-using-area-model?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying binomials: area model | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/oOTFGdjhqqM/default.jpg URL=http://www.youtube.com/watch?v=oOTFGdjhqqM description=Sal expresses the area of a rectangle whose height is x+2 and width is x+3. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-binomials/v/multiplying-simple-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-poly-by-monomials/v/missing-values-in-monomial-polynomial-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying monomials by polynomials challenge | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/NADPP4wlo1Q/default.jpg URL=http://www.youtube.com/watch?v=NADPP4wlo1Q description=Sal finds the values of coefficients c, d, and f that make -2y(y²+cy-3)=dy³+12y²+fy true for all y-values. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-binomials/v/area-model-for-multiplying-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-poly-by-monomials/v/multiplying-monomials-by-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying monomials by polynomials: area model | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/bkZYILrmFRU/default.jpg URL=http://www.youtube.com/watch?v=bkZYILrmFRU description=Sal expresses the area of a rectangle whose height is 4 and width is x²+3x+2. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-poly-by-monomials/v/multiplying-monomials-by-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-monomials/v/missing-values-in-monomial-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying monomials challenge | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/mzULbezO6iA/default.jpg URL=http://www.youtube.com/watch?v=mzULbezO6iA description=Sal finds the values of coefficients a and b that make (3x^a)(bx^4)=-24x^6 true for all x-values. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-poly-by-monomials/v/area-model-of-monomial-polynomial-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-mul-monomials/v/multiplying-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting polynomials: two variables challenge | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/G9C7uz3XOh0/default.jpg URL=http://www.youtube.com/watch?v=G9C7uz3XOh0 description=Sal subtracts -6x⁴-3x²y²+5y⁴ from 2x⁴-8x²y²-y⁴. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-add-sub-poly-two-var/v/example-of-error-when-subtracting-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-add-sub-poly-two-var/v/subtracting-polynomials-with-multiple-variables?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amy Jarich Interview thumb=https://i.ytimg.com/vi/Jqd76-epuNo/default.jpg URL=http://www.youtube.com/watch?v=Jqd76-epuNo description=Sal interviews Amy Jarich, UC Berkeley's Vice Chancellor and Director of Admissions, about non-traditional admissions./description type=video name=Polynomial subtraction | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/xgoqcc2-RS4/default.jpg URL=http://www.youtube.com/watch?v=xgoqcc2-RS4 description=Sal subtracts (-2x²+4x-1) from (6x²+3x-9) and shows that the set of polynomials is closed under addition and subtraction. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-add-sub-polynomials/v/adding-and-subtracting-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-add-sub-polynomials/v/subtracting-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding an error in polynomial subtraction | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ZBDiMLAQU-8/default.jpg URL=http://www.youtube.com/watch?v=ZBDiMLAQU-8 description=Sal analyzes a polynomial subtraction process to find the step that has an error. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-add-sub-poly-two-var/v/addition-and-subtraction-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-polynomials/math2-add-sub-poly-two-var/v/subtracting-polynomials-in-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Beginning of the Civil War thumb=https://i.ytimg.com/vi/ULN_6DXynCg/default.jpg URL=http://www.youtube.com/watch?v=ULN_6DXynCg description=Understanding the sequence of events from Lincoln's election to all-out war./description type=video name=Mathematical closure thumb=https://i.ytimg.com/vi/BXg3cAbmDjM/default.jpg URL=http://www.youtube.com/watch?v=BXg3cAbmDjM description=Understanding what it means for a set to be closed under an operation./description type=video name=Arithmetic properties with negative numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/hmtJV49AWio/default.jpg URL=http://www.youtube.com/watch?v=hmtJV49AWio description=In this video, we figure out whether or not some expressions are equivalent. To do this, we think about properties of multiplication and division. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-properties-of-mult-div/e/properties-of-multiplication-with-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals/v/decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-order-of-operations/v/order-of-operations-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thinking about the sign of expressions | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/Pms4cBWwPSU/default.jpg URL=http://www.youtube.com/watch?v=Pms4cBWwPSU description="Some examples that test our understanding of what happens when we multply or divided a bunch of positive or negative numbers. Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-exponents-negative-base/v/powers-of-zero?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-exponents-negative-base/v/powers-of-1-and-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Multiplying and dividing even and odd numbers of negatives | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/XHHYA2Ug9lk/default.jpg URL=http://www.youtube.com/watch?v=XHHYA2Ug9lk description="We can figure out whether multiplication and division problems give us a positive or negative result by thinking about how many negative numbers are used in the computation. Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-exponents-negative-base/v/powers-of-1-and-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-exponents-negative-base/v/raising-a-number-to-the-0th-and-1st-power?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Exponents with negative bases | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/vEZea0EThus/default.jpg URL=http://www.youtube.com/watch?v=vEZea0EThus description="Apply what we know about negative numbers to determine how negative bases with exponents are affected and what patterns develop. Also learn how order of operations affect the pattern. Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-exponents-negative-base/v/raising-a-number-to-the-0th-and-1st-power?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/v/rational-number-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Expressions with rational numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/a_Wi-6SRBTc/default.jpg URL=http://www.youtube.com/watch?v=a_Wi-6SRBTc description="Compare expressions with positive and negative fractions. Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-exponents-negative-base/v/exponents-with-negative-bases?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/v/making-sense-of-hairy-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Making sense of hairy fractions | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/K2b8iMPY11I/default.jpg URL=http://www.youtube.com/watch?v=K2b8iMPY11I description=Let's take some complex looking fractions and make them much, much simpler. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/e/complex-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/v/rational-number-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/v/dividing-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative signs in numerators and denominators | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/9eSPhvhuInw/default.jpg URL=http://www.youtube.com/watch?v=9eSPhvhuInw description="Negative signs in numerators and denominators Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/e/negative-signs-in-numerators-and-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-fractions-2/v/dividing-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-neg-fractions/v/examples-of-dividing-negative-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting multiplicationa and division of negative numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/mPLCXCscqI8/default.jpg URL=http://www.youtube.com/watch?v=mPLCXCscqI8 description=Let's think about the meaning of negative numbers in different situations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-neg-word-problems/e/negative-number-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-neg-fractions/v/multiplying-negative-and-positive-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-multiply-and-divide/cc-7th-mult-div-negatives/v/why-a-negative-times-a-negative-makes-intuitive-sense?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Breakthrough Junior Challenge thumb=https://i.ytimg.com/vi/DoQkjWPpgyU/default.jpg URL=http://www.youtube.com/watch?v=DoQkjWPpgyU description=Register now at www.breakthroughjuniorchallenge.org. The Breakthrough Junior Challenge is presented by Breakthrough Prize and Khan Academy.org Submit a video (max 10 minutes) that explains a challenging and important concept or theory in mathematics, life sciences, or physics and you could win a $250,000 scholarship - with $50,000 for your teacher, and a state-of-the-art $100,000 Breakthrough Science Lab for your school. The winner will also be invited to the televised red carpet 2016 Breakthrough Prize ceremony where the prize will be awarded, and they can meet today’s superstars of science in Silicon Valley and Hollywood. The deadline for submissions is October 7, 2015./description type=video name=Categorizing geometric shapes: practice examples | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/PiQxA9O7Rd8/default.jpg URL=http://www.youtube.com/watch?v=PiQxA9O7Rd8 description=Watch and do these example exercises along with us. Remember what you have learned about perpendicular lines, right, obtuse, and acute triangles. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes/e/classifying-shapes-by-line-and-angle-types?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fact-mult-topic/cc-4th-factors-multiples/v/finding-factors-of-a-number?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/v/recog-triangles-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Categorizing triangles | Geometry | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/NRS2ZJVVzOI/default.jpg URL=http://www.youtube.com/watch?v=NRS2ZJVVzOI description=Let's practice categorizing triangles in this example exercise. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/e/recognizing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-shapes/v/classifying-shapes-examples?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/v/scalene-isosceles-equilateral-from-angle?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangles: categorization by angle or equal sides | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/D5lZ3thuEeA/default.jpg URL=http://www.youtube.com/watch?v=D5lZ3thuEeA description=Scalene, isosceles, equilateral, acute, right, obtuse. All are types of triangles but what makes them special depends on the method of categorization. Watch this outstanding explanation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/e/recognizing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/v/scalene-isosceles-equilateral-from-angle?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-quadrilaterals/v/quadrilateral-types-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving for an angle | Geometry | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/M7NVKImDqGg/default.jpg URL=http://www.youtube.com/watch?v=M7NVKImDqGg description=Let's use a little math with our geometry and see if we can solve for a mystery angle. In this example we know the adjacent angle AND the combination of the mystery angle and the adjacent angle. Mystery angle...how big are you? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/e/decomposing-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-line-of-symmetry/v/axis-of-symmetry?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/angle-sense-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identify the angle example | Geometry | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/2mzuFKCuDg4/default.jpg URL=http://www.youtube.com/watch?v=2mzuFKCuDg4 description=We're matching the visual angle with the corresponding angle measure. Great practice. See if you do it on your own before listening to Sal! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/e/benchmark-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/decomposing-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/drawing-acute-right-and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Drawing acute, right and obtuse angles | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/4ZyTVTGVPgE/default.jpg URL=http://www.youtube.com/watch?v=4ZyTVTGVPgE description=These 3 types of angles will often come up in your geometry studies. Let's make sure you know how to draw an acute, obtuse, and right angle. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/e/drawing-right--acute--and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/angle-sense-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/recognizing-angles-examples?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing angles | Geometry | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/B0R3MJOrST0/default.jpg URL=http://www.youtube.com/watch?v=B0R3MJOrST0 description=Let's do a few example exercises in which you recognize and identify the type of given angle. This is a lot of fun! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/e/recognizing-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/drawing-acute-right-and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/measuring-angles-in-degrees?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing angles | Geometry | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/QmfoIvgIVlE/default.jpg URL=http://www.youtube.com/watch?v=QmfoIvgIVlE description=As opposed to measuring an angle using a protractor, in this example we're constructing an angle. Same idea here, just a slightly different application. You got this. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles/e/drawing-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-interpreting-angles/v/acute-right-and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles/v/measuring-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Naming angles exercise example | Geometry | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/6vRgqB0PSXE/default.jpg URL=http://www.youtube.com/watch?v=6vRgqB0PSXE description=Here's an example exercise in which we find the correct angle name(s). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles/e/naming-angles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles/v/angle-measurement-and-circle-arcs?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-angles/v/angle-basics?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to read a line plot that uses fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/4smVBLi3DxU/default.jpg URL=http://www.youtube.com/watch?v=4smVBLi3DxU description=Learn how to read a line plot that records average monthly rainfall for various cities. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-line-plots-with-fractions/e/interpreting-line-plots-with-fraction-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-lines-rays-angles/v/language-and-notation-of-basic-geometry?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter/v/comparing-area?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Currency conversion word problem | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/XcRX-mkjeiM/default.jpg URL=http://www.youtube.com/watch?v=XcRX-mkjeiM description=One day you'll travel to another country and need to know if you have enough money to buy a souvenir in their currency. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-money/e/measuring-and-converting-money-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter/v/width-from-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-money/v/change-from-buying-apples?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Word problem: making change | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/_YXF7WDpWpg/default.jpg URL=http://www.youtube.com/watch?v=_YXF7WDpWpg description=To "make change" means to be able to give people the correct amount back in dollars and cents when paying for something. This is one of the most common and important skills haivng to do with unit conversion. Let's do it! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-money/e/measuring-and-converting-money-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-money/v/currency-conversion-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-time/v/time-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Time word problem: When to leave to get home on time | Khan Academy thumb=https://i.ytimg.com/vi/kul2ZmVIQZk/default.jpg URL=http://www.youtube.com/watch?v=kul2ZmVIQZk description=Mom asks you to be home by 5:45. You know the number of minutes it takes to get home. What time do you leave? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-time/e/measuring-time-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-time/v/time-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/converting-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to convert kilograms to milligrams and tons to ounces | Khan Academy thumb=https://i.ytimg.com/vi/1oFv56vSvvA/default.jpg URL=http://www.youtube.com/watch?v=1oFv56vSvvA description=We're converting kilograms to milligrams and tons to ounces. Let's do this example together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/e/measurement-units?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-time/v/time-to-leave-for-home?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/converting-us-fluid-volume?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to convert gallons to quarts, quarts to pints, pints to cups, and cups to ounces | Khan Academy thumb=https://i.ytimg.com/vi/9UVgO8zS474/default.jpg URL=http://www.youtube.com/watch?v=9UVgO8zS474 description=Moving easily between gallons, quarts, pints, cups, and fluid ounces makes you really valuable in a ton of different situations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/e/measurement-units?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/converting-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/converting-metric-distance?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to convert kilometers to meters and meters centimeters | Khan Academy thumb=https://i.ytimg.com/vi/9iulv2QvKwo/default.jpg URL=http://www.youtube.com/watch?v=9iulv2QvKwo description=Even if you live the U.S. don't assume that you won't use metric distance units. There are lots of situations where your knowledge of kilometers, for example, will come in handy. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/e/measurement-units?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/converting-us-fluid-volume?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/feet-to-inches-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to convert feet to inches | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/zsI4g5XSlbw/default.jpg URL=http://www.youtube.com/watch?v=zsI4g5XSlbw description=Here's a practice example that gets us thinking about how to change feet to inches. Will you get any feet of snow this winter? How many inches is that? Come on, snow days! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/e/measurement-units?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/converting-metric-distance?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/time-unit-conversion?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding reasonable unit of measurement example | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/OuaBg3Hjqoc/default.jpg URL=http://www.youtube.com/watch?v=OuaBg3Hjqoc description=The truth is that you can use almost any unit of measurement as long as you're willing for that number to be really big or really small. The key is to find the most "reasonable" unit. Can you help? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-sense/e/unit-sense?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-sense/v/unit-sense-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-us-customary-units/v/us-customary-fluid-volume?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U.S. customary units: fluid volume | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/eqKnx5Yk508/default.jpg URL=http://www.youtube.com/watch?v=eqKnx5Yk508 description=Of all the US customary units of measurement, fluid volume has the highest number of commonly-used units: teaspoon, tablespoon, fluid ounce, cup, pint, quart, and gallon. There's a chance that you'll come across a recipe that uses many (if not most) of these units, so pay attention. Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-sense/v/unit-sense-example-for-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-us-customary-units/v/us-customary-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U.S. customary units: weight | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/Dj1rbIP8PHM/default.jpg URL=http://www.youtube.com/watch?v=Dj1rbIP8PHM description=Would you measure the weight of your parents' car in ounces, pounds, or tons? Actually, you could measure in all three! However, you want to choose the unit that is most convenient in terms of numbers of units. Let's learn more. Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-us-customary-units/v/us-customary-fluid-volume?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-us-customary-units/v/us-customary-distance?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U.S. customary units: distance | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/M9bisHkXbKc/default.jpg URL=http://www.youtube.com/watch?v=M9bisHkXbKc description=From small to big, these units of distance got you covered: inch, foot, yard, and mile. Let's be sure we understand them. Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-us-customary-units/v/us-customary-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-us-customary/v/metric-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Metric system: units of weight | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/TD1zuENbEdk/default.jpg URL=http://www.youtube.com/watch?v=TD1zuENbEdk description=Let's jump into the world of metric weight measurement! Nice to meet you, milligram. You, too, gram and kilogram. Let's get to know each other. Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-us-customary-units/v/us-customary-distance?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-us-customary/v/metric-units-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Metric system: units of volume | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/LhMEqsL_M5o/default.jpg URL=http://www.youtube.com/watch?v=LhMEqsL_M5o description=How much is it to drink a liter of soda? First off, drinking a liter of soda could result in some serious cavities. Nonetheless, understanding metric units of volume (like liters and milliliters) is really important. Soda? Not so imporant. Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-us-customary/v/metric-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-us-customary/v/metric-distance?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Metric system: units of distance | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/I3kQJvR7ZIg/default.jpg URL=http://www.youtube.com/watch?v=I3kQJvR7ZIg description=The great thing about the metric system is that everything is measured in terms of ten. You've heard of meters, kilometers, centimeters, and millimeters, right? Let's get their definitions down pat. Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-us-customary/v/metric-units-weight?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals-visually/v/comparing-numbers-represented-in-different-ways?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing numbers represented in different ways | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/YM4lE4q0fSk/default.jpg URL=http://www.youtube.com/watch?v=YM4lE4q0fSk description=Examples of Khan Academy practice problems where you compare decimals, fractions, and number diagrams. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals-visually/e/cc-4th-comparing-decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-metric-us-customary/v/metric-distance?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals-visually/v/comparing-decimals-visually-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals visually example | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/ftEVCrKfIVM/default.jpg URL=http://www.youtube.com/watch?v=ftEVCrKfIVM description=Learn how to compare decimals using grid diagrams. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals-visually/e/comparing-decimals-visually?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals-visually/v/comparing-numbers-represented-in-different-ways?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals/v/comparing-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals example 1 | Decimals | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/EX9CdUAMpgE/default.jpg URL=http://www.youtube.com/watch?v=EX9CdUAMpgE description=Learn how to compare decimals with tenths and hundredths. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals/e/comparing_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-compare-decimals/v/comparing-decimals-1-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-to-fractions/v/converting-decimals-to-fractions-1-ex-3?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Place value for decimals greater than one (examples) | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/-BYomxn8Rss/default.jpg URL=http://www.youtube.com/watch?v=-BYomxn8Rss description=Understand decimal numbers that are greater than 1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-greater-than-one/e/decimals-greater-than-one-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-to-fractions/v/converting-decimals-to-fractions-1-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimal-fractions/v/fraction-decimal-intuition-examples?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fraction-decimal intuition problems (examples) | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/NfU7cmajLAY/default.jpg URL=http://www.youtube.com/watch?v=NfU7cmajLAY description=Understand the connection between decimals and fractions using a grid diagram. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimal-fractions/e/fraction-decimal-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-greater-than-one/v/place-value-for-decimals-greater-than-one?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line-2-examples?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plotting decimal numbers on a number line (examples) | Khan Academy thumb=https://i.ytimg.com/vi/gWqYXa7r_V0/default.jpg URL=http://www.youtube.com/watch?v=gWqYXa7r_V0 description=Learn how to find decimals with hundredths on a number line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/e/decimals_on_the_number_line_2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimal-fractions/v/fraction-decimal-intuition-examples?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimal intuition with grids (examples) | Decimals | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/s9PvbFG2yJA/default.jpg URL=http://www.youtube.com/watch?v=s9PvbFG2yJA description=Deepen your understanding of decimal numbers by thinking about grid diagrams. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/e/decimal-intuition-with-grids?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-number-line/v/decimals-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/v/decimals-as-words?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals as words | Decimals | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/qSPwUDmpnJ4/default.jpg URL=http://www.youtube.com/watch?v=qSPwUDmpnJ4 description=Learn how to describe decimals in words. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/e/decimals-in-words?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/v/decimal-intuition-with-grids?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/v/introduction-to-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decompose hundredths on number line | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/k4bqucu56Ig/default.jpg URL=http://www.youtube.com/watch?v=k4bqucu56Ig description=Learn how to decompose a fraction with hundredths on a number line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/e/decompose-fractions-with-denominators-of-100?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/v/adding-fractions-with-10-and-100-as-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/v/decomposing-hudredths-into-tenths-and-hundredths?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decomposing hundredths into tenths and hundredths | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/kAm9x3uWF9I/default.jpg URL=http://www.youtube.com/watch?v=kAm9x3uWF9I description=Learn how to decompose a fraction into tenths and hundredths. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/e/decompose-fractions-with-denominators-of-100?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/v/decompose-hundredths-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/v/visually-converting-from-tenths-to-hundredths?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visually converting from tenths to hundredths | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/zEd67cLFnuQ/default.jpg URL=http://www.youtube.com/watch?v=zEd67cLFnuQ description=Learn how to convert fractions from tenths to hundredths using grid diagrams. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/e/equivalent-fractions-with-denominators-of-10-and-100-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/v/decomposing-hudredths-into-tenths-and-hundredths?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-frac-word-problems/v/multiplying-fractions-word-problem-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Whole number and fraction multiplication concept | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/ZlhrXO1-osA/default.jpg URL=http://www.youtube.com/watch?v=ZlhrXO1-osA description=A mixed number is simply a whole number/fraction multiplication problem. Let us explain. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac/e/multiplying_fractions_by_integers?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-frac-word-problems/v/multiplying-fractions-word-problem-3?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac/v/concept-whole-fraction-mult?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conceptual understanding of multiplying fractions and whole numbers | Khan Academy thumb=https://i.ytimg.com/vi/XaJQse2u5TQ/default.jpg URL=http://www.youtube.com/watch?v=XaJQse2u5TQ description=Here we have a nice visual explanation of how a mixed number is really a multiplication of a fraction and a whole number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac/e/multiplying_fractions_by_integers?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-whole-number-frac/v/fraction-whole-multiplication-concept?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-unit-frac/v/multiplying-fractions-and-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions visually with pies | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/uCtXyhepAmQ/default.jpg URL=http://www.youtube.com/watch?v=uCtXyhepAmQ description=Comparing fractions visually with pies Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/e/visually-comparing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions/v/comparing-fractions-with-different-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/v/comparing-fractions-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions on a number line | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/7vWzd-ZV6-Q/default.jpg URL=http://www.youtube.com/watch?v=7vWzd-ZV6-Q description=Comparing fractions on a number line Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/e/visually-comparing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/v/comparing-fractions-visually-with-pies?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/v/comparing-fractions-visually-with-a-bar?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions visually with a bar | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/ory05j2jgBM/default.jpg URL=http://www.youtube.com/watch?v=ory05j2jgBM description=Learn how to compare fractions with unlike denominators by drawing bars Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/e/visually-comparing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/v/comparing-fractions-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-5th-common-denominators/v/finding-common-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fractions and different wholes | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/8VjhtS3KlOY/default.jpg URL=http://www.youtube.com/watch?v=8VjhtS3KlOY description=Learn how two fractions are equivalent only if they refer to the same whole. For example, 1/2 of a small circle is not the same as 1/2 of a big circle. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/e/different-wholes?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-5th-common-denominators/v/finding-common-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/v/more-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on equivalent fractions | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/yZqVJtDO7gc/default.jpg URL=http://www.youtube.com/watch?v=yZqVJtDO7gc description=Important: if you multiply a fraction's numerator and the denominator by the same number, you'll end up with an equivalent fraction. Got it? Maybe? No problem, we'll help! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/e/equivalent_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/v/comparing-fractions-of-different-wholes-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/v/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to equivalent fractions | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/N1X0vf5PUz4/default.jpg URL=http://www.youtube.com/watch?v=N1X0vf5PUz4 description=Ever had to share a pizza and got stuck with a smaller piece? Not fair! We're here to stand up for your delicious, hot EQUAL pizza slice. Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/e/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-visualizing-equiv-frac/v/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multistep-word-problems/v/multi-step-word-problems-with-whole-numbers-exercise-t2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing numbers: long division example | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/HY-8ydAbiik/default.jpg URL=http://www.youtube.com/watch?v=HY-8ydAbiik description=Have a go at this one on your own before listening to the solution. You're doing great and we believe in you! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/e/division_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/division-using-understanding-of-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/long-division-without-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing numbers: intro to long division | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/KFzcwWTEDDI/default.jpg URL=http://www.youtube.com/watch?v=KFzcwWTEDDI description=Division isn't magic. It's perfectly logical. In this example we'll do a long division problem together and find the resulting answer (without a remainder). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/e/division_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/dividing-3-digit-by-1-digit-without-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing/v/multiplication-and-division-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing with multiplication: money and distance | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/ZS157czfx4E/default.jpg URL=http://www.youtube.com/watch?v=ZS157czfx4E description=When comparing it's often helpful to start by using letters to represent numbers. Watch this video as we walk you through 2 examples involving money and distance. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing/e/comparing-with-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing/v/comparing-with-multiplication-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing/v/comparisons-multiplication-addition?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing with multiplication: ages and heights | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/UKYjhM_c_7s/default.jpg URL=http://www.youtube.com/watch?v=UKYjhM_c_7s description=You'll learn that sometimes multiplication is used as a way of comparing two things. In these 2 examples, we're comparing age and height. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing/e/comparing-with-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-mult-comparing/v/comparisons-subtraction-division?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/area-model-for-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 2 digit numbers | Multiplication and division | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/DaQlieZH1kk/default.jpg URL=http://www.youtube.com/watch?v=DaQlieZH1kk description=The trick here to remember your place value as you multiply and then add the numbers. We'll demonstrate and make it perfectly clear! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/e/multiplication_3?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/4-by-1-multiplication-with-grid?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/v/more-ways-to-think-about-multiplying?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number patterns: visualizing sequence relationships | Algebric thinking | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/mqsIJucBn6c/default.jpg URL=http://www.youtube.com/watch?v=mqsIJucBn6c description=Now we're visually plotting ordered pairs based on sequence relationships. The sequence is based on given rules. You're good at following rules, right? Of course you are! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking/cc-5th-number-patterns/e/visualizing-and-interpreting-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade This is the last video in our 5th grade subject! Now move on to our first video in 6th grade: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratios-intro/v/ratios-intro?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking/cc-5th-number-patterns/v/interpreting-and-graphing-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadrilaterals: classifying shapes | Geometry | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/1pHhMX0_4Bw/default.jpg URL=http://www.youtube.com/watch?v=1pHhMX0_4Bw description=Let's see how well you classify shapes by determining what properties match each kind of quadrilateral. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-quadrilaterals/e/properties-of-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking/cc-5th-writing-expressions-tut/v/constructing-numerical-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-quadrilaterals/v/quadrilateral-types-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: graphing points word problem | Geometry | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/_QKR8I5VE-w/default.jpg URL=http://www.youtube.com/watch?v=_QKR8I5VE-w description=Naomi needs some help counting the number of blocks she walks from home to school. We'll use the coordinate plane to graph it out first. Let's go. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane/e/coordinate-plane-word-problems-in-the-first-quadrant?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-quadrilaterals/v/quadrilateral-overview?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane/v/graphing-points-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Redistributing trail mix | Measurement and data | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/DtWovvMnPrk/default.jpg URL=http://www.youtube.com/watch?v=DtWovvMnPrk description=Given a dot plot with different measurements of trail mix in bags, find the amount of trail mix each bag would contain if the total amount in all the bags were redistributed equally. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data/e/interpreting-line-plots-with-fraction-multiplication-and-division?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane/v/graphing-points-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems/v/converting-units-of-length?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume through decomposition | Measurement and data | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/feNWZEln6Nc/default.jpg URL=http://www.youtube.com/watch?v=feNWZEln6Nc description=Find the volume of an irregular 3D figure by dividing the figure into two rectangular prisms and finding the volume of each part. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume/e/decompose-figures-to-find-volume?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume/v/volume-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume/v/volume-in-unit-cubes-by-decomposing-shape?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume in unit cubes by decomposing shape | Measurement and data | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/gm87omItizk/default.jpg URL=http://www.youtube.com/watch?v=gm87omItizk description=Find the volume of an irregular 3D figure made up a unit cubes by dividing the figure into two rectangular prisms and finding the volume of each part. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume/e/decompose-figures-to-find-volume?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume/v/volume-through-decomposition?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume/v/volume-of-a-rectangular-prism-or-box-examples?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractions as division by power of 10 | Place value and decimals | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/LohXZt7QzCM/default.jpg URL=http://www.youtube.com/watch?v=LohXZt7QzCM description=Keep in mind that a fraction is nothing more than a division problem. So if the denominator is 10 (or 100...or 1000), then all we need to do move the decimal in the numerator that number of zeros to the left. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10/e/converting_fractions_to_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume-w-unit-cubes/v/how-we-measure-volume?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10/v/dividing-decimals-2-1?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Powers of 10: patterns | Place value and decimals | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/YJdCw2fK-Og/default.jpg URL=http://www.youtube.com/watch?v=YJdCw2fK-Og description=We're going to observe a pattern that develops when we compare the number of zeros in tens with the number of zeros in the answer. What do you think will be the pattern? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10/e/powers-of-ten?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-mult-powers-of-10/v/patterns-in-zeros-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/cc-5th-rounding-decimals/v/rounding-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using fractions as division to create mixed numbers | Fractions | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/g8yk6zQDAek/default.jpg URL=http://www.youtube.com/watch?v=g8yk6zQDAek description=Understand the relationship between fractions, division, and mixed numbers. Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-div-frac-whole-word-prob/v/dividing-a-whole-number-by-a-fraction-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-fractions-as-division/v/my-share-of-soap-as-a-mixed-number-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding fractions as division | Fractions | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/c-_yrA-GUow/default.jpg URL=http://www.youtube.com/watch?v=c-_yrA-GUow description=Learn how a/b and aÌáb are equivalent. That is, the fraction bar and the division symbol mean the same thing. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-fractions-as-division/e/understanding-fractions-as-division?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-fractions-as-division/v/creating-a-fraction-through-division-of-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-frac-word-probs/v/multiplying-fractions-word-problem-5?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying two fractions: number line approach | Fractions | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/lJdb4_Fuxvw/default.jpg URL=http://www.youtube.com/watch?v=lJdb4_Fuxvw description=Fraction multiplication getting you down? No worries. This explanation which uses a number line to visualize the problem will lift your spirits. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions/e/multiplying_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-mixed-num/v/multiplying-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions/v/visualizing-fraction-products?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions: visualizing | Fractions | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/hr_mTd-oJ-M/default.jpg URL=http://www.youtube.com/watch?v=hr_mTd-oJ-M description=Here's a great way to visualize fraction multiplication problems. Once you understand this, doing them on your own will be a lot easier! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions/e/multiplying_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions/v/concept-fraction-mult-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-multiplying-fractions/v/multiplying-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions and whole numbers: two approaches | Fractions | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/HiNrFT280_Y/default.jpg URL=http://www.youtube.com/watch?v=HiNrFT280_Y description=When faced with multiplying whole numbers and fractions, understanding these two approaches will help solve the problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-fract-and-whole/e/multiplying_fractions_by_integers?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-fract-and-whole/v/multiplying-fractions-and-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-mult-fract-and-whole/v/multiplying-fractions-and-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting decimals: example 2 | Arithmetic operations | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/MufbvU4tGh8/default.jpg URL=http://www.youtube.com/watch?v=MufbvU4tGh8 description=How are fractions and ratios the same? How are they different? Is 2:5 the same as 2/5? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-sub-decimals/e/subtracting_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-multiplication/v/multiplication-6-multiple-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-sub-decimals/v/subtracting-decimals-up-to-hundredths?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another example constructing box plot | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/oajrmwCALmc/default.jpg URL=http://www.youtube.com/watch?v=oajrmwCALmc description=Learn how to create a box plot. The data set used in this example has 14 data points. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/e/creating_box_and_whisker_plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/interpreting-box-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/box-and-whisker-plot-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Box and whisker plot exercise example | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/m6xURMj2ztk/default.jpg URL=http://www.youtube.com/watch?v=m6xURMj2ztk description=Learn how to create a box plot. The data set used in this example has 11 data points. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/e/creating_box_and_whisker_plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/another-example-constructing-box-plot?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/constructing-a-box-and-whisker-plot?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadrilateral on the coordinate plane | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/zxy4KAiSPIc/default.jpg URL=http://www.youtube.com/watch?v=zxy4KAiSPIc description=In this example we are given the coordinates of the vertices and asked to construct the resulting polygon (specifically a quadrilateral). This is fun! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane/e/drawing-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/dot-plot/v/ways-to-represent-data?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane/v/analyzing-polygon-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallelogram on the coordinate plane | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/8ToCxaB7EOE/default.jpg URL=http://www.youtube.com/watch?v=8ToCxaB7EOE description=Remember our discussion of the coordinate plane? Sure you do! Let's graph the given coordinates of three of the polygon vertices, and find where the 4th vertex is. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane/e/drawing-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane/v/constructing-polygon-on-coordinate-plane-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-surface-area/v/surface-area-from-net?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume of a rectangular prism: word problem | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/CCysGY2cXUo/default.jpg URL=http://www.youtube.com/watch?v=CCysGY2cXUo description=This is a cool word problem that puts together what we're learning about finding the volume of rectangular prisms. Follow along with Sal closely...he does a great job explaining. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume-word-problems-with-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-surface-area/v/nets-of-polyhedra?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume of a rectangular prism: fractional cubes | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/tVDslyeLefU/default.jpg URL=http://www.youtube.com/watch?v=tVDslyeLefU description=Another way of finding the volume of a rectangular prism involves dividing it into fractional cubes, finding the volume of one, and then multiplying that area by the number of cubes that fit into our rectangular prism. Watch this explanation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_unit_cubes_2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/marbles-in-tank-volume?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume of a rectangular prism: fractional dimensions | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/EJTPGyWqhqc/default.jpg URL=http://www.youtube.com/watch?v=EJTPGyWqhqc description=Think of a rectangular prism as a 3 dimensional rectangle. To find the volume of a rectangular prism let's start by finding the volume of a rectangle, and go from there. What do you think we do next?? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-breaking-up-shape?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding area by breaking up the shape | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/loAA3TCNAvU/default.jpg URL=http://www.youtube.com/watch?v=loAA3TCNAvU description=Don't be intimidated by odd looking geometric figures and being asked to find its area. In this example you'll understand that breaking up the figure into smaller geometric shapes that are regular make the task a lot easier. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/e/area-of-quadrilaterals-and-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/v/volume-of-a-rectangular-prism-with-fractional-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-comparisons?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding area by rearranging parts | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/MamrTJ7V_Vg/default.jpg URL=http://www.youtube.com/watch?v=MamrTJ7V_Vg description=Sometimes it helps to rearrange the parts of geometric figures to find the area. That's what we're going to do here. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/e/area-of-quadrilaterals-and-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-breaking-up-shape?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-of-a-kite?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the area of a strange quadrilateral on a grid | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/gkifo46--JA/default.jpg URL=http://www.youtube.com/watch?v=gkifo46--JA description=Again, some quadrilaterals can be oddly shaped so break it up into shapes where finding the area is more easily determined. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area-shapes-grid/e/area-of-triangles-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/v/area-of-a-trapezoid-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area-shapes-grid/v/area-of-triangle-in-grid?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to describe real-world situations with inequalities | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/h8kt1knmmrM/default.jpg URL=http://www.youtube.com/watch?v=h8kt1knmmrM description=Learn how to write inequalities to model real-world situation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-inequalities/e/inequalities-in-one-variable-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-dependent-independent/v/dependent-and-independent-variables-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-inequalities/v/inequalities-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find mistakes in one step equations | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/xKhU3iMKRiw/default.jpg URL=http://www.youtube.com/watch?v=xKhU3iMKRiw description=Learn how to spot mistakes in someone else's work as they attempt to solve one-step equations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-equation-mistakes/e/find-the-mistake-in-solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-inequalities/v/testing-solutions-to-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-super-yoga/v/constructing-basic-equations-examples?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to write one-step equations for word problems | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/2REbsY4-S70/default.jpg URL=http://www.youtube.com/watch?v=2REbsY4-S70 description=Learn how to write basic equations to model real-world situations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-super-yoga/e/equations-in-one-variable-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-equation-mistakes/v/finding-mistakes-in-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-super-yoga/v/super-yoga-plans-solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to solve one-step equations with fractions and decimals | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/XD-FDGdWnR8/default.jpg URL=http://www.youtube.com/watch?v=XD-FDGdWnR8 description=Learn how to solve one-step addition and subtraction equations that have fractions and decimals in them. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-add-sub-equations/e/one-step-add-sub-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/v/simple-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-add-sub-equations/v/solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to use the distributive property with variables | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/Jp25LHI9wII/default.jpg URL=http://www.youtube.com/watch?v=Jp25LHI9wII description=Learn how to apply the distributive property to algebraic expressions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/e/distributive-property-with-variables?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/v/distributive-property-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/v/distributive-property-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to use the distributive property to factor out the greatest common factor | Khan Academy thumb=https://i.ytimg.com/vi/t7OkENcBrxs/default.jpg URL=http://www.youtube.com/watch?v=t7OkENcBrxs description=Learn how to apply the distributive property to factor numerical expressions (no variables). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/e/distributive_property?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/v/distributive-property-with-variables-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/v/the-distributive-property-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to write algebraic expressions from word problems | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/C_KffdI34ZU/default.jpg URL=http://www.youtube.com/watch?v=C_KffdI34ZU description=Learn how to write expressions with variables to describe situations described in word problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-alg-expression-word-problems/e/writing-basic-algebraic-expressions-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-distributive-property/v/the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-alg-expression-word-problems/v/writing-basic-expressions-from-word-problems-examples?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to write basic algebraic expressions from word problems | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/lq-2gX3NKCM/default.jpg URL=http://www.youtube.com/watch?v=lq-2gX3NKCM description=Learn how to write basic expressions with variables to describe situations described in word problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-alg-expression-word-problems/e/writing-expressions-with-variables-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-alg-expression-word-problems/v/more-fancy-expressions-from-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/v/writing-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to write basic expressions with variables | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/640-86yn2wM/default.jpg URL=http://www.youtube.com/watch?v=640-86yn2wM description=Learn how to write basic algebraic expressions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/e/writing-expressions-with-variables-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/v/writing-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-parts-of-expressions/v/expression-terms-factors-and-coefficients?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What are terms, factors, and coefficients in algebraic expressions? | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/9_VCk9tWT0Y/default.jpg URL=http://www.youtube.com/watch?v=9_VCk9tWT0Y description=This video explains what the words term, factor, and coefficient mean. Think of an expression as a sentence. A sentence has parts, and so does an algebraic expression. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-parts-of-expressions/e/identifying-parts-of-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-writing-expressions/v/writing-expressions-with-variables-examples?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-7th-evaluating-expressions-word-problems/v/evaluating-exponential-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thinking about the changing values of variables and expressions | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/UvDcEvDC4vg/default.jpg URL=http://www.youtube.com/watch?v=UvDcEvDC4vg description=Explore how the value of an algebraic expression changes as the value of its variable changes. The algebraic expressions used in this video are 100-x, 5/x + 5, and (3y)/(2y). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-substitution/e/expression-value-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-7th-evaluating-expressions-word-problems/v/evaluate-a-formula-using-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-substitution/v/evaluating-expressions-in-two-variables-with-decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to evaluate expressions in two variables with decimals and fractions | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/GmD7Czmol0k/default.jpg URL=http://www.youtube.com/watch?v=GmD7Czmol0k description=Learn how to evaluate expressions that have two different variables in them by using a technique called substitution (or "plugging in"). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-substitution/e/evaluating-expressions-in-two-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-substitution/v/expression-value-change-examples?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-substitution/v/evaluating-expressions-in-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to evaluate expressions with two variables | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/S_OX3ByvBSc/default.jpg URL=http://www.youtube.com/watch?v=S_OX3ByvBSc description=We've done a few examples together where we were faced with 1 variable. Why not try one that has 2 variables? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-substitution/e/evaluating_expressions_2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-evaluating-expressions/v/variables-and-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/coordinate-plane-word-problems-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: have all the points been graphed? | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/b9H22F0Qbgw/default.jpg URL=http://www.youtube.com/watch?v=b9H22F0Qbgw description=Some of the given ordered pairs are already graphed on the coordinate plane in this example, but not all of them. Can you tell which haven't? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/e/identifying_points_1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/quadrants-of-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/plot-ordered-pairs?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order of operations examples: exponents | Arithmetic operations | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/_jiI0AV8Vr4/default.jpg URL=http://www.youtube.com/watch?v=_jiI0AV8Vr4 description=Exponents are near the top of the food chain when it comes to order of operations. Let's do some examples together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-order-of-operations/e/order_of_operations_2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-order-of-operations/v/order-of-operations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-order-of-operations/v/introduction-to-order-of-operations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The zeroth power | Arithmetic operations | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/TWv6f7rwjF4/default.jpg URL=http://www.youtube.com/watch?v=TWv6f7rwjF4 description=Learn why a number raised to the zero power equals 1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents/e/positive_and_zero_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents/v/powers-of-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-exponents/v/introduction-to-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing decimals with hundredths | Arithmetic operations | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/Hrjr5f5pZ84/default.jpg URL=http://www.youtube.com/watch?v=Hrjr5f5pZ84 description=Decimal divisors in the hundredths place can be a little confusing. In this video we'll show you how to move the decimal and make it a whole number. Pretty nifty! Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/e/dividing_decimals_3?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/v/dividing-decimals-completely?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/v/dividing-a-whole-number-by-a-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing by two digits example 1 | Arithmetic operations | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/uCBm8iDyg1s/default.jpg URL=http://www.youtube.com/watch?v=uCBm8iDyg1s description=There's a little bit of an "art" to dividing numbers by two or more digits. Let us show you... Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-division/e/division_3?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-division/v/dividing-by-a-two-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-mult-decimals/v/more-involved-multiplying-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting decimals example 2 | Arithmetic operations | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/lDXaju6JoQ0/default.jpg URL=http://www.youtube.com/watch?v=lDXaju6JoQ0 description=In this example where we subtract decimals we do so up to the thousandths place. It's a little tricky, but not if we do it together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-sub-decimals/e/subtracting_decimals_2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-add-sub-decimals-word-problems/v/adding-decimals-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-sub-decimals/v/subtracting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing distributions with dot plots (example problem) | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/KXDOOmquZag/default.jpg URL=http://www.youtube.com/watch?v=KXDOOmquZag description=Sal examines two distributions in dot plots to draw conclusions about the times of Olympic swimmers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-population-sampling/e/comparing-populations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade This is the last video in our 7th grade subject! Now move on to our first video in 8th grade: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/v/converting-a-fraction-to-a-repeating-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-population-sampling/v/reasonable-samples?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Count outcomes using tree diagram | Statistics and probability | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/Zxvc6iPKdec/default.jpg URL=http://www.youtube.com/watch?v=Zxvc6iPKdec description=We'll use a tree diagram to visualize and count all the possible outcomes. This helps us to determine the probability. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/e/fundamental-counting-principle?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-population-sampling/v/reasonable-samples?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/counting-pot-and-flower-scenarios?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Construct a triangle with constraints | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/E78ji1uBtSA/default.jpg URL=http://www.youtube.com/watch?v=E78ji1uBtSA description=Here's a challenge: in this problem we are given constraints and asked to construct a triangle. It can be done! You'll learn about degenerate triangles, too. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes/e/constructing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes/v/vertical-slice-of-rectangular-pyramid?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes/v/constructing-right-isosceles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Construct a right isosceles triangle | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/lohMwoq3WFA/default.jpg URL=http://www.youtube.com/watch?v=lohMwoq3WFA description=Can you build a triangle that is both a right triangle and an isosceles triangle? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes/e/constructing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes/v/constructing-triangles-with-constraints?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/pie-splitting?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find measure of angles in a word problem | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/3u9Ux29MSXE/default.jpg URL=http://www.youtube.com/watch?v=3u9Ux29MSXE description=Solve this word problem to find the measure of angles. In this example you'll split up a pie (don't forget to share!) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/e/solving-for-unknown-angles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-constructing-slicing-geometric-shapes/v/constructing-right-isosceles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/solving-for-unknown-angles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find measure of vertical angles | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/TOobWKx1xe0/default.jpg URL=http://www.youtube.com/watch?v=TOobWKx1xe0 description=Given two intersecting lines and the measure of vertical angles, watch as we solve to find the measure of the remaining angles. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/e/solving-for-unknown-angles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/pie-splitting?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/angles-at-the-intersection-of-two-lines?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find the volume of rectangles inside rectangles | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/AxHAQ5l45FE/default.jpg URL=http://www.youtube.com/watch?v=AxHAQ5l45FE description=How many crates can we fit into a boxcar? We'll explain that there's more than one way to solve for the volume in this problem. Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/angle-basics?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area/v/solid-geometry-volume?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find the volume of a ring | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/ViFLPsLTO1k/default.jpg URL=http://www.youtube.com/watch?v=ViFLPsLTO1k description=See if you can find the incremental volume of a ring in cubic inches. You'll need to put to use your knowledge of how to measure volume. Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area/v/solid-geometry-volume?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/radius-change-impact?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Impact of a radius change on the area of a circle | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/GB9Rqsah2gs/default.jpg URL=http://www.youtube.com/watch?v=GB9Rqsah2gs description=If we change the radius of a circle, how does the circumference and area change? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/e/area-and-circumference-of-circles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-volume-surface-area/v/volume-of-gold-ring?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/area-of-shaded-region?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a shaded region | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/gbGghzo7yEM/default.jpg URL=http://www.youtube.com/watch?v=gbGghzo7yEM description=Here's a fun one: find the area of a shaded region where you first determine the area of a square and then the area of a circle. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/e/area-and-circumference-of-circles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/radius-change-impact?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/circumference-from-area?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Circumference of a circle | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/Rcb7ZUTOQ1I/default.jpg URL=http://www.youtube.com/watch?v=Rcb7ZUTOQ1I description=Here we find the circumference, the distance around a circle, given the area. We're building on our knowledge of the parts of circle. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/e/area-and-circumference-of-circles?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/area-of-shaded-region?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/area-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to make a scale drawing | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/f-gCYOCFMYc/default.jpg URL=http://www.youtube.com/watch?v=f-gCYOCFMYc description=An urban planner needs your help in creating a scale drawing. Let's use our knowledge about scale factor, length, and area to assist. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/e/constructing-scale-drawings?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-area-circumference/v/circles-radius-diameter-and-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solve a scale drawing word problem | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/EgOyJJxuuP8/default.jpg URL=http://www.youtube.com/watch?v=EgOyJJxuuP8 description=See how we solve a word problem by using a scale drawing and finding the scale factor. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/e/interpreting-scale-drawings?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/constructing-scale-drawings?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawings-example?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting a scale drawing | Geometry | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/byjmR7JBXKc/default.jpg URL=http://www.youtube.com/watch?v=byjmR7JBXKc description=Understand how a scale drawing is converted into real numbers using the scale factor. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/e/interpreting-scale-drawings?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-two-step-inequalities/v/writing-and-using-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Banana proportionality | Rated and proportional relationships | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/bJb4n19sFrs/default.jpg URL=http://www.youtube.com/watch?v=bJb4n19sFrs description=A proportionality problem about eating bananas Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/e/analyzing-and-identifying-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-graphs-proportions/v/identifying-proportional-relationships-visually?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/movie-ticket-proportionality?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Movie ticket proportionality | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/-YYTUTrxl28/default.jpg URL=http://www.youtube.com/watch?v=-YYTUTrxl28 description=When going to the movies, is the price you pay proportional to the number of tickets you buy? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/e/analyzing-and-identifying-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/banana-proportionality?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/analyzing-and-identifying-proportional-relationships-ex3?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Testing whether area is proportional to side length | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/Hzz5p0qlObs/default.jpg URL=http://www.youtube.com/watch?v=Hzz5p0qlObs description=Is the area of a square proportional to the side length of the square? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/e/analyzing-and-identifying-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/analyzing-and-identifying-proportional-relationships-ex3?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/proportionality-between-side-length-and-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proportionality between side length and perimeter | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/9nH3A4riVxs/default.jpg URL=http://www.youtube.com/watch?v=9nH3A4riVxs description=Is the perimeter of a square proportional to the side length of the square? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/e/analyzing-and-identifying-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/testing-whether-area-is-proportional-to-side-length?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/introduction-to-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rate problem using fractions | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/d8vvVjfTbYY/default.jpg URL=http://www.youtube.com/watch?v=d8vvVjfTbYY description=One common application of rate is determining speed. Watch as we solve a rate problem finding speed in meters per second using distance (in meters) and time (in seconds). Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/introduction-to-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates/v/determining-rates-with-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding variables representing integers on number line | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/wRBPzExOH2A/default.jpg URL=http://www.youtube.com/watch?v=wRBPzExOH2A description=Let's get some practice thinking about adding and subtracting variables representing positive and negative numbers on the number line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-negative-numbers-with-variables/e/understanding-addition-and-subtraction-with-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals/v/decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-negative-numbers-with-variables/v/substitution-with-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Substitution with negative numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/XkRD9lv_y44/default.jpg URL=http://www.youtube.com/watch?v=XkRD9lv_y44 description=Practice substituting positive and negative values for variables. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-negative-numbers-with-variables/e/integer-addition-and-subtraction-with-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-negative-numbers-with-variables/v/understanding-variables-representing-integers-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-properties-of-addition-and-subtraction/v/equivalent-expressions-with-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent expressions with negative numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/fa__960kzVE/default.jpg URL=http://www.youtube.com/watch?v=fa__960kzVE description=Equivalent expressions with negative numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-properties-of-addition-and-subtraction/e/negative-number-addition-and-subtraction-equivalent-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-negative-numbers-with-variables/v/substitution-with-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/v/justification-for-a-b-b-a?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Justification for |a - b| = |b - a| | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/rCGHUXSd15s/default.jpg URL=http://www.youtube.com/watch?v=rCGHUXSd15s description=This is a more formal justification for why |a - b| = |b - a| than we saw in previous videos. Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-properties-of-addition-and-subtraction/v/equivalent-expressions-with-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/v/interpreting-absolute-value-as-distance?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting absolute value as distance | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/K759mIqpvOU/default.jpg URL=http://www.youtube.com/watch?v=K759mIqpvOU description=In this video, we work through a bunch of examples that stretch our thinking on absolute value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/e/constructing-and-interpreting-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/v/justification-for-a-b-b-a?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/v/absolute-value-as-distance-between-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value as distance between numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/t4xOkpP8FgE/default.jpg URL=http://www.youtube.com/watch?v=t4xOkpP8FgE description=In this video, we think about what |a-b| really means, and we verify that |a-b| = |b-a| by looking at an example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/e/absolute-value-to-find-distance?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/v/interpreting-absolute-value-as-distance?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-word-problems-w-negatives/v/interpreting-negative-number-statements?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting negative number statements | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/ioH0PUdUW3M/default.jpg URL=http://www.youtube.com/watch?v=ioH0PUdUW3M description=The examples in this video use negative numbers to represent real world situations. What are these negative numbers really telling us? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-word-problems-w-negatives/e/negative-number-addition-and-subtraction--interpretation-problems?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-absolute-value/v/absolute-value-as-distance-between-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-word-problems-w-negatives/v/finding-initial-temperature-from-temperature-changes?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding initial temperature from temperature changes | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/t4jDcc8IIBM/default.jpg URL=http://www.youtube.com/watch?v=t4jDcc8IIBM description=In this video, we figure out the temperature in Fairbanks, Alaska by adding and subtracting negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-word-problems-w-negatives/e/adding-negative-numbers-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-word-problems-w-negatives/v/interpreting-negative-number-statements?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-word-problems-w-negatives/v/negative-number-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting integer expressions | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/ahib7LGDysQ/default.jpg URL=http://www.youtube.com/watch?v=ahib7LGDysQ description=Interpreting integer expressions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/e/understanding-addition-and-subtraction-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-fractions/v/adding-fractions-with-different-signs?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/v/integer-equations-to-describe-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integer equations to describe diagram | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/Ddvw2wEBfpc/default.jpg URL=http://www.youtube.com/watch?v=Ddvw2wEBfpc description=Integer equations to describe diagram Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/e/negative-number-addition-and-subtraction--equations-and-number-lines?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/v/interpreting-integer-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/v/adding-negative-numbers-on-number-line-examples?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding negative numbers on number line examples | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/3CKpidALDEg/default.jpg URL=http://www.youtube.com/watch?v=3CKpidALDEg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/e/adding-negative-numbers-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/v/integer-equations-to-describe-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/v/even-more-negative-number-practice?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rewriting a fraction to decimal example 2 | Fractions | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/iYVi_YVOyvs/default.jpg URL=http://www.youtube.com/watch?v=iYVi_YVOyvs description="Learn how to rewrite a fraction as a decimal. The example in this video: 6/12 -- 0.5 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-frac-to-dec/e/fractions_as_division_by_a_multiple_of_10?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-frac-to-dec/v/rewriting-fraction-as-a-decimal-to-the-hundredths-place?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-frac-to-dec/v/rewriting-a-fraction-as-a-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much ""space"" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring ""powers"" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to solve one-step multiplication and division equations with fractions and decimals thumb=https://i.ytimg.com/vi/a3acutLstF8/default.jpg URL=http://www.youtube.com/watch?v=a3acutLstF8 description="Learn how to solve equations in one step by multiplying or dividing a number from both sides. These problems involve decimals and fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/e/one-step-mult-div-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/v/solving-one-step-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-mult-div-equations/v/solving-one-step-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy "/description type=video name=How to find equivalent expressions by combining like terms and using the distributive property thumb=https://i.ytimg.com/vi/rHNY01R2VSQ/default.jpg URL=http://www.youtube.com/watch?v=rHNY01R2VSQ description="Equivalent algebraic expressions exercise Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-equivalent-expressions/e/equivalent-forms-of-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/v/variables-expressions-and-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-combining-like-terms/v/combining-like-terms-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy "/description type=video name=Basic linear equation word problem | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/roHvNNFXr4k/default.jpg URL=http://www.youtube.com/watch?v=roHvNNFXr4k description="Learn how to construct and solve a basic linear equation to solve a word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/e/linear-equation-world-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/v/application-problems-with-equation-in-one-variable?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-8th-two-step-equations-dec-frac/v/mistakes-in-solving-equations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=More missing value addition and subtraction problems with negative numbers | Khan Academy thumb=https://i.ytimg.com/vi/KNGa11O2uLE/default.jpg URL=http://www.youtube.com/watch?v=KNGa11O2uLE description="Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/e/integer-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-sub-neg-number-line/v/adding-negative-numbers-on-number-line-examples?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/v/negative-number-practice?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy"/description type=video name=Increasing political battles over slavery in mid 1800s | US History | Khan Academy thumb=https://i.ytimg.com/vi/09YsW2U-7kw/default.jpg URL=http://www.youtube.com/watch?v=09YsW2U-7kw description=Kim and Sal talk about increased tensions between slave and free states as new territory is added after Mexican-American War and from Compromise of 1850 (especially the Fugitive Slave Act). Watch the next lesson: https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/start-of-the-civil-war?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/slavery-and-missouri-compromise-in-early-1800s?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slavery and Missouri Compromise in early 1800s | US History | Khan Academy thumb=https://i.ytimg.com/vi/d9hQk2Mmpcw/default.jpg URL=http://www.youtube.com/watch?v=d9hQk2Mmpcw description=US History Fellow Kim Kutz explains how slavery was an issue at the birth of the United States and how the issue became more and more central as the country expanded. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/increasing-political-battles-over-slavery-in-mid-1800s?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/birth-of-the-us-constitution?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuition for area with fractional side lengths thumb=https://i.ytimg.com/vi/UmSe4rh__iU/default.jpg URL=http://www.youtube.com/watch?v=UmSe4rh__iU description=Intuition for area with fractional side lengths/description type=video name=Coordinates for triangle example thumb=https://i.ytimg.com/vi/-oP8_U1To34/default.jpg URL=http://www.youtube.com/watch?v=-oP8_U1To34 type=video name=Example finding area with fractional sides thumb=https://i.ytimg.com/vi/C3RPDVGZdFw/default.jpg URL=http://www.youtube.com/watch?v=C3RPDVGZdFw description=Example finding area with fractional sides/description type=video name=Visually understanding multiplying fractions and whole numbers thumb=https://i.ytimg.com/vi/XHZOfk6xC-0/default.jpg URL=http://www.youtube.com/watch?v=XHZOfk6xC-0 description=Visually understanding multiplying fractions and whole numbers/description type=video name=Multiplying fractions by whole numbers on the number line thumb=https://i.ytimg.com/vi/QDvKqUc7Mj4/default.jpg URL=http://www.youtube.com/watch?v=QDvKqUc7Mj4 description=Multiplying fractions by whole numbers on the number line/description type=video name=Adding mixed numbers with regrouping thumb=https://i.ytimg.com/vi/I01O0r8b-po/default.jpg URL=http://www.youtube.com/watch?v=I01O0r8b-po description=Adding mixed numbers with regrouping/description type=video name=Subtracting mixed numbers with regrouping thumb=https://i.ytimg.com/vi/r3M68V9Joac/default.jpg URL=http://www.youtube.com/watch?v=r3M68V9Joac description=Subtracting mixed numbers with regrouping/description type=video name=Visually subtracting fractions with unlike denominators thumb=https://i.ytimg.com/vi/poGjjX_VNbM/default.jpg URL=http://www.youtube.com/watch?v=poGjjX_VNbM description=Visually subtracting fractions with unlike denominators/description type=video name=Visually adding fractions with unlike denominators thumb=https://i.ytimg.com/vi/fvtv2uYjo_E/default.jpg URL=http://www.youtube.com/watch?v=fvtv2uYjo_E description=Visually adding fractions with unlike denominators/description type=video name=Solving for the missing fraction thumb=https://i.ytimg.com/vi/OPpmp-kAuE4/default.jpg URL=http://www.youtube.com/watch?v=OPpmp-kAuE4 description=Solving for the missing fraction/description type=video name=Adding and subtracting multiple fractions with unlike denominators thumb=https://i.ytimg.com/vi/HSf9O1Domms/default.jpg URL=http://www.youtube.com/watch?v=HSf9O1Domms description=Adding and subtracting multiple fractions with unlike denominators/description type=video name=Subtracting fractions with unlike denominators thumb=https://i.ytimg.com/vi/2DPivVFCdqA/default.jpg URL=http://www.youtube.com/watch?v=2DPivVFCdqA description=Subtracting fractions with unlike denominators/description type=video name=Adding fractions with unlike denominators thumb=https://i.ytimg.com/vi/bcCLKACsYJ0/default.jpg URL=http://www.youtube.com/watch?v=bcCLKACsYJ0 description=Adding fractions with unlike denominators/description type=video name=Area of parallelogram on coordinate plane thumb=https://i.ytimg.com/vi/xTcwnhyPN5E/default.jpg URL=http://www.youtube.com/watch?v=xTcwnhyPN5E description=Area of parallelogram on coordinate plane/description type=video name=Finding coordinates of missing vertex example thumb=https://i.ytimg.com/vi/WkiPVButdeg/default.jpg URL=http://www.youtube.com/watch?v=WkiPVButdeg description=Finding coordinates of missing vertex example/description type=video name=Dimensions of rectangle from coordinates example thumb=https://i.ytimg.com/vi/fEpINE1fjgc/default.jpg URL=http://www.youtube.com/watch?v=fEpINE1fjgc description=Dimensions of rectangle from coordinates example/description type=video name=Coordinates of rectangle example thumb=https://i.ytimg.com/vi/s2wmcnZi6kE/default.jpg URL=http://www.youtube.com/watch?v=s2wmcnZi6kE description=Coordinates of rectangle example/description type=video name=Drawing polygons exercise example thumb=https://i.ytimg.com/vi/yZw8z5BIwuQ/default.jpg URL=http://www.youtube.com/watch?v=yZw8z5BIwuQ description=Drawing polygons exercise example/description type=video name=Surface area of a box using nets thumb=https://i.ytimg.com/vi/vl1uMOYFyf4/default.jpg URL=http://www.youtube.com/watch?v=vl1uMOYFyf4 description=Surface area of a box using nets/description type=video name=Surface area of a box thumb=https://i.ytimg.com/vi/1iSBNSYhvIU/default.jpg URL=http://www.youtube.com/watch?v=1iSBNSYhvIU description=Surface area of a box/description type=video name=Finding surface area using net thumb=https://i.ytimg.com/vi/mtMNvnm71Z0/default.jpg URL=http://www.youtube.com/watch?v=mtMNvnm71Z0 description=Finding surface area using net/description type=video name=Area of triangles intuition | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/rRTXKQpblEc/default.jpg URL=http://www.youtube.com/watch?v=rRTXKQpblEc description=Understand why the formula for the area of a triangle is one half base times height, which is half of the area of a parallelogram. Watch the next lesson: https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/intuition-for-area-of-a-parallelogram?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/perimeter-and-area-basics?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of parallelograms intuition | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/hm17lVaor0Q/default.jpg URL=http://www.youtube.com/watch?v=hm17lVaor0Q description=Understand why the formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle. Watch the next lesson:https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/area-of-a-trapezoid-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-foundations/hs-geo-area/v/intuition-for-area-of-a-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of systems of inequalities word problem | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/C_7Tqk9fw4k/default.jpg URL=http://www.youtube.com/watch?v=C_7Tqk9fw4k description=Given the graph of a two-variable linear inequality that models a context about chopping vegetables, Sal finds if there's enough time to chop! Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/analyzing-structure-with-linear-inequalities-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/interpreting-system-of-inequalities-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving systems of inequalities word problem | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ZTKAn9YNbNY/default.jpg URL=http://www.youtube.com/watch?v=ZTKAn9YNbNY description=Given a system of linear inequalities that models a context about making chairs and tables, Sal finds how many can be made. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/graph-of-system-of-inequalities-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/creating-system-of-inequalities-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing systems of inequalities word problem | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/jRnkxSfwIpU/default.jpg URL=http://www.youtube.com/watch?v=jRnkxSfwIpU description=Sal models a word problem about baking cupcakes and muffins by creating a system of linear inequalities. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/interpreting-system-of-inequalities-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/u06-l3-t1-we3-graphing-systems-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of two-variable inequalities word problem | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/DhiiGFuUE9I/default.jpg URL=http://www.youtube.com/watch?v=DhiiGFuUE9I description=Given the graph of a two-variable linear inequality that models a context about dog biscuits, Sal finds if the dog can get enough biscuits. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/u06-l3-t1-we3-graphing-systems-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/solving-two-variable-linear-inequality-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing two-variable inequalities word problem | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/MHgi8ZQCG0I/default.jpg URL=http://www.youtube.com/watch?v=MHgi8ZQCG0I description=Sal solves a word problem about scores in a chess tournament by creating a two-variable linear inequality. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/analyzing-two-variable-linear-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-graphing-inequalities/v/graphing-systems-of-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting two-variable inequalities word problem | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/TTYDbGXgcCk/default.jpg URL=http://www.youtube.com/watch?v=TTYDbGXgcCk description=Sal analyzes a two-variable linear inequality that models a context about YouTube videos. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/solving-two-variable-linear-inequality-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/constructing-two-variable-linear-inequality-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving two-variable inequalities word problem | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ysdY1iX_XCs/default.jpg URL=http://www.youtube.com/watch?v=ysdY1iX_XCs description=Given a two-variable linear inequality that models a context about watering plants, Sal finds how many flowers can be watered. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/interpreting-visual-linear-inequality-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-two-var-ineq/math1-modeling-with-linear-inequalities/v/analyzing-two-variable-linear-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constraining solutions to two variable linear inequalities thumb=https://i.ytimg.com/vi/a5YZ7-JRSUE/default.jpg URL=http://www.youtube.com/watch?v=a5YZ7-JRSUE description=Constraining solutions to two variable linear inequalities/description type=video name=Visually completing solutions of systems of two variables thumb=https://i.ytimg.com/vi/BGyrSuW3GCg/default.jpg URL=http://www.youtube.com/watch?v=BGyrSuW3GCg description=Visually completing solutions of systems of two variables/description type=video name=System of equations word problem: walk & ride | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Q0tTfe2lKIc/default.jpg URL=http://www.youtube.com/watch?v=Q0tTfe2lKIc description=Systems of equations can be used to solve many real-world problems. In this video, we solve a problem about distances walking and riding bus to school. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-systems-of-linear-equations-word-problems/v/systems-word-problem-with-no-solution?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-systems-of-linear-equations-word-problems/v/ex-1-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=System of equations word problem: infinite solutions | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/njb6xYF0GZ0/default.jpg URL=http://www.youtube.com/watch?v=njb6xYF0GZ0 description=Systems of equations can be used to solve many real-world problems. In this video, we solve a problem about a vegetable framer. In this case, the problem has infinite solutions, which means there's not enough information to find a single solution. Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems-of-linear-equations-word-problems/v/solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems-of-linear-equations-word-problems/v/systems-word-problem-with-no-solution?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=System of equations word problem: no solution | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/SRn3WhhS6vs/default.jpg URL=http://www.youtube.com/watch?v=SRn3WhhS6vs description=Systems of equations can be used to solve many real-world problems. In this video, we solve a problem about a toy factory. In this case, the problem has no viable solution, which means the information describes an impossible situation. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-systems-of-linear-equations-word-problems/v/system-with-not-enough-information?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-systems-of-linear-equations-word-problems/v/system-of-equations-distances-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number of solutions to a system of equations algebraically | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ogEddosP1G8/default.jpg URL=http://www.youtube.com/watch?v=ogEddosP1G8 description=Sal solves several examples where he reasons about the number of solutions of systems of equations using algebraic reasoning. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-possible-number-of-solutions-of-systems-of-linear-equations/v/understanding-systems-of-equations-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-possible-number-of-solutions-of-systems-of-linear-equations/v/practice-thinking-about-number-of-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: non-equivalent systems of equations | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/PSDQdwL1T0M/default.jpg URL=http://www.youtube.com/watch?v=PSDQdwL1T0M description=Sal analyzes a couple of systems of equations and determines whether they have the same solution as a third given system. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-solving-systems-of-equations-with-substitution/v/solving-systems-with-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/identifying-equivalent-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: equivalent systems of equations | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/XstL_x4ucm4/default.jpg URL=http://www.youtube.com/watch?v=XstL_x4ucm4 description=Sal analyzes a couple of systems of equations and determines whether they have the same solution as a third given system. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/identifying-non-equivalent-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/why-we-do-the-same-thing-to-both-sides-basic-systems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of equations with graphing: exact & approximate solutions | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/o4pbAQgJYjI/default.jpg URL=http://www.youtube.com/watch?v=o4pbAQgJYjI description=Sal solves a system of two linear equations in standard form, and then approximates the solution of a system whose solution isn't clearly visible. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/king-s-cupcakes-solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-introduction-to-systems-of-linear-equations/v/solving-systems-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sequences word problems | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/yYGf7xn7TyM/default.jpg URL=http://www.youtube.com/watch?v=yYGf7xn7TyM description=Sal solves two word problems about modeling real-world situations with arithmetic and geometric sequences. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-general-sequences/v/recursive-formulas-for-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-geometric-sequences/v/converting-an-explicit-function-to-a-recursive-function?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Competitive inhibition | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/O23i38B2EmA/default.jpg URL=http://www.youtube.com/watch?v=O23i38B2EmA description=Seeing how an inhibitor can "compete" for an enzyme with the intended substrate. This often happens at the active site, but the inhibitor could also bind at an allosteric site. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/enzyme-regulation/v/noncompetitive-inhibition?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/enzyme-regulation/v/enzyme-cofactors-and-coenzymes?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Noncompetitive inhibition | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/4xOsAuj0QZg/default.jpg URL=http://www.youtube.com/watch?v=4xOsAuj0QZg description=Seeing how a noncompetitive inhibitor can bind whether or not the substrate is bound, and vice versa. It will often do this at an allosteric site, but may also bind at or near the active site. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/intro-to-cellular-respiration/v/adenosine-triphosphate?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/enzyme-regulation/v/competitive-inhibition?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Oxidative phosphorylation and the electron transport chain | Khan Academy thumb=https://i.ytimg.com/vi/J30zpvbmw7s/default.jpg URL=http://www.youtube.com/watch?v=J30zpvbmw7s description=Exploring how the oxidation of co-enzymes like NADH to NAD+ can eventually lead to the production of ATP through oxidative phosphorylation and the electron transport chain. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/variations-on-cellular-respiration/v/lactic-acid-fermentation?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/pyruvate-oxidation-and-the-citric-acid-cycle/v/krebs-citric-acid-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of cellular respiration | Cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/9zoS5WGsmpc/default.jpg URL=http://www.youtube.com/watch?v=9zoS5WGsmpc description=Overview of cellular respiration. Includes glycolysis, pyruvate oxidation, the citric acid (Krebs) cycle, and oxidative phosphorylation. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/glycolysis/v/glycolysis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/intro-to-cellular-respiration/v/oxidation-and-reduction-in-cellular-respiration?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pixar in a Box | Welcome to Pixar in a Box | Khan Academy thumb=https://i.ytimg.com/vi/3Iu1Z0h1i1Y/default.jpg URL=http://www.youtube.com/watch?v=3Iu1Z0h1i1Y description=Watch the next lesson: https://www.khanacademy.org/partner-content/pixar/effects/particle/v/effects-overview?utm_source=YT&utm_medium=Desc&utm_campaign=computeranimation Computer Animation on Khan Academy: A collaboration between Pixar Animation Studios and Khan Academy. Sponsored by Disney. Questions/Feedback: piab@khanacademy.org About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computing Animation channel: https://www.youtube.com/channel/UCUj311Am0evWzQJcBsu4fvw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alcohol or ethanol fermentation | Cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/D6mRPgvAEOc/default.jpg URL=http://www.youtube.com/watch?v=D6mRPgvAEOc description=Alcohol or ethanol fermentation, including yeast and its role in bread and wine production. Watch the next lesson: https://www.khanacademy.org/science/biology/photosynthesis/v/adenosine-triphosphate?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/variations-on-cellular-respiration/v/lactic-acid-fermentation?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lactic acid fermentation | Cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/lfeXuK8pbFw/default.jpg URL=http://www.youtube.com/watch?v=lfeXuK8pbFw description=Exploring how the oxidation of co-enzymes like NADH to NAD+ can eventually lead to the production of ATP through oxidative phosphorylation and the electron transport chain. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/variations-on-cellular-respiration/v/lactic-acid-fermentation?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/pyruvate-oxidation-and-the-citric-acid-cycle/v/krebs-citric-acid-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Steps of glycolysis | Cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/ArmlWtDnuys/default.jpg URL=http://www.youtube.com/watch?v=ArmlWtDnuys description=Introduction to glycolysis. Role of glycolysis in producing ATPs and NADHs and converting glucose to pyruvates. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/pyruvate-oxidation-and-the-citric-acid-cycle/v/krebs-citric-acid-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/glycolysis/v/glycolysis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating sequences in recursive form | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/Kjli0Gunkds/default.jpg URL=http://www.youtube.com/watch?v=Kjli0Gunkds description=Sal shows how to evaluate a sequence that is defined with a recursive formula. This definition gives the base case and then defines how to find the subsequent terms using the base case. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-rational-exponents/math1-exp-prop-review/v/multiplying-and-dividing-powers-with-integer-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-modeling-with-sequences/v/modeling-situations-with-arithmetic-and-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recursive formulas for arithmetic sequences | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ViLt2WI0XSg/default.jpg URL=http://www.youtube.com/watch?v=ViLt2WI0XSg description=Explicit formulas for arithmetic sequences Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-arithmetic-sequences/v/finding-the-100th-term-in-a-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-arithmetic-sequences/v/recursive-formula-for-arithmetic-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting recursive & explicit forms of arithmetic sequences | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/GA_yxxeFYBU/default.jpg URL=http://www.youtube.com/watch?v=GA_yxxeFYBU description=Sal is given an arithmetic sequence in explicit form and he converts it to recursive form. Then he does so the other way around! Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-geometric-sequences/v/geometric-sequences-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-arithmetic-sequences/v/finding-the-100th-term-in-a-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Explicit & recursive formulas for geometric sequences | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/8a1a5A3CfdQ/default.jpg URL=http://www.youtube.com/watch?v=8a1a5A3CfdQ description=Sal finds an explicit formula of a geometric sequence given the first few terms of the sequences. Then he explores equivalent forms the explicit formula and finds the corresponding recursive formula. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-constructing-geometric-sequences/v/converting-an-explicit-function-to-a-recursive-function?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-sequences/math1-introduction-to-geometric-sequences/v/using-recursive-formulas-of-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Enzyme cofactors and coenzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/jYR0RlMft8Y/default.jpg URL=http://www.youtube.com/watch?v=jYR0RlMft8Y description=The cofactors and coenzymes (organic cofactors) that help enzymes catalyze reactions Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/enzyme-regulation/v/competitive-inhibition?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/introduction-to-enzymes/v/enzymes?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Video games and violence | Statistical studies | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ahyWUV7AwKw/default.jpg URL=http://www.youtube.com/watch?v=ahyWUV7AwKw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/e/frequencies-of-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/v/analyzing-trends-categorical-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test/v/statistical-significance-on-bus-speeds?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting a trend line | Data and modeling | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/mfX_yUvwJho/default.jpg URL=http://www.youtube.com/watch?v=mfX_yUvwJho description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data/e/linear-models-of-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/two-way-tables/v/two-way-frequency-tables-and-venn-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data/v/smoking-1945-extrapolation?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Smoking in 1945 | Data and modeling | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/d4WE4SnhBDU/default.jpg URL=http://www.youtube.com/watch?v=d4WE4SnhBDU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data/e/linear-models-of-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data/v/interpreting-trend-line?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/v/estimating-the-line-of-best-fit-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebraic midpoint of a segment exercise | Geometry | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/E0TNh9uWesw/default.jpg URL=http://www.youtube.com/watch?v=E0TNh9uWesw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/midpoint_of_a_segment?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/v/angles-formed-by-parallel-lines-and-transversals?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/v/segment-addition?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear equation using segment | Geometry | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/YFqeMzfcyg4/default.jpg URL=http://www.youtube.com/watch?v=YFqeMzfcyg4 description=Well use some algebraic skills to add segments in this example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/e/segment_addition?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/line-segment-algebra/v/midpoint-of-a-segment?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems/v/understanding-systems-of-equations-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Representing and comparing rates | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/F6rtQczAYco/default.jpg URL=http://www.youtube.com/watch?v=F6rtQczAYco description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/e/comparing-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/comparing-proportional-relationships-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing rates | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/kHQCDrWTDv8/default.jpg URL=http://www.youtube.com/watch?v=kHQCDrWTDv8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/e/comparing-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/comparing-proportional-relationships-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-solving-equations/cc-8th-consecutive-integer-problems/v/sum-consecutive-integers?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating with powers of 10 | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/Xl724v0CU7E/default.jpg URL=http://www.youtube.com/watch?v=Xl724v0CU7E description=Learn how to approximate how much larger the world population was than the US population in 2014. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude/e/approximating-with-orders-of-magnitude?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation/v/scientific-notation-i?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude/v/multiplying-multiples-of-powers-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying multiples of powers of 10 | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/tV8cMNYi4q4/default.jpg URL=http://www.youtube.com/watch?v=tV8cMNYi4q4 description=Learn how to multiply (9 * 10^9) (-2 * 10^-3). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude/e/orders-of-magnitude?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-orders-of-magnitude/v/approximating-with-powers-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/products-and-exponents-raised-to-an-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing values with calculator | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/PuRsXST9EZU/default.jpg URL=http://www.youtube.com/watch?v=PuRsXST9EZU description=Learn how to compare 22.9% to √0.45 using a calculator. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/e/approximating-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents/v/negative-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/approximating-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Khan has conversation with MIT Dean of Admissions thumb=https://i.ytimg.com/vi/-u3xaicPnA0/default.jpg URL=http://www.youtube.com/watch?v=-u3xaicPnA0 description=Sal Khan has conversation with MIT Dean of Admissions Stu Schmill./description type=video name=Enzymes | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/A90HKrgUOg0/default.jpg URL=http://www.youtube.com/watch?v=A90HKrgUOg0 description=Enzymes as catalysts for reactions in biological systems; discussion of substrates, active sites, induced fit, and activation energy. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/enzyme-regulation/v/enzyme-cofactors-and-coenzymes?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/introduction-to-enzymes/v/introduction-to-kinetics?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication, division word problems: pedaling how fast? | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/l7h8A6SX5kY/default.jpg URL=http://www.youtube.com/watch?v=l7h8A6SX5kY description=Using multiplication and division to make estimates. Easy? Maybe, but what's more important is that you try. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication/v/understanding-multiplication-through-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/advanced-mult-div-word-problems/v/multi-step-word-problems-with-whole-numbers-exercise-t2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication, division word problems: how many pieces of pizzas? | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/cTveNRjWQYo/default.jpg URL=http://www.youtube.com/watch?v=cTveNRjWQYo description=How many pizzas, pieces per pizza, and eaten pieces were there? Oh, the questions we must answer! It's enough to make you hungry. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/advanced-mult-div-word-problems/v/multi-step-word-problems-with-whole-numbers-exercise-3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/advanced-mult-div-word-problems/v/multi-step-word-problems-with-whole-numbers-exercise-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication, division word problems: how many field goals? | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/anlOhNHlqwg/default.jpg URL=http://www.youtube.com/watch?v=anlOhNHlqwg description=It's time to start putting to practice the multiplication and division skills you've been building. Word problem fun! Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/advanced-mult-div-word-problems/v/multi-step-word-problems-with-whole-numbers-exercise-t2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/partial_quotient_division/v/partial-quotient-method-of-division-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing numbers: intro to remainders | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/BIGX05Mp5nw/default.jpg URL=http://www.youtube.com/watch?v=BIGX05Mp5nw description=Do you like leftovers? (personally, we think they are delicious!). Those leftovers are like remainders in divisions problems. They're not bad. They just...are. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/e/division_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/long-division-with-remainder-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/division-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 4 digits times 1 digit (with carrying) | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/twMdew4Zs8Q/default.jpg URL=http://www.youtube.com/watch?v=twMdew4Zs8Q description=This is getting fun! We're now multiplying FOUR digits times one digit. Remember to carry! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-5-2-digit-times-a-2-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/3-digit-times-1-digit-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 3 digits times 1 digit (with carrying) | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/TqRReFvbpXA/default.jpg URL=http://www.youtube.com/watch?v=TqRReFvbpXA description=We're carrying numbers in this example. Everyone needs a hand now and then, right? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/4-digit-times-1-digit-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/2-digit-times-1-digit-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 2 digits times 1 digit (with carrying) | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/SfxULALs_u8/default.jpg URL=http://www.youtube.com/watch?v=SfxULALs_u8 description=We use something called the standard method which involves writing the larger of the two numbers on top. Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/3-digit-times-1-digit-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/3-digit-times-1-digit-example-no-carrying?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 3 digits times 1 digit | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/4BtXvopHXI8/default.jpg URL=http://www.youtube.com/watch?v=4BtXvopHXI8 description=How about this example? We're going to multiply a 3 digit number by a 1 digit number. Again, no carrying involved. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/2-digit-times-1-digit-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/2-digit-times-1-digit-example-no-carrying?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 2 digits times 1 digit | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/k68CPfcehTE/default.jpg URL=http://www.youtube.com/watch?v=k68CPfcehTE description=Let's start by solving a basic multiplication problem. No carrying of numbers in this example! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/3-digit-times-1-digit-example-no-carrying?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-by-multiples-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying by multiples of 10 | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/jb8mFpA1YI8/default.jpg URL=http://www.youtube.com/watch?v=jb8mFpA1YI8 description=Decompose multiples of ten to multiply. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/2-digit-times-1-digit-example-no-carrying?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/multiplication-and-division-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing with multiplication: Ron and Hermione strength | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/9CZfG3r5JBE/default.jpg URL=http://www.youtube.com/watch?v=9CZfG3r5JBE description=You read that right! We're comparing the strength of Ron and Hermione using multiplication. Who said math has to be boring? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/e/arithmetic_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-by-multiples-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/division-word-problem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Division word problem example 1 | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/Z3qRkxzmYnU/default.jpg URL=http://www.youtube.com/watch?v=Z3qRkxzmYnU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/e/arithmetic_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/multiplication-and-division-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/multiplication-word-problem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication word problem example 1 | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/fZtUn_THXnk/default.jpg URL=http://www.youtube.com/watch?v=fZtUn_THXnk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/e/arithmetic_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/division-word-problem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/multiplying-whole-numbers-and-applications-6?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing with multiplication: basic exercises | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/OCwLwaAQlMA/default.jpg URL=http://www.youtube.com/watch?v=OCwLwaAQlMA description=If you think about it, multiplying is just another way of comparing numbers. How do we compare 4 and 20 using multiplication? Let's find out together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/e/comparing-with-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/multiplying-whole-numbers-and-applications-6?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/delightful_division/v/dividing-whole-numbers-and-applications-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number line 1 | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/ez1MIB8_2O0/default.jpg URL=http://www.youtube.com/watch?v=ez1MIB8_2O0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/e/number_line?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/basic-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/the-idea-of-division?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The idea of division | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/QI6x0KNxiCs/default.jpg URL=http://www.youtube.com/watch?v=QI6x0KNxiCs description=Use an array and understanding of multiplication to divide. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/number-line-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/more-on-the-concept-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on the concept of multiplication | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/vfMx9-rJXuo/default.jpg URL=http://www.youtube.com/watch?v=vfMx9-rJXuo description=Use arrays and repeated addition to multiply. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/the-idea-of-division?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/multiplication-as-groups-of-objects?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication as groups of objects | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/cDpBtkU2cf8/default.jpg URL=http://www.youtube.com/watch?v=cDpBtkU2cf8 description=Use arrays to show different ways to multiply and get the same solution. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/more-on-the-concept-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to multiplication | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/RNxwasijbAo/default.jpg URL=http://www.youtube.com/watch?v=RNxwasijbAo description=Use arrays and repeated addition to visualize multiplication. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/multiplication-as-groups-of-objects?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-borrowing-twice-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ATP hydrolysis mechanism | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/-KE7jTXwNYs/default.jpg URL=http://www.youtube.com/watch?v=-KE7jTXwNYs description=ATP hydrolysis mechanism. How energy is released when ATP is converted to ADP and phosphate. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/atp-reaction-coupling/v/reaction-coupling-to-create-glucose-6-phosphate?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/atp-reaction-coupling/v/adenosine-triphosphate?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reaction coupling to create glucose 6 phosphate | Biology | Khan Academy thumb=https://i.ytimg.com/vi/L8ifD4I1o38/default.jpg URL=http://www.youtube.com/watch?v=L8ifD4I1o38 description=Reaction coupling to create glucose 6 phosphate Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/introduction-to-enzymes/v/introduction-to-kinetics?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/atp-reaction-coupling/v/atp-hydrolysis-mechanism?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Endergonic, exergonic, exothermic, and endothermic reactions | Khan Academy thumb=https://i.ytimg.com/vi/J2L-X2sUigs/default.jpg URL=http://www.youtube.com/watch?v=J2L-X2sUigs description=Endergonic, exergonic, exothermic, and endothermic reactions. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/atp-reaction-coupling/v/adenosine-triphosphate?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/free-energy-tutorial/v/gibbs-free-energy-and-spontaneous-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gibbs free energy and spontaneous reactions | Biology | Khan Academy thumb=https://i.ytimg.com/vi/CHHu-iTwHjg/default.jpg URL=http://www.youtube.com/watch?v=CHHu-iTwHjg description=Gibbs free energy and spontaneous reactions. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/free-energy-tutorial/v/endergonic-exergonic-exothermic-and-endothermic-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/why-heat-increases-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why heat increases entropy | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/cKAF1v5hJoE/default.jpg URL=http://www.youtube.com/watch?v=cKAF1v5hJoE description=Why heat increases entropy„even though some of it can do work! Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/free-energy-tutorial/v/gibbs-free-energy-and-spontaneous-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/second-law-of-thermodynamics-and-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing areas and perimeters of rectangles | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/nLY2bzRfQyo/default.jpg URL=http://www.youtube.com/watch?v=nLY2bzRfQyo description=Compare the areas and perimeters of rectangles to a given rectangle. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/rectangle-area-perimeter-word-pr/v/length-and-width-from-perimeter-and-area?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/v/perimeter-of-a-shape?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number properties terminology 1 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/vOVPusp5-tg/default.jpg URL=http://www.youtube.com/watch?v=vOVPusp5-tg description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/identity-property-of-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/properties-of-numbers-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Properties of numbers 1 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/62NoiGwZmd4/default.jpg URL=http://www.youtube.com/watch?v=62NoiGwZmd4 description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/number-properties-terminology-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/ca-algebra-i-number-properties-and-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Distributive property exercise examples | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xC-fQ0KEzsM/default.jpg URL=http://www.youtube.com/watch?v=xC-fQ0KEzsM description=You'll be a pro applying the distributive property once you've solved these exercise examples with us. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/e/distributive_property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/commutative-law-of-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/distributive-property-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second Law of Thermodynamics and entropy | Biology | Khan Academy thumb=https://i.ytimg.com/vi/axG9HuqViDY/default.jpg URL=http://www.youtube.com/watch?v=axG9HuqViDY description=Second Law of Thermodynamics and entropy: the entropy of the universe constantly increases. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/why-heat-increases-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/the-second-law-of-thermodynamics?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting 1 exercise | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/V758Lz_MuEg/default.jpg URL=http://www.youtube.com/watch?v=V758Lz_MuEg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/counting%20tutorial/e/counting_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rational-irrational-numbers/v/introduction-to-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/v/regrouping-whole-numbers-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Place value relationships example | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PvSx8oJ7PrM/default.jpg URL=http://www.youtube.com/watch?v=PvSx8oJ7PrM description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/v/rounding-whole-numbers-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/understanding-place-value-1-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding place value 1 exercise | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/jyKMEANFNi0/default.jpg URL=http://www.youtube.com/watch?v=jyKMEANFNi0 description=Here we have a few example exercises in which we are asked to compare place values and determine which are larger or smaller, and by what factor of ten. Let's do it together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/e/understanding-place-value-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/place-value-relationships-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/comparing-place-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing place values | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/dZPOCU10TqY/default.jpg URL=http://www.youtube.com/watch?v=dZPOCU10TqY description=When asked to compare the place values in a number, remember this simple fact: each step up in place value results in an increase of a factor of ten. Watch this great explanation and become a pro. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/e/understanding-place-value-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/understanding-place-value-1-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/representing-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Representing numbers | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/RXuipbyW2Wk/default.jpg URL=http://www.youtube.com/watch?v=RXuipbyW2Wk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/e/understanding-place-value-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/comparing-place-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/place-value-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Orders of magnitude exercise example 2 | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/DaoJmvqU3FI/default.jpg URL=http://www.youtube.com/watch?v=DaoJmvqU3FI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/e/orders-of-magnitude?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/multiplying-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Orders of magnitude exercise example 1 | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/cK1egPBjJXE/default.jpg URL=http://www.youtube.com/watch?v=cK1egPBjJXE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/e/orders-of-magnitude?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/patterns-in-zeros-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponents and powers of zero patterns | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/pYaIjA4CsKo/default.jpg URL=http://www.youtube.com/watch?v=pYaIjA4CsKo description=Now that we understand how to interpret an exponent and how the patterns in zeros are related to the exponent, we can solve more complicated problems! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/e/orders-of-magnitude?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing numerical expressions | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/arY-EUZDNfk/default.jpg URL=http://www.youtube.com/watch?v=arY-EUZDNfk description=This word problem can be solved by constructing a numerical expression. Can you help? We bet you can! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/constructing-numeric-expressions/e/expressions-with-parentheses?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/constructing-numeric-expressions/v/evaluating-an-expression-with-and-without-parentheses?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/interpreting-and-graphing-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number patterns: interpreting and graphing relationships | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Muba9-W2FOQ/default.jpg URL=http://www.youtube.com/watch?v=Muba9-W2FOQ description=We're building in complexity as we interpret and graph the relationships between patterns in the given ordered pairs. Don't stress. We're here to help! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/e/visualizing-and-interpreting-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/constructing-numeric-expressions/v/constructing-numerical-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/interpreting-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number patterns: interpreting relationships | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/HXg_a9oJ5nA/default.jpg URL=http://www.youtube.com/watch?v=HXg_a9oJ5nA description=Examining the points on a number line and interpreting the patterns to discover the relationships. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/e/visualizing-and-interpreting-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/interpreting-and-graphing-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number patterns: Seeing relationships | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ayRpoJgph0E/default.jpg URL=http://www.youtube.com/watch?v=ayRpoJgph0E description=Laying the foundation for algebraic thinking by learning to recognize the relationships between patterns and graphing out those relationships. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/e/visualizing-and-interpreting-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/interpreting-relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/math-patterns-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Math patterns example 2 | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/mFftY8Y_pyY/default.jpg URL=http://www.youtube.com/watch?v=mFftY8Y_pyY description=We continue to strengthen our skill in identifying patterns. This time we'll use a table to track the pattern. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/math-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/math-patterns-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Math patterns example 1 | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/KSrnZMAfwTM/default.jpg URL=http://www.youtube.com/watch?v=KSrnZMAfwTM description=Part of our exploration of math is learning to identify patterns among numbers. Can you see the pattern in this example? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/math-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/math-patterns-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/figuring-out-days-of-the-week?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inequality word problem: one variable | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/aINeMQH77jg/default.jpg URL=http://www.youtube.com/watch?v=aINeMQH77jg description=This time we're creating a variable to represent a number, and then writing an inequality. We're building on our knowledge. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/e/inequalities-in-one-variable-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/inequalities-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/writing-numerical-inequalities-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inequality word problems | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3HD-Ak_a6VE/default.jpg URL=http://www.youtube.com/watch?v=3HD-Ak_a6VE description=We're writing inequalities by using information from the word problems. Woohoo! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/e/writing-numerical-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/inequalities-in-one-variable-1-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/plotting-inequalities-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading bar charts: putting it together with central tendency | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/DGZNaKnbQo0/default.jpg URL=http://www.youtube.com/watch?v=DGZNaKnbQo0 description=Let's combine some learning! Here we looking at bar charts and using the information to determine the measures of central tendency. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/e/reading_bar_charts_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/u08-l1-t2-we2-reading-line-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-charts-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading bar charts: comparing two sets of data | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gnyHsgTFXIY/default.jpg URL=http://www.youtube.com/watch?v=gnyHsgTFXIY description=A bar chart is especially useful with comparing two sets of data. The difference in the bars give us a quick snapshot that allows us to draw some conclusions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/e/reading_bar_charts_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-charts-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/creating-bar-charts-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating a bar chart | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/woUQ9LLaees/default.jpg URL=http://www.youtube.com/watch?v=woUQ9LLaees description=We're going to create a bar chart together using using data from a survey. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/e/creating_bar_charts_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-charts-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-charts-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading bar charts: basic example | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/9YjXGLWMvCM/default.jpg URL=http://www.youtube.com/watch?v=9YjXGLWMvCM description=Let's start with this bar chart that brings back the days of Harry Potter! Putting our toes in the water on this one... Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/e/reading_bar_charts_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/creating-bar-charts-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/histograms?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second Law of Thermodynamics | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Vc8mmZTrNtI/default.jpg URL=http://www.youtube.com/watch?v=Vc8mmZTrNtI description=The Second Law of Thermodynamics: there can be no spontaneous transfer of heat from cold to hot. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/second-law-of-thermodynamics-and-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/introduction-to-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading stem and leaf plots | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PXKHyT__B2k/default.jpg URL=http://www.youtube.com/watch?v=PXKHyT__B2k description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/e/reading_stem_and_leaf_plots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-pictographs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/u08-l1-t2-we3-stem-and-leaf-plots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving ratio problems with graph | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/dmcVzFbXMCU/default.jpg URL=http://www.youtube.com/watch?v=dmcVzFbXMCU description=In this example we'll plot points on the x and y axis to reflect the given ratios. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/solving-ratio-problems-with-tables?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/usain-bolt-s-average-speed?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/solving-ratio-problems-with-tables-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving ratio problems with tables example 2 | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/kfySynqWWos/default.jpg URL=http://www.youtube.com/watch?v=kfySynqWWos description=Let's compare 2 tables of ratios and interpret them to solve the word problem. This is a fun! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/solving-ratio-problems-with-tables?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/solving-ratio-problems-with-tables-exercise-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/solving-ratio-problems-with-tables-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving ratio problems with tables example 1 | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/MaMk6-f3T9k/default.jpg URL=http://www.youtube.com/watch?v=MaMk6-f3T9k description=We're displaying ratios in a table format here, and then asking: given a ratio, solve for equivalent ratios. Here are a few examples to practice on. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/solving-ratio-problems-with-tables?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/solving-ratio-problems-with-tables-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/understanding-proportions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding division of fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/f3ySpxX9oeM/default.jpg URL=http://www.youtube.com/watch?v=f3ySpxX9oeM description=Using a number line, we'll explain the rule of "invert and multiply" when dividing two fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/e/understanding-dividing-fractions-by-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/another-dividing-fractions-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/dividing-fractions-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to entropy | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Svvr5uF_FZ8/default.jpg URL=http://www.youtube.com/watch?v=Svvr5uF_FZ8 description=Introduction to entropy, and how entropy relates to the number of possible states for a system. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/the-second-law-of-thermodynamics?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/first-law-of-thermodynamics-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=First Law of Thermodynamics introduction | Biology | Khan Academy thumb=https://i.ytimg.com/vi/vny1qUaToHw/default.jpg URL=http://www.youtube.com/watch?v=vny1qUaToHw description=The First Law of Thermodynamics: energy cannot be created or destroyed. It can only be transferred or converted from one form to another. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/the-laws-of-thermodynamics/v/introduction-to-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/energy-in-metabolism/v/introduction-to-energy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to energy | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/qzvatDIDXwo/default.jpg URL=http://www.youtube.com/watch?v=qzvatDIDXwo description=Introduction to metabolism: anabolism and catabolism Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/energy-in-metabolism/v/introduction-to-energy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/bulk-transport/v/exocytosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of subtracting fractions with unlike denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/N21Wh4Jqftc/default.jpg URL=http://www.youtube.com/watch?v=N21Wh4Jqftc description=If you conquered adding fractions with different denominators, then subtracting fractions will be a snap. Don't worry...we'll take it slow and explain every step. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/e/subtracting_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-with-different-signs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacade/description type=video name=Adding fractions with unlike denominators: units of 10 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/YZD5ifHZILE/default.jpg URL=http://www.youtube.com/watch?v=YZD5ifHZILE description=A great way to learn how to add fractions with unlike denominators is to do so with denominators in units of 10 and 100. Like this... Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/e/adding_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-and-subtracting-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/v/adding-up-to-a-fraction-drag-and-drop-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions with like numerators and denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/wbAxarp_Ug4/default.jpg URL=http://www.youtube.com/watch?v=wbAxarp_Ug4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/e/comparing_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/comparing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/comparing-fractions-with-greater-than-and-less-than-symbols?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rewriting fraction as a decimal to the hundredths place | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/E3OfSGjpDoI/default.jpg URL=http://www.youtube.com/watch?v=E3OfSGjpDoI description=Learn how to rewrite a fraction as a decimal. The example in this video: 21/60 -- 0.35 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/growing-by-a-percentage?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/rewriting-a-fraction-as-a-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic example of rewriting a fraction as a decimal | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XHLgY7Z3cb8/default.jpg URL=http://www.youtube.com/watch?v=XHLgY7Z3cb8 description=Learn how to rewrite a fraction as a decimal. The example in this video: 3/5 - 0.6 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/rewriting-fraction-as-a-decimal-to-the-hundredths-place?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/taking-a-percentage-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding a percentage | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/FaDtge_vkbg/default.jpg URL=http://www.youtube.com/watch?v=FaDtge_vkbg description=Once again, fractions are our friends as we use them to find a percentage. You'll also see a couple of different ways to arrive at the answer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/finding_percents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/percent-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-percents-to-decimals-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing a whole number by a decimal | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/cfr-yZxTH8Y/default.jpg URL=http://www.youtube.com/watch?v=cfr-yZxTH8Y description=When dividing a whole number by a decimal, you're going to need to change that decimal into a whole number. How? We'll show you. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-a-decimal-by-a-whole-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting decimals: example 1 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/o31cLUkS23E/default.jpg URL=http://www.youtube.com/watch?v=o31cLUkS23E description=Subtracting decimals...up to the hundredths placement. Line up those decimals before you start. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/subtracting_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals: ordering from smallest to biggest | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/BINElq3DFkg/default.jpg URL=http://www.youtube.com/watch?v=BINElq3DFkg description=Let's move the decimals around and reorder them from least to greatest. Hint: look at one place value and then compare it to the decimals before moving on to the next place value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/e/ordering_decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/ordering-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals: ordering from least to greatest | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JJawhaMqaXg/default.jpg URL=http://www.youtube.com/watch?v=JJawhaMqaXg description=This is a fun example where we reorder decimals from smallest to largest. You're looking for the place value that is the most significant, and then working backwards. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/e/ordering_decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/another-ordering-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals-4?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals: writing it out as a number | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5DlzmolR8Cg/default.jpg URL=http://www.youtube.com/watch?v=5DlzmolR8Cg description=Take your time and remember your order of operations as you translate this into a decimal number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/e/writing-and-interpreting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/comparing-place-values-in-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/expanding-out-a-decimal-by-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding factors and multiples | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5xe-6GPR_qQ/default.jpg URL=http://www.youtube.com/watch?v=5xe-6GPR_qQ description=To find the factors of a number means to find all the whole numbers that the number in question is divisible by. Can you help us find the factors in this example? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/e/divisibility_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/divisibility-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/finding-factors-of-a-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value word problems | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Ig7RSc-93Bs/default.jpg URL=http://www.youtube.com/watch?v=Ig7RSc-93Bs description=Here are a few word problems that ask us to apply our new absolute value knowledge. As with all word problems, read them a couple of times before jumping to an answer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/e/comparing_absolute_values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-as-distance-between-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/comparing-absolute-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and subtracting negative numbers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NQSN00zL5gg/default.jpg URL=http://www.youtube.com/watch?v=NQSN00zL5gg description=Learn how to add and subtract negative numbers. The problems solved in this video are 2 - 3 = -1 and -2 - 3 = -5 and -2 + 3 = 1 and 2 - (-3) = 5 and -2 - (-3). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/e/adding_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/v/ordering-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to metabolism: anabolism and catabolism | Khan Academy thumb=https://i.ytimg.com/vi/KwNe9x0eChs/default.jpg URL=http://www.youtube.com/watch?v=KwNe9x0eChs description=Introduction to metabolism: anabolism and catabolism Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/energy-in-metabolism/v/introduction-to-energy?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/bulk-transport/v/exocytosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to interpret an expression with function notation | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/94Gnto5G1PU/default.jpg URL=http://www.youtube.com/watch?v=94Gnto5G1PU description=Sal interprets the expression P(5) minor P(9) where P models the number of people at the beach over time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/e/function-notation-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/introduction-to-interval-notation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/v/interpreting-function-notation-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shifting and scaling parabolas | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/99v51U3HSCU/default.jpg URL=http://www.youtube.com/watch?v=99v51U3HSCU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/parabola_intuition_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/parabola-intuition-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphing-a-parabola-using-roots-and-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing a parabola with a table of values | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/nh3_IGxHA5A/default.jpg URL=http://www.youtube.com/watch?v=nh3_IGxHA5A description=Graphing a parabola with a table of values Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/graphing_parabolas_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/quadratic-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/v/modeling-mosquitos-with-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining mistakes in steps example | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/jtPvDycHVQw/default.jpg URL=http://www.youtube.com/watch?v=jtPvDycHVQw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/e/understanding-the-equation-solving-process?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/factoring-quadratics/v/factoring-quadratic-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/v/order-of-steps-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order of steps exercise example | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/naVFTNWVlQU/default.jpg URL=http://www.youtube.com/watch?v=naVFTNWVlQU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/e/understanding-the-equation-solving-process?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/v/determining-mistakes-in-steps-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/v/simple-quadratic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Practice computing and comparing rates | Ratios, rates, and percentages | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/jOZ98FDyl2E/default.jpg URL=http://www.youtube.com/watch?v=jOZ98FDyl2E description=Learn how to solve practice problems where you compute and compare rates. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates/e/comparing-rates?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percentages/v/describing-the-meaning-of-percent?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates/v/finding-unit-prices?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to rates | Ratios, rates, and percentages | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/qGTYSAeLTOE/default.jpg URL=http://www.youtube.com/watch?v=qGTYSAeLTOE description=Learn how rates and how they're related to ratios. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates/e/rate_problems_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-rates/v/finding-unit-rates?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratio-word-problems/v/ratio-word-problem-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 5: Adding polynomials with two variables | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/jroamh6SIo0/default.jpg URL=http://www.youtube.com/watch?v=jroamh6SIo0 description=Simplify (4x^2y - 3x^2 - 2y) + (8xy - 3x^2 + 2x^2y + 4) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/e/adding-and-subtracting-polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/subtracting-polynomials-with-multiple-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/adding-and-subtracting-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to determine the domain of a modeling function (example with a function) | Khan Academy thumb=https://i.ytimg.com/vi/2DnQEaNTd08/default.jpg URL=http://www.youtube.com/watch?v=2DnQEaNTd08 description=Sal determines the domain of a function that models the height of a plant over time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/e/interpreting-domain?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-modeling-function-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-algebraic-function-examples?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to interpret an expression with function notation | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/HERb3x0aw6c/default.jpg URL=http://www.youtube.com/watch?v=HERb3x0aw6c description=Sal interprets the expression M(30)-M(0)=100 where M models an account balance over time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/e/function-notation-in-context?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/v/interpreting-function-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/functions-and-equations/v/create-function-from-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to create a function from an equation (example) | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/OOim0QPsJ9o/default.jpg URL=http://www.youtube.com/watch?v=OOim0QPsJ9o description=Sal find the formula of a function that, given an input value "b," outputs a value "a" that satisfies the equation 4a+7b=-52. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/functions-and-equations/e/functions-from-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/v/interpreting-function-notation-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/functions-and-equations/v/difference-between-equations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to match function input to output given the formula (example) | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tJBQZ3PUkPo/default.jpg URL=http://www.youtube.com/watch?v=tJBQZ3PUkPo description=Sal finds the input value for which f(t)=13, given that f(t)=-2t+5. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/e/functions_matching_inputs_outputs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/functions-and-equations/v/difference-between-equations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/v/different-inputs-giving-same-value-for-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find two function inputs with the same output given graph (example) | Khan Academy thumb=https://i.ytimg.com/vi/qSktOkaW6EA/default.jpg URL=http://www.youtube.com/watch?v=qSktOkaW6EA description=Sal finds the input value other than -5 for which f(x)=f(-5), given the graph of f. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/e/functions_matching_inputs_outputs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/v/finding-input-given-function-output-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/v/matching-function-input-to-output-with-graph?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear models example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Rq56-OJR964/default.jpg URL=http://www.youtube.com/watch?v=Rq56-OJR964 description=Marbles and water in tank Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-and-interpreting-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/evaluating-functions/v/what-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/linear-models-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear models example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/W3flX500w5g/default.jpg URL=http://www.youtube.com/watch?v=W3flX500w5g description=Linear model for book reading Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-and-interpreting-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/linear-models-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/constructing-linear-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing linear functions example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/5c9N_1PEfHw/default.jpg URL=http://www.youtube.com/watch?v=5c9N_1PEfHw description=Linear model for painting Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-linear-functions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/linear-models-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/constructing-linear-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing linear functions example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/W7H-VcaSSu8/default.jpg URL=http://www.youtube.com/watch?v=W7H-VcaSSu8 description=Linear model for ice sheet thickness Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/constructing-linear-functions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/constructing-linear-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/graphing-linear-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing linear functions example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/zSVrr8K_CiI/default.jpg URL=http://www.youtube.com/watch?v=zSVrr8K_CiI description=Graphing equation for filling pool Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/graphing-linear-functions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/constructing-linear-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/graphing-linear-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing linear functions example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AAmVITyDXbc/default.jpg URL=http://www.youtube.com/watch?v=AAmVITyDXbc description=Learn how graph a linear function. This video gives an example of graphing fuel consumption as a function of distance. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/e/graphing-linear-functions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/graphing-linear-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-6?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting linear formulas example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AY8ldIEi3fU/default.jpg URL=http://www.youtube.com/watch?v=AY8ldIEi3fU description=Linear equation for file transfer Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-features-of-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-linear-formulas-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting linear formulas example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/deKCm28TkRo/default.jpg URL=http://www.youtube.com/watch?v=deKCm28TkRo description=Interpreting a linear formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-features-of-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-linear-formulas-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-features-of-linear-functions-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting from slope-intercept to standard form | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XOIhNVeLfWs/default.jpg URL=http://www.youtube.com/watch?v=XOIhNVeLfWs description=Converting from slope-intercept to standard form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/e/converting_between_slope_intercept_and_standard_form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/v/point-slope-and-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/v/standard-form-to-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuitive understanding of slope example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/6_9xNMtwnfs/default.jpg URL=http://www.youtube.com/watch?v=6_9xNMtwnfs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/e/line_graph_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Positive and negative slope | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/EQoNfxToez0/default.jpg URL=http://www.youtube.com/watch?v=EQoNfxToez0 description=Positive and negative slope Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/introduction-to-slope?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing solutions to two-variable linear equations example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/EHR-YDwrrhM/default.jpg URL=http://www.youtube.com/watch?v=EHR-YDwrrhM description=Graphing solutions to 2 variable linear equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/e/graphing-solutions-to-two-variable-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/introduction-to-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/plotting-x-y-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Checking ordered pair solutions to equations example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/d3VMo1VWFvc/default.jpg URL=http://www.youtube.com/watch?v=d3VMo1VWFvc description=Second example of ordered pair solutions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/e/plugging_in_values?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/plotting-x-y-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/checking-ordered-pair-solutions-to-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Checking ordered pair solutions to equations example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/qk69pR91R00/default.jpg URL=http://www.youtube.com/watch?v=qk69pR91R00 description=Checking ordered pair solutions to equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/e/plugging_in_values?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/checking-ordered-pair-solutions-to-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/2-variable-linear-equations-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Two-variable linear equations and their graphs | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AOxMJRtoR2A/default.jpg URL=http://www.youtube.com/watch?v=AOxMJRtoR2A description=Introduction to 2-variable linear equations and their graphs Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/checking-ordered-pair-solutions-to-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/using-expressions-to-understand-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mistakes in solving equations | expressions, equations, and inequalities | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/6q8mk7z72AU/default.jpg URL=http://www.youtube.com/watch?v=6q8mk7z72AU description=When doing algebra, we sometimes make mistakes! It's important to be able to check our own work (and other people's work) for correctness. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-8th-two-step-equations-dec-frac/e/find-the-mistake-two-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-linear-eq-word-probs/v/basic-linear-equation-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-8th-two-step-equations-dec-frac/v/two-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Manipulating formula example | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/oa1SEjP9KAQ/default.jpg URL=http://www.youtube.com/watch?v=oa1SEjP9KAQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/e/manipulating-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/v/coverting-repeating-decimals-to-fractions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/example-of-solving-for-a-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number of solutions to linear equations ex 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/uQs100shv-A/default.jpg URL=http://www.youtube.com/watch?v=uQs100shv-A description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/e/solutions-to-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/rearrange-formulas-to-isolate-specific-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/number-of-solutions-to-linear-equations-ex-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number of solutions to linear equations ex 3 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Dq0xFgQB9qo/default.jpg URL=http://www.youtube.com/watch?v=Dq0xFgQB9qo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/e/solutions-to-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/number-of-solutions-to-linear-equations-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/number-of-solutions-to-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number of solutions to linear equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/qsL_5Y8uWPU/default.jpg URL=http://www.youtube.com/watch?v=qsL_5Y8uWPU description=Equation Special Cases Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/e/solutions-to-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/number-of-solutions-to-linear-equations-ex-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/equation-special-cases?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out missing algebraic step | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/RXgj09NXNWo/default.jpg URL=http://www.youtube.com/watch?v=RXgj09NXNWo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/understanding-the-process-for-solving-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/equation-special-cases?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/steps-when-solving-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding steps when solving equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/LzYJVsvqS50/default.jpg URL=http://www.youtube.com/watch?v=LzYJVsvqS50 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/understanding-the-process-for-solving-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/missing-steps?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to solve two-step equations with decimals and fractions | 7th grade | Khan academy thumb=https://i.ytimg.com/vi/BOIA9wsM4ok/default.jpg URL=http://www.youtube.com/watch?v=BOIA9wsM4ok description=Learn how to solve equations that involve decimals and fractions. The equations shown in this video are called "two-step" equations because they each take two steps to solve. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-8th-two-step-equations-dec-frac/e/two-step-equations-with-decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-8th-two-step-equations-dec-frac/v/two-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-2-step-equations-intro/v/solving-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples of simplifying expressions involving rational numbers |7th grade | Khan Academy thumb=https://i.ytimg.com/vi/rtNuo7R3scY/default.jpg URL=http://www.youtube.com/watch?v=rtNuo7R3scY description=Learn how to simplify algebraic expressions by combining like terms. The expressions in this video have decimal and fraction coefficients. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-manipulating-expressions/e/manipulating-linear-expressions-with-rational-coefficients?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-factoring/v/factoring-algebraic-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-manipulating-expressions/v/combining-like-terms-3?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent expressions with distribution and negative numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/Xtcylk5r0g8/default.jpg URL=http://www.youtube.com/watch?v=Xtcylk5r0g8 description=Learn how to identify equivalent expressions using your knowledge of the distributive property and negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-factoring/e/equiv-expressions-w-neg-and-dist?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-interpreting-lin-exp/v/interpreting-linear-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-factoring/v/factoring-linear-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mileage assumption example | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/LyIZEnGYCI8/default.jpg URL=http://www.youtube.com/watch?v=LyIZEnGYCI8 description=Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the best deal on pesticides | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/HEiO1n_zMLk/default.jpg URL=http://www.youtube.com/watch?v=HEiO1n_zMLk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/defining-appropriate-units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/mileage-assumption-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/thinking-about-reasonable-units-to-describe-a-rate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thinking about reasonable units to describe a rate | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/d5lcGCbV5cM/default.jpg URL=http://www.youtube.com/watch?v=d5lcGCbV5cM description=Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/finding-the-best-deal-on-pesticides?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/figuring-out-units-from-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out units from formula | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ALaBkdJYXqs/default.jpg URL=http://www.youtube.com/watch?v=ALaBkdJYXqs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/working-with-units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/thinking-about-reasonable-units-to-describe-a-rate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/dimensional-analysis-units-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion word problem: roadtrip | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xpzt0wqMT6Y/default.jpg URL=http://www.youtube.com/watch?v=xpzt0wqMT6Y description=The challenge in a word problem sometimes is knowing which numbers to choose when creating a simple equation. In this unit conversion word problem we'll answer the common question: "How much will a road trip cost me in gas?" Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/unit-conversion-example-drug-dosage?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/converting-units-of-length?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-step unit conversion word problem | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/F0LLR7bs7Qo/default.jpg URL=http://www.youtube.com/watch?v=F0LLR7bs7Qo description=The fate of a squirrel is in your hands as it tries to run across the road before a car reaches it. Use what you know about unit conversion to help solve this word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/converting-units-of-length?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/dependent-and-independent-variables-exercise-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dependent and independent variables exercise: express the graph as an equation | Khan Academy thumb=https://i.ytimg.com/vi/3ACF7L-7Vsg/default.jpg URL=http://www.youtube.com/watch?v=3ACF7L-7Vsg description=We're flipping the last video on its head and doing the opposite. This time we give you the graph and ask you to express it as an equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/e/dependent-and-independent-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/can-a-squirrel-avoid-getting-run-over?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/dependent-and-independent-variables-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dependent and independent variables exercise: the basics | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/i9j_VUMq5yg/default.jpg URL=http://www.youtube.com/watch?v=i9j_VUMq5yg description=Here we have a problem that asks us to identify which variables are dependent and independent. Hint: independent variables are not influenced and remain unchanged by the other variable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/e/dependent-and-independent-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/dependent-and-independent-variables-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/variables-expressions-and-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing algebraic expressions example 3 | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/zaGUlwslGGg/default.jpg URL=http://www.youtube.com/watch?v=zaGUlwslGGg description=The more you practice, the better you get at writing algebraic expressions. So don't hesitate. Let's go! Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/v/algebraic-expression-adding-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-3-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing algebraic expressions word problem example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/o_Vt7J08PE4/default.jpg URL=http://www.youtube.com/watch?v=o_Vt7J08PE4 description=We're writing an expression to answer a word problem about butter. Could there be a better reason to do this? Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-3-exercise-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-3-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing algebraic expressions word problem | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/IEKU6tubTEw/default.jpg URL=http://www.youtube.com/watch?v=IEKU6tubTEw description=Here we interpret data in a table and solve a word problem by writing an algebraic expression. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-3-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/interpreting-linear-expressions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent forms of expressions | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/S9pTSmXmXH8/default.jpg URL=http://www.youtube.com/watch?v=S9pTSmXmXH8 description=We're looking to find the expressions that are equivalent to a given expression that can be simplified. Give it a try with us. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/e/equivalent-forms-of-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/factoring-algebraic-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating an algebraic expression in a word problem | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/I9eLKDbc8og/default.jpg URL=http://www.youtube.com/watch?v=I9eLKDbc8og description=In this example of evaluating expressions, we're dusting off some geometry. On top of that, it's a word problem. We're seeing how different concepts in math are layered on top of each to create more interesting and complex problems to solve. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/e/evaluating-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/variable-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Talent Search 2015 Winners thumb=https://i.ytimg.com/vi/pJ3Z04Vwf2Y/default.jpg URL=http://www.youtube.com/watch?v=pJ3Z04Vwf2Y description=Check out the 2016 talent search announcement video here: https://youtu.be/0qjbgGQy8uM Meet the winners of the first-ever Khan Academy Talent Search! Read about their experience at Khan Academy on our blog: khanacademy.org/r/talent About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing dot plots, histograms, and box plots | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/s_w3EJ2Jzw0/default.jpg URL=http://www.youtube.com/watch?v=s_w3EJ2Jzw0 description=Sal solves practice problems where he thinks about which data displays would be helpful in which situations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-7th-compare-data-displays/e/comparing-data-displays?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-shape-of-data/v/shapes-of-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples analyzing clusters, gaps, peaks and outliers for distributions | 6h grade | Khan Academy thumb=https://i.ytimg.com/vi/4PXkzcK-b4Y/default.jpg URL=http://www.youtube.com/watch?v=4PXkzcK-b4Y description=Examples looking at different features of distributions, such as clusters, gaps, peaks, and outliers for distributions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-shape-of-data/e/clusters--gaps--peaks--and-outliers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade This is the last video in our 6th grade subject! Now move on to our first video in 7th grade: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-negatives/v/adding-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-shape-of-data/v/shapes-of-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Impact on median and mean when removing lowest value example | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/-2OOBEBq9-4/default.jpg URL=http://www.youtube.com/watch?v=-2OOBEBq9-4 description=Sal thinks through the effects of removing a low outlier from a data set. What will happen to the mean and median? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/e/effects-of-shifting-adding-removing-data-point?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/v/impact-on-median-and-mean-when-increasing-highest-value?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/v/median-and-range-puzzle?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Impact on median and mean when increasing highest value | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/K1y6Tz_E7oA/default.jpg URL=http://www.youtube.com/watch?v=K1y6Tz_E7oA description=Sal thinks through the effects of modifying a value in a data set. What will happen to the mean and median? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/e/effects-of-shifting-adding-removing-data-point?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/reading-box-and-whisker-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/v/impact-on-median-and-mean-when-removing-lowest-value-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exocytosis | Membranes and transport | Biology | Khan Academy thumb=https://i.ytimg.com/vi/VOzV4d0HKis/default.jpg URL=http://www.youtube.com/watch?v=VOzV4d0HKis description=Introduction to exocytosis! Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/energy-in-metabolism/v/introduction-to-metabolism-anabolism-and-catabolism?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/bulk-transport/v/endocytosis-phagocytosis-and-pinocytosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Uniporters, symporters and antiporters | Biology | Khan Academy thumb=https://i.ytimg.com/vi/-aGYytZ7K7M/default.jpg URL=http://www.youtube.com/watch?v=-aGYytZ7K7M description=A review of various forms of passive and active transport including facilitated diffusion (uniporters), symporters, and exchangers; a discussion of primary and secondary active transport. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/bulk-transport/v/endocytosis-phagocytosis-and-pinocytosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/active-transport/v/electrochemical-gradient-and-secondary-active-transport?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electrochemical gradients and secondary active transport | Khan Academy thumb=https://i.ytimg.com/vi/wbWL2wfvsM8/default.jpg URL=http://www.youtube.com/watch?v=wbWL2wfvsM8 description=Electrochemical gradient as a combination of chemical gradient (concentration gradient) and electrostatic potential; how a cell can use a molecule's electrochemical gradient to power secondary active transport in a symporter. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/active-transport/v/uniporters-symporters-and-antiporters?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/active-transport/v/sodium-potassium-pump-video?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sodium potassium pump | Membranes and transport | Biology | Khan Academy thumb=https://i.ytimg.com/vi/vh166DKxYiM/default.jpg URL=http://www.youtube.com/watch?v=vh166DKxYiM description=How the sodium potassium pump pumps sodium ions out while pumping potassium ions in (and the role this plays in establishing resting membrane potentials based on an electrochemical gradient) Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/active-transport/v/electrochemical-gradient-and-secondary-active-transport?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/passive-transport/v/facilitated-diffusion?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Endocytosis, phagocytosis, and pinocytosis | Biology | Khan Academy thumb=https://i.ytimg.com/vi/QspmZf_yWyU/default.jpg URL=http://www.youtube.com/watch?v=QspmZf_yWyU description=Bulk transport: endocytosis, phagocytosis, and pinocytosis. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/bulk-transport/v/exocytosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/active-transport/v/uniporters-symporters-and-antiporters?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Facilitated diffusion | Membranes and transport | Biology | Khan Academy thumb=https://i.ytimg.com/vi/8HlVy__J8XA/default.jpg URL=http://www.youtube.com/watch?v=8HlVy__J8XA description=Understanding how channel proteins and carrier proteins can facilitate diffusion across a cell membrane (passive transport). Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/active-transport/v/sodium-potassium-pump-video?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/passive-transport/v/passive-transport-and-selective-permeability?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Passive transport and selective permeability | Biology | Khan Academy thumb=https://i.ytimg.com/vi/jQN07Hvq6WI/default.jpg URL=http://www.youtube.com/watch?v=jQN07Hvq6WI description=Passive transport and selective permeability. Passive transport through diffusion. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/passive-transport/v/facilitated-diffusion?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/diffusion-and-osmosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hypotonic, isotonic, and hypertonic solutions (tonicity) | Khan Academy thumb=https://i.ytimg.com/vi/afWnU10ZNfg/default.jpg URL=http://www.youtube.com/watch?v=afWnU10ZNfg description=Hypotonic, isotonic and hypertonic solutions (tonicity). Seeing the effect of various types of solution on the direction of osmosis. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/diffusion-and-osmosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/osmosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Osmosis | Membranes and transport | Biology | Khan Academy thumb=https://i.ytimg.com/vi/rCNlG_j_gSM/default.jpg URL=http://www.youtube.com/watch?v=rCNlG_j_gSM description=Osmosis of water (or any solvent) from area of lower solute concentration to areas of higher solute concentration through a semipermeable membrane. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/hypotonic-isotonic-and-hypertonic-solutions-tonicity?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/concentration-gradients?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Concentration gradients | Membranes and transport | Biology | Khan Academy thumb=https://i.ytimg.com/vi/CNP-dCQ-Cmg/default.jpg URL=http://www.youtube.com/watch?v=CNP-dCQ-Cmg description=Example showing how two different types of particles can move down their concentration gradients in opposite directions. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/osmosis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/diffusion-video?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Diffusion | Membranes and transport | Biology | Khan Academy thumb=https://i.ytimg.com/vi/a_Y9wBQ610o/default.jpg URL=http://www.youtube.com/watch?v=a_Y9wBQ610o description=Understanding how particles passively diffuse down their concentration gradient. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/concentration-gradients?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/the-plasma-membrane/v/fluid-mosaic-model-of-cell-membranes?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fluid mosaic model of cell membranes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/cP8iQu57dQo/default.jpg URL=http://www.youtube.com/watch?v=cP8iQu57dQo description=Fluid mosaic model of cell membranes; the role of phospholipids, proteins, glycoproteins, cholesterol, and glycolipids in cell membranes. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/diffusion-video?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/cytoskeleton-junctions-and-extracellular-structures/v/plant-cell-walls?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of animal and plant cells | Biology | Khan Academy thumb=https://i.ytimg.com/vi/24YMQ9GvLss/default.jpg URL=http://www.youtube.com/watch?v=24YMQ9GvLss description=Overview of animal and plant cells. Topics include cell walls, vacuoles, chloroplasts, peroxisomes, lysosomes, mitochondria, etc. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/the-plasma-membrane/v/fluid-mosaic-model-of-cell-membranes?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/cytoskeleton-junctions-and-extracellular-structures/v/plant-cell-walls?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plant cell walls | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/zdvKhaQxvag/default.jpg URL=http://www.youtube.com/watch?v=zdvKhaQxvag description=Understanding the structure of plant cell walls. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/cytoskeleton-junctions-and-extracellular-structures/v/overview-of-animal-and-plant-cells?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/cytoskeleton-junctions-and-extracellular-structures/v/extracellular-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Extracellular matrix | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/cMNx17H3dRU/default.jpg URL=http://www.youtube.com/watch?v=cMNx17H3dRU description=Overview of how cells interact with the extracellular matrix. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/cytoskeleton-junctions-and-extracellular-structures/v/plant-cell-walls?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/cytoskeletons?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to physics | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/uIojjqSm0m4/default.jpg URL=http://www.youtube.com/watch?v=uIojjqSm0m4 description=An overview video of what physics is about as we delve deeper in future videos! Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/introduction-to-vectors-and-scalars?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The cytoskeleton | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/4BAGI6LbHeo/default.jpg URL=http://www.youtube.com/watch?v=4BAGI6LbHeo description=Exploring the cell cytoskeleton, including microfilaments and microtubules (with a brief mention of intermediate filaments). Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/cytoskeleton-junctions-and-extracellular-structures/v/extracellular-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/mitochondria-video?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mitochondria | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/i1dAnpSFbyI/default.jpg URL=http://www.youtube.com/watch?v=i1dAnpSFbyI description=The structure and role of mitochondria (plural for mitochondrion). Discusses the outer membrane, inner membrane, cristae, porins, etc. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/cytoskeletons?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/endomembrane-system?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Endomembrane system | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/vC-cEWJxDRY/default.jpg URL=http://www.youtube.com/watch?v=vC-cEWJxDRY description=An overview of how the cellular membrane, nuclear membranes, endoplasmic reticulum, Golgi apparatus and other membrane-bound structures collectively form the endomembrane system in eukaryotic cells. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/mitochondria-video?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/endoplasmic-reticulum-and-golgi-bodies?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuition behind formula for thermal conductivity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/hDP6egLrsdM/default.jpg URL=http://www.youtube.com/watch?v=hDP6egLrsdM description=Intuition behind formula for thermal conductivity. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/macrostates-and-microstates?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/thermal-conductivity-of-metal-and-wood?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermal conductivity of metal and wood | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/6f553BGaufI/default.jpg URL=http://www.youtube.com/watch?v=6f553BGaufI description=Why metal at room temperature feels cooler than wood at room temperature. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/intuition-behind-formula-for-thermal-conductivity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/thermal-conduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermal conduction | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/PA-T6lMxCBI/default.jpg URL=http://www.youtube.com/watch?v=PA-T6lMxCBI description=Intuition behind how heat gets transferred through thermal conduction. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/thermal-conductivity-of-metal-and-wood?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/thermal-conduction-convection-and-radiation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermal conduction, convection, and radiation | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/8GQvMt-ow4w/default.jpg URL=http://www.youtube.com/watch?v=8GQvMt-ow4w description=Fire as thermal conduction, convection, and radiation. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/thermal-conduction?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/specific-heat-and-latent-leat-of-fusion-and-vaporization-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Maxwell-Boltzmann distribution | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/xQ9D4Jz95-A/default.jpg URL=http://www.youtube.com/watch?v=xQ9D4Jz95-A description=The Maxwell-Boltzmann distribution describes the distribution of speeds among the particles in a sample of gas at a given temperature. The distribution is often represented graphically, with particle speed on the x-axis and relative number of particles on the y-axis. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:intermolecular-forces-and-properties/x2eef969c74e0d802:kinetic-molecular-theory/v/maxwell-boltzmann-distribution Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Prokaryotic and eukaryotic cells | Biology | Khan Academy thumb=https://i.ytimg.com/vi/xTnNv7YplSo/default.jpg URL=http://www.youtube.com/watch?v=xTnNv7YplSo description=Prokaryotic and eukaryotic cells. Bacteria and archaea. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/endoplasmic-reticulum-and-golgi-bodies?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/prokaryotic-and-eukaryotic-cells/v/cell-size?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cell size | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/6xx5v3PKZZM/default.jpg URL=http://www.youtube.com/watch?v=6xx5v3PKZZM description=Thinking about the limiting factors of cell size. Focus on volume to surface area ratio. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/prokaryotic-and-eukaryotic-cells/v/prokaryotic-and-eukaryotic-cells?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/introduction-to-cells/v/cell-theory?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cell theory | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/zk3vlhz1b6k/default.jpg URL=http://www.youtube.com/watch?v=zk3vlhz1b6k description=Introduction to cell theory--the idea that 1) all living things are made of one or more cells, 2) cells are the basic unit of life and 3) all cells come from other cells. Explore the roles that Hooke, Leeuwenhoek and others played in developing cell theory. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/prokaryotic-and-eukaryotic-cells/v/cell-size?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/introduction-to-cells/v/scale-of-cells?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scale of cells | Structure of a cell | Biology | Khan Academy thumb=https://i.ytimg.com/vi/xKJ3txXIuQk/default.jpg URL=http://www.youtube.com/watch?v=xKJ3txXIuQk description=How side chain interactions can impact the tertiary structure of proteins. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/introduction-to-cells/v/cell-theory?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/tertiary-structure-of-proteins?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tertiary structure of proteins | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/7udSVZ7bDb8/default.jpg URL=http://www.youtube.com/watch?v=7udSVZ7bDb8 description=How side chain interactions can impact the tertiary structure of proteins. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/introduction-to-cells/v/scale-of-cells?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/overview-of-protein-structure?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of protein structure | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/MODnIkQvyz0/default.jpg URL=http://www.youtube.com/watch?v=MODnIkQvyz0 description=Primary, secondary, tertiary and quaternary protein structure. Thinking about how the different factors impacting a protein's structure. Beta pleated sheets. Alpha helices. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/tertiary-structure-of-proteins?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/peptide-bond-formation?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to amino acids | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Pk4d9lY48GI/default.jpg URL=http://www.youtube.com/watch?v=Pk4d9lY48GI description=Understanding amino acids and their role in the Central Dogma of Molecular Biology (how the information in DNA eventually gets expressed as chains of amino acids). Thinking about the amino and carboxyl groups and how amino acids are typically found as zwitterions at physiological pH. How amino acid side chains can impact protein structure. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/peptide-bond-formation?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/molecular-structure-of-rna?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Peptide bond formation | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/nv2kfBFkv4s/default.jpg URL=http://www.youtube.com/watch?v=nv2kfBFkv4s description=How amino acids (including ones in zwitterion form) form peptide bonds (peptide linkages) through a condensation reaction (dehydration synthesis). Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/overview-of-protein-structure?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/introduction-to-amino-acids?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle measurement and circle arcs | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/D-EIh7NJvtQ/default.jpg URL=http://www.youtube.com/watch?v=D-EIh7NJvtQ description=Did you know that the measurement of an angle is related to the arc of a circle? Yes, indeed! Watch. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/vertical-adjacent-and-linearly-paired-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing circumscribing circle | Geometric constructions | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/eSjbEWb4Qp4/default.jpg URL=http://www.youtube.com/watch?v=eSjbEWb4Qp4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/circum-in-circles/e/inscribing_and_circumscribing_circles_on_a_triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/constructing-tangents/v/constructing-a-tangent-line-using-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/circum-in-circles/v/constructing-circle-inscribing-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing circle inscribing triangle | Geometric constructions | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/lmm767eIsGU/default.jpg URL=http://www.youtube.com/watch?v=lmm767eIsGU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/circum-in-circles/e/inscribing_and_circumscribing_circles_on_a_triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/circum-in-circles/v/constructing-circumscribing-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/v/constructing-regular-hexagon-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing regular hexagon inscribed in circle | Geometric constructions | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Yu4eqwGFJK8/default.jpg URL=http://www.youtube.com/watch?v=Yu4eqwGFJK8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/e/constructions_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/circum-in-circles/v/constructing-circle-inscribing-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/v/constructing-equilateral-triangle-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing equilateral triangle inscribed in circle | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/gWMTTP58_J0/default.jpg URL=http://www.youtube.com/watch?v=gWMTTP58_J0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/e/constructions_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/v/constructing-regular-hexagon-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/v/constructing-square-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel and perpendicular lines intro | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/V0xounKGEXs/default.jpg URL=http://www.youtube.com/watch?v=V0xounKGEXs description=Do the two lines intersect or stay apart? If they intersect, do they do so thereby creating a 90 degree angle? These are the kinds of questions we ask ourselves when we learn about parallel and perpendicular lines. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/e/line_relationships?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/v/equations-of-parallel-and-perpendicular-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/finding-a-point-part-way-between-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Which minions can the wizard reach | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/gS6s3MGZlRc/default.jpg URL=http://www.youtube.com/watch?v=gS6s3MGZlRc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/e/coordinate-plane-word-problems-with-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/distance-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/identifying-similar-triangles-in-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slice a rectangular pyramid | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/hoa1RBk4dTo/default.jpg URL=http://www.youtube.com/watch?v=hoa1RBk4dTo description=What happens when you slice vertically into a rectangular pyramid? What kind of geometric shape results? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/e/slicing-3d-figures?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/v/ways-to-cut-a-cube?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/volume-of-a-sphere?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume of a cone | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/hC6zx9WAiC4/default.jpg URL=http://www.youtube.com/watch?v=hC6zx9WAiC4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/volume-word-problems-with-cones--cylinders--and-spheres?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/volume-of-a-sphere?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/density-example-blimp?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How many people can a blimp carry | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/YbNVUhW-HJM/default.jpg URL=http://www.youtube.com/watch?v=YbNVUhW-HJM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/surface-and-volume-density-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/volume-cone-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/cylinder-volume-and-surface-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding surface area: nets of polyhedra | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/m1ZTnl4CNQg/default.jpg URL=http://www.youtube.com/watch?v=m1ZTnl4CNQg description=Now we shift our focus towards surface area (which is the sum of all the areas of all the shapes that cover the surface of the object). Let's apply it to the polyhedra net we learned about in the previous video. We'll walk you through it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/surface-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/solid-geometry-volume?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/nets-of-polyhedra?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Nets of polyhedra | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ZACf9EecFrY/default.jpg URL=http://www.youtube.com/watch?v=ZACf9EecFrY description=We know...."nets of polyhedra" sounds like the title of a bad sci-fi movie about man-eating, muti-headed fish. A polyhedron ("polyhedra" is plural) is nothing more than a 3 dimensional shape with flat surfaces and straight edges (think: cube) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/nets-of-3d-figures?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/surface-area-from-net?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/perimeter-and-area-of-a-non-standard-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadrilateral similarity by showing congruent angles | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/W-itq-SYw0I/default.jpg URL=http://www.youtube.com/watch?v=W-itq-SYw0I description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/similarity-and-transformations/e/defining-similarity-through-angle-preserving-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similar-triangle-basics?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/similarity-and-transformations/v/testing-similarity-through-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Testing similarity through transformations | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/6p1lweGactg/default.jpg URL=http://www.youtube.com/watch?v=6p1lweGactg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/similarity-and-transformations/e/exploring-angle-preserving-transformations-and-similarity?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/similarity-and-transformations/v/quadrilateral-similarity-by-showing-congruent-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/example-involving-an-isosceles-triangle-and-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another example of rigid transformations for congruence | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/vO1Ur38PGCY/default.jpg URL=http://www.youtube.com/watch?v=vO1Ur38PGCY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/e/defining-congruence-through-rigid-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/congruent-triangles-and-sss?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/example-of-rigid-transformation-and-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of rigid transformation and congruence | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/3aDV3L8aZtY/default.jpg URL=http://www.youtube.com/watch?v=3aDV3L8aZtY description=Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/another-example-of-rigid-transformations-for-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/another-congruence-by-transformation-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another congruence by transformation example | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/EDlZAyhWxhk/default.jpg URL=http://www.youtube.com/watch?v=EDlZAyhWxhk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/e/exploring-rigid-transformations-and-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/example-of-rigid-transformation-and-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/testing-congruence-by-transformations-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Testing congruence by transformations example | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Tn9U8hLu9aI/default.jpg URL=http://www.youtube.com/watch?v=Tn9U8hLu9aI description=Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/another-congruence-by-transformation-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/dilating-from-an-arbitrary-point-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dilating from an arbitrary point example | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/j5xis6Hlnds/default.jpg URL=http://www.youtube.com/watch?v=j5xis6Hlnds description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/e/dilations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/testing-congruence-by-transformations-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/thinking-about-dilations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thinking about dilations | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/6dyWKD_JPhI/default.jpg URL=http://www.youtube.com/watch?v=6dyWKD_JPhI description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/dilating-from-an-arbitrary-point-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/comparing-side-lengths-after-dilation?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing side lengths after dilation | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/2yjSAarzWF8/default.jpg URL=http://www.youtube.com/watch?v=2yjSAarzWF8 description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/thinking-about-dilations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/dilating-one-line-onto-another?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dilating one line onto another | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/jq6WFvMikBQ/default.jpg URL=http://www.youtube.com/watch?v=jq6WFvMikBQ description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/comparing-side-lengths-after-dilation?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/scaling-down-a-triangle-by-half?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scaling down a triangle by half | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/qlWZJ21O63s/default.jpg URL=http://www.youtube.com/watch?v=qlWZJ21O63s description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/dilating-one-line-onto-another?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/reflecting-across-two-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a shape by reflecting over 2 lines | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ANnuQZyEKVo/default.jpg URL=http://www.youtube.com/watch?v=ANnuQZyEKVo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/e/symmetry-of-two-dimensional-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/dilations-scaling/v/scaling-down-a-triangle-by-half?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/constructing-quad-based-on-symmetry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotating polygons 180 degrees about their center | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/P35LyN9g0oI/default.jpg URL=http://www.youtube.com/watch?v=P35LyN9g0oI description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/constructing-quad-based-on-symmetry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/axis-of-symmetry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Possible transformations example | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/_eAWDuLYVfg/default.jpg URL=http://www.youtube.com/watch?v=_eAWDuLYVfg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/properties-definitions-of-translations/e/qualitatively-defining-rigid-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/axis-of-symmetry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/properties-definitions-of-translations/v/reflecting-line-across-another-line-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotating segment about origin example | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/sQfsql8BPy0/default.jpg URL=http://www.youtube.com/watch?v=sQfsql8BPy0 description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/properties-definitions-of-translations/v/reflecting-line-across-another-line-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/determining-the-line-of-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining the line of reflection | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/BaYuvxbrCds/default.jpg URL=http://www.youtube.com/watch?v=BaYuvxbrCds description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/e/reflections-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/properties-definitions-of-translations/v/rotating-segment-about-orgin-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/drawing-line-of-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Drawing line of reflection | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/KuSQHz9vAD8/default.jpg URL=http://www.youtube.com/watch?v=KuSQHz9vAD8 description=Drawing line of reflection Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/determining-the-line-of-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/reflecting-segments-over-line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reflecting segments over line | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/kj3ZfOQGKdE/default.jpg URL=http://www.youtube.com/watch?v=kj3ZfOQGKdE description=Reflecting segments over line Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/e/reflections-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/drawing-line-of-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/points-on-line-of-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Points on line of reflection | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/63mWxNXQQAk/default.jpg URL=http://www.youtube.com/watch?v=63mWxNXQQAk description=Points on line of reflection Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/e/defining-reflections?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/reflecting-segments-over-line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/v/rotating-about-arbitrary-point?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotating about arbitrary point | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/uuDQkhx6TAI/default.jpg URL=http://www.youtube.com/watch?v=uuDQkhx6TAI description=Rotating about arbitrary point Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/e/rotations-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-reflections/v/points-on-line-of-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/v/points-after-rotation?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Points after rotation | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/6nUMiJfHLSA/default.jpg URL=http://www.youtube.com/watch?v=6nUMiJfHLSA description=Points after rotation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/e/rotations-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/v/rotating-about-arbitrary-point?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/v/defining-rotation-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Defining rotation example | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/UFRAHIvCtzg/default.jpg URL=http://www.youtube.com/watch?v=UFRAHIvCtzg description=Defining rotation example Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/e/defining-rotations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/v/points-after-rotation?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/v/drawing-image-of-translation?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Drawing image of translation | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/g_ijRF_NMLk/default.jpg URL=http://www.youtube.com/watch?v=g_ijRF_NMLk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/e/translations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-rotations/v/defining-rotation-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/v/determing-a-translation-between-points?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining a translation between points | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/nV8taxEW8-0/default.jpg URL=http://www.youtube.com/watch?v=nV8taxEW8-0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/e/translations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/v/drawing-image-of-translation?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/v/formal-translation-tool-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formal translation tool example | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/BrYEuO7fwMw/default.jpg URL=http://www.youtube.com/watch?v=BrYEuO7fwMw description=Formal translation tool example Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/e/defining-translations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/v/determing-a-translation-between-points?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/using-reflection-tool?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using reflection tool | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/RLyXTj2j_c4/default.jpg URL=http://www.youtube.com/watch?v=RLyXTj2j_c4 description=Using reflection tool Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-reflections-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/hs-geo-translations/v/formal-translation-tool-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/using-rotation-widget?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using rotation widget | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/UKM8BnpZr94/default.jpg URL=http://www.youtube.com/watch?v=UKM8BnpZr94 description=Using rotation widget Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-rotations-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/using-reflection-tool?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/translation-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Translation example | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/oxSzkIftog8/default.jpg URL=http://www.youtube.com/watch?v=oxSzkIftog8 description=Translation example Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-translations-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/using-rotation-widget?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/introduction-to-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to transformations | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/XiAoUDfrar0/default.jpg URL=http://www.youtube.com/watch?v=XiAoUDfrar0 description=Introduction to transformations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/e/performing-translations-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/translation-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/v/example-using-algebra-to-find-measure-of-supplementary-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Drawing line segments example | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/DkZnevdbf0A/default.jpg URL=http://www.youtube.com/watch?v=DkZnevdbf0A description=Let's put our new knowledge of line segments to use in this example problem. We'll help you! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/drawing-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/specifying-planes-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/lines-line-segments-and-rays?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular structure of RNA | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/jUUJSOM1ihU/default.jpg URL=http://www.youtube.com/watch?v=jUUJSOM1ihU description=Molecular structure of RNA Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/proteins-and-amino-acids/v/introduction-to-amino-acids?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/antiparallel-structure-of-dna-strands?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Antiparallel structure of DNA strands | Biology | Khan Academy thumb=https://i.ytimg.com/vi/0CQ5ls3Uc2Q/default.jpg URL=http://www.youtube.com/watch?v=0CQ5ls3Uc2Q description=Antiparallel structure of DNA strands (5' - 3' directionality) Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/molecular-structure-of-rna?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/molecular-structure-of-dna?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parabola intuition example 1 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Qv2pgv8ea-k/default.jpg URL=http://www.youtube.com/watch?v=Qv2pgv8ea-k description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/e/parabola_intuition_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/focus-and-directrix-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/v/ellipse-focus-intuition-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular structure of DNA | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/L677-Fl0joY/default.jpg URL=http://www.youtube.com/watch?v=L677-Fl0joY description=Molecular structure of DNA. Nucleotide. Nitrogenous base, phosphate. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/antiparallel-structure-of-dna-strands?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/rna-transcription-and-translation?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lipid overview | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Ezp8F7XJHWE/default.jpg URL=http://www.youtube.com/watch?v=Ezp8F7XJHWE description=Types of lipids including fats, waxes, steroids and phospholipids. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/dna-deoxyribonucleic-acid?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/lipids/v/saturated-fats-unsaturated-fats-and-trans-fats?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring quadratics as (x+a)(x+b) (example 2) | Mathematics II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/1kfq0aR3ASs/default.jpg URL=http://www.youtube.com/watch?v=1kfq0aR3ASs description=Sal factors x²-3x-10 as (x+2)(x-5) using the sum-product form: (x+a)(x+b)=x²+(a+b)x+a*b. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math2-factor-quadratics-1/v/factoring-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-factorization/math1-evaluating-expressions-with-unknown-variables/v/evaluating-expressions-with-unknown-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing an exponential equation example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/IlFD0LzAZeo/default.jpg URL=http://www.youtube.com/watch?v=IlFD0LzAZeo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/e/understanding-linear-and-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/quadratic-inequality-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/linear-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding a piecewise function definition from graph | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/IJWDyPFXGyM/default.jpg URL=http://www.youtube.com/watch?v=IJWDyPFXGyM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/e/graphing-piecewise-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/shifting-and-reflecting-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/graphing-piecewise-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matching expressions to define intervals of functions example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/iQk1M3-WvZM/default.jpg URL=http://www.youtube.com/watch?v=iQk1M3-WvZM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/e/graphing-piecewise-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/finding-a-piecewise-function-definition-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/graphing-piecewise-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimating a solution to nonlinear system with calculator part 2 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/wUb7tWgv49U/default.jpg URL=http://www.youtube.com/watch?v=wUb7tWgv49U description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/intersecting-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/non-linear-systems-of-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/estimating-a-solution-to-nonlinear-system-with-calculator?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimating a solution to nonlinear system with calculator | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/mXsn-YYUN4Y/default.jpg URL=http://www.youtube.com/watch?v=mXsn-YYUN4Y description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/intersecting-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/estimating-a-solution-to-nonlinear-system-with-calculator-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/three-equation-application-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Saturated fats, unsaturated fats, and trans fats | Biology | Khan Academy thumb=https://i.ytimg.com/vi/O9lL2KStW9s/default.jpg URL=http://www.youtube.com/watch?v=O9lL2KStW9s description=Saturated fats, unsaturated fats, and trans fats Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/lipids/v/lipid-overview?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/lipids/v/molecular-structure-of-triglycerides-fats?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular structure of triglycerides (fats) | Biology | Khan Academy thumb=https://i.ytimg.com/vi/OpyTJbzA7Fk/default.jpg URL=http://www.youtube.com/watch?v=OpyTJbzA7Fk description=Fats in comparison with glucose. Pyranose and furanose rings. Sucrose made from glucose and fructose. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/lipids/v/saturated-fats-unsaturated-fats-and-trans-fats?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/molecular-structure-of-fructose?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular structure of fructose | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/662koqcIXSk/default.jpg URL=http://www.youtube.com/watch?v=662koqcIXSk description=Fructose in comparison with glucose. Pyranose and furanose rings. Sucrose made from glucose and fructose. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/lipids/v/molecular-structure-of-triglycerides-fats?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/hydrolysis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Figure out the trig function | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/TGgOCc5hoHA/default.jpg URL=http://www.youtube.com/watch?v=TGgOCc5hoHA description=Determining a trig function given its graph Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs_of_sine_and_cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/trig-function-equation?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/amplitude-and-period-cosine-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Amplitude and period cosine transformations | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/uBVhtGL9y88/default.jpg URL=http://www.youtube.com/watch?v=uBVhtGL9y88 description=Visualizing changes in amplitude and period for a cosine function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs_of_sine_and_cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/matching-a-trigonometric-function-to-its-graph?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/example-amplitude-and-period-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Intersection of sine and cosine | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/fp9DZYmiSC4/default.jpg URL=http://www.youtube.com/watch?v=fp9DZYmiSC4 description=WATCH AN UPDATED VERSION OF THIS VIDEO AT https://www.youtube.com/watch?v=08zHioOVTd4 Thinking about where the graphs of sin and cos intersect. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs_of_sine_and_cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/example-amplitude-and-period-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-graph-of-cosine-function?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Graph of cosine | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/SdHwokUU8xI/default.jpg URL=http://www.youtube.com/watch?v=SdHwokUU8xI description=Basic interpretation of the graph of the cosine function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs_of_sine_and_cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-graphs-of-sine-and-cosine-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-graph-domain-and-range-of-sine-function?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Graph, domain, and range of sine function | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/sjUhr0HkLUg/default.jpg URL=http://www.youtube.com/watch?v=sjUhr0HkLUg description=Graphing a sin curve to think about its domain and range. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs_of_sine_and_cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-graph-of-cosine-function?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-amplitude-and-period?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Amplitude and period | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/SBqnRja4CW4/default.jpg URL=http://www.youtube.com/watch?v=SBqnRja4CW4 description=Determining the amplitude and period of a trig function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/amplitude-of-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-graph-domain-and-range-of-sine-function?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/midline-amplitude-period?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Calculator to evaluate inverse trig function | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/4M62l7m1FJ4/default.jpg URL=http://www.youtube.com/watch?v=4M62l7m1FJ4 description=Example using calculator to evaluate inverse tangent function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/inverse_trig_functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/sine-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arctan?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Converting radians to degrees | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/z0-1gBy1ykE/default.jpg URL=http://www.youtube.com/watch?v=z0-1gBy1ykE description=Worked example showing how to convert radians to degrees Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/degrees_to_radians?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radian-and-degree-conversion-practice?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/we-converting-degrees-to-radians?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Converting degrees to radians | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/O3jvUZ8wvZs/default.jpg URL=http://www.youtube.com/watch?v=O3jvUZ8wvZs description=Worked example to help understand how we convert radians to degrees Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/degrees_to_radians?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/we-converting-radians-to-degrees?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radian-measure-and-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Radian measure and arc length | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/axGgnXyuiTg/default.jpg URL=http://www.youtube.com/watch?v=axGgnXyuiTg description=Worked example that thinks about the relationship between an arc length and the angle that is subtended by the arc. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/cc-radians-and-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/we-converting-degrees-to-radians?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/ratio-between-cocentric-arcs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Using trig to solve for missing information | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/rufFQZDDXCE/default.jpg URL=http://www.youtube.com/watch?v=rufFQZDDXCE description=Worked example using trig ratios to solve for missing information and evaluate other trig ratios Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/reciprocal-trig-functions/e/reciprocal_trig_funcs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/introduction-to-radians?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/reciprocal-trig-functions/v/example-the-six-trig-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Secant (sec), cosecant (csc) and cotangent (cot) example | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Q7htxHDN8LE/default.jpg URL=http://www.youtube.com/watch?v=Q7htxHDN8LE description=Worked example where we walk through finding the major trig ratios Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/reciprocal-trig-functions/e/reciprocal_trig_funcs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/reciprocal-trig-functions/v/example-using-trig-to-solve-for-missing-information?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/v/figuring-out-coordinate-of-bended-figure-using-trig?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Trig to solve the sides and angles of a right triangle | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/l5VbdqRjTXc/default.jpg URL=http://www.youtube.com/watch?v=l5VbdqRjTXc description=Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_2?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/similarity-to-define-sine-cosine-and-tangent?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry-ii?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Using soh cah toa | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/I3jyBUyjg48/default.jpg URL=http://www.youtube.com/watch?v=I3jyBUyjg48 description=Worked example evaluating sine and cosine using soh cah toa definition. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-using-soh-cah-toa?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting an explicit formula of a geometric sequence to a recursive formula | Khan Academy thumb=https://i.ytimg.com/vi/Iq7a2vEsT-o/default.jpg URL=http://www.youtube.com/watch?v=Iq7a2vEsT-o description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/e/recursive-formulas-for-geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/sigma-notation-sum?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/v/geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Die rolling probability | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/O4Qnsubo2tg/default.jpg URL=http://www.youtube.com/watch?v=O4Qnsubo2tg description=We're thinking about the probability of rolling doubles on a pair of dice. Let's create a grid of all possible outcomes. Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/lebron-asks-about-the-chances-of-making-10-free-throws?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/getting-at-least-one-heads?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverting 3x3 part 2: Determinant and adjugate of a matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/ArcrdMkEmKo/default.jpg URL=http://www.youtube.com/watch?v=ArcrdMkEmKo description=Finishing up our 3x3 matrix inversion Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-matrices-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-3x3-part-1-calculating-matrix-of-minors-and-cofactor-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverting 3x3 part 1: Calculating matrix of minors and cofactor matrix | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/xZBbfLLfVV4/default.jpg URL=http://www.youtube.com/watch?v=xZBbfLLfVV4 description=Beginning our quest to invert a 3x3 matrix. We calculate the matrix of minors and the cofactor matrix. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-3x3-part-2-determinant-and-adjugate-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-3x3-matrix-method-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the determinant of a 3x3 matrix method 2 | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/u00I3MCrspU/default.jpg URL=http://www.youtube.com/watch?v=u00I3MCrspU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_determinant_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-3x3-part-1-calculating-matrix-of-minors-and-cofactor-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-3x3-matrix-method-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the determinant of a 3x3 matrix method 1 | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/v4MenooI1J0/default.jpg URL=http://www.youtube.com/watch?v=v4MenooI1J0 description=Using matrices to figure out if some combination of 2 vectors can create a 3rd vector Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_determinant_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-3x3-matrix-method-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/matrices-to-solve-a-vector-combination-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the determinant of a 2x2 matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/OU9sWHk_dlw/default.jpg URL=http://www.youtube.com/watch?v=OU9sWHk_dlw description=Hint for finding the determinant of a 2x2 matrix Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_determinant?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverse-of-a-2x2-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/v/matrix-transformation-quadrilateral?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hydrolysis | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/SOQyiM6V3RQ/default.jpg URL=http://www.youtube.com/watch?v=SOQyiM6V3RQ description=Dehydration synthesis (condensation reaction) between sugar molecules. Monosaccharides, disaccharides, and polysaccharides. Formation of maltose from glucose monomers. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/hydrolysis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/molecular-structure-of-glucose?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dehydration synthesis or a condensation reaction | Biology | Khan Academy thumb=https://i.ytimg.com/vi/FEAXI5XeJ4M/default.jpg URL=http://www.youtube.com/watch?v=FEAXI5XeJ4M description=Dehydration synthesis (condensation reaction) between sugar molecules. Monosaccharides, disaccharides, and polysaccharides. Formation of maltose from glucose monomers. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/hydrolysis?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/molecular-structure-of-glucose?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular structure of glucose | Macromolecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/-Aj5BTnz-v0/default.jpg URL=http://www.youtube.com/watch?v=-Aj5BTnz-v0 description=Molecular structure of glucose. Monosaccharide structure. Linear and ring forms. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/dehydration-synthesis-or-a-condensation-reaction?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/properties-of-carbon/hydrocarbon-structures-and-functional-groups/v/functional-groups?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular structure of glucose thumb=https://i.ytimg.com/vi/m5oQzyO51q0/default.jpg URL=http://www.youtube.com/watch?v=m5oQzyO51q0 description=Molecular structure of glucose/description type=video name=Functional groups | Properties of carbon | Biology | Khan Academy thumb=https://i.ytimg.com/vi/iuaYuCreEPk/default.jpg URL=http://www.youtube.com/watch?v=iuaYuCreEPk description=Hydroxyl, sulfhydryl, carbonyl, carboxyl, amino and phosphate groups. Alcohols and thiols. Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/carbohydrates-and-sugars/v/molecular-structure-of-glucose?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/properties-of-carbon/hydrocarbon-structures-and-functional-groups/v/isomers?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Functional groups thumb=https://i.ytimg.com/vi/zlpURhgEGDk/default.jpg URL=http://www.youtube.com/watch?v=zlpURhgEGDk description=Hydroxyl, sulfhydryl, carbonyl, carboxyl, amino and phosphate groups. Alcohols and thiols./description type=video name=Silicon-based life | Properties of carbon | Biology | Khan Academy thumb=https://i.ytimg.com/vi/FbP9nUrtKto/default.jpg URL=http://www.youtube.com/watch?v=FbP9nUrtKto description=Could silicon play a role similar to carbon's in supporting life? Watch the next lesson: https://www.khanacademy.org/science/biology/properties-of-carbon/carbon/v/representing-structures-of-organic-molecules?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/properties-of-carbon/carbon/v/carbon-as-a-building-block-of-life?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hydrocarbon overview | Properties of carbon | Biology | Khan Academy thumb=https://i.ytimg.com/vi/oPqq3Ex6viM/default.jpg URL=http://www.youtube.com/watch?v=oPqq3Ex6viM description=Hydrocarbon overview Watch the next lesson: https://www.khanacademy.org/science/biology/properties-of-carbon/hydrocarbon-structures-and-functional-groups/v/isomers?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/properties-of-carbon/carbon/v/representing-structures-of-organic-molecules?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Isomers | Properties of carbon | Biology | Khan Academy thumb=https://i.ytimg.com/vi/z8M4EciPpYI/default.jpg URL=http://www.youtube.com/watch?v=z8M4EciPpYI description=Structural isomers, stereoisomers, geometric isomers, cis-trans isomers, and enantiomers. Watch the next lesson: https://www.khanacademy.org/science/biology/properties-of-carbon/hydrocarbon-structures-and-functional-groups/v/functional-groups?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/properties-of-carbon/hydrocarbon-structures-and-functional-groups/v/hydrocarbon-overview?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Silicon based life thumb=https://i.ytimg.com/vi/wNOxlmgU9jk/default.jpg URL=http://www.youtube.com/watch?v=wNOxlmgU9jk description=Can silicon play a similar role that carbon plays in life?/description type=video name=Carbon as a building block of life | Properties of carbon | Biology | Khan Academy thumb=https://i.ytimg.com/vi/JgYlogdtJDo/default.jpg URL=http://www.youtube.com/watch?v=JgYlogdtJDo description=Carbon as a building block of life. Watch the next lesson: https://www.khanacademy.org/science/biology/properties-of-carbon/carbon/v/silicon-based-life?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/buffer-system?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definition of pH | Water, acids, and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/J7-GewgqWUQ/default.jpg URL=http://www.youtube.com/watch?v=J7-GewgqWUQ description=Introduction to pH and the pH scale. Examples of calculating pH of pure water, bleach, and orange juice. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/buffer-system?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/bronsted-lowry-definition-of-acids-and-bases?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to buffers | Water, acids, and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/gjKmQ501sAg/default.jpg URL=http://www.youtube.com/watch?v=gjKmQ501sAg description=Introduction to pH and the pH scale. Examples of calculating pH of pure water, bleach, and orange juice. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/buffer-system?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/bronsted-lowry-definition-of-acids-and-bases?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Arrhenius definition of acids and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Y4HzGldIAss/default.jpg URL=http://www.youtube.com/watch?v=Y4HzGldIAss description=Arrhenius definition of acids and bases Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/bronsted-lowry-definition-of-acids-and-bases?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/autoionization-water?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Brønsted-Lowry acids and bases | Chemical reactions | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/XVOU9c3crbc/default.jpg URL=http://www.youtube.com/watch?v=XVOU9c3crbc description=In the Brønsted-Lowry definition of acids and bases, an acid is a proton (H⁺) donor, and a base is a proton acceptor. When a Brønsted-Lowry acid loses a proton, a conjugate base is formed. Similarly, when a Brønsted-Lowry base gains a proton, a conjugate acid is formed. A Brønsted-Lowry acid (or base) and its conjugate base (or acid) are known as a conjugate acid-base pair. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:chemical-reactions/x2eef969c74e0d802:introduction-to-acid-base-reactions/v/bronsted-lowry-definition-of-acids-and-bases Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Autoionization of water | Water, acids, and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/NUyYlRxMtcs/default.jpg URL=http://www.youtube.com/watch?v=NUyYlRxMtcs description=Autoionization of water into hydronium and hydroxide ions Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/arrhenius-definition-of-acids-and-bases?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/liquid-water-denser-than-solid-water-ice?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Capillary action and why we see a meniscus | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/eQXGpturk3A/default.jpg URL=http://www.youtube.com/watch?v=eQXGpturk3A description=How capillary action and the meniscus are related to intermolecular forces in water. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/mixtures-and-solutions/v/suspensions-colloids-and-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/introduction-to-intermolecular-forces/v/surface-tension?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface tension | States of matter and intermolecular forces | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/_RTF0DAHBBM/default.jpg URL=http://www.youtube.com/watch?v=_RTF0DAHBBM description=Surface tension in water, and how the surface tension is related to hydrogen bonding. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/introduction-to-intermolecular-forces/v/capillary-action-and-why-we-see-a-meniscus?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/introduction-to-intermolecular-forces/v/solubility?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Heat of vaporization of water and ethanol | Biology | Khan Academy thumb=https://i.ytimg.com/vi/bVHuI_QpYIM/default.jpg URL=http://www.youtube.com/watch?v=bVHuI_QpYIM description=Heat of vaporization of water and ethanol Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/specific-heat-of-water?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/evaporative-cooling?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaporative cooling | Water, acids, and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/_eEONOJHnEs/default.jpg URL=http://www.youtube.com/watch?v=_eEONOJHnEs description=Evaporative cooling. Why sweating cools you down. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/heat-of-vaporization-of-water-and-ethanol?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/lebron-asks-why-does-sweating-cool-you-down?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Specific heat of water | Water, acids, and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/h-31O7CaF2o/default.jpg URL=http://www.youtube.com/watch?v=h-31O7CaF2o description=Specific heat of water. A calorie as the specific heat of water. How water moderates temperature. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/liquid-water-denser-than-solid-water-ice?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/heat-of-vaporization-of-water-and-ethanol?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Water as a solvent | Water, acids, and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/lCvBp73ZJ-A/default.jpg URL=http://www.youtube.com/watch?v=lCvBp73ZJ-A description=Water as a solvent. Polar solutes. Hydrophilic and hydrophobic substances. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/cohesion-and-adhesion/v/capillary-action-and-why-we-see-a-meniscus?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/hydrogen-bonding-in-water/v/hydrogen-bonding-in-water?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Liquid water denser than solid water (ice) | Biology | Khan Academy thumb=https://i.ytimg.com/vi/Y3ATc9he254/default.jpg URL=http://www.youtube.com/watch?v=Y3ATc9he254 description=Water less dense as ice. Why lakes don't freeze solid. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/acids-bases-and-ph/v/autoionization-water?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/water-acids-and-bases/water-as-a-solid-liquid-and-gas/v/specific-heat-of-water?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hydrogen bonding in water | Water, acids, and bases | Biology | Khan Academy thumb=https://i.ytimg.com/vi/6G1evL7ELwE/default.jpg URL=http://www.youtube.com/watch?v=6G1evL7ELwE description=Reactants and products in reversible and irreversible chemical reactions. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/hydrogen-bonding-in-water/v/hydrogen-bonding-in-water?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/chemistry--of-life/chemical-bonds-and-reactions/v/intermolecular-forces-and-molecular-bonds?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of the Bolshevik Revolution thumb=https://i.ytimg.com/vi/VJuBX1p0Gys/default.jpg URL=http://www.youtube.com/watch?v=VJuBX1p0Gys description=Overview of the Bolshevik Revolution and the end of the Romanov Dynasty./description type=video name=Chemical reactions introduction | Chemistry of life | Biology | Khan Academy thumb=https://i.ytimg.com/vi/TStjgUmL1RQ/default.jpg URL=http://www.youtube.com/watch?v=TStjgUmL1RQ description=Reactants and products in reversible and irreversible chemical reactions. Watch the next lesson: https://www.khanacademy.org/science/biology/water-acids-and-bases/hydrogen-bonding-in-water/v/hydrogen-bonding-in-water?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/chemistry--of-life/chemical-bonds-and-reactions/v/intermolecular-forces-and-molecular-bonds?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing decimals completely | Arithmetic operations | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/7JPIX3odZrY/default.jpg URL=http://www.youtube.com/watch?v=7JPIX3odZrY description=Dividing decimals completely Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/e/dividing_decimals_3?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/v/long-division-with-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/v/dividing-decimals-with-hundredths?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out coordinate of bended figure using trig | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/GZ1ogxruLJM/default.jpg URL=http://www.youtube.com/watch?v=GZ1ogxruLJM description=Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/reciprocal-trig-functions/v/example-the-six-trig-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/v/angle-to-aim-to-get-alien?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long division with decimals | Arithmetic operations | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/x48CYVaD0xE/default.jpg URL=http://www.youtube.com/watch?v=x48CYVaD0xE description=Long division with decimals Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/e/dividing_decimals_3?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-fractions-topic/cc-5th-add-sub-fractions/v/adding-fractions-with-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-arith-operations/cc-5th-dividing-decimals/v/dividing-decimals-completely?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is the range of a function? | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/96uHMcHWD2E/default.jpg URL=http://www.youtube.com/watch?v=96uHMcHWD2E description=Sal introduces the concept of "range" of a function and gives examples for functions and their ranges. Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-and-range-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-of-a-function-intro?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting graphs of proportional relationships (examples) | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/muZmOiiukQE/default.jpg URL=http://www.youtube.com/watch?v=muZmOiiukQE description=Learn how to read and understand graphs of proportional relationships Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/e/interpreting-graphs-of-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-variables-expressions/cc-7th-manipulating-expressions/v/combining-like-terms?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/constructing-an-equation-for-a-proportional-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Francisco Franco and the Spanish Civil War thumb=https://i.ytimg.com/vi/TYke_R9_ar8/default.jpg URL=http://www.youtube.com/watch?v=TYke_R9_ar8 description=Francisco Franco and the Spanish Civil War/description type=video name=How to determine the domain of a modeling function | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/d1O54EQ1DSE/default.jpg URL=http://www.youtube.com/watch?v=d1O54EQ1DSE description=Sal determines the domain of a function that models going up and down a ladder. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/e/interpreting-domain?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/recognizing_functions/v/graphical-relations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-modeling-function-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equations of proportional relationships | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/qcz1Cm_-l50/default.jpg URL=http://www.youtube.com/watch?v=qcz1Cm_-l50 description=Learn how to write a proportional equation y=kx where k is the so-called "constant of proportionality". Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/e/writing-proportional-equations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/constructing-an-equation-for-a-proportional-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/using-proportion-to-solve-for-variable?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proportion word problem (example 2) | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/s8_14yxp1lQ/default.jpg URL=http://www.youtube.com/watch?v=s8_14yxp1lQ description=Mika can eat 21 hot dogs in 66 minutes. She wants to know how many minutes it would take her to eat 35 hot dogs if she can keep up the same pace. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/e/constructing-proportions-to-solve-application-problems?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/equations-of-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/find-an-unknown-in-a-proportion-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intervals and interval notation | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/UJQkqV2zGv0/default.jpg URL=http://www.youtube.com/watch?v=UJQkqV2zGv0 description=Intervals describe specific sets of numbers and are very useful when discussing domain and range. In this video, Sal introduces the different types of intervals and their notations. Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/domain-of-a-function-intro?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-function-notation/v/interpreting-function-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to visually identify proportional relationships using graphs | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/C7CY4l99S7M/default.jpg URL=http://www.youtube.com/watch?v=C7CY4l99S7M description=Learn how to tell proportional relationships by drawing graphs. Key idea: the graph of a proportional relationship is a straight line through the origin. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-graphs-proportions/e/analyzing-and-identifying-proportional-relationships-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/find-an-unknown-in-a-proportion?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/banana-proportionality?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing scatter plot exercise example | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/aT2UN7y1rhc/default.jpg URL=http://www.youtube.com/watch?v=aT2UN7y1rhc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/e/constructing-scatter-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/comparing-models-to-fit-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/constructing-scatter-plot?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a scatter plot | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/sHbX58y5D4U/default.jpg URL=http://www.youtube.com/watch?v=sHbX58y5D4U description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/e/constructing-scatter-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/constructing-scatter-plot-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/trends-in-smoking-scatter-plot?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=People smoking less over time scatter plot | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/F5uiFXECnVY/default.jpg URL=http://www.youtube.com/watch?v=F5uiFXECnVY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/e/interpreting-scatter-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/constructing-scatter-plot?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/scatter-plot-interpreting?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Studying, shoe size, and test scores scatter plots | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Jpbm5YgciqI/default.jpg URL=http://www.youtube.com/watch?v=Jpbm5YgciqI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/e/interpreting-scatter-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/trends-in-smoking-scatter-plot?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/poisson_process/v/poisson-process-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reasonable samples | Statistical studies | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/aKAw-DyZa6g/default.jpg URL=http://www.youtube.com/watch?v=aKAw-DyZa6g description=To make a valid conclusion, you'll need a representative, not skewed, sample. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/statistical-questions/e/valid-claims?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/v/types-statistical-studies?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/statistical-questions/v/statistics-sample-vs-population-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chain rule example using visual information | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/eJxSDYO82c4/default.jpg URL=http://www.youtube.com/watch?v=eJxSDYO82c4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/e/chain_rule_1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/chain-rule-with-triple-composition?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/chain-rule-on-two-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chain rule example using visual function definitions | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Zr72qWNMk7E/default.jpg URL=http://www.youtube.com/watch?v=Zr72qWNMk7E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/e/chain_rule_1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/chain-rule-on-two-functions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/derivative-of-log-with-arbitrary-base?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Squeeze theorem exercise example | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/2XQH-J5KeHI/default.jpg URL=http://www.youtube.com/watch?v=2XQH-J5KeHI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/e/squeeze-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/squeeze-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/squeeze-theorem-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit by factoring cubic expression | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/rU222pVq520/default.jpg URL=http://www.youtube.com/watch?v=rU222pVq520 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/algebraic-limits/e/limits_2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/v/limits-to-define-continuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/algebraic-limits/v/limit-properties?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Two-sided limit from graph | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/rccqylTloMs/default.jpg URL=http://www.youtube.com/watch?v=rccqylTloMs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/calculus-estimating-limits-graph/e/two-sided-limits-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/algebraic-limits/v/limit-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/calculus-estimating-limits-graph/v/determining-which-limit-statements-are-true?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inferring limit from numerical data | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/XIsPC-f2e2c/default.jpg URL=http://www.youtube.com/watch?v=XIsPC-f2e2c description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/numerically-estimating-limit?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/introduction-to-limits-hd?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit vector notation | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/9ylUcCOTH8Y/default.jpg URL=http://www.youtube.com/watch?v=9ylUcCOTH8Y description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/unit-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra-parametric-representations-of-lines?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra-vector-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying a vector by a scalar | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ZN7YaSbY3-w/default.jpg URL=http://www.youtube.com/watch?v=ZN7YaSbY3-w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra-vector-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/adding-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding vectors | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8QihetGj3pg/default.jpg URL=http://www.youtube.com/watch?v=8QihetGj3pg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/multiplying-vector-by-scalar?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/real-coordinate-spaces?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Real coordinate spaces | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lCsjJbZHhHU/default.jpg URL=http://www.youtube.com/watch?v=lCsjJbZHhHU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/adding-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/vector-introduction-linear-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector intro for linear algebra | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/br7tS1t2SFE/default.jpg URL=http://www.youtube.com/watch?v=br7tS1t2SFE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/real-coordinate-spaces?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to proportional relationships | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/qYjiVWwefto/default.jpg URL=http://www.youtube.com/watch?v=qYjiVWwefto description=The relationship between two variables is proportional if Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/e/analyzing-and-identifying-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/proportionality-between-side-length-and-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates/v/rate-problem-with-fractions-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining rates with fractions | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/2DBBKArGfus/default.jpg URL=http://www.youtube.com/watch?v=2DBBKArGfus description=Determining rates with fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates/e/rate_problems_1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-rates/v/rate-problem-with-fractions-1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-multistep-word-probs/v/u09-l1-t2-we4-adding-real-numbers-application?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to estimate the average rate of change of a modeling function from a graph | Khan Academy thumb=https://i.ytimg.com/vi/-6EqUILZ1yw/default.jpg URL=http://www.youtube.com/watch?v=-6EqUILZ1yw description=Given the graph of a skydiver's altitude, Sal finds the average rate of change in altitude over a given time interval. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/e/average-rate-of-change-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/v/average-rate-of-change-with-function-notation-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/v/average-rate-of-change-from-table-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to represent the average rate of change of a modeling function as an expression | Khan Academy thumb=https://i.ytimg.com/vi/wmQdFLdxLYc/default.jpg URL=http://www.youtube.com/watch?v=wmQdFLdxLYc description=Given the graph of a skydiver's altitude, Sal finds the average rate of change in altitude over a given time interval. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/e/average-rate-of-change-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/sequences/introduction_to_sequences/v/explicit-and-recursive-definitions-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/v/average-rate-of-change-from-graph-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Format changes to the new SAT | Tips & Planning | New SAT | Khan Academy thumb=https://i.ytimg.com/vi/qYD5iwhLzm8/default.jpg URL=http://www.youtube.com/watch?v=qYD5iwhLzm8 description=In March 2016, the SAT is switching to a new format. Sal covers how the exam is changing. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-tips-planning/new-sat-about-sat/v/sat-differences-of-new-sat?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT Missed the previous lesson? https://www.khanacademy.org/test-prep/new-sat/new-sat-tips-planning/new-sat-about-sat/v/walk-through-sat-practice-platform?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT New SAT (starting March 2016) on Khan Academy: Practice all of the skills you’ll need for the new SAT. We also have four official practice exams from College Board. The October 2015 PSAT is in the style of the new SAT. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s New SAT channel: https://www.youtube.com/channel/UCb6Pzsn8oIFv1N8eGem570A?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting linear functions — Harder example | Math | New SAT | Khan Academy thumb=https://i.ytimg.com/vi/AqzpkyiL4s4/default.jpg URL=http://www.youtube.com/watch?v=AqzpkyiL4s4 description=Watch Sal work through a harder Interpreting linear functions problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-heart-of-algebra/v/sat-linear-equation-easier?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT Missed the previous lesson? https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-heart-of-algebra/v/sat-math-h8-easier?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT New SAT (starting March 2016) on Khan Academy: Practice all of the skills you’ll need for the new SAT. We also have four official practice exams from College Board. The October 2015 PSAT is in the style of the new SAT. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s New SAT channel: https://www.youtube.com/channel/UCb6Pzsn8oIFv1N8eGem570A?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the average rate of change of a modeling function from a table | Khan Academy thumb=https://i.ytimg.com/vi/FBWGRbHf7rU/default.jpg URL=http://www.youtube.com/watch?v=FBWGRbHf7rU description=Sal compares the average rates of a change of a function that models temperature for different time intervals. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/e/average-rate-of-change-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/v/average-rate-of-change-from-graph-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/average-rate-of-change-when-function-defined-by-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to match the features of a modeling function to their real-world meaning | Khan Academy thumb=https://i.ytimg.com/vi/VtBRkjRua0I/default.jpg URL=http://www.youtube.com/watch?v=VtBRkjRua0I description=Sal considers the graph of a function that models temperature over time, and matches features of that graph to their real-world meaning. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-features-of-graphs/e/interpret-features-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/interpreting-features-of-graphs/v/interpreting-features-of-functions-2-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/positive-negative-increasing-decreasing-intervals/v/when-a-function-is-positive-or-negative?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to increasing, decreasing, positive or negative intervals | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/KxOp3s9ottg/default.jpg URL=http://www.youtube.com/watch?v=KxOp3s9ottg description=Sal discusses there Intervals where function is increasing, decreasing, postive or negative and their graphical representation. Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/positive-negative-increasing-decreasing-intervals/v/when-a-function-is-positive-or-negative?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/maximum-and-minimum-points/v/identifying-relative-and-absolute-maxima-and-minima?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the domain and range of a piecewise function | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/rpI-X9Gn5a4/default.jpg URL=http://www.youtube.com/watch?v=rpI-X9Gn5a4 description=Sal finds the domain and range of a piecewise function where each segment is linear. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/e/domain-and-range-piecewise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/maximum-and-minimum-points/v/relative-minima-maxima?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/v/domain-and-range-for-piecewise-step-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the domain and range of a piecewise function | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/4n7TIvRHuDs/default.jpg URL=http://www.youtube.com/watch?v=4n7TIvRHuDs description=Sal finds the domain and range of a piecewise function that is constant in each segment. Such functions are called "step functions." Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/e/domain-and-range-piecewise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/v/domain-and-range-for-piecewise-linear-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/v/graphing-piecewise-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to decimals | Decimals | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/BItpeFXC4vA/default.jpg URL=http://www.youtube.com/watch?v=BItpeFXC4vA description=An introduction to decimal numbers‰ÛÓunderstanding place value to the right of the decimal Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/e/decimals-in-words?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-decimals/cc-4th-decimals-intro/v/decimals-as-words?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-fractions-unlike-denom/v/adding-fractions-with-10-and-100-as-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relating addition and subtraction | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/zVLjWIftX_o/default.jpg URL=http://www.youtube.com/watch?v=zVLjWIftX_o description=See the relationship between 2+3=5, 5-2=3, and 5-3=2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-subtract-10/e/relate-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-subtract-10/v/addition-and-subtraction-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-make-10/v/adding-to-10-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting hundreds, tens, and ones | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/ycBxbgjQns4/default.jpg URL=http://www.youtube.com/watch?v=ycBxbgjQns4 description=Learn how to subtract three-digit numbers by subtracting ones, tens, and hundreds. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens-hundreds/e/subtract-within-1000--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/skip-counting-by-5-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens-hundreds/v/subtracting-hundreds-and-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting with small numbers | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/y2-uaPiyoxc/default.jpg URL=http://www.youtube.com/watch?v=y2-uaPiyoxc description=Learn how to count squirrels and horses. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-counting/e/counting-out-1-20-objects?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-counting/v/counting-in-order?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel:: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Snow on Friday | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/wyWy4PouQxQ/default.jpg URL=http://www.youtube.com/watch?v=wyWy4PouQxQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/e/addition-and-subtraction-word-problems-within-100--level-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/using-crayons?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/fence-posts-for-horses?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding ten or one hundred | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/wwO6DjL_wFw/default.jpg URL=http://www.youtube.com/watch?v=wwO6DjL_wFw description=Learn how to add 1, 10, or 100 to a number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens-hundreds/e/add-within-1000--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens-hundreds/v/adding-hundreds-tens-and-ones?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/spots-on-a-die?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtract tens exercise | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/wZtNRT_-p7E/default.jpg URL=http://www.youtube.com/watch?v=wZtNRT_-p7E description=Learn how to add and subtract tens. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/e/subtract-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/v/subtracting-2-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/v/understanding-place-value-when-subtracting-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Picture graphs | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/w49ddHSDGUA/default.jpg URL=http://www.youtube.com/watch?v=w49ddHSDGUA description=Read and interpret a picture graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-picture-graphs/e/solving-problems-with-picture-graphs-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-bar-graphs/v/reading-bar-graph-examples?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-word-problems/v/basic-measurement?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing small numbers on the number line | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/tJrSILRXOUc/default.jpg URL=http://www.youtube.com/watch?v=tJrSILRXOUc description=Learn to use a number line to compare numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/e/comparing-numbers-through-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/v/count-by-category?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/v/comparing-groups-through-10-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Skip counting by 100 example | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/ruAXk6RnkG8/default.jpg URL=http://www.youtube.com/watch?v=ruAXk6RnkG8 description=Learn to count by hundreds. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/e/skip-counting-by-100s?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/repeated-addition-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/counting-by-tens-examples?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting dollars | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/s6NOa1KTCxQ/default.jpg URL=http://www.youtube.com/watch?v=s6NOa1KTCxQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-dollars?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-american-coins?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-time/v/telling-time-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Losing tennis balls | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/rm3NjcSmFFo/default.jpg URL=http://www.youtube.com/watch?v=rm3NjcSmFFo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/e/addition-and-subtraction-word-problems-within-100--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/fence-posts-for-horses?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/adding-and-subtracting-on-number-line-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting by tens examples | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/rfZokAnD7QM/default.jpg URL=http://www.youtube.com/watch?v=rfZokAnD7QM description=Learn to count by tens. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/e/skip-counting-by-10s?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/skip-counting-by-100-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/skip-counting-by-5-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fewer word problems | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/qyvwN-2PoXA/default.jpg URL=http://www.youtube.com/watch?v=qyvwN-2PoXA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/e/addition-and-subtraction-word-problems-within-100--level-3?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/more-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/using-crayons?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtraction word problems within 10 | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/qSkpZswoZTc/default.jpg URL=http://www.youtube.com/watch?v=qSkpZswoZTc description=Learn how to solve word problems by subtracting small numbers (numbers 10 or less). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-word-problem-within-10/e/subtraction-word-problems-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-teens/v/teens-and-ten?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-word-problem-within-10/v/addition-word-problems-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Spots on a die | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/pvyqucC-0NU/default.jpg URL=http://www.youtube.com/watch?v=pvyqucC-0NU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/e/addition-and-subtraction-word-problems-within-100--level-4?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens-hundreds/v/adding-ten-or-one-hundred?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/starfish-rulers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting American coins | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/pJ8KwRztfF0/default.jpg URL=http://www.youtube.com/watch?v=pJ8KwRztfF0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-dollars?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-shapes/v/sides-corners?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-dollars?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparison word problems | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/osIFa9zcI-w/default.jpg URL=http://www.youtube.com/watch?v=osIFa9zcI-w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-more-fewer-20/e/addition-and-subtraction-word-problems-within-20--level-3?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-more-fewer-20/v/more-comparison-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-within-20/v/exercising-gorillas?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing lengths | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/o-D-8B_5ibU/default.jpg URL=http://www.youtube.com/watch?v=o-D-8B_5ibU description=Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-compare-estimate-length/v/estimating-lengths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-measuring-length/v/measuring-lengths-with-different-units?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring lengths 2 | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/muC7HMIEYDU/default.jpg URL=http://www.youtube.com/watch?v=muC7HMIEYDU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-measuring-length/e/measuring-lengths-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-measuring-length/v/measuring-lengths-with-different-units?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-intro/v/order-by-length?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting in pictures | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/leDYnoNSvD4/default.jpg URL=http://www.youtube.com/watch?v=leDYnoNSvD4 description=Learn how to count the number of objects you see in pictures. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/e/counting-in-scenes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/v/how-many-objects-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/v/numbers-to-120?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition and subtraction within 10 | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/kpEJwpemL2Q/default.jpg URL=http://www.youtube.com/watch?v=kpEJwpemL2Q description=See how to solve a bunch of addition and subtraction problems with small numbers. All numbers in this video are 10 or less. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-subtract-10/e/addition-and-subtraction-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-word-problem-within-10/v/addition-word-problems-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-subtract-10/v/relating-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More word problems | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/jDIj0CUjGvM/default.jpg URL=http://www.youtube.com/watch?v=jDIj0CUjGvM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/e/addition-and-subtraction-word-problems-within-100--level-3?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/starfish-rulers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/fewer-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Repeated addition example | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/j5c6pqAP2IA/default.jpg URL=http://www.youtube.com/watch?v=j5c6pqAP2IA description=Learn how to solve word problems by adding the same number many times. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/e/repeated-addition?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-intro/v/order-by-length?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/skip-counting-by-100-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equal sign | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/gEGKvx1wlFg/default.jpg URL=http://www.youtube.com/watch?v=gEGKvx1wlFg description=Learn what the equals sign really means. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-equals-sign/e/meaning-of-equal-sign-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-within-20/v/sea-monsters-and-superheroes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-sub-20/v/subtracting-within-20?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Telling time exercise example 2 | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/ftndEjAg6qs/default.jpg URL=http://www.youtube.com/watch?v=ftndEjAg6qs description=Tell time on unlabeled analog clocks. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-time/e/telling_time?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-dollars?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-time/v/telling-time-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to addition | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/fsTD_jqseBA/default.jpg URL=http://www.youtube.com/watch?v=fsTD_jqseBA description=Learn what it means to add. The examples used in this video are 1+1 and 2+3. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-intro/e/addition_1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-intro/v/subtraction-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/v/count-by-category?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sea monsters and superheroes | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/fGok2nHOjnI/default.jpg URL=http://www.youtube.com/watch?v=fGok2nHOjnI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-within-20/e/addition-and-subtraction-word-problems-within-20--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-within-20/v/exercising-gorillas?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-equals-sign/v/equal-sign?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding place value when subtracting tens | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/bNNrlzel4Gw/default.jpg URL=http://www.youtube.com/watch?v=bNNrlzel4Gw description=Learn how to subtract 40 from 65 by thinking about place value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/e/subtract-with-in-100-level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/v/subtract-tens-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/v/understanding-place-value-while-subtracting-ones?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring lengths with different units | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/_irJM-um6HE/default.jpg URL=http://www.youtube.com/watch?v=_irJM-um6HE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-measuring-length/e/measuring-lengths-with-different-units?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-compare-estimate-length/v/comparing-lengths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-measuring-length/v/measuring-lengths-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing numbers of objects | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/__nkbr6DeTg/default.jpg URL=http://www.youtube.com/watch?v=__nkbr6DeTg description=Learn what "more than" and "less than" mean. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/e/compare-groups-through-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/v/comparing-numbers-through-10-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/v/counting-objects-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using crayons | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/ZJ39gHgz_Dk/default.jpg URL=http://www.youtube.com/watch?v=ZJ39gHgz_Dk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/e/addition-and-subtraction-word-problems-within-100--level-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/fewer-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/snow-on-friday?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Filling rectangles with squares | Geometry | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/Z0B1IyDeNLI/default.jpg URL=http://www.youtube.com/watch?v=Z0B1IyDeNLI description=Learn how to fill rectangles with squares. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/e/filling-rectangles-with-same-sized-squares?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/v/equal-parts-of-circles-and-rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/v/halves-and-fourths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equal parts of circles and rectangles | Geometry | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/YwNX9uWszQY/default.jpg URL=http://www.youtube.com/watch?v=YwNX9uWszQY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/e/equal-parts-of-circles-and-rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath This is the last video in our early math subject! Now move on to our first video in Arithmetic:: https://www.khanacademy.org/math/arithmetic/addition-subtraction/basic_addition/v/basic-addition?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/v/filling-rectangles-with-squares?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Skip counting by 5 example | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/UwWn84u6i8s/default.jpg URL=http://www.youtube.com/watch?v=UwWn84u6i8s description=Learn to count by fives. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/e/skip-counting-by-5s?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/counting-by-tens-examples?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens-hundreds/v/subtracting-3-digits?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding 5 + 3 + 6 | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/Utm875JRi-o/default.jpg URL=http://www.youtube.com/watch?v=Utm875JRi-o description=Learn how to add 5 + 3 + 6. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/e/adding-three-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-sub-20/v/subtracting-within-20?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/v/adding-within-20-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Count by category | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/UA975j_qsTQ/default.jpg URL=http://www.youtube.com/watch?v=UA975j_qsTQ description=Learn to count the number of things in different categories. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/e/sort-groups-by-count?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-intro/v/addition-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/v/comparing-numbers-through-10-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exercising gorillas | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/SfgD7Sm08ns/default.jpg URL=http://www.youtube.com/watch?v=SfgD7Sm08ns description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-within-20/e/addition-and-subtraction-word-problems-within-20--level-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-more-fewer-20/v/comparison-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-within-20/v/sea-monsters-and-superheroes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order by length | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/SQmyTmO8OKw/default.jpg URL=http://www.youtube.com/watch?v=SQmyTmO8OKw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-intro/e/order-by-length?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-measuring-length/v/measuring-lengths-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-skip-counting/v/repeated-addition-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding hundreds, tens, and ones | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/SCBp0d6zR2I/default.jpg URL=http://www.youtube.com/watch?v=SCBp0d6zR2I description=Learn how to add three-digit numbers by adding ones, tens, and hundreds. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens-hundreds/e/add-within-1000--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens-hundreds/v/subtracting-hundreds-and-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens-hundreds/v/adding-ten-or-one-hundred?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Starfish rulers | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/QYOieJuzDr4/default.jpg URL=http://www.youtube.com/watch?v=QYOieJuzDr4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/e/addition-and-subtraction-word-problems-within-100--level-4?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/spots-on-a-die?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-more-fewer-100/v/more-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition using groups of 10 intro | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/Q35CH9B3tvc/default.jpg URL=http://www.youtube.com/watch?v=Q35CH9B3tvc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-making-groups-of-ten/e/making-100?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-making-groups-of-ten/v/adding-by-getting-to-group-of-10-first?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-subtract-100/v/addition-with-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting in order | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/PEeUTQ0Gri8/default.jpg URL=http://www.youtube.com/watch?v=PEeUTQ0Gri8 description=Learn how to count without making mistakes. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-counting/e/counting-objects?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/v/finding-missing-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-counting/v/counting-with-small-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading bar graph examples | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/OmLl6pkvV-I/default.jpg URL=http://www.youtube.com/watch?v=OmLl6pkvV-I description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-bar-graphs/e/solving-problems-with-bar-graphs-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-bar-graphs/v/solving-problems-with-bar-graphs-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-picture-graphs/v/picture-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Telling time exercise example 1 | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/NjJFJ7ge_qk/default.jpg URL=http://www.youtube.com/watch?v=NjJFJ7ge_qk description=Tell time on a labeled analog clock. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-time/e/telling_time_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-time/v/telling-time-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-line-plots/v/making-line-plots?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding two-digit numbers without regrouping | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/K5rmfHlHy20/default.jpg URL=http://www.youtube.com/watch?v=K5rmfHlHy20 description=Learn to add 23 + 45 thinking about place value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-subtract-100/e/addition_3?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-subtract-100/v/addition-with-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens/v/understanding-place-value-while-adding-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compose shapes | Geometry | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/K3GV13uokbk/default.jpg URL=http://www.youtube.com/watch?v=K3GV13uokbk description=Learn how to combine shapes to make other shapes. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-composing-shapes/e/compose-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/v/halves-and-fourths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-properties-shapes/v/recognizing-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving problems with bar graphs 2 | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/JCdbCdwqXbc/default.jpg URL=http://www.youtube.com/watch?v=JCdbCdwqXbc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-bar-graphs/e/solving-problems-with-bar-graphs-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-line-plots/v/introduction-to-line-plots?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-bar-graphs/v/reading-bar-graph-examples?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting whales, sheep, and flowers | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/I9S5CvSqb5A/default.jpg URL=http://www.youtube.com/watch?v=I9S5CvSqb5A description=Learn how to count animals. Animals in these pictures are organized neatly. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/e/how-many-objects-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/v/counting-objects-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/v/counting-in-scenes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Making line plots | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/HN6FNS7lRhw/default.jpg URL=http://www.youtube.com/watch?v=HN6FNS7lRhw description=Making line plots. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-line-plots/e/creating-line-plots-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-time/v/telling-time-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-line-plots/v/introduction-to-line-plots?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding place value while subtracting ones | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/FWEqB0J6mgA/default.jpg URL=http://www.youtube.com/watch?v=FWEqB0J6mgA description=Learn how to subtract 4 from 46 by thinking about place value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/e/subtract-with-in-100-level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/v/understanding-place-value-when-subtracting-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-making-groups-of-ten/v/adding-by-getting-to-group-of-10-first?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Length word problems | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/Ei5mgFtUGns/default.jpg URL=http://www.youtube.com/watch?v=Ei5mgFtUGns description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-word-problems/e/length-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-word-problems/v/basic-measurement?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-compare-estimate-length/v/estimating-lengths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting dogs, mice, and cookies | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/EUqhLxFccbM/default.jpg URL=http://www.youtube.com/watch?v=EUqhLxFccbM description=Learn how to count animals organized in different patterns. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/e/how-many-objects-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-comparing-numbers/v/comparing-groups-through-10-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/v/how-many-objects-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and subtracting on number line word problems | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/EQrCdEF3vNE/default.jpg URL=http://www.youtube.com/watch?v=EQrCdEF3vNE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/e/adding-and-subtracting-on-the-number-line-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/losing-tennis-balls?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/v/introduction-to-regrouping-borrowing?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding by getting to group of 10 first | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/DzJvR56Suss/default.jpg URL=http://www.youtube.com/watch?v=DzJvR56Suss description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-making-groups-of-ten/e/making-100?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/v/understanding-place-value-while-subtracting-ones?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-making-groups-of-ten/v/addition-using-groups-of-10-intro?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding place value while adding tens | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/Dy5uDkOoMNc/default.jpg URL=http://www.youtube.com/watch?v=Dy5uDkOoMNc description=Learn how to add 23 + 30 by thinking about place value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens/e/add-within-100--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-subtract-100/v/adding-two-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens/v/understanding-place-value-when-adding-ones?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Getting to 10 by filling boxes | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/An46SYAxhtc/default.jpg URL=http://www.youtube.com/watch?v=An46SYAxhtc description=Learn how to add two numbers to make 10. This video shows two examples: 3 + ___ = 10 and 6 + ___ = 10. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-make-10/e/making-ten?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-make-10/v/adding-to-10-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-making-5-9/v/making-5?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to subtraction | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/AO9bHbUdg-M/default.jpg URL=http://www.youtube.com/watch?v=AO9bHbUdg-M description=Learn what it means to subtract. The examples used in this video are 4-3 and 5-2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-intro/e/subtraction_1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-together-apart/v/adding-fruit?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-intro/v/addition-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Making 5 | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/A-ykhY_IoaU/default.jpg URL=http://www.youtube.com/watch?v=A-ykhY_IoaU description=Learn how to add numbers to make 5. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-making-5-9/e/making-five?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-make-10/v/getting-to-10-by-filling-boxes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-together-apart/v/adding-fruit?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding to 10 | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/9FC0WT186aY/default.jpg URL=http://www.youtube.com/watch?v=9FC0WT186aY description=Learn that if we have 3 bananas, then we need 7 more bananas to make 10 bananas. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-make-10/e/making-ten-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-subtract-10/v/relating-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-make-10/v/getting-to-10-by-filling-boxes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding place value when adding ones | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/7_QPAdHILzw/default.jpg URL=http://www.youtube.com/watch?v=7_QPAdHILzw description=Learn how to add 37 + 2 by thinking about place value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens/e/add-within-100--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens/v/understanding-place-value-while-adding-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-word-problems-more-fewer-20/v/more-comparison-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting ten or one hundred | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/4BNIGTHUTTM/default.jpg URL=http://www.youtube.com/watch?v=4BNIGTHUTTM description=Learn how to subtract 1, 10, or 100 from a number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens-hundreds/e/subtract-within-1000--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens-hundreds/v/subtracting-3-digits?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-ones-tens-hundreds/v/adding-hundreds-tens-and-ones?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fence posts for horses | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/1dZsuE0vxEI/default.jpg URL=http://www.youtube.com/watch?v=1dZsuE0vxEI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/e/addition-and-subtraction-word-problems-within-100--level-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/snow-on-friday?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/losing-tennis-balls?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Missing numbers between 0 and 120 | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/1AqkBdCBm9o/default.jpg URL=http://www.youtube.com/watch?v=1AqkBdCBm9o description=Learn how to find missing numbers between 0 and 120. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/e/count-to-100?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-count-object-topic/v/counting-in-scenes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/v/number-grid?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing shapes | Geometry | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/10dTx1Zy_4w/default.jpg URL=http://www.youtube.com/watch?v=10dTx1Zy_4w description=Learn how to identify circles, triangles, squares, rectangles, rhombuses, and trapezoids. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-shapes/e/naming-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-properties-shapes/v/sides-corners?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-shapes/v/sides-corners?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Halves and fourths | Geometry | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/0lSTXtwPuOU/default.jpg URL=http://www.youtube.com/watch?v=0lSTXtwPuOU description=Learn how to divide shapes into two or four equal sections. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/e/halves-and-fourths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-fractions-of-shapes/v/filling-rectangles-with-squares?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-composing-shapes/v/compose-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimating lengths | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/0B91xPrwcPE/default.jpg URL=http://www.youtube.com/watch?v=0B91xPrwcPE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-compare-estimate-length/e/estimating-lengths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-word-problems/v/length-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-compare-estimate-length/v/comparing-lengths?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition word problems within 10 | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/-3DFzxbP9Fk/default.jpg URL=http://www.youtube.com/watch?v=-3DFzxbP9Fk description=Learn how to solve word problems by adding small numbers (numbers 10 or less). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-word-problem-within-10/e/addition-word-problems-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-word-problem-within-10/v/subtraction-word-problems-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-subtract-10/v/addition-and-subtraction-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to evaluate a piecewise function (example) | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/hg2HR9zJFq4/default.jpg URL=http://www.youtube.com/watch?v=hg2HR9zJFq4 description=Sal evaluates a piecewise function at a given input. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/e/evaluating-piecewise-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/v/graphing-piecewise-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/v/piecewise-function-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to determine the domain of a modeling function | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AiW7syKXfJM/default.jpg URL=http://www.youtube.com/watch?v=AiW7syKXfJM description=Sal determines the domain of a function that models the price of candy bars. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/e/interpreting-domain?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-modeling-function-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-modeling-function-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to determine the domain of algebraic functions (examples) | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/n17q8CBiMtQ/default.jpg URL=http://www.youtube.com/watch?v=n17q8CBiMtQ description=Sal gives many examples where he determines the domains of functions according to mathematical limitations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/e/domain-of-algebraic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-modeling-function-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is the domain of a function? | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/-DTMakGDZAw/default.jpg URL=http://www.youtube.com/watch?v=-DTMakGDZAw description=Sal introduces the concept of "domain" of a function and gives various examples for functions and their domains. Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/range-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/introduction-to-interval-notation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=11 Computing with set members thumb=https://i.ytimg.com/vi/1hihcoJPzz0/default.jpg URL=http://www.youtube.com/watch?v=1hihcoJPzz0 description=More free lessons at: http://www.khanacademy.org/video?v=1hihcoJPzz0/description type=video name=14 Running distance ratio thumb=https://i.ytimg.com/vi/1Y39f7MAL5I/default.jpg URL=http://www.youtube.com/watch?v=1Y39f7MAL5I description=More free lessons at: http://www.khanacademy.org/video?v=1Y39f7MAL5I/description type=video name=6 Area of small circles thumb=https://i.ytimg.com/vi/1-AaLq7VS0s/default.jpg URL=http://www.youtube.com/watch?v=1-AaLq7VS0s description=More free lessons at: http://www.khanacademy.org/video?v=1-AaLq7VS0s/description type=video name=Example: Amplitude and period transformations | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/0zCcFSO8ouE/default.jpg URL=http://www.youtube.com/watch?v=0zCcFSO8ouE description=Understanding how the amplitude and period changes as coefficients change. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs_of_sine_and_cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/amplitude-and-period-cosine-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-graphs-of-sine-and-cosine-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=3 Letter symmetry thumb=https://i.ytimg.com/vi/0mWq45973ok/default.jpg URL=http://www.youtube.com/watch?v=0mWq45973ok description=More free lessons at: http://www.khanacademy.org/video?v=0mWq45973ok/description type=video name=Liters of soda for the party thumb=https://i.ytimg.com/vi/0ebp800ws0o/default.jpg URL=http://www.youtube.com/watch?v=0ebp800ws0o type=video name=Dependent and independent variables exercise: graphing the equation | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/0eWm-LY23W0/default.jpg URL=http://www.youtube.com/watch?v=0eWm-LY23W0 description=It's helpful to express an equation on a graph where we plot at least 2 points. Watch and we'll show you. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/e/dependent-and-independent-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/dependent-and-independent-variables-exercise-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/dependent-and-independent-variables-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=5 Triangle angle measure thumb=https://i.ytimg.com/vi/0boZOi9-U-k/default.jpg URL=http://www.youtube.com/watch?v=0boZOi9-U-k description=More free lessons at: http://www.khanacademy.org/video?v=0boZOi9-U-k/description type=video name=Ways to represent data | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/0ZKtsUkrgFQ/default.jpg URL=http://www.youtube.com/watch?v=0ZKtsUkrgFQ description=Here are a few of the many ways to look at data. Which is your favorite? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/dot-plot/e/intro-to-simple-data?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/dot-plot/v/frequency-tables-and-dot-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-polygons-in-the-coordinate-plane/v/constructing-polygon-on-coordinate-plane-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=15 Possible values for expression thumb=https://i.ytimg.com/vi/0Z63Mv8hGnU/default.jpg URL=http://www.youtube.com/watch?v=0Z63Mv8hGnU description=More free lessons at: http://www.khanacademy.org/video?v=0Z63Mv8hGnU/description type=video name=Reflecting line across another line example | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/0VARkb_n-Bs/default.jpg URL=http://www.youtube.com/watch?v=0VARkb_n-Bs description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/properties-definitions-of-translations/v/possible-transformations-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/properties-definitions-of-translations/v/rotating-segment-about-orgin-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to match function input to output given the graph (example) | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/0Rmmynff5Yc/default.jpg URL=http://www.youtube.com/watch?v=0Rmmynff5Yc description=Sal finds the input value for which g(x)=-2 given the graph of g. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/e/functions_matching_inputs_outputs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/function-inputs-and-outputs/v/different-inputs-giving-same-value-for-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/evaluating-functions/v/evaluating-a-function-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a box and whisker plot | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/09Cx7xuIXig/default.jpg URL=http://www.youtube.com/watch?v=09Cx7xuIXig description=Here's a word problem that's perfectly suited for a box and whiskers plot to help analyze data. Let's construct one together, shall we? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/e/creating_box_and_whisker_plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/v/range-and-mid-range?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/v/reading-box-and-whisker-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse of a 2x2 matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/01c12NaUQDw/default.jpg URL=http://www.youtube.com/watch?v=01c12NaUQDw description=Example of calculating the inverse of a 2x2 matrix Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_2x2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverse-matrix-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-2x2-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Preaching to the choir questions 5-9 thumb=https://i.ytimg.com/vi/-zLGiG9cILU/default.jpg URL=http://www.youtube.com/watch?v=-zLGiG9cILU description=Preaching to the choir questions 5-9/description type=video name=Curly arrow conventions in organic chemistry thumb=https://i.ytimg.com/vi/-z2yk8yxv08/default.jpg URL=http://www.youtube.com/watch?v=-z2yk8yxv08 description=More free lessons at: http://www.khanacademy.org/video?v=-z2yk8yxv08/description type=video name=Evaluating expressions with and without parentheses | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-rxUip6Ulnw/default.jpg URL=http://www.youtube.com/watch?v=-rxUip6Ulnw description=So maybe parentheses don't seem like a big deal? Check out this problem and the difference in the answer when you work it without the parentheses. Wow. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/constructing-numeric-expressions/e/expressions-with-parentheses?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/number-systems-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/constructing-numeric-expressions/v/constructing-numerical-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to convert hours to minutes and minutes to seconds | Khan Academy thumb=https://i.ytimg.com/vi/-r7JwuSdj5M/default.jpg URL=http://www.youtube.com/watch?v=-r7JwuSdj5M description=We want you to feel comfortable moving between seconds, minutes, and hours. Let's create some tables where we compare and covert these measurements of time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/e/measurement-units?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/feet-to-inches-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-sense/v/unit-sense-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=4 Solving for an angle thumb=https://i.ytimg.com/vi/-qP2831i9Rc/default.jpg URL=http://www.youtube.com/watch?v=-qP2831i9Rc description=More free lessons at: http://www.khanacademy.org/video?v=-qP2831i9Rc/description type=video name=Constructing quadrilateral based on symmetry | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/-nufZ41Kg5c/default.jpg URL=http://www.youtube.com/watch?v=-nufZ41Kg5c description=Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/reflecting-across-two-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/example-rotating-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Percentage of a whole number | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-lUEWEEpmIo/default.jpg URL=http://www.youtube.com/watch?v=-lUEWEEpmIo description=We hope you're beginning to see that there's more than one way to skin a cat. In other words, there are several different ways to solve problems involving percentages, decimals, and fractions. Watch as find the percentage of a whole number. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/rewriting-a-fraction-as-a-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/ordering-numeric-expressions_dup_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing square inscribed in circle | Geometric constructions | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/-gWtl6mdpeY/default.jpg URL=http://www.youtube.com/watch?v=-gWtl6mdpeY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/e/constructions_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/v/constructing-equilateral-triangle-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/v/constructing-an-angle-bisector-using-a-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is capital? | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/-epr8lPIZYE/default.jpg URL=http://www.youtube.com/watch?v=-epr8lPIZYE description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/two-forces-divergence?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/wealth-vs-income?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Life in traffic question 5 thumb=https://i.ytimg.com/vi/-dVl4WRZs-0/default.jpg URL=http://www.youtube.com/watch?v=-dVl4WRZs-0 description=Life in traffic question 5/description type=video name=19 Function truth thumb=https://i.ytimg.com/vi/-dADFDGte6g/default.jpg URL=http://www.youtube.com/watch?v=-dADFDGte6g description=More free lessons at: http://www.khanacademy.org/video?v=-dADFDGte6g/description type=video name=5 Equations that match constraints thumb=https://i.ytimg.com/vi/-ScrE9jd4Do/default.jpg URL=http://www.youtube.com/watch?v=-ScrE9jd4Do description=More free lessons at: http://www.khanacademy.org/video?v=-ScrE9jd4Do/description type=video name=Properties of numbers 2 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-RT52vs9tBI/default.jpg URL=http://www.youtube.com/watch?v=-RT52vs9tBI description=Simple idea that multiplying by a numbers multiplicative inverse gets you back to one Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/introduction-to-area-and-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/inverse-property-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=15 Sums of terms in a sequence thumb=https://i.ytimg.com/vi/-MYh3s__qlA/default.jpg URL=http://www.youtube.com/watch?v=-MYh3s__qlA description=More free lessons at: http://www.khanacademy.org/video?v=-MYh3s__qlA/description type=video name=Ulam Spiral Fun thumb=https://i.ytimg.com/vi/-974C_VeIL8/default.jpg URL=http://www.youtube.com/watch?v=-974C_VeIL8 description=Explanation of Sal's Ulam Sprial code/description type=video name=Missing value addition and subtraction problems with negative numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/-4bTgmmWI9k/default.jpg URL=http://www.youtube.com/watch?v=-4bTgmmWI9k description=Sal solves some missing value problems: -1 = 7 - __ and -10 + __ = -5 and 4 = -2 + __ and 6 + __ = -8 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/e/integer-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-add-and-sub-integers/v/even-more-negative-number-practice?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of Official SAT Practice | Tips & Planning | New SAT | Khan Academy thumb=https://i.ytimg.com/vi/QvLS9pP65sA/default.jpg URL=http://www.youtube.com/watch?v=QvLS9pP65sA description=Sal walks through using Official SAT Practice on KhanAcademy.org, which we built in partnership with College Board (the creators of the SAT). Watch the next lesson: https://www.khanacademy.org/test-prep/sat/new-sat-tips-planning/about-the-sat-reading-test/v/about-sat-reading-test-what-to-expect?modal=1 New SAT (starting March 2016) on Khan Academy: Practice all of the skills you’ll need for the new SAT. We also have four official practice exams from College Board. The October 2015 PSAT is in the style of the new SAT. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s New SAT channel: https://www.youtube.com/channel/UCb6Pzsn8oIFv1N8eGem570A?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to comparing fractions with different denominators | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/zRjLZROI7wc/default.jpg URL=http://www.youtube.com/watch?v=zRjLZROI7wc description=Examples comparing fractions with different denominators. Key idea: we need to find common denominators. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions/e/comparing_fractions_2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions/v/comparing-fractions-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-comparing-fractions-visually/v/comparing-fractions-visually-with-pies?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=1945 - End of World War II | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/U6RFAUmYU5o/default.jpg URL=http://www.youtube.com/watch?v=U6RFAUmYU5o description=1945 marks the end of World War II. V-E Day (Victory in Europe Day) is May 8th 1945. War doesn't end in the Pacific until August of 1945 with the atomic bombing of Hiroshima and Nagasaki. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/communism?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1944-allies-advance-further-in-europe?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=1944 - Allies advance further in Europe | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/0UgQ0B_0hAg/default.jpg URL=http://www.youtube.com/watch?v=0UgQ0B_0hAg description=As we go into 1944, we see the allies land at Normandy, liberate France and face Germany in their last major counteroffensive at the Battle of the Bulge. On the Eastern Front, the Soviets end Siege of Leningrad and begin to push through Poland and Romania. In the south, Allies land in southern France and take Rome. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1945-end-of-world-war-ii?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/american-progress-in-the-pacific-in-1944?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=1943 Axis losing in Europe | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/x9g82IA-IEU/default.jpg URL=http://www.youtube.com/watch?v=x9g82IA-IEU description=In 1943, the tide really turns in favor of the Allies in World War II. They are able to push the Axis out of N.Africa and force a surrender from Italy (along with Mussolini being deposed). The Soviets are able to start pushing the Axis out of the Soviet Union. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/american-progress-in-the-pacific-in-1944?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1942-tide-turning-in-world-war-ii-in-europe?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=American progress in the Pacific in 1944 | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/-6XBnjFrWBg/default.jpg URL=http://www.youtube.com/watch?v=-6XBnjFrWBg description=In 1944, the Americans (and Allies) make even more progress in the Pacific. By the end of the year, they have taken positions that put them within bombing range of Japan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1944-allies-advance-further-in-europe?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1943-axis-losing-in-europe?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=1942 Tide turning in World War II in Europe | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/FqGLqdk9Sr0/default.jpg URL=http://www.youtube.com/watch?v=FqGLqdk9Sr0 description=In 1942 we see the Axis get pushed back in North Africa and get bogged down in the Soviet Union. The tide of war turns in favor of the Allies. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1943-axis-losing-in-europe?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/world-war-ii-in-the-pacific-in-1942?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=World War II in the Pacific in 1942 | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/CBHfoQsF2Y4/default.jpg URL=http://www.youtube.com/watch?v=CBHfoQsF2Y4 description=In 1942, the United States begins to fully engage against the Japanese and go on the offensive. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1942-tide-turning-in-world-war-ii-in-europe?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1941-axis-momentum-accelerates-in-ww2?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=1941 Axis momentum accelerates in WW2 | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/X3bqQI7-sCg/default.jpg URL=http://www.youtube.com/watch?v=X3bqQI7-sCg description=In 1941, the Axis gains further momentum with control of most of Continential Europe. Hitler decides to break pact and invade Stalin's Soviet Union. United States enters World War II after Japanese attack on Pearl Harbor. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/world-war-ii-in-the-pacific-in-1942?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1940-axis-gains-momentum-in-world-war-ii?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=1940 - Axis gains momentum in World War II | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/Toss6Hzf5n0/default.jpg URL=http://www.youtube.com/watch?v=Toss6Hzf5n0 description=In this second video giving an overview of World War II, we see Germany and the Axis powers only continue to gain momentum in 1940. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1941-axis-momentum-accelerates-in-ww2?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/beginning-of-world-war-ii?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Beginning of World War II | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/-kKCjwNvNkQ/default.jpg URL=http://www.youtube.com/watch?v=-kKCjwNvNkQ description=An overview of the run up to and very beginnings of World War II. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1940-axis-gains-momentum-in-world-war-ii?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/china-early-1900s/v/overview-of-chinese-history-1911-1949?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interview with Colin Fuller thumb=https://i.ytimg.com/vi/EDKaRM7jyKA/default.jpg URL=http://www.youtube.com/watch?v=EDKaRM7jyKA description=Collin Fuller talks about being a Data Scientist at Khan Academy./description type=video name=Interview with Natalie Rothfels thumb=https://i.ytimg.com/vi/3Gcwxb1WTNg/default.jpg URL=http://www.youtube.com/watch?v=3Gcwxb1WTNg description=Natalie Rothfels talk about her role in bringing Khan Academy to the world./description type=video name=Adding mixed numbers introduction | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/pxX07gUbIQQ/default.jpg URL=http://www.youtube.com/watch?v=pxX07gUbIQQ description=Learn how to add mixed numbers that already have like denominators (common denominators). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-mixed-numbers/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-mixed-numbers/v/subtracting-mixed-numbers-with-like-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mixed-numbers/v/changing-an-improper-fraction-to-a-mixed-number?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interview with Alex Lopatin thumb=https://i.ytimg.com/vi/HqnARLhv-hM/default.jpg URL=http://www.youtube.com/watch?v=HqnARLhv-hM description=Alex Lopatin describes being a software engineer at Khan Academy./description type=video name=Subtracting mixed numbers introduction | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/zm3TXDZrifU/default.jpg URL=http://www.youtube.com/watch?v=zm3TXDZrifU description=Learn how to subtract mixed numbers that already have like denominators (common denominators). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-mixed-numbers/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-mult-unit-frac/v/multiplying-fractions-and-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-mixed-numbers/v/adding-mixed-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interview with Yin Lu thumb=https://i.ytimg.com/vi/5gbHbUVxoyM/default.jpg URL=http://www.youtube.com/watch?v=5gbHbUVxoyM description=Yin Lu describes her role as head of international market development at Khan Academy./description type=video name=Interview with James Tynan thumb=https://i.ytimg.com/vi/kK8tB7UHJa4/default.jpg URL=http://www.youtube.com/watch?v=kK8tB7UHJa4 description=James Tynan describes his role as Adoption Lead at Khan Academy./description type=video name=Interview with Chris Klaiber thumb=https://i.ytimg.com/vi/ZK5xa3M9EHo/default.jpg URL=http://www.youtube.com/watch?v=ZK5xa3M9EHo description=Chris describes being a software engineer at Khan Academy./description type=video name=Interview with Emily Eisenberg thumb=https://i.ytimg.com/vi/UVbjMIRZW3A/default.jpg URL=http://www.youtube.com/watch?v=UVbjMIRZW3A description=Emily describes what it's like to be a Software Engineer at Khan Academy./description type=video name=Phases of meiosis II | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/mMCcBsSAlF4/default.jpg URL=http://www.youtube.com/watch?v=mMCcBsSAlF4 description=How sister chromatids separate to form gametes. Prophase II, metaphase II, anaphase II, telophase II. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/embryonic-stem-cells?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/phases-of-meiosis-i?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Phases of meiosis I | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/XGWL9jfPHJ8/default.jpg URL=http://www.youtube.com/watch?v=XGWL9jfPHJ8 description=How homologous chromosomes separate into two sets. Prophase I, metaphase I, anaphase I, and telophase I. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/phases-of-meiosis-ii?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/comparing-mitosis-and-meiosis?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chromosomal crossover in Meiosis I thumb=https://i.ytimg.com/vi/04gQ0bQu6xk/default.jpg URL=http://www.youtube.com/watch?v=04gQ0bQu6xk description=Chromosomal crossover in Meiosis I/description type=video name=Comparing mitosis and meiosis | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/IQJ4DBkCnco/default.jpg URL=http://www.youtube.com/watch?v=IQJ4DBkCnco description=Comparison of the processes of mitosis and meiosis. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/phases-of-meiosis-i?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/mitosis?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interview with Ben Eater thumb=https://i.ytimg.com/vi/MAtQe5zpNsw/default.jpg URL=http://www.youtube.com/watch?v=MAtQe5zpNsw description=Ben Eater talks about his role as Engineering Manager and his educational experiences./description type=video name=Interview with Dylan Vassallo thumb=https://i.ytimg.com/vi/x7HPG3nqv7U/default.jpg URL=http://www.youtube.com/watch?v=x7HPG3nqv7U description=Interview with software engineer Dylan Vassallo/description type=video name=Mitosis | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/TKGcfbyFXsw/default.jpg URL=http://www.youtube.com/watch?v=TKGcfbyFXsw description=Mitosis is how cells divide! Learn what happens in all the phases of mitosis: prophase, metaphase, anaphase, and telophase. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/comparing-mitosis-and-meiosis?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/interphase?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interphase | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/VXLSTd_dlKg/default.jpg URL=http://www.youtube.com/watch?v=VXLSTd_dlKg description=Interphase of the cell cycle, including G₁, S, and G₂ phases. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/mitosis?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/somatic-germ-cells?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interview with David Hu thumb=https://i.ytimg.com/vi/kCWDf4jRKS8/default.jpg URL=http://www.youtube.com/watch?v=kCWDf4jRKS8 description=David Hu explains his role as a software engineer at Khan Academy./description type=video name=Interview with Emily Abrash thumb=https://i.ytimg.com/vi/ZmUiwCWVhpA/default.jpg URL=http://www.youtube.com/watch?v=ZmUiwCWVhpA description=Emily Abrash describes her role at Biology Content Fellow at Khan Academy./description type=video name=Interview with Murrayl Berner thumb=https://i.ytimg.com/vi/DwdPr27P5YY/default.jpg URL=http://www.youtube.com/watch?v=DwdPr27P5YY description=Murrayl Berner talks about her role as part of Khan Academy's Adoption Team./description type=video name=Interview with Nick Louie thumb=https://i.ytimg.com/vi/TY0fkXOD3qU/default.jpg URL=http://www.youtube.com/watch?v=TY0fkXOD3qU description=Nick Louie talks about his role as finance assistant at Khan Academy./description type=video name=Interview with Tom Pryor thumb=https://i.ytimg.com/vi/Wu-dbmnwudk/default.jpg URL=http://www.youtube.com/watch?v=Wu-dbmnwudk description=Tom Pryor talks about his role as a product manager and how and why he joined Khan Academy./description type=video name=Interview with Karina Murtagh thumb=https://i.ytimg.com/vi/-2K-vDHc53Q/default.jpg URL=http://www.youtube.com/watch?v=-2K-vDHc53Q description=Karina Murtagh talks about her role as an office manager and why she joined Khan Academy./description type=video name=Comparing irrational numbers involving radicals | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/KibTbfkoPTs/default.jpg URL=http://www.youtube.com/watch?v=KibTbfkoPTs description=Learn how to sort a bunch of numbers (4√2 2√3 3√2 √17 3√3 5) from least to greatest without using a calculator. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/e/approximating-irrational-numbers-without-a-calculator?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/approximating-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/approximating-square-roots-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to classify numbers | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/-QHff5pRdM8/default.jpg URL=http://www.youtube.com/watch?v=-QHff5pRdM8 description=Learn how to classify numbers as whole numbers, integers, rational numbers, and irrational numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/e/identifying-whole--integer--and-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/approximating-square-roots-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/recognizing-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to approximate square roots | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/Lh7NMBPFVZw/default.jpg URL=http://www.youtube.com/watch?v=Lh7NMBPFVZw description=Learn how to find the approximate values of square roots. The examples used in this video are √32, √55, and √123. The technique used is to compare the squares of whole numbers to the number we're taking the square root of. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/e/square_roots_2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-approximating-irrational-numbers/v/sorting-irrational-numbers-involving-radicals?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/categorizing-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dimensions of a cube from its volume | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/GpOxsRF1Cjc/default.jpg URL=http://www.youtube.com/watch?v=GpOxsRF1Cjc description=Learn how to find the side length of a cube whose volume is 512 cubic centimeters. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/e/more-square-and-cube-root-problems?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/v/introduction-to-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/finding-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Square root of decimal (example) | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/tRHLEWSUjrQ/default.jpg URL=http://www.youtube.com/watch?v=tRHLEWSUjrQ description=Learn how to find the square root of a decimal number. The problem solved in this video is p^2 = 0.81. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/e/roots-of-decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/finding-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/introduction-to-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to cube roots | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/87_qIofPwhg/default.jpg URL=http://www.youtube.com/watch?v=87_qIofPwhg description=Learn the meaning of cube roots and how to find them. Also learn how to find the cube root of a negative number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/e/cube_roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/finding-square-root-of-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/introduction-to-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to square roots | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/mbc3_e5lWw0/default.jpg URL=http://www.youtube.com/watch?v=mbc3_e5lWw0 description=Learn about the square root symbol (the principal root) and what it means to find a square root. Also learn how to solve simple square root equations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/e/square_roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/v/introduction-to-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/v/coverting-repeating-decimals-to-fractions-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Standard form for linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/6CFE60iP2Ug/default.jpg URL=http://www.youtube.com/watch?v=6CFE60iP2Ug description=Standard form for linear equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/e/graph-from-standard-form-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/v/standard-form-to-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/point-slope/v/point-slope-and-slope-intercept-form-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Point-slope and slope-intercept form from two points | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/LtpXvUCrgrM/default.jpg URL=http://www.youtube.com/watch?v=LtpXvUCrgrM description=Point-slope and slope-intercept form from two points Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/point-slope/e/converting_between_point_slope_and_slope_intercept?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/v/standard-form-for-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/point-slope/v/idea-behind-point-slope-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope-intercept form | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/IL3UCuXrUzE/default.jpg URL=http://www.youtube.com/watch?v=IL3UCuXrUzE description=Slope-intercept form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/e/slope-from-an-equation-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/graphing-a-line-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to intercepts | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/LNSB0N6esPU/default.jpg URL=http://www.youtube.com/watch?v=LNSB0N6esPU description=Learn what x- and y-intercepts are. The equations used in this video are y = 0.5x - 3 and 5x + 6y = 30. Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/finding-x-intercept-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/graphing-solutions-to-2-variable-linear-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to slope | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/MeU-KzdCBps/default.jpg URL=http://www.youtube.com/watch?v=MeU-KzdCBps description=Introduction to slope Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/positive-and-negative-slope?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/x-and-y-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting in scientific notation | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/ios3QL9t9LQ/default.jpg URL=http://www.youtube.com/watch?v=ios3QL9t9LQ description=Learn how to subtract numbers written in scientific notation. The problem solved in this video is (4.1 * 10^-2) - (2.6 * 10^-3). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/e/adding-and-subtracting-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/v/simplifying-a-complicated-expression-into-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-scientific-notation-compu/v/multiplying-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cheryl's birthday | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/S5LEdJfCsHM/default.jpg URL=http://www.youtube.com/watch?v=S5LEdJfCsHM description=Deductive reasoning problem from Singapore. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/finding-heavier-ball?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/grant-sanderson/circle-division-problem/v/eulers-formula-and-graph-duality?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Semiconductor introduction thumb=https://i.ytimg.com/vi/60Qz051rD_w/default.jpg URL=http://www.youtube.com/watch?v=60Qz051rD_w description=How N-type and P-type semiconductors are made of silicon doped with phosphorous or boron./description type=video name=Liter intuition | Measurement and geometry | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/mLRYCaYVWFc/default.jpg URL=http://www.youtube.com/watch?v=mLRYCaYVWFc description=What is the volume of a jar of milk? How about a spoon? A swimming pool? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/e/volume-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/arithmetic-word-problems-with-volume?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-mass-volume/v/mass-problems?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Describing subsets of sample spaces exercise | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/0uHhk7P9SNo/default.jpg URL=http://www.youtube.com/watch?v=0uHhk7P9SNo description=In this example, determine the scenarios that are probable given the rolling of two dice. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/e/describing-subsets-of-sample-spaces?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/simple-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/probability-space-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector components from initial and terminal points | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/-0qEDcZZS9E/default.jpg URL=http://www.youtube.com/watch?v=-0qEDcZZS9E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/e/components_of_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/v/figuring-out-vector-initial-point?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/v/adding-vectors-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out vector initial point | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/AXG1OEbqV3Q/default.jpg URL=http://www.youtube.com/watch?v=AXG1OEbqV3Q description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/e/components_of_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/unit-vector-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/v/vector-components-from-initial-and-terminal-points?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a tangent line using compass and straightedge | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/n5cKWjZqpIE/default.jpg URL=http://www.youtube.com/watch?v=n5cKWjZqpIE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/constructing-tangents/e/constructions_3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/constructing-tangents/v/another-example-using-compass-and-straightedge-for-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/circum-in-circles/v/constructing-circumscribing-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another example using compass and straightedge for tangent line | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/g_dStt4st2I/default.jpg URL=http://www.youtube.com/watch?v=g_dStt4st2I description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/constructing-tangents/e/constructions_3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/interesting-perimeter-and-area-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/constructing-tangents/v/constructing-a-tangent-line-using-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Showing angles have same measure | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/2SOK_IrpHeQ/default.jpg URL=http://www.youtube.com/watch?v=2SOK_IrpHeQ description=Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/line-and-angle-proofs-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/ca-geometry-deducing-angle-measures?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Line and angle proofs exercise | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/uYXhga17q1g/default.jpg URL=http://www.youtube.com/watch?v=uYXhga17q1g description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/line-and-angle-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/showing-angles-have-same-measure?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ways to cut a cube | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/aSokFEpoJFM/default.jpg URL=http://www.youtube.com/watch?v=aSokFEpoJFM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/e/cross-sections-of-3d-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/v/rotating-2d-shapes-in-3d?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/v/vertical-slice-of-rectangular-pyramid?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geometric precision practice | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/iDQ1foxYf0o/default.jpg URL=http://www.youtube.com/watch?v=iDQ1foxYf0o description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/geometric-definitions?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/language-and-notation-of-the-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/specifying-planes-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing polynomial manipulations | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/-6qiO49Q180/default.jpg URL=http://www.youtube.com/watch?v=-6qiO49Q180 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/polynomial-identities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/polynomial-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/factoring-and-completing-square-of-higher-degree-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ellipse focus intuition exercise | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/cJnNMT-F-BI/default.jpg URL=http://www.youtube.com/watch?v=cJnNMT-F-BI description=Ellipse focus intuition exercise Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/e/ellipse_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/parabola-intuition-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/v/foci-of-an-ellipse?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring and completing square of higher degree expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/67YpFYOmmQo/default.jpg URL=http://www.youtube.com/watch?v=67YpFYOmmQo description=Factoring and completing square of higher degree expressions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/equivalent-forms-of-polynomial-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/analyzing-polynomial-manipulations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/multiplying-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding function inverses example | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/KPeS2gdizhQ/default.jpg URL=http://www.youtube.com/watch?v=KPeS2gdizhQ description=Understanding function inverses example Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/what-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/understanding-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding inverse functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/KzaPBzFFLRM/default.jpg URL=http://www.youtube.com/watch?v=KzaPBzFFLRM description=Understanding inverse functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/understanding-function-inverses-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/function-inverses-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Product rule proof | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/L5ErlC0COxI/default.jpg URL=http://www.youtube.com/watch?v=L5ErlC0COxI description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/using-the-product-rule-and-the-chain-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing piecewise function | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/PQiXRrT_14o/default.jpg URL=http://www.youtube.com/watch?v=PQiXRrT_14o description=Graphing piecewise function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/e/piecewise-graphs-linear?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/matching-expressions-to-define-intervals-of-functions-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/piecewise-function-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Piecewise function formula from graph | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/tedzsRH0Jas/default.jpg URL=http://www.youtube.com/watch?v=tedzsRH0Jas description=Piecewise function example Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/graphing-piecewise-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/absolute-value-graphing-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Restricting domain of function to make invertible thumb=https://i.ytimg.com/vi/c6ACItS5Byc/default.jpg URL=http://www.youtube.com/watch?v=c6ACItS5Byc description=Restricting domain of function to make invertible/description type=video name=Writing expressions with exponents thumb=https://i.ytimg.com/vi/wmw91D-0gVA/default.jpg URL=http://www.youtube.com/watch?v=wmw91D-0gVA description=Writing expressions with exponents/description type=video name=Simplifying an exponential expression | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Y6wNiYcuCoE/default.jpg URL=http://www.youtube.com/watch?v=Y6wNiYcuCoE description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/rewriting-an-exponential-expression-in-a-hairier-way?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/linear-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling mosquitos with quadratics | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/fW1u-OFbA1M/default.jpg URL=http://www.youtube.com/watch?v=fW1u-OFbA1M description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/e/key-features-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphing-a-quadratic-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/v/rewriting-a-quadratic-function-to-find-roots-and-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rewriting an exponential expression in a hairier way | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/vSijVSL3ChU/default.jpg URL=http://www.youtube.com/watch?v=vSijVSL3ChU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/e/equivalent-forms-of-expressions-with-variable-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/comparing-exponentials-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/simplifying-an-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the area of a triangle on a grid | Geometry | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/ukPjc3Oyad4/default.jpg URL=http://www.youtube.com/watch?v=ukPjc3Oyad4 description=Learn how to calculate the area of a triangle on a grid. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area-shapes-grid/e/area-of-triangles-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area-shapes-grid/v/area-of-strange-quadrilateral?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-dependent-independent/v/dependent-and-independent-variables-exercise-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Translating expressions with parentheses | Algebric thinking | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/ypxHVqE26gI/default.jpg URL=http://www.youtube.com/watch?v=ypxHVqE26gI description=Interpret written statements, and write them as mathematical expressions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking/cc-5th-writing-expressions-tut/e/translating-expressions-with-parentheses?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking/cc-5th-number-patterns/v/relationships-between-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-algebraic-thinking/cc-5th-writing-expressions-tut/v/evaluating-an-expression-with-and-without-parentheses?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More ways to think about multiplying | Multiplication and division | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/NWJinKmWzx8/default.jpg URL=http://www.youtube.com/watch?v=NWJinKmWzx8 description=When multiplying, it can be helpful to break numbers into parts. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/e/multiplication-with-place-value-understanding?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/v/multiplying-2-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/v/4-digit-times-1-digit-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area models to visualize division using place value | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/FKJjqEdfB9Y/default.jpg URL=http://www.youtube.com/watch?v=FKJjqEdfB9Y description=We can break up big division problems into smaller, easier problems. In this video, we solve 268 divided by 2 and 856 divided by 8. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/e/multi-digit-division-with-visual-models?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-remainders/v/introduction-to-remainders?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/division-using-understanding-of-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Division using understanding of place value | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/xUjRwepN7dk/default.jpg URL=http://www.youtube.com/watch?v=xUjRwepN7dk description=Make division problems easier by thinking about place value and using the distributive property. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/e/division-using-place-value-understanding?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/area-models-to-visualize-division-using-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-division/v/dividing-3-digit-by-1-digit-without-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to trigonometric substitution thumb=https://i.ytimg.com/vi/EV5dhv0A2wU/default.jpg URL=http://www.youtube.com/watch?v=EV5dhv0A2wU description=Introduction to trigonometric substitution/description type=video name=Conditional & absolute convergence | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/ORTI4kk1okM/default.jpg URL=http://www.youtube.com/watch?v=ORTI4kk1okM description="Absolute convergence" means a series will converge even when you take the absolute value of each term, while "Conditional convergence" means the series converges but not absolutely. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/e/alternating-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/worked-example-alternating-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/alternating-series-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Infinite series as limit of partial sums | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/bh1UrCGWz1k/default.jpg URL=http://www.youtube.com/watch?v=bh1UrCGWz1k description=Infinite series are defined as the limit of the infinite sequence of partial sums. Since we already know how to work with limits of sequences, this definition is really useful. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/e/convergence-and-divergence-of-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/v/evaluating-infinite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/finding-term-value-from-sum-formula?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial sums intro | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/k9MEOgcc5KY/default.jpg URL=http://www.youtube.com/watch?v=k9MEOgcc5KY description=The partial sum of an infinite series as the sum of the first few terms (and hence it's only partial). This seemingly simple concept is very useful in thinking about infinite series. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/e/convergence-and-divergence-of-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-partial-sums/v/term-from-partial-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/convergent-and-divergent-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Differentiability implies continuity | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/eytyVWA5ZQs/default.jpg URL=http://www.youtube.com/watch?v=eytyVWA5ZQs description=Sal shows that if a function is differentiable at a point, it is also continuous at that point. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/change-in-continuous-function-approaches-0?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/product-rule-proof?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chain rule proof | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/FKraGDm2fUY/default.jpg URL=http://www.youtube.com/watch?v=FKraGDm2fUY description=Here we use the formal properties of continuity and differentiability to see why the chain rule is true. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/quotient-rule-from-product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/change-in-continuous-function-approaches-0?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=If function u is continuous at x, then _u_0 as _x_0 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/l6T4RhlgkG0/default.jpg URL=http://www.youtube.com/watch?v=l6T4RhlgkG0 description=Sal shows that if a function is continuous, the difference in the function's values approaches 0 as the difference in the x-values approaches 0. This is simply another way to define continuity. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/chain-rule-proof?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/differentiability-implies-continuity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability from compound sample space | Statistics and probability | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/6zWPgvEMVlE/default.jpg URL=http://www.youtube.com/watch?v=6zWPgvEMVlE description=Learn how to use sample space diagrams to find probabilities. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/e/compound-events?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/counting-pot-and-flower-scenarios?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/probability-space-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound sample spaces | Statistics and probability | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/PR-A3UAO7_0/default.jpg URL=http://www.youtube.com/watch?v=PR-A3UAO7_0 description=Explore the notion of a "sample space". See a sample space represented as a tree diagram, table, and list. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/e/sample-spaces-for-compound-events?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/events-and-outcomes-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/tree-diagram-to-count-outcomes?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing probability model from observations | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/BIpsQIJUCC8/default.jpg URL=http://www.youtube.com/watch?v=BIpsQIJUCC8 description=Model the probability of a frozen yogurt line having 0, 1, or 2 people in it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/e/probability-models?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/compound-sample-spaces?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/making-predictions-with-probability?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing theoretical to experimental probabilites | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/tXlcE_K_C-Y/default.jpg URL=http://www.youtube.com/watch?v=tXlcE_K_C-Y description=Compare expected probabilities to what really happens when we run experiments. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/e/using-probability-to-make-predictions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/making-predictions-with-probability?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob/v/intuitive-sense-of-probabilities?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Making predictions with probability | Statistics and probability | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/8bK-xfh8-rY/default.jpg URL=http://www.youtube.com/watch?v=8bK-xfh8-rY description=Predict the number of times a spinner will land on an elephant. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/e/using-probability-to-make-predictions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/constructing-probability-model-from-observations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuitive sense of probabilities | Statistics and probability | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/KFgvOQtH0Z0/default.jpg URL=http://www.youtube.com/watch?v=KFgvOQtH0Z0 description=Think about what probabilities really mean. What does a probability of 0 mean? How about 1? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob/e/understanding-probability?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob/v/experimental-probability?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Experimental probability | Statistics and probability | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/RdehfQJ8i_0/default.jpg URL=http://www.youtube.com/watch?v=RdehfQJ8i_0 description=Based on past experience, we can make reasonable estimates of the likelihood of future events. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob/e/finding-probability?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob/v/intuitive-sense-of-probabilities?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-basic-prob/v/probability-1-module-examples?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thinking about shapes of distributions | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/2oJldeE4JcU/default.jpg URL=http://www.youtube.com/watch?v=2oJldeE4JcU description=Some distributions are symmetrical, with data evenly distributed about the mean. Other distributions are "skewed," with data tending to the left or right of the mean. We sometimes say that skewed distributions have "tails." Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-shape-of-data/e/shape-of-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-shape-of-data/v/examples-analyzing-clusters-gaps-peaks-and-outliers-for-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-7th-compare-data-displays/v/comparing-dot-plots-histograms-and-box-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting box plots | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/oBREri10ZHk/default.jpg URL=http://www.youtube.com/watch?v=oBREri10ZHk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/e/interpreting-quartiles-on-box-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/another-example-constructing-box-plot?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mean absolute deviation example | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/DPuK6ZgBGmE/default.jpg URL=http://www.youtube.com/watch?v=DPuK6ZgBGmE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/e/calculating-the-mean-absolute-deviation--mad-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-7th-compare-data-displays/v/comparing-dot-plots-histograms-and-box-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mean absolute deviation | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/GdIkEngwGNU/default.jpg URL=http://www.youtube.com/watch?v=GdIkEngwGNU description=MAD (mean absolute deviation) helps you get a sense of how "spread out" a data set is. Learn how to compute MAD in this video. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/e/calculating-the-mean-absolute-deviation--mad-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Median and range puzzle | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/0cHCpgQD_8k/default.jpg URL=http://www.youtube.com/watch?v=0cHCpgQD_8k description=Sal solves an interesting median and range challenge problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/e/median-and-range-puzzlers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/v/impact-on-median-and-mean-when-removing-lowest-value-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/v/using-mean-to-find-missing-value?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find a missing value given the mean | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/qpbaglogObM/default.jpg URL=http://www.youtube.com/watch?v=qpbaglogObM description=Learn how to find the value of a missing piece of data if you know the mean of the data set. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/e/find-a-missing-value-given-the-mean?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-mean-median-challenge/v/median-and-range-puzzle?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/mean-median-and-mode?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to interpret a histogram | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/c02vjunQsJM/default.jpg URL=http://www.youtube.com/watch?v=c02vjunQsJM description=Learn how to read histograms, which summarize data by sorting it into buckets. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/e/creating-histograms?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/statistics-intro-mean-median-and-mode?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/v/histograms-intro?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to create a histogram | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/gSEYtAjuZ-Y/default.jpg URL=http://www.youtube.com/watch?v=gSEYtAjuZ-Y description=Learn how to create histograms, which summarize data by sorting it into buckets. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/e/creating-histograms?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/v/interpreting-histograms?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-statistical-questions/v/understanding-statistical-questions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistical questions | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/OjzfQDFf7Uk/default.jpg URL=http://www.youtube.com/watch?v=OjzfQDFf7Uk description=What makes a question a "statistical question"? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-statistical-questions/e/statistical-questions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/v/histograms-intro?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/dot-plot/v/frequency-tables-and-dot-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Frequency tables and dot plots | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/gdE46YSedvE/default.jpg URL=http://www.youtube.com/watch?v=gdE46YSedvE description=In this video, we organize data into frequency tables and dot plots (sometimes called line plots). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/dot-plot/e/creating-frequency-tables?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-statistical-questions/v/understanding-statistical-questions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/dot-plot/v/ways-to-represent-data?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Values to make absolute value inequality true | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/fii9QEVJPas/default.jpg URL=http://www.youtube.com/watch?v=fii9QEVJPas description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/e/comparing-absolute-values-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/interpreting-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/comparing-absolute-values-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing absolute values on number line | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/29P6bar7nHc/default.jpg URL=http://www.youtube.com/watch?v=29P6bar7nHc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/e/comparing-absolute-values-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/values-to-make-absolute-value-inequality-true?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/sorting-absolute-values-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sorting absolute values on number line | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/MFoXK57sw9k/default.jpg URL=http://www.youtube.com/watch?v=MFoXK57sw9k description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/e/comparing-absolute-values-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/comparing-absolute-values-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/comparing-absolute-values?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting absolute value | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/faUh3bAxomM/default.jpg URL=http://www.youtube.com/watch?v=faUh3bAxomM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/e/absolute-value-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/values-to-make-absolute-value-inequality-true?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ordering rational numbers | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/i1i2_9wg6N8/default.jpg URL=http://www.youtube.com/watch?v=i1i2_9wg6N8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-comparing-negative-numbers/e/ordering-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-comparing-negative-numbers/v/comparing-negatives-with-variables?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-comparing-negative-numbers/v/ordering-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing negatives with variables | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/kQkeayQke8A/default.jpg URL=http://www.youtube.com/watch?v=kQkeayQke8A description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-comparing-negative-numbers/e/understanding-inequalities-and-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-absolute-value/v/absolute-value-of-integers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-comparing-negative-numbers/v/ordering-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deflate gate | Gases and kinetic molecular theory | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/G2JdRB3bdFM/default.jpg URL=http://www.youtube.com/watch?v=G2JdRB3bdFM description=Using the ideal gas equation to calculate the change in air pressure in a football at different temperatures. Watch the next lesson: https://www.khanacademy.org/science/chemistry/gases-and-kinetic-molecular-theory/ideal-gas-laws/v/ideal-gas-equation-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/gases-and-kinetic-molecular-theory/ideal-gas-laws/v/ideal-gas-equation-pv-nrt?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative symbol as opposite | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/3-aryZYsoxU/default.jpg URL=http://www.youtube.com/watch?v=3-aryZYsoxU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-number-opposites/e/opposites-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-number-opposites/v/number-opposites-practice?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-number-opposites/v/opposite-of-a-number?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number opposites practice | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/vRa6XxykfbY/default.jpg URL=http://www.youtube.com/watch?v=vRa6XxykfbY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-number-opposites/e/opposites-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-comparing-negative-numbers/v/ordering-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-number-opposites/v/negative-symbol-as-opposite?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Opposite of a number | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/2Zk6u7Uk5ow/default.jpg URL=http://www.youtube.com/watch?v=2Zk6u7Uk5ow description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-number-opposites/e/number-opposites?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-number-opposites/v/negative-symbol-as-opposite?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-neg-dec-frac-number-line/v/number-line-3-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Idea behind hypothesis testing | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/dpGmVV0-4jc/default.jpg URL=http://www.youtube.com/watch?v=dpGmVV0-4jc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/e/hypothesis-testing-with-simulations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/v/probability-decisions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/v/simple-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding focus and directrix from vertex | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/w56Vuf9tHfA/default.jpg URL=http://www.youtube.com/watch?v=w56Vuf9tHfA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/e/parabola_intuition_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/conic-sections-intro-to-hyperbolas?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/equation-for-parabola-from-focus-and-directrix?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equation for parabola from focus and directrix | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/okXVhDMuGFg/default.jpg URL=http://www.youtube.com/watch?v=okXVhDMuGFg description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/finding-focus-and-directrix-from-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/using-the-focus-and-directrix-to-find-the-equation-of-a-parabola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Focus and directrix introduction | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/pe8Dm_FUpdU/default.jpg URL=http://www.youtube.com/watch?v=pe8Dm_FUpdU description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/using-the-focus-and-directrix-to-find-the-equation-of-a-parabola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/parabola-intuition-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to line plots | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/AtiOjlyOQf4/default.jpg URL=http://www.youtube.com/watch?v=AtiOjlyOQf4 description=Create a line plot from a set of data. Use the line plot to answer questions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-line-plots/e/solving-problems-with-line-plots-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-line-plots/v/making-line-plots?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-bar-graphs/v/solving-problems-with-bar-graphs-2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Mortgage Loans | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/y-1Gh4ewklY/default.jpg URL=http://www.youtube.com/watch?v=y-1Gh4ewklY description=Introduction to mortgage loans. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/mortgage-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-vs-buying-detailed-analysis?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition with regrouping | Addition and subtraction within 100 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/8mcTsyV56jI/default.jpg URL=http://www.youtube.com/watch?v=8mcTsyV56jI description=Learn to add 35 + 27 thinking about place value. This example requires regrouping. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-subtract-100/e/addition_3?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-making-groups-of-ten/v/addition-using-groups-of-10-intro?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-subtract-100/v/adding-two-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visual understanding of regrouping thumb=https://i.ytimg.com/vi/AxwkJtvVaZk/default.jpg URL=http://www.youtube.com/watch?v=AxwkJtvVaZk description=Visual understanding of regrouping/description type=video name=Subtracting two digit numbers without regrouping | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/slIX9EDcHgE/default.jpg URL=http://www.youtube.com/watch?v=slIX9EDcHgE description=Learn how to subtract 23 from 65 by thinking about tens and ones. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/e/subtraction_3?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/v/introduction-to-regrouping-borrowing?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-sub-ones-tens/v/subtract-tens-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting with regrouping (borrowing) | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/egjDLFX9VHg/default.jpg URL=http://www.youtube.com/watch?v=egjDLFX9VHg description=Learn how to subtract 23 from 65 by thinking about tens and ones. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/e/subtraction_3?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/cc-early-math-add-sub-100-word-problems/v/adding-and-subtracting-on-number-line-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/v/subtracting-2-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ionization energy trends | Periodic table | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/5CBs36jtZxY/default.jpg URL=http://www.youtube.com/watch?v=5CBs36jtZxY description=Definition of ion and ionization energy, and trends in ionization energy across a period and down a group. Watch the next lesson: https://www.khanacademy.org/science/chemistry/periodic-table/periodic-table-trends-bonding/v/group-trend-for-ionization-energy?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/periodic-table/periodic-table-trends-bonding/v/mini-video-on-ion-size?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using Khan Academy thumb=https://i.ytimg.com/vi/hopq0lq-qu4/default.jpg URL=http://www.youtube.com/watch?v=hopq0lq-qu4 description=A primer on how to use Khan Academy/description type=video name=Coulomb's Law | Electrostatics | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/2GQTfpDE9DQ/default.jpg URL=http://www.youtube.com/watch?v=2GQTfpDE9DQ description=Sal explains the fundamental force that causes charged particles to attract or repel each other. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics/ee-fields-potential-voltage/v/proof-advanced-field-from-infinite-plate-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/ee-dc-circuit-analysis/v/ee-node-voltage-method-step-5?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triboelectric effect and charge | Physics | Khan Academy thumb=https://i.ytimg.com/vi/IDQYakHRAG8/default.jpg URL=http://www.youtube.com/watch?v=IDQYakHRAG8 description=Learn the physics behind why a balloon clings to things after you rub it on a sweater. Watch the next lesson: https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/charge-electric-force/v/coulombs-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/carnot-efficiency-3-proving-that-it-is-the-most-efficient?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alleles and genes thumb=https://i.ytimg.com/vi/P0nMnPPdW_k/default.jpg URL=http://www.youtube.com/watch?v=P0nMnPPdW_k description=Alleles and genes/description type=video name=DNA replication and RNA transcription and translation | Khan Academy thumb=https://i.ytimg.com/vi/6gUY5NoX1Lk/default.jpg URL=http://www.youtube.com/watch?v=6gUY5NoX1Lk description=Watch the next lesson: https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/molecular-structure-of-dna?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/macromolecules/nucleic-acids/v/dna-deoxyribonucleic-acid?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=DNA | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/AmOO4j0E408/default.jpg URL=http://www.youtube.com/watch?v=AmOO4j0E408 description=Learn about DNA (deoxyribonucleic acid). Overview of DNA bases, complementary base pairing, and the structure of the double helix. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna/v/molecular-structure-of-dna?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/enzyme-kinetics/v/covalent-modifications-to-enzymes?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constant angular momentum when no net torque | Physics | Khan Academy thumb=https://i.ytimg.com/vi/CbeCE1HoGfA/default.jpg URL=http://www.youtube.com/watch?v=CbeCE1HoGfA description=Just like how linear momentum is constant when there's no net force, angular momentum is constant where there's no net torque. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/angular-momentum-of-an-extended-object?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/angular-momentum?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angular momentum | Moments, torque, and angular momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/nFSMu3bxXVA/default.jpg URL=http://www.youtube.com/watch?v=nFSMu3bxXVA description=Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/constant-angular-momentum-when-no-net-torque?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/rolling-without-slipping-problems?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Average height of a building's floor | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/5GOhM3jq9Fc/default.jpg URL=http://www.youtube.com/watch?v=5GOhM3jq9Fc description=Use a picture and understanding of multiplcation to solve a division word problem. Watch out for unnecessary information. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/e/solving-basic-multiplication-and-division-equations?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/unknowns-with-multiplication-and-division?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/blueberries-for-friends?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Blueberries for friends | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/QXNg_u5Tv8Q/default.jpg URL=http://www.youtube.com/watch?v=QXNg_u5Tv8Q description=Use a picture and understanding of multiplcation to solve a division word problem. Watch out for unnecessary information. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/e/solving-basic-multiplication-and-division-equations?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/average-height-of-a-building-s-floor?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/liters-of-soda-for-the-party?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Liters of soda for the party | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/iqpDFKIREBo/default.jpg URL=http://www.youtube.com/watch?v=iqpDFKIREBo description=Use a picture and repeated addition to solve a multiplication word problem. Watch out for unnecessary information. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/e/solving-basic-multiplication-and-division-equations?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/blueberries-for-friends?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/how-many-cars-can-fit-in-the-parking-lot?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unknowns with multiplication and division | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/TqAtt3g6Tkc/default.jpg URL=http://www.youtube.com/watch?v=TqAtt3g6Tkc description=Find the missing number in multiplication and division equations. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/e/solving-basic-multiplication-and-division-equations?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-two-step-word-problems/v/how-many-truffle-eating-guests-attended-a-party?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/average-height-of-a-building-s-floor?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How many cars can fit in the parking lot | Multiplication and division | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/6QZCj4O9sk0/default.jpg URL=http://www.youtube.com/watch?v=6QZCj4O9sk0 description=Use a picture and repeated addition to solve a multiplication word problem. Watch out for unnecessary information. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/e/solving-basic-multiplication-and-division-equations?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-third-grade-applying-mult-div/v/liters-of-soda-for-the-party?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-relate-mult-div/v/examples-relating-multiplication-to-division?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative numbers and number line examples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qW-Ce44ll0Q/default.jpg URL=http://www.youtube.com/watch?v=qW-Ce44ll0Q description=Given a few negative numbers on a number line, let's see if we can determine what negative numbers are elsewhere on the number line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/e/number_line_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/v/ordering-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/v/negative-numbers-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Khan on the importance of support from our users thumb=https://i.ytimg.com/vi/f3YoxZKd130/default.jpg URL=http://www.youtube.com/watch?v=f3YoxZKd130 type=video name=Free throw binomial probability distribution | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/eL965_Lscb8/default.jpg URL=http://www.youtube.com/watch?v=eL965_Lscb8 description=Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/graphing-basketball-binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/generalizing-k-scores-in-n-attempts?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability of making 2 shots in 6 attempts | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Ctytn4a6zjw/default.jpg URL=http://www.youtube.com/watch?v=Ctytn4a6zjw description=Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/generalizing-k-scores-in-n-attempts?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/visualizing-a-binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Generalizing k scores in n attempts | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/efE8xuvUjAo/default.jpg URL=http://www.youtube.com/watch?v=efE8xuvUjAo description=Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/free-throw-binomial-probability-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/probability-of-making-2-shots-in-6-attempts?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing basketball binomial distribution | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/y2G03Lumhe0/default.jpg URL=http://www.youtube.com/watch?v=y2G03Lumhe0 description=Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/expected-value-of-binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/free-throw-binomial-probability-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Binomial distribution | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/WWv0RUxDfbs/default.jpg URL=http://www.youtube.com/watch?v=WWv0RUxDfbs description=PWatch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/visualizing-a-binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/law-of-large-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing a binomial distribution | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/NF0lrkqXIkQ/default.jpg URL=http://www.youtube.com/watch?v=NF0lrkqXIkQ description=Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/probability-of-making-2-shots-in-6-attempts?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial remainder theorem to test factor | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/JAdNNJynWM4/default.jpg URL=http://www.youtube.com/watch?v=JAdNNJynWM4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/e/remainder-theorem-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/constructing-a-polynomial-that-has-a-certain-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a polynomial that has a certain factor | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/e0lBUViss8E/default.jpg URL=http://www.youtube.com/watch?v=e0lBUViss8E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/e/remainder-theorem-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem-proof?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem-to-test-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial remainder theorem example | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/MHtTP6vc4RU/default.jpg URL=http://www.youtube.com/watch?v=MHtTP6vc4RU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/e/remainder-theorem-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem-to-test-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial remainder theorem proof | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/NIazpCER9oM/default.jpg URL=http://www.youtube.com/watch?v=NIazpCER9oM description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/factoring-sum-of-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/constructing-a-polynomial-that-has-a-certain-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial remainder theorem | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/MwG6QD352yc/default.jpg URL=http://www.youtube.com/watch?v=MwG6QD352yc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/e/remainder-theorem-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/why-synthetic-division-works?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Empirical, molecular, and structural formulas | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/bmjg7lq4m4o/default.jpg URL=http://www.youtube.com/watch?v=bmjg7lq4m4o description=There are three main types of chemical formulas: empirical, molecular and structural. Empirical formulas show the simplest whole-number ratio of atoms in a compound, molecular formulas show the number of each type of atom in a molecule, and structural formulas show how the atoms in a molecule are bonded to each other. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:elemental-composition-of-pure-substances/v/empirical-molecular-and-structural-formulas Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Zero factorial or 0! | Probability and combinatorics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/HGoZfzz6dU0/default.jpg URL=http://www.youtube.com/watch?v=HGoZfzz6dU0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutations-and-combinations-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/possible-three-letter-words?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Possible three letter words | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VYbqG2NuOo8/default.jpg URL=http://www.youtube.com/watch?v=VYbqG2NuOo8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/zero-factorial-or-0?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutation-formula?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Handshaking combinations | Probability and combinatorics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/boH4l1SgJbM/default.jpg URL=http://www.youtube.com/watch?v=boH4l1SgJbM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/e/permutations_and_combinations_2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/e/combinations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/v/combination-formula?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Combination formula | Probability and combinatorics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/p8vIcmr_Pqo/default.jpg URL=http://www.youtube.com/watch?v=p8vIcmr_Pqo description=Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/e/combinations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/v/handshaking-combinations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/v/introduction-to-combinations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factorial and counting seat arrangements | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Z1zdkcwosD4/default.jpg URL=http://www.youtube.com/watch?v=Z1zdkcwosD4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutation-formula?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/bringing-the-set-operations-together?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Permutation formula | Probability and combinatorics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/DROZVHObeko/default.jpg URL=http://www.youtube.com/watch?v=DROZVHObeko description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/possible-three-letter-words?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/factorial-and-counting-seat-arrangements?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to combinations | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/iKy-d5_erhI/default.jpg URL=http://www.youtube.com/watch?v=iKy-d5_erhI description=Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/e/combinations_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/v/combination-formula?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/permutations-and-combinations-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting pot and flower scenarios | Statistics and probability | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/B_vAlneziHo/default.jpg URL=http://www.youtube.com/watch?v=B_vAlneziHo description=Find the number of ways you can put four types of flowers into three types of pots. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/e/fundamental-counting-principle?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/tree-diagram-to-count-outcomes?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-compound-events/v/probability-from-compound-sample-space?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Counting handshakes at a dinner party thumb=https://i.ytimg.com/vi/i_Cs4eKfec0/default.jpg URL=http://www.youtube.com/watch?v=i_Cs4eKfec0 description=Counting handshakes at a dinner party/description type=video name=Balancing chemical equation with substitution | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/8KXWJCmshEE/default.jpg URL=http://www.youtube.com/watch?v=8KXWJCmshEE description=Using the substitution method to balance a reaction where a reactant and product have a polyatomic ion in common. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/stoichiometry-ideal/v/stoichiometry?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/balancing-another-combustion-reaction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visually understanding balancing chemical equations | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/HbIdp5DURJA/default.jpg URL=http://www.youtube.com/watch?v=HbIdp5DURJA description=Relating the balanced chemical equation to the structural formulas of the reactants and products. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/balancing-another-combustion-reaction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/balancing-more-complex-chemical-equation?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balancing chemical equations | Chemical reactions and stoichiometry | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/TUuABq95BBM/default.jpg URL=http://www.youtube.com/watch?v=TUuABq95BBM description=How to balance a chemical reaction by making sure you have the same number of atoms of each element on both sides. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/balancing-more-complex-chemical-equation?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/chemical-reactions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balancing another combustion reaction | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/cmi8EnJQA84/default.jpg URL=http://www.youtube.com/watch?v=cmi8EnJQA84 description=Balancing the combustion reaction of ethane, C₂H₆ . Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/balancing-chemical-equation-with-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/visually-understanding-balancing-chemical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balancing more complex chemical equations | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/xqpYeiefZl8/default.jpg URL=http://www.youtube.com/watch?v=xqpYeiefZl8 description=Example of balancing the combustion reaction of ethylene, C_H_. Some tips on how to balance more complicated reactions. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/visually-understanding-balancing-chemical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/balancing-chemical-equations/v/balancing-chemical-equations-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring algebraic expressions using the distributive property | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/I6TBBzIvgB8/default.jpg URL=http://www.youtube.com/watch?v=I6TBBzIvgB8 description=Learn how to apply the distributive property to factor out the greatest common factor from an algebraic expression like 2+4x. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/e/combining_like_terms_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/e/manipulating-linear-expressions-with-rational-coefficients?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/distributive-property-with-rational-terms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebraic expressions with fraction division | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_BFaxpf35sY/default.jpg URL=http://www.youtube.com/watch?v=_BFaxpf35sY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/e/nested-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/variables-expressions-and-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/v/algebraic-expression-adding-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebraic expression adding fractions | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/w7NhLkQynS8/default.jpg URL=http://www.youtube.com/watch?v=w7NhLkQynS8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/e/nested-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/v/algebraic-expressions-with-fraction-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-3-exercise-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Walter Isaacson - President and CEO of the Aspen Institute thumb=https://i.ytimg.com/vi/Jd53tcOqndI/default.jpg URL=http://www.youtube.com/watch?v=Jd53tcOqndI description=September 9, 2014 at the Khan Academy office in Mountain View More free lessons at: http://www.khanacademy.org/video?v=Jd53tcOqndI/description type=video name=Types of escrow in real estate | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/haS083Zbib4/default.jpg URL=http://www.youtube.com/watch?v=haS083Zbib4 description=Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/escrow?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Buying a home involves a lot more than writing a check and getting keys. It could very well be the largest transaction that either the buyer or seller does in their life. Because that, it is an involved process that can sometimes be confusing. Whether we're talking title insurance, escrow, or contingencies, the goal of this tutorial is to demystify the process. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Escrow | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/FDJ4D78pcbg/default.jpg URL=http://www.youtube.com/watch?v=FDJ4D78pcbg description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/types-of-escrow-in-real-estate?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/making-an-offer-on-a-home?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Buying a home involves a lot more than writing a check and getting keys. It could very well be the largest transaction that either the buyer or seller does in their life. Because that, it is an involved process that can sometimes be confusing. Whether we're talking title insurance, escrow, or contingencies, the goal of this tutorial is to demystify the process. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Making an offer on a home | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/JVcbDb3e-6w/default.jpg URL=http://www.youtube.com/watch?v=JVcbDb3e-6w description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/escrow?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/title-insurance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Buying a home involves a lot more than writing a check and getting keys. It could very well be the largest transaction that either the buyer or seller does in their life. Because that, it is an involved process that can sometimes be confusing. Whether we're talking title insurance, escrow, or contingencies, the goal of this tutorial is to demystify the process. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Titles insurance | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ji4ilvfmTEw/default.jpg URL=http://www.youtube.com/watch?v=ji4ilvfmTEw description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/making-an-offer-on-a-home?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/titles-and-deeds-in-real-estate?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Buying a home involves a lot more than writing a check and getting keys. It could very well be the largest transaction that either the buyer or seller does in their life. Because that, it is an involved process that can sometimes be confusing. Whether we're talking title insurance, escrow, or contingencies, the goal of this tutorial is to demystify the process. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Titles and deeds in real estate | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ZGIPntpFCOc/default.jpg URL=http://www.youtube.com/watch?v=ZGIPntpFCOc description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/title-insurance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/geometric-series-sum-to-figure-out-mortgage-payments?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Buying a home involves a lot more than writing a check and getting keys. It could very well be the largest transaction that either the buyer or seller does in their life. Because that, it is an involved process that can sometimes be confusing. Whether we're talking title insurance, escrow, or contingencies, the goal of this tutorial is to demystify the process. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balloon payment mortgage | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Qt-CWv6HEII/default.jpg URL=http://www.youtube.com/watch?v=Qt-CWv6HEII description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/geometric-series-sum-to-figure-out-mortgage-payments?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/hybrid-arm?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hybrid ARM | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/wluZFFkJ2io/default.jpg URL=http://www.youtube.com/watch?v=wluZFFkJ2io description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/balloon-payment-mortgage?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/adjustable-rate-mortgages-arms?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adjustable rate mortgages ARMs | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/S-mTwg73jCY/default.jpg URL=http://www.youtube.com/watch?v=S-mTwg73jCY description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/hybrid-arm?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/short-sale-basics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Changing scale of the y axis thumb=https://i.ytimg.com/vi/3V2FPMpypoU/default.jpg URL=http://www.youtube.com/watch?v=3V2FPMpypoU description=Changing scale of the y axis/description type=video name=Reverse chain rule example thumb=https://i.ytimg.com/vi/7FQWBCeVIJM/default.jpg URL=http://www.youtube.com/watch?v=7FQWBCeVIJM description=Reverse chain rule example More free lessons at: http://www.khanacademy.org/video?v=7FQWBCeVIJM/description type=video name=Reverse chain rule introduction thumb=https://i.ytimg.com/vi/X36GTLhw3Gw/default.jpg URL=http://www.youtube.com/watch?v=X36GTLhw3Gw description=Reverse chain rule introduction More free lessons at: http://www.khanacademy.org/video?v=X36GTLhw3Gw/description type=video name=Integral of tan x thumb=https://i.ytimg.com/vi/gflKYcGG6hc/default.jpg URL=http://www.youtube.com/watch?v=gflKYcGG6hc description=Integral of tan x More free lessons at: http://www.khanacademy.org/video?v=gflKYcGG6hc/description type=video name=Trig identities for trig integral thumb=https://i.ytimg.com/vi/n34jx1FIN8M/default.jpg URL=http://www.youtube.com/watch?v=n34jx1FIN8M description=Trig identities for trig integral More free lessons at: http://www.khanacademy.org/video?v=n34jx1FIN8M/description type=video name=Integral of odd powered trig function with u substitution thumb=https://i.ytimg.com/vi/xSeYS3V5di8/default.jpg URL=http://www.youtube.com/watch?v=xSeYS3V5di8 description=Integral of odd powered trig function with u substitution More free lessons at: http://www.khanacademy.org/video?v=xSeYS3V5di8/description type=video name=Using trig identity to use u substitution thumb=https://i.ytimg.com/vi/rElAJA9GyL4/default.jpg URL=http://www.youtube.com/watch?v=rElAJA9GyL4 description=Using trig identity to use u substitution More free lessons at: http://www.khanacademy.org/video?v=rElAJA9GyL4/description type=video name=Worked example: Definite integral by thinking about the function's graph | Khan Academy thumb=https://i.ytimg.com/vi/hTTDI49LhjE/default.jpg URL=http://www.youtube.com/watch?v=hTTDI49LhjE description=If you already know the area under a curve, you can use it to compute an integral. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/e/evaluating-a-definite-integral-from-a-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums/v/simple-riemann-approximation-using-rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/v/definite-integrals-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistical significance on bus speeds | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/W3C07uH-b9o/default.jpg URL=http://www.youtube.com/watch?v=W3C07uH-b9o description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test/e/hypothesis-testing-in-experiments?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/v/video-games-and-violence-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test/v/statistical-significance-experiment?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing models to fit data | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/2EwTHdg-xgw/default.jpg URL=http://www.youtube.com/watch?v=2EwTHdg-xgw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/e/fitting-functions-to-scatter-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/correlation-and-causality?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/constructing-scatter-plot-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotation by radians and quadrants | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/fYQ3GRSu4JU/default.jpg URL=http://www.youtube.com/watch?v=fYQ3GRSu4JU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/radians-on-the-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/arc-length-as-fraction-of-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/introduction-to-radians?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling with combined functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/2IWhknVzeJM/default.jpg URL=http://www.youtube.com/watch?v=2IWhknVzeJM description=Find the value of a function for a given x based on a graph, and perform operations with that value. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/e/combining-functions-with-arithmetic-operations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/quotient-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Arc length as fraction of circumference | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/XFI7GK4Nv-s/default.jpg URL=http://www.youtube.com/watch?v=XFI7GK4Nv-s description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/radians-on-the-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/arc-length-from-angle-measure?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/rotation-by-radians-and-quadrants?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotating 2D shapes in 3D | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/vdpyWeiHXmU/default.jpg URL=http://www.youtube.com/watch?v=vdpyWeiHXmU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/e/rotate-2d-shapes-to-make-3d-objects?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/v/language-and-notation-of-the-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/v/ways-to-cut-a-cube?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visually understanding long division thumb=https://i.ytimg.com/vi/jTbIw2iR8WU/default.jpg URL=http://www.youtube.com/watch?v=jTbIw2iR8WU description=Visually understanding long division/description type=video name=L'Hopital's Rule to solve for variable | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Ot0FxL8Vl7I/default.jpg URL=http://www.youtube.com/watch?v=Ot0FxL8Vl7I description=L'Hôpital's Rule Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/e/lhopitals_rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/tricky-lhopitals-rule-problem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tricky L'Hopital's Rule problem | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/CDf_aE5yg3A/default.jpg URL=http://www.youtube.com/watch?v=CDf_aE5yg3A description=L'Hôpital's Rule Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/e/lhopitals_rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/proof-of-special-case-of-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/lhopitals-rule-to-solve-for-variable?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to test solutions to equations using substitution | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/U9OfQd8poTQ/default.jpg URL=http://www.youtube.com/watch?v=U9OfQd8poTQ description=A solution to an equation makes that equation true. Learn how to test if a certain value of a variable makes an equation true. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/e/testing-solutions-of-equations-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-solving-equations/v/why-we-do-the-same-thing-to-both-sides-simple-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-intro-equations/v/variables-expressions-and-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to test solutions to inequalities | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/Yh4TXMVq9eg/default.jpg URL=http://www.youtube.com/watch?v=Yh4TXMVq9eg description=A solution to an inequality makes that inequality true. Learn how to test if a certain value of a variable makes an inequality true. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-inequalities/e/testing-solutions-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-inequalities/v/plotting-inequalities-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-one-step-equation-mistakes/v/finding-mistakes-in-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Two-way frequency tables and Venn diagrams | Data and modeling | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/l5MrtV7ZN88/default.jpg URL=http://www.youtube.com/watch?v=l5MrtV7ZN88 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/two-way-tables/e/two-way-frequency-tables?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/two-way-tables/v/two-way-relative-frequency-tables?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-patterns-in-data/v/interpreting-trend-line?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Two-way relative frequency tables | Data and modeling | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/_ETPMszULXc/default.jpg URL=http://www.youtube.com/watch?v=_ETPMszULXc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/two-way-tables/e/two-way-relative-frequency-tables?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/two-way-tables/v/video-games-and-violence-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/two-way-tables/v/two-way-frequency-tables-and-venn-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting two-way tables | Data and modeling | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/MarqSlyz-lU/default.jpg URL=http://www.youtube.com/watch?v=MarqSlyz-lU description=Learn how to read two-way tables. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-counting/v/counting-with-small-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade This is the last video in our 8th grade subject! Now move on to our first video in early math: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/two-way-tables/v/video-games-and-violence-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean theorem in 3D | Geometry | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/1UQ5IbihJNI/default.jpg URL=http://www.youtube.com/watch?v=1UQ5IbihJNI description=The Pythagorean theorem is useful in 3D figures, too! Can you find the right triangles hidden within the prisms and pyramids? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/pythagorean-theorem-in-3d?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/distance-formula?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/pythagorean-theorem-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: cosine function from power series | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/BAFOOQxiwkU/default.jpg URL=http://www.youtube.com/watch?v=BAFOOQxiwkU description=Given a power series, we recognize it as the Maclaurin series of cos(x_) and evaluate it at a given x-value. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/recognizing-function-from-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/maclaurin-series-based-on-cos-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Taylor polynomial of derivative function | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/aMIyUsF75Pw/default.jpg URL=http://www.youtube.com/watch?v=aMIyUsF75Pw description=Rather than approximating a function, this time we are asked to approximate the derivative of a function. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/cosine-taylor-series-at-0-maclaurin?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/visualizing-taylor-series-for-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: power series from cos(x) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/kXULrUxGzmU/default.jpg URL=http://www.youtube.com/watch?v=kXULrUxGzmU description=Finding a power series to represent x_cos(x_) using the Maclaurin series of cos(x). Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/evaluating-power-series-for-mystery-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/euler-s-formula-and-euler-s-identity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Power series of arctan(2x) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/NgYrsqoKXpM/default.jpg URL=http://www.youtube.com/watch?v=NgYrsqoKXpM description=We can represent arctan(2x) with a power series by representing its derivative as a power series and then integrating that series. You have to admit this is pretty neat. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/e/creating-power-series-from-geometric-series-using-differentiation-and-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/power-series-using-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/rep-function-with-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Euler's method program code | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/SJVhtIGAkKs/default.jpg URL=http://www.youtube.com/watch?v=SJVhtIGAkKs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/eulers-method-tutorial/e/euler-s-method?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/eulers-method-tutorial/v/example-eulers-method-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/eulers-method-tutorial/v/eulers-method?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Euler's method | Differential equations| AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/_-a-yNubpk8/default.jpg URL=http://www.youtube.com/watch?v=_-a-yNubpk8 description=Finding the initial condition based on the result of approximating with Euler's method. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-eulers-method/e/euler-s-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-exp-models/v/modeling-population-with-simple-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-eulers-method/v/eulers-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Euler's method | Differential equations| AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/q87L9R9v274/default.jpg URL=http://www.youtube.com/watch?v=q87L9R9v274 description=Euler's method is a numerical tool for approximating values for solutions of differential equations. See how (and why) it works. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-eulers-method/e/euler-s-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-eulers-method/v/example-eulers-method-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-equations/bc-slope-fields/v/range-of-solution-curve-from-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling population with simple differential equation | Khan Academy thumb=https://i.ytimg.com/vi/IYFkXWlgC_w/default.jpg URL=http://www.youtube.com/watch?v=IYFkXWlgC_w description=Another separable differential equation example. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/particular-solution-given-initial-conditions-for-population?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/separable-differential-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying Newton's Law of Cooling to warm oatmeal | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/jH5qflAe3C8/default.jpg URL=http://www.youtube.com/watch?v=jH5qflAe3C8 description=Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/modeling-population-with-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/newtons-law-of-cooling?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newton's Law of Cooling | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/IICR-w1jYcA/default.jpg URL=http://www.youtube.com/watch?v=IICR-w1jYcA description=Another separable differential equation example. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/applying-newtons-law-of-cooling-to-warm-oatmeal?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/particular-solution-given-initial-conditions-for-population?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Particular solution given initial conditions for population | Khan Academy thumb=https://i.ytimg.com/vi/6jqx5uEBs5U/default.jpg URL=http://www.youtube.com/watch?v=6jqx5uEBs5U description=Another separable differential equation example. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/newtons-law-of-cooling?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/modeling-population-with-simple-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Separable differential equations introduction | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/DL-ozRGDlkY/default.jpg URL=http://www.youtube.com/watch?v=DL-ozRGDlkY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/e/separable-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/particular-solution-to-differential-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/differential-equation-from-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Particular solution to differential equation example | Khan Academy thumb=https://i.ytimg.com/vi/E444KhRcWSk/default.jpg URL=http://www.youtube.com/watch?v=E444KhRcWSk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/e/separable-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/separable-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/separable-differential-equations-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differential equation from slope field | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/sU5MCM3npXU/default.jpg URL=http://www.youtube.com/watch?v=sU5MCM3npXU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/separable-differential-equations-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/slope-field-to-visualize-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope field to visualize solutions | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/LoaagZPWvpM/default.jpg URL=http://www.youtube.com/watch?v=LoaagZPWvpM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/differential-equation-from-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/creating-a-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating a slope field | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/8Amgakx5aII/default.jpg URL=http://www.youtube.com/watch?v=8Amgakx5aII description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/slope-fields?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/slope-field-to-visualize-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differential equation introduction | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/6o7b9yyhH7k/default.jpg URL=http://www.youtube.com/watch?v=6o7b9yyhH7k description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/introduction-to-differential-equations-and-initial-value-problems?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/finding-particular-linear-solution-to-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding particular linear solution to differential equation | Khan Academy thumb=https://i.ytimg.com/vi/zid7J4EhZN8/default.jpg URL=http://www.youtube.com/watch?v=zid7J4EhZN8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/e/introduction-to-differential-equations-and-initial-value-problems?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/creating-a-slope-field?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/differential-equations-intro/v/differential-equation-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: alternating series remainder | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/vTYxY4IpmF8/default.jpg URL=http://www.youtube.com/watch?v=vTYxY4IpmF8 description=Using the alternating series remainder to approximating the sum of an alternating series to a given error bound. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/e/alternating-series-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/power-series-radius-interval-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/alternating-series-error-estimation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternating series remainder | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/gs9O255gdEY/default.jpg URL=http://www.youtube.com/watch?v=gs9O255gdEY description=By computing only the first few terms of an alternating series, we can get a pretty good estimate for the infinite sum. See why. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/e/alternating-series-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/alternating-series-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/estimating-infinite-sum-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ratio test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/av947KCWf2U/default.jpg URL=http://www.youtube.com/watch?v=av947KCWf2U description=The ratio test is a most useful test for series convergence. It caries over intuition from geometric series to more general series. Learn more about it here. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/e/ratio-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/alternating-series-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/harmonic-series-divergent?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Series estimation with integrals | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/8I_KtODUekU/default.jpg URL=http://www.youtube.com/watch?v=8I_KtODUekU description=See how we can use improper integrals to approximate the infinite sum of 1/n_. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/alternating-series-error-estimation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/integrals-estimating-p-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radius of convergence using Ratio Test thumb=https://i.ytimg.com/vi/4L9dSZN5Nvg/default.jpg URL=http://www.youtube.com/watch?v=4L9dSZN5Nvg description=Description More free lessons at: http://www.khanacademy.org/video?v=4L9dSZN5Nvg/description type=video name=Series estimation with integrals | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/mUfp0KaXSj4/default.jpg URL=http://www.youtube.com/watch?v=mUfp0KaXSj4 description=Suppose we want to find the sum of a convergent series, and can't do it directly. We can take a partial sum, but how do we know how far we are from the actual sum? We can use improper integrals for that! Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/estimating-infinite-sum-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/worked-example-alternating-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit comparison test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/AtbZZiSLemQ/default.jpg URL=http://www.youtube.com/watch?v=AtbZZiSLemQ description=In some cases where the direct comparison test is inconclusive, we can use the limit comparison test. Learn more about it here. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/e/limit-comparison-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/limit-comparison-test-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/comparison-test-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ALS - Amyotrophic lateral sclerosis | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/tKDET9t8VTI/default.jpg URL=http://www.youtube.com/watch?v=tKDET9t8VTI description=Sal explains the disease ALS, amyotrophic lateral sclerosis, and takes the "ice bucket challenge.". Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/low-salt-diet?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/strokes?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=nth term divergence test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/1yInzfzDDKY/default.jpg URL=http://www.youtube.com/watch?v=1yInzfzDDKY description=If the terms of an infinite series don't approach zero, the series must diverge. Learn more about this test in this video. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/e/nth-term-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/integral-test-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/v/repeating-decimal-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Integral test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/xRyXz_UZ14Q/default.jpg URL=http://www.youtube.com/watch?v=xRyXz_UZ14Q description=See how the integral test is put to use in determining whether a sequence converges or diverges. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/e/integral-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/p-series-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/integral-test-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integral test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/u1UKIljUWuc/default.jpg URL=http://www.youtube.com/watch?v=u1UKIljUWuc description=The integral test helps us determine a series convergence by comparing it to an improper integral, which is something we already know how to find. Learn how it works in this video. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/e/integral-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/integral-test-divergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/divergence-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: direct comparison test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/XoBlfbrdBpQ/default.jpg URL=http://www.youtube.com/watch?v=XoBlfbrdBpQ description=Using the direct comparison test to determine that the infinite sum of 1/(2_+n) converges by comparing it to the infinite sum 1/2_. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/e/direct-and-limit-comparison-tests?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/limit-comparison-test-cor?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/comparison-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Direct comparison test | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/0tXxFPHzFFI/default.jpg URL=http://www.youtube.com/watch?v=0tXxFPHzFFI description=If every term in one series is less than the corresponding term in some convergent series, it must converge as well. This notion is at the basis of the direct convergence test. Learn more about it here. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/e/direct-and-limit-comparison-tests?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/comparison-test-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/p-series-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: harmonic series diverges | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/4yyLfrsSXQQ/default.jpg URL=http://www.youtube.com/watch?v=4yyLfrsSXQQ description=Showing that the harmonic series 1 + _ + _ + _ + ... actually diverges, using the direct comparison test. This proof is famous for its clever use of algebraic manipulation! Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-ratio-alt-series/v/ratio-test-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-comparison-tests/v/limit-comparison-test-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Justification for polar arc length formula thumb=https://i.ytimg.com/vi/CEPuNmVKnZM/default.jpg URL=http://www.youtube.com/watch?v=CEPuNmVKnZM description=Justification for polar arc length formula More free lessons at: http://www.khanacademy.org/video?v=CEPuNmVKnZM/description type=video name=Arc length of petal of polar graph thumb=https://i.ytimg.com/vi/sFlH7V7QDbQ/default.jpg URL=http://www.youtube.com/watch?v=sFlH7V7QDbQ description=Arc length of petal of polar graph More free lessons at: http://www.khanacademy.org/video?v=sFlH7V7QDbQ/description type=video name=John Legend: Success through effort thumb=https://i.ytimg.com/vi/LUtcigWSBsw/default.jpg URL=http://www.youtube.com/watch?v=LUtcigWSBsw description=John Legend shares a personal story about overcoming early rejections in his career to get to where he is today. Join the You Can Learn Anything movement at www.khanacademy.org/YouCanLearnAnything/description type=video name=Growing your mind thumb=https://i.ytimg.com/vi/WtKJrB5rOKs/default.jpg URL=http://www.youtube.com/watch?v=WtKJrB5rOKs description=Your mental abilities are not fixed. Sal explains how your brain grows when you struggle with problems. Abbreviated version of https://www.youtube.com/watch?v=GWSZ1DKjNzY./description type=video name=The Growth Mindset thumb=https://i.ytimg.com/vi/wh0OS4MrN3E/default.jpg URL=http://www.youtube.com/watch?v=wh0OS4MrN3E description=Sal talks with Stanford Professor Carol Dweck about her research on the Growth Mindset. Join the You Can Learn Anything movement at www.khanacademy.org/YouCanLearnAnything/description type=video name=You Can Learn Anything thumb=https://i.ytimg.com/vi/JC82Il2cjqA/default.jpg URL=http://www.youtube.com/watch?v=JC82Il2cjqA description=Khan Academy is on a mission to unlock the world's potential. Most people think their intelligence is fixed. The science says it’s not. It starts with knowing you can learn anything. Join the movement at http://khanacademy.org/youcanlearnanything. About Khan Academy Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Worked example: Area between two polar graphs | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/KwR_ysrv3sg/default.jpg URL=http://www.youtube.com/watch?v=KwR_ysrv3sg description=More practice with the area encloised by polar functions, this time with two graphs. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/v/calculator-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/v/cardioid-area?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Area enclosed by cardioid | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/-cR6FzM1zNE/default.jpg URL=http://www.youtube.com/watch?v=-cR6FzM1zNE description=Area enclosed by cardioid. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/v/area-defined-by-two-polar-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/v/formula-area-polar-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating definite integral with calculator | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/4tWFdI7DkJ4/default.jpg URL=http://www.youtube.com/watch?v=4tWFdI7DkJ4 description=Here we walk through how to use a graphing calculator to compute the integral found in the last video. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/e/area-enclosed-by-polar-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/v/arc-length-formula?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/v/area-defined-by-two-polar-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area bounded by polar curves | Applications of definite integrals | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/qVn_Lfec-Ac/default.jpg URL=http://www.youtube.com/watch?v=qVn_Lfec-Ac description=Develop intuition for the area enclosed by polar graph formula. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/v/cardioid-area?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-horizontal-area/v/area-between-two-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial fraction expansion to evaluate integral | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/7IkufOBIw5g/default.jpg URL=http://www.youtube.com/watch?v=7IkufOBIw5g description=When you are integrating a function in the form of a fraction, it helps to find a way to break apart the expression. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-partial-fractions/e/integration-of-rational-functions-by-division-and-partial-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-partial-fractions/v/integral-partial-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integration-by-parts-of-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing expressions to evaluate integral | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/5j81gyHn9i0/default.jpg URL=http://www.youtube.com/watch?v=5j81gyHn9i0 description=Here we do polynomial long division to make an integral more computable. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-partial-fractions/e/integration-of-rational-functions-by-division-and-partial-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-average-value/v/average-function-value-closed-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-partial-fractions/v/partial-fraction-expansion-to-integrate?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sean O'Sullivan - Founder of SOSventure | Entrepreneurship | Khan Academy thumb=https://i.ytimg.com/vi/kkpVr5eoyVE/default.jpg URL=http://www.youtube.com/watch?v=kkpVr5eoyVE description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/a-conversation-with-drew-houston?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/angela-ahrendts?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Entrepreneurship on Khan Academy: Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Entrepreneurship channel: https://www.youtube.com/channel/UCHqkkPYpIb9FotyBtLWU7IQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to grow your brain thumb=https://i.ytimg.com/vi/GWSZ1DKjNzY/default.jpg URL=http://www.youtube.com/watch?v=GWSZ1DKjNzY description=Short video going over the idea backed by research that your brain really is like a muscle: the more you use it, the stronger it gets. Join the You Can Learn Anything movement at www.khanacademy.org/YouCanLearnAnything/description type=video name=Volume with cross sections: semicircle | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/tf4C8x8e7HQ/default.jpg URL=http://www.youtube.com/watch?v=tf4C8x8e7HQ description=The volume of a solid with semi-circular cross sections and a triangular base. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vol-cross-sections/e/volumes-of-solids-of-known-cross-section?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-horizontal-area/v/area-between-two-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-horizontal-area/v/area-between-curve-and-y-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume with cross sections: triangle | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/S-agS4YaxxU/default.jpg URL=http://www.youtube.com/watch?v=S-agS4YaxxU description=This time, the cross section of our solid is given as the area between two curves. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vol-cross-sections/e/volumes-of-solids-of-known-cross-section?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disk-method-around-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vol-cross-sections/v/volume-solid-semicircle-cross-section?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another arc length integration example thumb=https://i.ytimg.com/vi/MtRXjXdXDow/default.jpg URL=http://www.youtube.com/watch?v=MtRXjXdXDow description=Another arc length integration example More free lessons at: http://www.khanacademy.org/video?v=MtRXjXdXDow/description type=video name=Arc length intro | Applications of definite integrals | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/8Y-snjheI9M/default.jpg URL=http://www.youtube.com/watch?v=8Y-snjheI9M description=We can use definite integrals to find the length of a curve. See how it's done and get some intuition into why the formula works. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/v/arc-length-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-polar-graphs-area/v/calculator-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: arc length | Applications of definite integrals | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/OhISsmqv4_8/default.jpg URL=http://www.youtube.com/watch?v=OhISsmqv4_8 description=A finely tuned example demonstrating how the arc length formula works. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/v/parametric-curve-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-arc-length/v/arc-length-formula?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples leveraging integration properties thumb=https://i.ytimg.com/vi/dX0JyJRTXm4/default.jpg URL=http://www.youtube.com/watch?v=dX0JyJRTXm4 description=Examples leveraging integration properties More free lessons at: http://www.khanacademy.org/video?v=dX0JyJRTXm4/description type=video name=Breaking up integral interval | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/BE1FK7vDVq0/default.jpg URL=http://www.youtube.com/watch?v=BE1FK7vDVq0 description=By subdividing the stretch of numbers where you are integrating, you can break up an integral. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/same-integration-bounds?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/v/writing-riemann-sum-limit-as-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral of shifted function thumb=https://i.ytimg.com/vi/09VLUSkaZU8/default.jpg URL=http://www.youtube.com/watch?v=09VLUSkaZU8 description=Definite integral of shifted function More free lessons at: http://www.khanacademy.org/video?v=09VLUSkaZU8/description type=video name=Integrating sums of functions | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/JUouea9XoF8/default.jpg URL=http://www.youtube.com/watch?v=JUouea9XoF8 description=If you know the integrals of two functions, what is the integral of their sum? Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/integrating-scaled-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/properties-of-definite-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Switching bounds of definite integral | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/L5eBJjx2FP8/default.jpg URL=http://www.youtube.com/watch?v=L5eBJjx2FP8 description=What happens when you swap the bounds on an integral? Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/properties-of-definite-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/same-integration-bounds?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integrating scaled version of function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/JyArK4jw3XU/default.jpg URL=http://www.youtube.com/watch?v=JyArK4jw3XU description=Sal uses a graph to explain why we can take a constant out of a definite integral. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/properties-of-definite-integrals-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/integrating-function-sums?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral over a single point | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/q3qvkZxhchE/default.jpg URL=http://www.youtube.com/watch?v=q3qvkZxhchE description=What happens when the bounds of your integral are the same? Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/switching-integral-bounds?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/breaking-integral-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area under rate function gives the net change | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/6FTiHeius1c/default.jpg URL=http://www.youtube.com/watch?v=6FTiHeius1c description=If you have a function representing rate, what does the area under its curve represent? Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/interpreting-definite-integral-as-net-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-exp-models/v/exponential-solution-to-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Human brain and growing intelligence thumb=https://i.ytimg.com/vi/wCBlTX3quzs/default.jpg URL=http://www.youtube.com/watch?v=wCBlTX3quzs description=An overview of the human brain and how intelligence can be strengthened though stimulation of the brain. Your brain actually grows when you struggle and make mistakes./description type=video name=Example modeling asteroid velocity with differential equation thumb=https://i.ytimg.com/vi/Ugwg2dHUB90/default.jpg URL=http://www.youtube.com/watch?v=Ugwg2dHUB90 description=Example modeling asteroid velocity with differential equation/description type=video name=Logistic function application | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/-fIsaqN-aaQ/default.jpg URL=http://www.youtube.com/watch?v=-fIsaqN-aaQ description=Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/eulers-method-tutorial/v/eulers-method?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/solving-logistic-differential-equation-part2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving the logistic differential equation part 1 | Khan Academy thumb=https://i.ytimg.com/vi/j_Taf2Tgggo/default.jpg URL=http://www.youtube.com/watch?v=j_Taf2Tgggo description=Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/solving-logistic-differential-equation-part2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/logistic-differential-equation-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving the logistic differential equation part 2 | Khan Academy thumb=https://i.ytimg.com/vi/NU1v-8VRirU/default.jpg URL=http://www.youtube.com/watch?v=NU1v-8VRirU description=Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/logistic-function-application?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/solving-logistic-differential-equation-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Logistic differential equation intuition | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/oiDvNs15tkE/default.jpg URL=http://www.youtube.com/watch?v=oiDvNs15tkE description=Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/solving-logistic-differential-equation-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/modeling-population-with-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling population as an exponential function | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/_JpS8k1a9yE/default.jpg URL=http://www.youtube.com/watch?v=_JpS8k1a9yE description=Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/logistic-differential-equation/v/logistic-differential-equation-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/applying-newtons-law-of-cooling-to-warm-oatmeal?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting directly from binary to hexadecimal | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8T4F7WboWPQ/default.jpg URL=http://www.youtube.com/watch?v=8T4F7WboWPQ description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/exponents-warmup?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/binary-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying in binary | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xHWKYFhhtJQ/default.jpg URL=http://www.youtube.com/watch?v=xHWKYFhhtJQ description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/binary-to-hexadecimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/binary-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding in binary | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/RgklPQ8rbkg/default.jpg URL=http://www.youtube.com/watch?v=RgklPQ8rbkg description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/binary-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/decimal-to-hexadecimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting from decimal to hexadecimal representation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NFmDz1dQyPU/default.jpg URL=http://www.youtube.com/watch?v=NFmDz1dQyPU description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/binary-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/large-number-decimal-to-binary?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting larger number from decimal to binary | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/bvcXEJbEzSs/default.jpg URL=http://www.youtube.com/watch?v=bvcXEJbEzSs description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/decimal-to-hexadecimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/decimal-to-binary?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting from decimal to binary | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/H4BstqvgBow/default.jpg URL=http://www.youtube.com/watch?v=H4BstqvgBow description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/large-number-decimal-to-binary?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/hexadecimal-number-system?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hexadecimal number system | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4EJay-6Bioo/default.jpg URL=http://www.youtube.com/watch?v=4EJay-6Bioo description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/decimal-to-binary?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/number-systems-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to number systems and binary | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ku4KOFQ-bB4/default.jpg URL=http://www.youtube.com/watch?v=ku4KOFQ-bB4 description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/alternate-number-bases/v/hexadecimal-number-system?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/constructing-numeric-expressions/v/evaluating-an-expression-with-and-without-parentheses?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope of line tangent to polar graph thumb=https://i.ytimg.com/vi/ecD2zPOInf0/default.jpg URL=http://www.youtube.com/watch?v=ecD2zPOInf0 description=Slope of line tangent to polar graph/description type=video name=Mean value theorem for integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/59UeshgSuEE/default.jpg URL=http://www.youtube.com/watch?v=59UeshgSuEE description=Here Sal goes through the connection between the mean value theorem and integration. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-behavior-of-antiderivative/v/interpreting-behavior-of-antiderivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/calculating-function-average-over-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Average acceleration over interval | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/wdAgEzdkFZI/default.jpg URL=http://www.youtube.com/watch?v=wdAgEzdkFZI description=As an example of finding a mean value, we find an average acceleration. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-vertical-area/v/evaluating-simple-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-definite-integrals/bc-motion-integrals/v/planar-motion-with-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating average value of function over interval | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/0rzL08BHr5c/default.jpg URL=http://www.youtube.com/watch?v=0rzL08BHr5c description=Here we find the average value of x^2+1 on the interval between 0 and 3. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/e/average-value-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/mean-value-theorem-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/average-function-value-closed-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Average value over a closed interval | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/NCF4m8BDs7w/default.jpg URL=http://www.youtube.com/watch?v=NCF4m8BDs7w description=Average value of a function over a closed interval. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/calculating-function-average-over-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-exponential?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ranking area estimates thumb=https://i.ytimg.com/vi/gIQgnSfUB6E/default.jpg URL=http://www.youtube.com/watch?v=gIQgnSfUB6E description=Ranking estimates of area using Riemann sums and definite integrals More free lessons at: http://www.khanacademy.org/video?v=gIQgnSfUB6E/description type=video name=Heavier ball | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/ZN48Ub3k8uE/default.jpg URL=http://www.youtube.com/watch?v=ZN48Ub3k8uE description=Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/liar-truthteller-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/cheryls-birthday?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Riemann sums and sigma notation thumb=https://i.ytimg.com/vi/WeVWv_OEJsY/default.jpg URL=http://www.youtube.com/watch?v=WeVWv_OEJsY description=Understanding how Riemann sums can result in "negative area" More free lessons at: http://www.khanacademy.org/video?v=WeVWv_OEJsY/description type=video name=Finding the heavier ball thumb=https://i.ytimg.com/vi/0Jgow5x09qw/default.jpg URL=http://www.youtube.com/watch?v=0Jgow5x09qw description=You have 9 balls that look identical, but 1 is heavier than the rest. What is the minimum number of weighings on a scale to determine the heavy ball?/description type=video name=Tangent graph | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/FK6-tZ5D7xM/default.jpg URL=http://www.youtube.com/watch?v=FK6-tZ5D7xM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs-of-trigonometric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/modeling-temperature-fluxtuations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/plotting-trig-features?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangles: using angles to categorize | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/sZMezOCZr40/default.jpg URL=http://www.youtube.com/watch?v=sZMezOCZr40 description=You say you can't categorize a triangle because you don't know the length of the sides. Guess what? If you know the size of the angles you can! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/e/recognizing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/v/recog-triangles-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-geometry-topic/cc-4th-classifying-triangles/v/scalene-isosceles-equilateral-acute-right-obtuse?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Riemann sums in summation notation | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/3ZhUdleD1lQ/default.jpg URL=http://www.youtube.com/watch?v=3ZhUdleD1lQ description=Here we express the approximation of the area under a curve in sigma notation. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/e/riemann-sums-and-sigma-notation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/v/riemann-sums-and-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/v/generalizing-a-left-riemann-sum-with-equally-spaced-rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: problem involving definite integral (graphical) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/okjt-OZY1JU/default.jpg URL=http://www.youtube.com/watch?v=okjt-OZY1JU description=An example relating rates of change with a leaky bathtub. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/e/area-under-a-rate-function-equals-net-change?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/definite-integral-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-applying-def-integrals/v/analyzing-problems-involving-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating distance travelled thumb=https://i.ytimg.com/vi/v13fraCiLEg/default.jpg URL=http://www.youtube.com/watch?v=v13fraCiLEg description=Description More free lessons at: http://www.khanacademy.org/video?v=v13fraCiLEg/description type=video name=Cytotoxic T cells and MHC I complexes thumb=https://i.ytimg.com/vi/YdBXHm3edL8/default.jpg URL=http://www.youtube.com/watch?v=YdBXHm3edL8 description=Description More free lessons at: http://www.khanacademy.org/video?v=YdBXHm3edL8/description type=video name=Hardy-Weinberg equation | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/oc9fJCAIRJs/default.jpg URL=http://www.youtube.com/watch?v=oc9fJCAIRJs description=This equation relates allele frequencies to genotype frequencies for populations in Hardy-Weinberg equilibrium. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/mendelian-genetics/v/applying-hardy-weinberg?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/mendelian-genetics/v/punnett-square-fun?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying the Hardy-Weinberg equation | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/D5NVlAaT-OA/default.jpg URL=http://www.youtube.com/watch?v=D5NVlAaT-OA description=Using the Hardy-Weinberg equation to calculate allele and genotype frequencies. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/dna-technology/v/gel-electrophoresis-dna?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/mendelian-genetics/v/hardy-weinberg?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Allele frequency thumb=https://i.ytimg.com/vi/Bc9bhLk_AhI/default.jpg URL=http://www.youtube.com/watch?v=Bc9bhLk_AhI description=Description More free lessons at: http://www.khanacademy.org/video?v=Bc9bhLk_AhI/description type=video name=Zygote differentiating into somatic and germ cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/PvoigrzODdE/default.jpg URL=http://www.youtube.com/watch?v=PvoigrzODdE description=Learn how a zygote, the single cell produced by fertilization, divides by mitosis to produce all the tissues of the human body (including germ cells, which can undergo meiosis to make sperm and eggs). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/interphase?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/fertilization-haploid-diploid-gamete-zygote-homologous?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fertilization terminology: gametes, zygotes, haploid, diploid | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/dNp7vErqlaA/default.jpg URL=http://www.youtube.com/watch?v=dNp7vErqlaA description=How haploid gametes (sperm and egg cells) combine to form a diploid zygote with two sets of chromosomes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/somatic-germ-cells?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/loss-of-cell-cycle-control-in-cancer?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Atomic radius trends on periodic table | Periodic table | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/q--2WP8wXtk/default.jpg URL=http://www.youtube.com/watch?v=q--2WP8wXtk description=How atomic radius is defined, and trends across a period and down a group. Created by Jay. Watch the next lesson: https://www.khanacademy.org/science/chemistry/periodic-table/periodic-table-trends-bonding/v/atomic-and-ionic-radii?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/periodic-table/copy-of-periodic-table-of-elements/v/periodic-table-valence-electrons?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electronegativity | Atomic structure and properties | AP Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Rr7LhdSKMxY/default.jpg URL=http://www.youtube.com/watch?v=Rr7LhdSKMxY description=Electronegativity is a measure of an atom's ability to attract shared electrons to itself. On the periodic table, electronegativity generally increases as you move from left to right across a period and decreases as you move down a group. As a result, the most electronegative elements are found on the top right of the periodic table, while the least electronegative elements are found on the bottom left. View more lessons or practice this subject at https://www.khanacademy.org/science/ap-chemistry-beta/x2eef969c74e0d802:atomic-structure-and-properties/x2eef969c74e0d802:periodic-trends/v/electronegativity-trends Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Metallic nature | Chemical bonds | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/pAjluTxSYgY/default.jpg URL=http://www.youtube.com/watch?v=pAjluTxSYgY description=Properties of metals and how we can explain their properties using electron "sea" model. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-bonds/types-chemical-bonds/v/covalent-networks-metallic-and-ionic-crystals?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-bonds/types-chemical-bonds/v/electronegativity-and-chemical-bonds?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ATP hydrolysis mechanism | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/M-aktLHDZEA/default.jpg URL=http://www.youtube.com/watch?v=M-aktLHDZEA description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/carbohydrates/v/carbohydrates-naming-and-classification?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/overview-metabolism/v/electron-carrier-molecules?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ATP: Adenosine triphosphate | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/PK6HmIe2EAg/default.jpg URL=http://www.youtube.com/watch?v=PK6HmIe2EAg description=Learn more about ATP: how it stores energy, and how that energy is released when it's converted to ATP and phosphate. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/atp-reaction-coupling/v/atp-hydrolysis-mechanism?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/free-energy-tutorial/v/endergonic-exergonic-exothermic-and-endothermic-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sn1 reactions introduction thumb=https://i.ytimg.com/vi/eB5NVPzBCzM/default.jpg URL=http://www.youtube.com/watch?v=eB5NVPzBCzM description=Description More free lessons at: http://www.khanacademy.org/video?v=eB5NVPzBCzM/description type=video name=When an integral defined function is 0 thumb=https://i.ytimg.com/vi/W20SoZiJOHU/default.jpg URL=http://www.youtube.com/watch?v=W20SoZiJOHU description=Description More free lessons at: http://www.khanacademy.org/video?v=W20SoZiJOHU/description type=video name=Functions defined by integrals | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/h6mZLTpTHcU/default.jpg URL=http://www.youtube.com/watch?v=h6mZLTpTHcU description=Sal explains how to use a graph to evaluate a function defined by an integral. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-func-defined-by-integral/e/fundamental-theorem-of-calculus-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-func-defined-by-integral/v/evaluating-function-defined-by-integral-switch?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integrals-prop/v/definite-integral-properties-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visually determining antiderivative | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/nZrxs-U9d8o/default.jpg URL=http://www.youtube.com/watch?v=nZrxs-U9d8o description=Given the graph of a function, can you identify the graph of its antiderivative? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-ftc-opt-vids/v/proof-of-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-behavior-of-antiderivative/v/interpreting-behavior-of-antiderivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: motion problems (with definite integrals) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/sLw902V40L0/default.jpg URL=http://www.youtube.com/watch?v=sLw902V40L0 description=What can you say about the velocity and position of a particle given its acceleration. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/e/particle-motion?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/average-acceleration-over-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/analyzing-motion-problems-total-dist-traveled?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding horizontal and vertical asymptotes | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/P0ZgqB44Do4/default.jpg URL=http://www.youtube.com/watch?v=P0ZgqB44Do4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/e/graphs-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-and-inverse-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/v/finding-asymptotes-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence of telescoping series thumb=https://i.ytimg.com/vi/5LMzbgfZ8cA/default.jpg URL=http://www.youtube.com/watch?v=5LMzbgfZ8cA description=Description More free lessons at: http://www.khanacademy.org/video?v=5LMzbgfZ8cA/description type=video name=Local linearization example | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/CDmJL-VNlaM/default.jpg URL=http://www.youtube.com/watch?v=CDmJL-VNlaM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/local-linearization/e/local-linearization?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus This is the last video in our differential calculus subject! Now move on to our first video in integral calculus: https://www.khanacademy.org/math/integral-calculus/indefinite-definite-integrals/indefinite_integrals/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=IntegralCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/local-linearization/v/local-linearization-intro?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Local linearization | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/u7dhn-hBHzQ/default.jpg URL=http://www.youtube.com/watch?v=u7dhn-hBHzQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/local-linearization/e/local-linearization?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/local-linearization/v/local-linearization-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/proof-of-special-case-of-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of natural logarithm | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/765X_PAxhAw/default.jpg URL=http://www.youtube.com/watch?v=765X_PAxhAw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/e/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/calculus-derivative-of-x-x-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-inverse-tangent?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of inverse tangent | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/G7WyEp8gHs0/default.jpg URL=http://www.youtube.com/watch?v=G7WyEp8gHs0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/e/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-natural-logarithm?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-inverse-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of inverse cosine | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/v_OfFmMRvOc/default.jpg URL=http://www.youtube.com/watch?v=v_OfFmMRvOc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/e/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-inverse-tangent?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-inverse-sine?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of inverse sine | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/yIQUhXa-n-M/default.jpg URL=http://www.youtube.com/watch?v=yIQUhXa-n-M description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/e/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-inverse-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/implicit_differentiation/v/implicit-derivative-of-e-xy-2-x-y?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/1ct7LUx23io/default.jpg URL=http://www.youtube.com/watch?v=1ct7LUx23io description=Finding the definite integral from 0 to 1 of x__2^(x_). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-average-value/v/average-function-value-closed-interval?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=8 Total videos rented thumb=https://i.ytimg.com/vi/1h-EUy0Bybg/default.jpg URL=http://www.youtube.com/watch?v=1h-EUy0Bybg description=More free lessons at: http://www.khanacademy.org/video?v=1h-EUy0Bybg/description type=video name=5 Values on number line thumb=https://i.ytimg.com/vi/EgtB1aF3MIU/default.jpg URL=http://www.youtube.com/watch?v=EgtB1aF3MIU description=More free lessons at: http://www.khanacademy.org/video?v=EgtB1aF3MIU/description type=video name=16 Compound inequality with absolute value thumb=https://i.ytimg.com/vi/Gst4ys6eusM/default.jpg URL=http://www.youtube.com/watch?v=Gst4ys6eusM description=More free lessons at: http://www.khanacademy.org/video?v=Gst4ys6eusM/description type=video name=7 Maximum distance on two spheres thumb=https://i.ytimg.com/vi/PK4mJ2F9lvA/default.jpg URL=http://www.youtube.com/watch?v=PK4mJ2F9lvA description=More free lessons at: http://www.khanacademy.org/video?v=PK4mJ2F9lvA/description type=video name=26 Inconsistent science thumb=https://i.ytimg.com/vi/RDgF0F_9PwM/default.jpg URL=http://www.youtube.com/watch?v=RDgF0F_9PwM description=More free lessons at: http://www.khanacademy.org/video?v=RDgF0F_9PwM/description type=video name=11 Function equaling zero thumb=https://i.ytimg.com/vi/mx_JUo_s-Ok/default.jpg URL=http://www.youtube.com/watch?v=mx_JUo_s-Ok description=More free lessons at: http://www.khanacademy.org/video?v=mx_JUo_s-Ok/description type=video name=10 Rope cutting thumb=https://i.ytimg.com/vi/nFmH5iiPuDY/default.jpg URL=http://www.youtube.com/watch?v=nFmH5iiPuDY description=More free lessons at: http://www.khanacademy.org/video?v=nFmH5iiPuDY/description type=video name=4 Polygon perimeter thumb=https://i.ytimg.com/vi/pMZSDCm9tko/default.jpg URL=http://www.youtube.com/watch?v=pMZSDCm9tko description=More free lessons at: http://www.khanacademy.org/video?v=pMZSDCm9tko/description type=video name=13 Possible values for x thumb=https://i.ytimg.com/vi/rrUW4z5IVcQ/default.jpg URL=http://www.youtube.com/watch?v=rrUW4z5IVcQ description=More free lessons at: http://www.khanacademy.org/video?v=rrUW4z5IVcQ/description type=video name=16 Possible values for t thumb=https://i.ytimg.com/vi/zOrkcZ1dlHk/default.jpg URL=http://www.youtube.com/watch?v=zOrkcZ1dlHk description=More free lessons at: http://www.khanacademy.org/video?v=zOrkcZ1dlHk/description type=video name=12 Missing angle alternate solution thumb=https://i.ytimg.com/vi/7pqZj-83BuI/default.jpg URL=http://www.youtube.com/watch?v=7pqZj-83BuI description=More free lessons at: http://www.khanacademy.org/video?v=7pqZj-83BuI/description type=video name=3 Solving simple equation thumb=https://i.ytimg.com/vi/AOOKe2ODlWM/default.jpg URL=http://www.youtube.com/watch?v=AOOKe2ODlWM description=More free lessons at: http://www.khanacademy.org/video?v=AOOKe2ODlWM/description type=video name=17 Product of primes near 50 thumb=https://i.ytimg.com/vi/EKLGgTwyNfU/default.jpg URL=http://www.youtube.com/watch?v=EKLGgTwyNfU description=More free lessons at: http://www.khanacademy.org/video?v=EKLGgTwyNfU/description type=video name=2 Solving for mk thumb=https://i.ytimg.com/vi/HSWheVsykiA/default.jpg URL=http://www.youtube.com/watch?v=HSWheVsykiA description=More free lessons at: http://www.khanacademy.org/video?v=HSWheVsykiA/description type=video name=6 Possible median value thumb=https://i.ytimg.com/vi/KcFpkpHouPw/default.jpg URL=http://www.youtube.com/watch?v=KcFpkpHouPw description=More free lessons at: http://www.khanacademy.org/video?v=KcFpkpHouPw/description type=video name=15 Equation of line thumb=https://i.ytimg.com/vi/Nwh4MUie74E/default.jpg URL=http://www.youtube.com/watch?v=Nwh4MUie74E description=More free lessons at: http://www.khanacademy.org/video?v=Nwh4MUie74E/description type=video name=12 Missing angle thumb=https://i.ytimg.com/vi/SyFpQbnkg_c/default.jpg URL=http://www.youtube.com/watch?v=SyFpQbnkg_c description=More free lessons at: http://www.khanacademy.org/video?v=SyFpQbnkg_c/description type=video name=1 Running distance thumb=https://i.ytimg.com/vi/fd1eLcFCxlE/default.jpg URL=http://www.youtube.com/watch?v=fd1eLcFCxlE description=More free lessons at: http://www.khanacademy.org/video?v=fd1eLcFCxlE/description type=video name=9 Similar triangles thumb=https://i.ytimg.com/vi/kgsiYzcosDY/default.jpg URL=http://www.youtube.com/watch?v=kgsiYzcosDY description=More free lessons at: http://www.khanacademy.org/video?v=kgsiYzcosDY/description type=video name=14 Small arc length thumb=https://i.ytimg.com/vi/o8fYEZdTpEE/default.jpg URL=http://www.youtube.com/watch?v=o8fYEZdTpEE description=More free lessons at: http://www.khanacademy.org/video?v=o8fYEZdTpEE/description type=video name=18 Area of rectangle thumb=https://i.ytimg.com/vi/tNZrKDq9Iqc/default.jpg URL=http://www.youtube.com/watch?v=tNZrKDq9Iqc description=More free lessons at: http://www.khanacademy.org/video?v=tNZrKDq9Iqc/description type=video name=Place value example with 42 | Place value (tens and hundreds) | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/-Zlq5tNl94M/default.jpg URL=http://www.youtube.com/watch?v=-Zlq5tNl94M description=Learn to see 42 as 4 tens and 2 ones. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/e/groups-of-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-three-digit-compare/v/comparing-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/v/place-value-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cousin Fal's shape collection | Geometry | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/8xbIS2UkQxI/default.jpg URL=http://www.youtube.com/watch?v=8xbIS2UkQxI description=Learn how to classify shapes based on their number of sides, number of corners, and side-lengths. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-shapes/e/naming-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-geometry-topic/cc-early-math-shapes/v/recognizing-shapes?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-money/v/counting-american-coins?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding 8 + 7 | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/AK0NZITv5Ns/default.jpg URL=http://www.youtube.com/watch?v=AK0NZITv5Ns description=Learn how to add 8 + 7 by making a group of ten. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/e/addition_2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/v/adding-3-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/v/adding-within-20?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal talks to CEO of the College Board, David Coleman thumb=https://i.ytimg.com/vi/E0d3b7uoxCA/default.jpg URL=http://www.youtube.com/watch?v=E0d3b7uoxCA description=More free lessons at: http://www.khanacademy.org/video?v=E0d3b7uoxCA/description type=video name=Visualizing vector addition examples | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Khzs4k2a-mw/default.jpg URL=http://www.youtube.com/watch?v=Khzs4k2a-mw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/e/graphically-adding-and-subtracting-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/v/subtracting-vectors-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/v/multiplying-vector-by-scalar?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ben Eater eats the numbers | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/LicLl3epJqg/default.jpg URL=http://www.youtube.com/watch?v=LicLl3epJqg description=Learn how to find which numbers are missing in a number grid. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/e/count-from-any-number?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/v/number-grid?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-counting/v/counting-in-order?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting vectors exercise example | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/coDfeoi2zcQ/default.jpg URL=http://www.youtube.com/watch?v=coDfeoi2zcQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/e/graphically-adding-and-subtracting-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/v/adding-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/v/visualizing-vector-addition-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding vectors exercise example | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/-2HwisGonfc/default.jpg URL=http://www.youtube.com/watch?v=-2HwisGonfc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/e/adding_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/v/vector-components-from-initial-and-terminal-points?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/v/intro-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monkeys for the queen thumb=https://i.ytimg.com/vi/0VIi4kxbbqw/default.jpg URL=http://www.youtube.com/watch?v=0VIi4kxbbqw description=Description/description type=video name=Blueberries and cherries thumb=https://i.ytimg.com/vi/2IfWIGby7K0/default.jpg URL=http://www.youtube.com/watch?v=2IfWIGby7K0 description=Description/description type=video name=Subtracting 14 - 6 | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/9McJ3GobPaY/default.jpg URL=http://www.youtube.com/watch?v=9McJ3GobPaY description=Learn how to subtract 14 - 6 by first thinking about subtracting 2 and 4. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-sub-20/e/subtraction_2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-equals-sign/v/equal-sign?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/v/adding-3-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number grid | Counting | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/9XZypM2Z3Ro/default.jpg URL=http://www.youtube.com/watch?v=9XZypM2Z3Ro description=In our introductory video to counting, Sal goes through all the numbers from 0 to 100, so we can start to see some interesting patterns. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/e/count-to-100?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/v/numbers-to-120?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-counting-topic/cc-early-math-numbers-120/v/finding-missing-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pieces of fruit | Basic addition and subtraction | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/ie0waMJxnTs/default.jpg URL=http://www.youtube.com/watch?v=ie0waMJxnTs description=Learn how to add fruit (by putting fruit together) and sutract fruit (by taking fruit away). Examples used are 5+3 and 5-3. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-together-apart/e/put-together?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-making-5-9/v/making-5?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-intro/v/subtraction-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector representations exercise example | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/n8Ic2Oj-zvA/default.jpg URL=http://www.youtube.com/watch?v=n8Ic2Oj-zvA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/e/recognizing-vector-quantities?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/v/classifying-vectors-and-quantities-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=27 Theories of evolution thumb=https://i.ytimg.com/vi/quBogKF8atM/default.jpg URL=http://www.youtube.com/watch?v=quBogKF8atM description=More free lessons at: http://www.khanacademy.org/video?v=quBogKF8atM/description type=video name=Introduction to place value | Place value (tens and hundreds) | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/wx2gI8iwMCA/default.jpg URL=http://www.youtube.com/watch?v=wx2gI8iwMCA description=Learn why we use a "ones place" and a "tens place" when writing numbers. This video uses the number 37 as an example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/e/groups-of-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/v/place-value-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-teens/v/monkeys-for-party?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=29 Toxic chemicals thumb=https://i.ytimg.com/vi/xljS9fFv3EU/default.jpg URL=http://www.youtube.com/watch?v=xljS9fFv3EU description=More free lessons at: http://www.khanacademy.org/video?v=xljS9fFv3EU/description type=video name=Monkeys for a party | Place value (tens and hundreds) | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/zqwVKhQV_2w/default.jpg URL=http://www.youtube.com/watch?v=zqwVKhQV_2w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-teens/e/teen-numbers-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/v/place-value-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-teens/v/teens-and-ten?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=28 Tall structures thumb=https://i.ytimg.com/vi/1K5uvvz9c3M/default.jpg URL=http://www.youtube.com/watch?v=1K5uvvz9c3M description=More free lessons at: http://www.khanacademy.org/video?v=1K5uvvz9c3M/description type=video name=Place value example with 25 | Place value (tens and hundreds) | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/X_PnRFAKbkg/default.jpg URL=http://www.youtube.com/watch?v=X_PnRFAKbkg description=Learn to see 25 as 2 tens and 5 ones. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/e/groups-of-tens?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/v/rep-quantity-with-digits?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/v/place-value-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Classifying vectors and quantities example | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Yp0EhcVBxNU/default.jpg URL=http://www.youtube.com/watch?v=Yp0EhcVBxNU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/e/recognizing-vector-quantities?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/v/multiplying-vector-by-scalar?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/v/vector-representations-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding 7 + 6 | Addition and subtraction within 20 | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/ZgzpTx-s9Zo/default.jpg URL=http://www.youtube.com/watch?v=ZgzpTx-s9Zo description=Learn how to add 7 + 6 using the number line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/e/addition_2?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/v/adding-within-20-example?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-three-digit-compare/v/comparing-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Teens as sums with 10 | Place value (tens and hundreds) | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/ourH3ueWNmA/default.jpg URL=http://www.youtube.com/watch?v=ourH3ueWNmA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-teens/e/teen-numbers-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-teens/v/monkeys-for-party?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-basics/cc-early-math-add-sub-word-problem-within-10/v/subtraction-word-problems-within-10?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring a golden statue | Measurement and data | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/pdleRJd9YNY/default.jpg URL=http://www.youtube.com/watch?v=pdleRJd9YNY description=Measure an object with same-size length units that span it with no gaps or overlaps. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-picture-graphs/e/solving-problems-with-picture-graphs-1?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-picture-graphs/v/picture-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-measure-data-topic/cc-early-math-length-word-problems/v/length-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix equations and systems | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/EC2mgUZyzoA/default.jpg URL=http://www.youtube.com/watch?v=EC2mgUZyzoA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/e/writing-systems-of-equations-as-matrix-equations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/v/solving-matrix-equation?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/singular-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving the matrix vector equation | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/0_DYEFtlCiM/default.jpg URL=http://www.youtube.com/watch?v=0_DYEFtlCiM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/e/writing-systems-of-equations-as-matrix-equations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/reduced_row_echelon/v/matrices-reduced-row-echelon-form-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/v/matrix-equations-systems?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Is matrix multiplication commutative | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/z-SU7P-gIoQ/default.jpg URL=http://www.youtube.com/watch?v=z-SU7P-gIoQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/e/properties-of-matrix-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/v/associative-property-matrix-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/defined-and-undefined-matrix-operations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Associative property of matrix multiplication | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/8Ryfe82DTcM/default.jpg URL=http://www.youtube.com/watch?v=8Ryfe82DTcM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/e/properties-of-matrix-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/v/matrix-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/v/commutative-property-matrix-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent matrix expressions | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/OjF765iVuF8/default.jpg URL=http://www.youtube.com/watch?v=OjF765iVuF8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/e/properties-of-matrix-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/identity-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/v/associative-property-matrix-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalence of matrix products with scalars thumb=https://i.ytimg.com/vi/z-_cqpkacWY/default.jpg URL=http://www.youtube.com/watch?v=z-_cqpkacWY description=Description/description type=video name=Transforming a quadrilateral | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/3tyM_M3FQNM/default.jpg URL=http://www.youtube.com/watch?v=3tyM_M3FQNM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/e/transformation-matrices-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-2x2-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/v/matrix-transformation-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transformation matrix for position vector | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Kh8HKAxdEyw/default.jpg URL=http://www.youtube.com/watch?v=Kh8HKAxdEyw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/e/transformation-matrices-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/v/matrix-transformation-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/identity-zero-matrix-equation?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix transformation on triangle | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/RKBSX-6pKgY/default.jpg URL=http://www.youtube.com/watch?v=RKBSX-6pKgY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/e/transformation-matrices-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/v/matrix-transformation-quadrilateral?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/v/transforming-position-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Representing data with matrices | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/PPOIlLhsT6s/default.jpg URL=http://www.youtube.com/watch?v=PPOIlLhsT6s description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/e/representing-relationships-with-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/scalar-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/introduction-to-the-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing insurance with expected value | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/BveA7JiRGS8/default.jpg URL=http://www.youtube.com/watch?v=BveA7JiRGS8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/e/making-decisions-with-expected-values?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/law-of-large-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/expected-value-wager?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expected value while fishing | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/86nb02Bx_5w/default.jpg URL=http://www.youtube.com/watch?v=86nb02Bx_5w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/e/making-decisions-with-expected-values?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/expected-value-insurance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/expected-value-profit-lottery-ticket?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expected profit from lottery ticket | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/6vlBOHckmzU/default.jpg URL=http://www.youtube.com/watch?v=6vlBOHckmzU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/e/expected-value-with-calculated-probabilities?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/expected-value-wager?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/empirical-data-expected-value?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Getting data from expected value | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/gHpl5UcgRkI/default.jpg URL=http://www.youtube.com/watch?v=gHpl5UcgRkI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/e/expected-value-with-empirical-probabilities?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/expected-value-profit-lottery-ticket?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/term-life-insurance-and-death-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fair way to assign cooking chore thumb=https://i.ytimg.com/vi/od0pjs3gsto/default.jpg URL=http://www.youtube.com/watch?v=od0pjs3gsto description=Description/description type=video name=Picking fairly | Probability and combinatorics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/vst006REeTQ/default.jpg URL=http://www.youtube.com/watch?v=vst006REeTQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/e/using-probability-to-make-fair-decisions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/statistical-questions/v/statistical-questions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/v/idea-behind-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating conditional probability | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/6xPkG2pA-TU/default.jpg URL=http://www.youtube.com/watch?v=6xPkG2pA-TU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/e/multiplying-dependent-probabilities?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/monty-hall-problem?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/analyzing-dependent-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing dependent probability | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/8iKsY8C5VW8/default.jpg URL=http://www.youtube.com/watch?v=8iKsY8C5VW8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/e/multiplying-dependent-probabilities?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/calculating-conditional-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/independent-dependent-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=20 Mississippi River thumb=https://i.ytimg.com/vi/KURufM070oI/default.jpg URL=http://www.youtube.com/watch?v=KURufM070oI description=More free lessons at: http://www.khanacademy.org/video?v=KURufM070oI/description type=video name=25 Shakespearean character thumb=https://i.ytimg.com/vi/-ZS6FI24roY/default.jpg URL=http://www.youtube.com/watch?v=-ZS6FI24roY description=More free lessons at: http://www.khanacademy.org/video?v=-ZS6FI24roY/description type=video name=5 Book costs thumb=https://i.ytimg.com/vi/1_ymCFwbGGY/default.jpg URL=http://www.youtube.com/watch?v=1_ymCFwbGGY description=More free lessons at: http://www.khanacademy.org/video?v=1_ymCFwbGGY/description type=video name=7 Dramatic monologue thumb=https://i.ytimg.com/vi/Aa0l_P0K5fs/default.jpg URL=http://www.youtube.com/watch?v=Aa0l_P0K5fs description=More free lessons at: http://www.khanacademy.org/video?v=Aa0l_P0K5fs/description type=video name=3 Central Park thumb=https://i.ytimg.com/vi/Bv_3hBUTOk4/default.jpg URL=http://www.youtube.com/watch?v=Bv_3hBUTOk4 description=More free lessons at: http://www.khanacademy.org/video?v=Bv_3hBUTOk4/description type=video name=12 Roller coaster thumb=https://i.ytimg.com/vi/Kwk62Xw6YHU/default.jpg URL=http://www.youtube.com/watch?v=Kwk62Xw6YHU description=More free lessons at: http://www.khanacademy.org/video?v=Kwk62Xw6YHU/description type=video name=22 Car headlights thumb=https://i.ytimg.com/vi/PpJMTpTukzE/default.jpg URL=http://www.youtube.com/watch?v=PpJMTpTukzE description=More free lessons at: http://www.khanacademy.org/video?v=PpJMTpTukzE/description type=video name=21 Air pollutants thumb=https://i.ytimg.com/vi/Sbgha6LQLlY/default.jpg URL=http://www.youtube.com/watch?v=Sbgha6LQLlY description=More free lessons at: http://www.khanacademy.org/video?v=Sbgha6LQLlY/description type=video name=23 Greek mythology thumb=https://i.ytimg.com/vi/TNACKWquyys/default.jpg URL=http://www.youtube.com/watch?v=TNACKWquyys description=More free lessons at: http://www.khanacademy.org/video?v=TNACKWquyys/description type=video name=18 Sound of sap thumb=https://i.ytimg.com/vi/UV6mzD2Yc98/default.jpg URL=http://www.youtube.com/watch?v=UV6mzD2Yc98 description=More free lessons at: http://www.khanacademy.org/video?v=UV6mzD2Yc98/description type=video name=8 Romantic poets thumb=https://i.ytimg.com/vi/l5xbFna_j0Q/default.jpg URL=http://www.youtube.com/watch?v=l5xbFna_j0Q description=More free lessons at: http://www.khanacademy.org/video?v=l5xbFna_j0Q/description type=video name=11 Love and marriage thumb=https://i.ytimg.com/vi/pWSq7CGh9tg/default.jpg URL=http://www.youtube.com/watch?v=pWSq7CGh9tg description=More free lessons at: http://www.khanacademy.org/video?v=pWSq7CGh9tg/description type=video name=4 Roaming deer thumb=https://i.ytimg.com/vi/sCHiJVnyo4g/default.jpg URL=http://www.youtube.com/watch?v=sCHiJVnyo4g description=More free lessons at: http://www.khanacademy.org/video?v=sCHiJVnyo4g/description type=video name=24 Museum funding thumb=https://i.ytimg.com/vi/v5Oz9kVptCY/default.jpg URL=http://www.youtube.com/watch?v=v5Oz9kVptCY description=More free lessons at: http://www.khanacademy.org/video?v=v5Oz9kVptCY/description type=video name=13 Inflation rate thumb=https://i.ytimg.com/vi/wgnJevkTEdw/default.jpg URL=http://www.youtube.com/watch?v=wgnJevkTEdw description=More free lessons at: http://www.khanacademy.org/video?v=wgnJevkTEdw/description type=video name=1 Working at convenience store thumb=https://i.ytimg.com/vi/5OYIXxNz6Xk/default.jpg URL=http://www.youtube.com/watch?v=5OYIXxNz6Xk description=More free lessons at: http://www.khanacademy.org/video?v=5OYIXxNz6Xk/description type=video name=19 Selling stock thumb=https://i.ytimg.com/vi/CGOIJdBXQno/default.jpg URL=http://www.youtube.com/watch?v=CGOIJdBXQno description=More free lessons at: http://www.khanacademy.org/video?v=CGOIJdBXQno/description type=video name=2 Course reviews thumb=https://i.ytimg.com/vi/DTF2qg2McwY/default.jpg URL=http://www.youtube.com/watch?v=DTF2qg2McwY description=More free lessons at: http://www.khanacademy.org/video?v=DTF2qg2McwY/description type=video name=6 Sea Islands thumb=https://i.ytimg.com/vi/IHEPNJJlGT4/default.jpg URL=http://www.youtube.com/watch?v=IHEPNJJlGT4 description=More free lessons at: http://www.khanacademy.org/video?v=IHEPNJJlGT4/description type=video name=14 Apparel manufacturers thumb=https://i.ytimg.com/vi/QnWQezGy1Tc/default.jpg URL=http://www.youtube.com/watch?v=QnWQezGy1Tc description=More free lessons at: http://www.khanacademy.org/video?v=QnWQezGy1Tc/description type=video name=16 Legislators thumb=https://i.ytimg.com/vi/awGM1UAok_8/default.jpg URL=http://www.youtube.com/watch?v=awGM1UAok_8 description=More free lessons at: http://www.khanacademy.org/video?v=awGM1UAok_8/description type=video name=9 Constitutional Convention thumb=https://i.ytimg.com/vi/gh_3hch2YNM/default.jpg URL=http://www.youtube.com/watch?v=gh_3hch2YNM description=More free lessons at: http://www.khanacademy.org/video?v=gh_3hch2YNM/description type=video name=Treating units algebraically and dimensional analysis | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/hIAdCTNi1S8/default.jpg URL=http://www.youtube.com/watch?v=hIAdCTNi1S8 description=Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/figuring-out-units-from-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/unit-conversion-with-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=15 Storing bread thumb=https://i.ytimg.com/vi/iRMLQC_4pqw/default.jpg URL=http://www.youtube.com/watch?v=iRMLQC_4pqw description=More free lessons at: http://www.khanacademy.org/video?v=iRMLQC_4pqw/description type=video name=10 Oil imports thumb=https://i.ytimg.com/vi/oapNz_NNGh4/default.jpg URL=http://www.youtube.com/watch?v=oapNz_NNGh4 description=More free lessons at: http://www.khanacademy.org/video?v=oapNz_NNGh4/description type=video name=17 Nobel prize thumb=https://i.ytimg.com/vi/p3fdeXgErns/default.jpg URL=http://www.youtube.com/watch?v=p3fdeXgErns description=More free lessons at: http://www.khanacademy.org/video?v=p3fdeXgErns/description type=video name=Esther counts to 100 thumb=https://i.ytimg.com/vi/4C5CdwsUnLw/default.jpg URL=http://www.youtube.com/watch?v=4C5CdwsUnLw description=Description/description type=video name=5 Home colors thumb=https://i.ytimg.com/vi/MOoGlIpNLkM/default.jpg URL=http://www.youtube.com/watch?v=MOoGlIpNLkM description=More free lessons at: http://www.khanacademy.org/video?v=MOoGlIpNLkM/description type=video name=4 Economists thumb=https://i.ytimg.com/vi/arWBWBfNMB8/default.jpg URL=http://www.youtube.com/watch?v=arWBWBfNMB8 description=More free lessons at: http://www.khanacademy.org/video?v=arWBWBfNMB8/description type=video name=3 Camouflage thumb=https://i.ytimg.com/vi/FBn1RlGfdzg/default.jpg URL=http://www.youtube.com/watch?v=FBn1RlGfdzg description=More free lessons at: http://www.khanacademy.org/video?v=FBn1RlGfdzg/description type=video name=2 Defying oppression thumb=https://i.ytimg.com/vi/rai9hJOGJLE/default.jpg URL=http://www.youtube.com/watch?v=rai9hJOGJLE description=More free lessons at: http://www.khanacademy.org/video?v=rai9hJOGJLE/description type=video name=1 Private universities thumb=https://i.ytimg.com/vi/Jts_mdQmbUg/default.jpg URL=http://www.youtube.com/watch?v=Jts_mdQmbUg description=More free lessons at: http://www.khanacademy.org/video?v=Jts_mdQmbUg/description type=video name=Analyzing event probability for independence | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/R-NeYKSEqns/default.jpg URL=http://www.youtube.com/watch?v=R-NeYKSEqns description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/e/identifying-dependent-and-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/analyzing-dependent-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/independent-events-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing sample spaces thumb=https://i.ytimg.com/vi/JfjkpZFMU_8/default.jpg URL=http://www.youtube.com/watch?v=JfjkpZFMU_8 description=Description/description type=video name=Analyzing sample space for roll of dice thumb=https://i.ytimg.com/vi/6--4MxDXf14/default.jpg URL=http://www.youtube.com/watch?v=6--4MxDXf14 description=Description/description type=video name=Analyzing trends in categorical data | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/TXGhMDbbnzQ/default.jpg URL=http://www.youtube.com/watch?v=TXGhMDbbnzQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/e/trends-in-categorical-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/v/frequency-table-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/v/video-games-and-violence-bivariate-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Filling out frequency table for independent events | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/TQJQeTpH_lw/default.jpg URL=http://www.youtube.com/watch?v=TQJQeTpH_lw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/e/trends-in-categorical-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/statistics-intro-mean-median-and-mode?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/categorical-data/v/analyzing-trends-categorical-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Data in two way frequency tables thumb=https://i.ytimg.com/vi/YpnGVDAEZ9c/default.jpg URL=http://www.youtube.com/watch?v=YpnGVDAEZ9c description=Description/description type=video name=Comparing means of distributions | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/pPnxPrhf6Ww/default.jpg URL=http://www.youtube.com/watch?v=pPnxPrhf6Ww description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/e/interpreting-and-comparing-data-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/comparing-means-and-medians?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/exploring-mean-and-median-module?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Means and medians of different distributions | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/eLyLbaXfJXo/default.jpg URL=http://www.youtube.com/watch?v=eLyLbaXfJXo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/e/interpreting-and-comparing-data-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/statistics-sample-vs-population-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/comparing-distribution-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistical significance of experiment | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/jLFeqQxGtOc/default.jpg URL=http://www.youtube.com/watch?v=jLFeqQxGtOc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test/e/hypothesis-testing-in-experiments?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test/v/statistical-significance-on-bus-speeds?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test/v/simple-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hypothesis testing for new cholesterol test thumb=https://i.ytimg.com/vi/ZViHTo2dXOQ/default.jpg URL=http://www.youtube.com/watch?v=ZViHTo2dXOQ description=Description More free lessons at: http://www.khanacademy.org/video?v=ZViHTo2dXOQ/description type=video name=Appropriate statistical study example | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/RQPC_rUvHas/default.jpg URL=http://www.youtube.com/watch?v=RQPC_rUvHas description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/e/types-of-statistical-studies?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/hypothesis-test/v/simple-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/v/correlation-and-causality?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Types of statistical studies | Statistical studies | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/z-Qi4w6Xkuc/default.jpg URL=http://www.youtube.com/watch?v=z-Qi4w6Xkuc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/e/types-of-statistical-studies?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/v/correlation-and-causality?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/statistical-questions/v/reasonable-samples?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Day length in Alaska | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/MJBjGnR6vlk/default.jpg URL=http://www.youtube.com/watch?v=MJBjGnR6vlk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/e/modeling-with-periodic-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/long_live_tau/v/tau-versus-pi?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/modeling-with-shifted-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Three way tug of war vectors | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/KNklNvGof8o/default.jpg URL=http://www.youtube.com/watch?v=KNklNvGof8o description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/vector-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/vector-component-in-direction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/adding-displacement-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Force contribution while pushing box | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/9A8wM1UMLyo/default.jpg URL=http://www.youtube.com/watch?v=9A8wM1UMLyo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/vector-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/introduction-to-the-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/adding-three-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total displacement while hiking | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/cf1-CwrDwrA/default.jpg URL=http://www.youtube.com/watch?v=cf1-CwrDwrA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/vector-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/adding-three-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/mag-vec-sums?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Power series of ln(1+x_) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/znT4W6n3WkI/default.jpg URL=http://www.youtube.com/watch?v=znT4W6n3WkI description=We can represent ln(1+x_) with a power series by representing its derivative as a power series and then integrating that series. You have to admit this is pretty neat. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/e/creating-power-series-from-geometric-series-using-differentiation-and-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/finding-function-from-series-by-integrating?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/finding-power-series-through-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of angle addition formula for cosine | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/0VBQnR2h8XM/default.jpg URL=http://www.youtube.com/watch?v=0VBQnR2h8XM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formula-proofs/e/understanding-angle-addition-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formula-proofs/v/proof-angle-addition-sine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of angle addition formula for sine | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/R0EQg9vgbQw/default.jpg URL=http://www.youtube.com/watch?v=R0EQg9vgbQw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formula-proofs/e/understanding-angle-addition-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formula-proofs/v/proof-angle-addition-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/double-angle-formula-for-cosine-example-c?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sine of non special angle | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/2RbKfRfzD-M/default.jpg URL=http://www.youtube.com/watch?v=2RbKfRfzD-M description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/e/trig_addition_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/cosine-addition-identity-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/cosine-angle-addition-2?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another example using angle addition formula with cosine | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/XGpEHj43kcc/default.jpg URL=http://www.youtube.com/watch?v=XGpEHj43kcc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/e/trig_addition_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/sine-angle-addition-2?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/cosine-angle-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying angle addition formula for sin | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/sI789G6FBb4/default.jpg URL=http://www.youtube.com/watch?v=sI789G6FBb4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/e/trig_addition_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/cosine-angle-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/examples-using-pythagorean-identities-to-simplify-trigonometric-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle addition formula with cosine | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/yV4Xa8Xtmrc/default.jpg URL=http://www.youtube.com/watch?v=yV4Xa8Xtmrc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/e/trig_addition_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/cosine-angle-addition-2?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/sin-angle-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse tan domain and range | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/QGfdhqbilY8/default.jpg URL=http://www.youtube.com/watch?v=QGfdhqbilY8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/understanding-inverse-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-tan-scenario?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/restricting-trig-function-domain?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Restricting domain of trig function to make invertible | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/tCV9VyIIaw0/default.jpg URL=http://www.youtube.com/watch?v=tCV9VyIIaw0 description=Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-tan-domain?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/sine-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse tangent scenario | Unit circle definition of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/MABWdzmZFIQ/default.jpg URL=http://www.youtube.com/watch?v=MABWdzmZFIQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/understanding-inverse-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/angle-sun-with-ground?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-tan-domain?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding trig functions of special angles example | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/3yBYXNW1Nls/default.jpg URL=http://www.youtube.com/watch?v=3yBYXNW1Nls description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/trig-functions-special-angles/e/trigonometric-functions-of-special-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arcsin?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/trig-functions-special-angles/v/solving-triangle-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving triangle in unit circle | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/KoYZErFpZ5Q/default.jpg URL=http://www.youtube.com/watch?v=KoYZErFpZ5Q description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/trig-functions-special-angles/e/trigonometric-functions-of-special-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/trig-functions-special-angles/v/trig-functions-special-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/matching-ratios-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating new function from composition | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/_b-2rZpX5z4/default.jpg URL=http://www.youtube.com/watch?v=_b-2rZpX5z4 description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/evaluating-composite-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/function-composition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to function composition | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/wUNWjd4bMmw/default.jpg URL=http://www.youtube.com/watch?v=wUNWjd4bMmw description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/new-function-from-composition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling with function composition | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/LG6g7gxupHg/default.jpg URL=http://www.youtube.com/watch?v=LG6g7gxupHg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/e/modeling-with-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/introduction-to-function-inverses?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/evaluating-composite-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Restricting function domain to make invertible thumb=https://i.ytimg.com/vi/Wu6T4MVfZYI/default.jpg URL=http://www.youtube.com/watch?v=Wu6T4MVfZYI description=Description More free lessons at: http://www.khanacademy.org/video?v=Wu6T4MVfZYI/description type=video name=Solving equation involving function and inverse thumb=https://i.ytimg.com/vi/dHqwANL9IF4/default.jpg URL=http://www.youtube.com/watch?v=dHqwANL9IF4 description=Description More free lessons at: http://www.khanacademy.org/video?v=dHqwANL9IF4/description type=video name=Solving exponential equation with logarithm | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/R443Db-wJ5o/default.jpg URL=http://www.youtube.com/watch?v=R443Db-wJ5o description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/plotting-exponential-logarithm?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/logarithm-exponential-deductions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deducing with logarithmic and exponential form | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Iz6IVf8frjw/default.jpg URL=http://www.youtube.com/watch?v=Iz6IVf8frjw description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/exponential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/exponential-to-logarithmic-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plotting points of logarithmic function | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/DhW9pz5Vfwo/default.jpg URL=http://www.youtube.com/watch?v=DhW9pz5Vfwo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/e/understanding-logs-as-inverse-exponentials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/graphing-logarithmic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/exponential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing in logarithmic and exponential form | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Obch1OP5QyA/default.jpg URL=http://www.youtube.com/watch?v=Obch1OP5QyA description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/logarithm-exponential-deductions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/fancier-logarithm-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Function invertibility thumb=https://i.ytimg.com/vi/mPQCHmOxGlY/default.jpg URL=http://www.youtube.com/watch?v=mPQCHmOxGlY description=Description More free lessons at: http://www.khanacademy.org/video?v=mPQCHmOxGlY/description type=video name=Horizontal and vertical asymptotes of function | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/fvC0dm2wzIo/default.jpg URL=http://www.youtube.com/watch?v=fvC0dm2wzIo description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/v/example-rational-functions-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/solving-rational-equations/v/rational-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matching rational functions to their graphs | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/onmNaDrxwmo/default.jpg URL=http://www.youtube.com/watch?v=onmNaDrxwmo description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/v/another-rational-function-graph-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/v/horizontal-vertical-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining coefficient in binomial expansion | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ojFuf9RYmzI/default.jpg URL=http://www.youtube.com/watch?v=ojFuf9RYmzI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/e/binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem-and-combinatorics-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/pascals-triangle-binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuitive connection between binomial expansion and combinatorics | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/_hrN4rVCOfI/default.jpg URL=http://www.youtube.com/watch?v=_hrN4rVCOfI description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/coefficient-in-binomial-expansion?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Connecting Pascal's triangle to binomial combinatorics | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/x-N76NrMDNE/default.jpg URL=http://www.youtube.com/watch?v=x-N76NrMDNE description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-expansion-algorithm?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem-and-combinatorics-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algorithm for mentally computing binomial expansion coefficients | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/2IFItASxDVo/default.jpg URL=http://www.youtube.com/watch?v=2IFItASxDVo description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pascal's triangle for binomial expansion | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/v9Evg2tBdRk/default.jpg URL=http://www.youtube.com/watch?v=v9Evg2tBdRk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/e/binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/coefficient-in-binomial-expansion?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Binomial theorem | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/iPwrDWQ7hPc/default.jpg URL=http://www.youtube.com/watch?v=iPwrDWQ7hPc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/e/binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/pascals-triangle-binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example factoring sum of squares | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/C3QPTCwpIZo/default.jpg URL=http://www.youtube.com/watch?v=C3QPTCwpIZo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/e/equivalent-forms-of-expressions-with-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/multiplying-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/v/factoring-sums-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Possible number of real roots | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/_HFTRQRpzFM/default.jpg URL=http://www.youtube.com/watch?v=_HFTRQRpzFM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/simplifying-rational-alg/v/simplifying-rational-expressions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fundamental theorem of algebra for quadratic | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/zNxEVaRbdus/default.jpg URL=http://www.youtube.com/watch?v=zNxEVaRbdus description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/possible-real-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-of-algebra-intro?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring sum of squares | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/8TPofjGXDR4/default.jpg URL=http://www.youtube.com/watch?v=8TPofjGXDR4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/e/equivalent-forms-of-expressions-with-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/v/factoring-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-plane-distance-midpoint?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fundamental theorem of algebra | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/d8-LO6FCna0/default.jpg URL=http://www.youtube.com/watch?v=d8-LO6FCna0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/e/the-fundamental-theorem-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-algebra-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Powers of complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/dl_9NC_J6yo/default.jpg URL=http://www.youtube.com/watch?v=dl_9NC_J6yo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/e/powers_of_complex_numbers_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/v/exponential-form-to-find-complex-roots?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/v/complex-number-division?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing complex numbers in polar and exponential form | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/xOa-l_tXgWA/default.jpg URL=http://www.youtube.com/watch?v=xOa-l_tXgWA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/e/multiplying_and_dividing_complex_number_polar_forms?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/v/powers-of-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/polar-form-complex-number?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rectangular to polar form of complex number | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/8RasCV_Lggg/default.jpg URL=http://www.youtube.com/watch?v=8RasCV_Lggg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/e/rectangular-and-polar-forms-of-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/v/complex-number-division?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/complex-number-polar-form-intuition-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to ratios | Ratios, rates, and percentages | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/bIKmw0aTmYc/default.jpg URL=http://www.youtube.com/watch?v=bIKmw0aTmYc description=Learn how to find the ratio between two things. In this video, we find the ratio of apples to oranges. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratios-intro/e/representing-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratios-intro/v/ratios-as-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ratios as fractions | Ratios, rates, and percentages | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/UK-_qEDtvYo/default.jpg URL=http://www.youtube.com/watch?v=UK-_qEDtvYo description=How are fractions and ratios the same? How are they different? Is 2:5 the same as 2/5? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratios-intro/e/representing-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratio-word-problems/v/ratio-word-problem-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-ratios-intro/v/ratios-as-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angela Ahrendts - Former CEO of Burberry | Entrepreneurship | Khan Academy thumb=https://i.ytimg.com/vi/HNP0USRtkIw/default.jpg URL=http://www.youtube.com/watch?v=HNP0USRtkIw description=Angela Ahrendts visits the Khan Academy office in Mountain View, CA on April 30, 2013. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/sean-osullivan?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/scott-cook?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Entrepreneurship on Khan Academy: Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Entrepreneurship channel: https://www.youtube.com/channel/UCHqkkPYpIb9FotyBtLWU7IQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding absolute extrema on a closed interval | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/JXVGPEOQCb8/default.jpg URL=http://www.youtube.com/watch?v=JXVGPEOQCb8 description=Sal finds the absolute maximum value of f(x)=8ln(x)-x_ over the interval [1,4]. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-abs-extrema/e/extreme-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-abs-extrema/v/absolute-extrema-on-entire-domain?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/analyzing-mistakes-when-finding-extrema-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding critical points | Using derivatives to analyze functions | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/MUQfl385Yug/default.jpg URL=http://www.youtube.com/watch?v=MUQfl385Yug description=Sal finds the critical points of f(x)=xe^(-2x_). Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/e/find-critical-points?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/increasing-decreasing-intervals-given-the-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/minima-maxima-and-critical-points?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiating logarithmic functions using log properties | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/R2JsjJyr0ck/default.jpg URL=http://www.youtube.com/watch?v=R2JsjJyr0ck description=By exploiting our knowledge of logarithms, we can make certain derivatives much smoother to compute. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-adv-derivatives-opt-vids/v/proof-of-derivative-of-ex?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/chain-rule-with-triple-composition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic derivative rules: table | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/rOftmuhGLjY/default.jpg URL=http://www.youtube.com/watch?v=rOftmuhGLjY description=Given some values of the derivative of a function f, and the full definition of another function g, find the derivative of 3f(x)+2g(x). Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/e/basic-differentiation-rules?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-power-rule/v/power-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/v/differentiating-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Midpoint and distance on complex plane | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Efoeqb6tC88/default.jpg URL=http://www.youtube.com/watch?v=Efoeqb6tC88 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/e/distance-and-midpoint-on-the-complex-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/v/factoring-sums-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identity and zero matrix equation | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/ikadoCpDNT8/default.jpg URL=http://www.youtube.com/watch?v=ikadoCpDNT8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/e/zero-and-identity-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/transformation-matrix/v/transforming-position-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/zero-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Zero matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/LOf8bfjiLow/default.jpg URL=http://www.youtube.com/watch?v=LOf8bfjiLow description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/e/zero-and-identity-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/identity-zero-matrix-equation?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/identity-matrix-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dimensions of identity matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/l7p1X5pdDoc/default.jpg URL=http://www.youtube.com/watch?v=l7p1X5pdDoc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/e/zero-and-identity-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/zero-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/identity-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identity matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/3cnIa0fYJkY/default.jpg URL=http://www.youtube.com/watch?v=3cnIa0fYJkY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/e/zero-and-identity-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/zero-identity-matrix-tutorial/v/identity-matrix-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/properties-matrix-multiplication/v/matrix-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix multiplication introduction | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/kT4Mp9EdVqs/default.jpg URL=http://www.youtube.com/watch?v=kT4Mp9EdVqs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/e/multiplying_a_matrix_by_a_matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/transpose-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Periodicity of tan example | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/C3HFAyigqoY/default.jpg URL=http://www.youtube.com/watch?v=C3HFAyigqoY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/e/symmetry-and-periodicity-of-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/pythagorean-trig-identity-from-soh-cah-toa?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/trig-angle-rotations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relating trig function through angle rotations | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/h-TPSylHrvE/default.jpg URL=http://www.youtube.com/watch?v=h-TPSylHrvE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/e/symmetry-and-periodicity-of-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/tan-periodicity?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/tan-symmetries-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit circle symmetries for tan | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/k_wJsio68D4/default.jpg URL=http://www.youtube.com/watch?v=k_wJsio68D4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/e/symmetry-and-periodicity-of-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/trig-angle-rotations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/trigonometry-unit-circle-symmetry?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Symmetry of trig values | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/tzQ7arA917E/default.jpg URL=http://www.youtube.com/watch?v=tzQ7arA917E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/e/symmetry-and-periodicity-of-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/tan-symmetries-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/long_live_tau/v/pi-is-still-wrong?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of cosines to determine grade | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Ei54NnQ0FKs/default.jpg URL=http://www.youtube.com/watch?v=Ei54NnQ0FKs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/law_of_cosines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of sines for missing angle | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/IJySBMtFlnQ/default.jpg URL=http://www.youtube.com/watch?v=IJySBMtFlnQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/law_of_sines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-sines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of cosines for star distance | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/6kGi1dvGZNY/default.jpg URL=http://www.youtube.com/watch?v=6kGi1dvGZNY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/law_of_cosines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-sines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines-missing-angle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of sines | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/VjmFKle7xIw/default.jpg URL=http://www.youtube.com/watch?v=VjmFKle7xIw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/law_of_sines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-sines-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnitude of vector sums | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/0t8W4JFpP2M/default.jpg URL=http://www.youtube.com/watch?v=0t8W4JFpP2M description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/adding-vectors-in-magnitude-and-direction-form?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/adding-displacement-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/mag-dir-vec-sums-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Breaking down vectors into components | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/6Kw2nIwWYL0/default.jpg URL=http://www.youtube.com/watch?v=6Kw2nIwWYL0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/adding-vectors-in-magnitude-and-direction-form?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/mag-dir-vec-sums-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/unit-vector-same-direction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnitude and direction of vector sums | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/SjY5UytlTTs/default.jpg URL=http://www.youtube.com/watch?v=SjY5UytlTTs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/adding-vectors-in-magnitude-and-direction-form?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/mag-vec-sums?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/mag-dir-vec-sums?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scaling up a unit vector | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/OFBI_rNDZE0/default.jpg URL=http://www.youtube.com/watch?v=OFBI_rNDZE0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/unit-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/unit-vector-same-direction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/unit-vector-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit vector in same direction | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/mzQQ9n-eoLs/default.jpg URL=http://www.youtube.com/watch?v=mzQQ9n-eoLs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/unit-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/mag-dir-vec-sums?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/scaling-unit-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit vectors | Vectors | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/jCkhbKFZgLk/default.jpg URL=http://www.youtube.com/watch?v=jCkhbKFZgLk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/e/unit-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/scaling-unit-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/rect-form/v/figuring-out-vector-initial-point?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/-T0OKK-R3lA/default.jpg URL=http://www.youtube.com/watch?v=-T0OKK-R3lA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/e/adding_and_subtracting_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-plane-distance-midpoint?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the FAFSA | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/7nKXXKn6jL8/default.jpg URL=http://www.youtube.com/watch?v=7nKXXKn6jL8 description=Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/fafsa_intro?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Introduction to complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/SP-YJe7Vldo/default.jpg URL=http://www.youtube.com/watch?v=SP-YJe7Vldo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/e/the-imaginary-unit-and-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/plotting-complex-numbers-on-the-complex-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/i-as-the-principal-root-of-1-a-little-technical?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding complex numbers and Argand Diagrams | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/0QlJrnRRfW8/default.jpg URL=http://www.youtube.com/watch?v=0QlJrnRRfW8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/e/adding_and_subtracting_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/plotting-complex-numbers-on-the-complex-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple hypothesis testing | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/5D1gV37bKXY/default.jpg URL=http://www.youtube.com/watch?v=5D1gV37bKXY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/e/hypothesis-testing-with-simulations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/v/idea-behind-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/birthday-probability-problem?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a probability distribution for random variable | Khan Academy thumb=https://i.ytimg.com/vi/cqK3uRoPtk0/default.jpg URL=http://www.youtube.com/watch?v=cqK3uRoPtk0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/e/constructing-probability-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/probability-density-functions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/discrete-and-continuous-random-variables?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling temperature through the day | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/RX0DY9eRp8g/default.jpg URL=http://www.youtube.com/watch?v=RX0DY9eRp8g description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/e/modeling-with-periodic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/modeling-periodic-function-with-shift?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/inverse-trig-with-model?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matching ratios to trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/WffVdYETdng/default.jpg URL=http://www.youtube.com/watch?v=WffVdYETdng description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/e/unit-circle-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/trig-functions-special-angles/v/solving-triangle-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/unit-circle-manipulative?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Benjamin Franklin and Poor Richard's Almanac | US History | Khan Academy thumb=https://i.ytimg.com/vi/8jV1SwpZ-W4/default.jpg URL=http://www.youtube.com/watch?v=8jV1SwpZ-W4 description=In this video, Sal and Aspen Institute President and CEO Walter Isaacson discuss Benjamin Franklin's Poor Richard's Almanac. Created by Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/franklin-civic-leader?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/benjamin-franklin-writer?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=An introduction to Benjamin Franklin | US History | Khan Academy thumb=https://i.ytimg.com/vi/e23FYcmAG5k/default.jpg URL=http://www.youtube.com/watch?v=e23FYcmAG5k description=In this video, Sal and Aspen Institute President and CEO Walter Isaacson present an overview of Benjamin Franklin's life. Created by Aspen Institute and Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/benjamin-franklin-writer?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/historians-toolkit/apush-practice/v/ap-us-history-long-essay-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Benjamin Franklin becomes a writer | US History | Khan Academy thumb=https://i.ytimg.com/vi/yA-NYmO8dDk/default.jpg URL=http://www.youtube.com/watch?v=yA-NYmO8dDk description=In this video, Sal and Aspen Institute President and CEO Walter Isaacson discuss Benjamin Franklin the writer. Created by Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/poor-richard?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/franklin-overview?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Benjamin Franklin the inventor | US History | Khan Academy thumb=https://i.ytimg.com/vi/uGjR338bHPs/default.jpg URL=http://www.youtube.com/watch?v=uGjR338bHPs description=In this video, Sal and Aspen Institute President and CEO Walter Isaacson discuss Benjamin Franklin as an inventor. Created by Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/franklin-diplomat?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/franklin-civic-leader?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Benjamin Franklin as diplomat | US History | Khan Academy thumb=https://i.ytimg.com/vi/Ewithks6nD4/default.jpg URL=http://www.youtube.com/watch?v=Ewithks6nD4 description=In this video, Sal and Aspen Institute President and CEO Walter Isaacson discuss Benjamin Franklin as an inventor. Created by Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/franklin-takeaways?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/benjamin-franklin-inventor?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Benjamin Franklin the civic leader | US History | Khan Academy thumb=https://i.ytimg.com/vi/h05d7Mbd3UI/default.jpg URL=http://www.youtube.com/watch?v=h05d7Mbd3UI description=In this video, Sal and Aspen Institute President and CEO Walter Isaacson discuss Benjamin Franklin as a civic leader. Created by Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/benjamin-franklin-inventor?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/poor-richard?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Takeaways from Benjamin Franklin's life thumb=https://i.ytimg.com/vi/vbAbCp9elFU/default.jpg URL=http://www.youtube.com/watch?v=vbAbCp9elFU description=More free lessons at: http://www.khanacademy.org/video?v=vbAbCp9elFU/description type=video name=Solution set to sin equation | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/NC7iWEQ9Kug/default.jpg URL=http://www.youtube.com/watch?v=NC7iWEQ9Kug description=Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/restricting-trig-function-domain?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/example-calculator-to-evaluate-inverse-trig-function?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying inverse trig function with model | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/2pwnr_soZEU/default.jpg URL=http://www.youtube.com/watch?v=2pwnr_soZEU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/e/modeling-with-periodic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/modeling-with-shifted-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/modeling-temperature-fluxtuations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling annual temperature variation with trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/mVlCXkht6hg/default.jpg URL=http://www.youtube.com/watch?v=mVlCXkht6hg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/inverse-trig-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-with-model?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/angle-sun-with-ground?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle of sun with the ground based on shadow | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Xu1lBwJw1OU/default.jpg URL=http://www.youtube.com/watch?v=Xu1lBwJw1OU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/inverse-trig-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/modeling-temperature-fluxtuations?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-tan-scenario?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/K_PiPfYxtao/default.jpg URL=http://www.youtube.com/watch?v=K_PiPfYxtao description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/graphing-logarithmic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/solve-exponentials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of logarithmic functions | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/LqyA96oYtwE/default.jpg URL=http://www.youtube.com/watch?v=LqyA96oYtwE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/e/graphs-of-exponentials-and-logarithms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/vi-and-sal-explore-how-we-think-about-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/matching-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matching functions to their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/EwEbZI57P1o/default.jpg URL=http://www.youtube.com/watch?v=EwEbZI57P1o description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/logarithmic-function-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/graphing-logarithmic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding linear and exponential models | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/8OHEgD6YMBw/default.jpg URL=http://www.youtube.com/watch?v=8OHEgD6YMBw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/e/understanding-linear-and-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/constructing-an-exponential-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/quadratic-inequality-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving exponential equation | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/7Ig6kVZaWoU/default.jpg URL=http://www.youtube.com/watch?v=7Ig6kVZaWoU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/e/using-logarithms-to-solve-exponential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/comparing-exponential-logarithmic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/modeling-ticket-fines-with-exponential-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing growth of exponential & quadratic models | Algebra I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/EuwKjpUpkhs/default.jpg URL=http://www.youtube.com/watch?v=EuwKjpUpkhs description=Sal discusses two functions that model the shipment rate of cars. One function is quadratic and the other is exponential. Which one will eventually exceed the other? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/introduction-to-polynomials/v/terms-coefficients-and-exponents-in-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/comparing-exponential-and-polynomial-functions/v/linear-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Extreme value theorem | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/bZYTDst1MOo/default.jpg URL=http://www.youtube.com/watch?v=bZYTDst1MOo description=The Extreme Value Theorem states that if a function in continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval. This makes sense: when a function is continuous you can draw its graph without lifting the pencil, so you must hit a high point and a low point on that interval. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/conditions-for-ivt-and-evt-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/intermediate-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to minimum and maximum points | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Hoyv3-BMAGc/default.jpg URL=http://www.youtube.com/watch?v=Hoyv3-BMAGc description=Sal explains all about minimum and maximum points, both absolute and relative. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/maximum-and-minimum-points/e/recognize-maxima-and-minima?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/maximum-and-minimum-points/v/identifying-relative-and-absolute-maxima-and-minima?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/piecewise-functions/v/domain-and-range-for-piecewise-linear-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying relative minimum and maximum values thumb=https://i.ytimg.com/vi/LSIgi9krswU/default.jpg URL=http://www.youtube.com/watch?v=LSIgi9krswU description=More free lessons at: http://www.khanacademy.org/video?v=LSIgi9krswU/description type=video name=Mean value theorem application | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/InrLtU3k3Y8/default.jpg URL=http://www.youtube.com/watch?v=InrLtU3k3Y8 description=Even if a cop never spots you while you are speeding, he can still infer when you must have been speeding... Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-lhopitals-rule/v/introduction-to-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/mean-value-theorem-example-square-root?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mean value theorem example: polynomial | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/S_YIUXy-WFM/default.jpg URL=http://www.youtube.com/watch?v=S_YIUXy-WFM description=Sal finds the number that satisfies the Mean value theorem for f(x)=x_-6x+8 over the interval [2,5]. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/e/mean-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/mean-value-theorem-example-square-root?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/conditions-for-mvt-table?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Maximizing function at value thumb=https://i.ytimg.com/vi/EXLVMGSDQbI/default.jpg URL=http://www.youtube.com/watch?v=EXLVMGSDQbI description=More free lessons at: http://www.khanacademy.org/video?v=EXLVMGSDQbI/description type=video name=Mean value theorem | Existence theorems | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/6hri9k_2R8o/default.jpg URL=http://www.youtube.com/watch?v=6hri9k_2R8o description=The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b]. In other words, the graph has a tangent somewhere in (a,b) that is parallel to the secant line over [a,b]. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-mvt/v/conditions-for-mvt-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-existence-theorems/ab-ivt-evt/v/intermediate-value-theorem-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB ?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electrodes and voltage of Galvanic cell | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/m0SFJt_0v28/default.jpg URL=http://www.youtube.com/watch?v=m0SFJt_0v28 description="Identifying the anode and cathode in a galvanic cell, and calculating the voltage using standard electrode potentials. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/batter-galvanic-voltaic-cell/v/shorthand-notation-for-galvanicvoltaic-cells?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/oxidation-reduction/batter-galvanic-voltaic-cell/v/galvanic-cell-voltaic-cell?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to galvanic/voltaic cells | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/9Xncz_mMc5g/default.jpg URL=http://www.youtube.com/watch?v=9Xncz_mMc5g description="How to use a redox reaction to construct a galvanic/voltaic cell to produce a flow of current.. Shows the flow of electrons and ions, and explains the role of the salt bridge. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/batter-galvanic-voltaic-cell/v/electrodes-and-voltage-of-galvanic-cell?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/oxidation-reduction/batter-galvanic-voltaic-cell/v/redox-reaction-from-dissolving-zinc-in-copper-sulfate?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Redox reaction from dissolving zinc in copper sulfate | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/wVMe8ZmCZo0/default.jpg URL=http://www.youtube.com/watch?v=wVMe8ZmCZo0 description=What happens when you add zinc to a solution of copper sulfate? Identifying the half reactions to see what got oxidized and reduced. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/batter-galvanic-voltaic-cell/v/galvanic-cell-voltaic-cell?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/redox-titration?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unusual oxygen oxidation states | Redox reactions and electrochemistry | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/R2EtXOoIU-E/default.jpg URL=http://www.youtube.com/watch?v=R2EtXOoIU-E description=Determining oxidation numbers in hydrogen peroxide and oxygen difluoride. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/oxidation-reduction-or-redox-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/practice-determining-oxidation-states?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Practice determining oxidation states | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/M7PnxSQedkM/default.jpg URL=http://www.youtube.com/watch?v=M7PnxSQedkM description="Determining oxidation numbers in magnesium oxide and magnesium hydroxide. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/unusual-oxygen-oxidation-states?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/oxidation-state-trends-in-periodic-table?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Oxidation state trends in periodic table | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/CCsNJFsYSGs/default.jpg URL=http://www.youtube.com/watch?v=CCsNJFsYSGs description=Trends in common oxidation states for main group elements. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/practice-determining-oxidation-states?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/introduction-to-oxidation-and-reduction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Oxidation and reduction | Redox reactions and electrochemistry | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/DvYs1HILq1g/default.jpg URL=http://www.youtube.com/watch?v=DvYs1HILq1g description=Introducing oxidation states, oxidation, and reduction. Some tips for remembering oxidation and reduction. Watch the next lesson: https://www.khanacademy.org/science/chemistry/oxidation-reduction/redox-oxidation-reduction/v/oxidation-state-trends-in-periodic-table?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/standard-change-in-free-energy-and-the-equilibrium-constant?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Organelle overview thumb=https://i.ytimg.com/vi/Ogxpuq-qIW0/default.jpg URL=http://www.youtube.com/watch?v=Ogxpuq-qIW0 description=More free lessons at: http://www.khanacademy.org/video?v=Ogxpuq-qIW0/description type=video name=Endoplasmic reticulum and Golgi bodies | Biology | Khan Academy thumb=https://i.ytimg.com/vi/6UqtgH_Zy1Y/default.jpg URL=http://www.youtube.com/watch?v=6UqtgH_Zy1Y description=Structure of the endoplasmic reticulum and Golgi body (Golgi apparatus), and how they function in secretion of proteins from the cell. Watch the next lesson: https://www.khanacademy.org/science/biology/structure-of-a-cell/tour-of-organelles/v/endomembrane-system?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/structure-of-a-cell/prokaryotic-and-eukaryotic-cells/v/prokaryotic-and-eukaryotic-cells?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Nuclei, membranes, ribosomes, eukaryotes and prokaryotes thumb=https://i.ytimg.com/vi/jVSUQmtTk7Y/default.jpg URL=http://www.youtube.com/watch?v=jVSUQmtTk7Y description=More free lessons at: http://www.khanacademy.org/video?v=jVSUQmtTk7Y/description type=video name=Motion problems: when a particle is speeding up | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/SE1ltVuE5yM/default.jpg URL=http://www.youtube.com/watch?v=SE1ltVuE5yM description=The position of a particle moving along the x-axis is given by s(t)=t_-6t_+9t. Sal analyzes it to find the times when the particle is "speeding up.". Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-motion-diff/v/rectilinear-motion-example-maximum-acceleration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/extreme-derivative-word-problem-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applied rate of change: forgetfulness | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WbyODj_OiZU/default.jpg URL=http://www.youtube.com/watch?v=WbyODj_OiZU description=Let's face it, sometimes it feels like we forget much of what we learn. In this example we model that forgetful phenomenon. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-applied-rate-of-change/e/applications-of-differentiation-in-biology--economics--physics--etc?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-applied-rate-of-change/v/derivative-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-analyze-funcs-opt-vids/v/proof-of-special-case-of-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal cost & differential calculus | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Wkjz1LlX1CQ/default.jpg URL=http://www.youtube.com/watch?v=Wkjz1LlX1CQ description=In economics, the idea of marginal cost can be nicely captured with the derivative. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/rates-of-change-between-radius-and-area-of-circle?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-applied-rate-of-change/v/modeling-a-forgetting-curve?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating incremental cost with derivative thumb=https://i.ytimg.com/vi/iVAYOeGmNqo/default.jpg URL=http://www.youtube.com/watch?v=iVAYOeGmNqo description=More free lessons at: http://www.khanacademy.org/video?v=iVAYOeGmNqo/description type=video name=Renting versus Buying a home | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/JNL6f1xkie4/default.jpg URL=http://www.youtube.com/watch?v=JNL6f1xkie4 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-vs-buying-a-home?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-equity-tutorial/v/home-equity-loans?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Is it always better to buy than rent? What if home prices go up dramatically and rents don't? How can we compare home prices to rents to figure out what to do. This older tutorial (low-res, bad handwriting) walks us through this. It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Saltatory conduction in neurons | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/ikFUv-gdNLQ/default.jpg URL=http://www.youtube.com/watch?v=ikFUv-gdNLQ description=Myelin sheaths, nodes of Ranvier, and saltatory conduction in neurons. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/synapse-structure?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/electrotonic-action-potential?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electrotonic and action potentials | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/kY8FEq0teOs/default.jpg URL=http://www.youtube.com/watch?v=kY8FEq0teOs description=Two different types of changes in the membrane potential of a neuron. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/saltatory-conduction-neurons?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/correction-to-sodium-and-potassium-pump-video?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of triple composition | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/pSSqUF_mmtM/default.jpg URL=http://www.youtube.com/watch?v=pSSqUF_mmtM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/e/chain-rule-on-three-functions?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/extreme-derivative-word-problem-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/chain-rule-with-triple-composition?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total distance traveled by a particle | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/HDntI7zfBNs/default.jpg URL=http://www.youtube.com/watch?v=HDntI7zfBNs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/motion-along-line-derivatives/e/applications-of-derivatives--motion-along-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/motion-along-line-derivatives/v/analyzing-particle-movement-based-on-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/v/tangent-line-equation-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing particle movement based on graphs | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/wKPyzrEVqaQ/default.jpg URL=http://www.youtube.com/watch?v=wKPyzrEVqaQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/motion-along-line-derivatives/e/applications-of-derivatives--motion-along-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/motion-along-line-derivatives/v/when-is-a-particle-speeding-up?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/motion-along-line-derivatives/v/total-distance-traveled-by-a-particle?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=When a particle is speeding up thumb=https://i.ytimg.com/vi/h_naqJLvL6I/default.jpg URL=http://www.youtube.com/watch?v=h_naqJLvL6I type=video name=Squeeze theorem or sandwich theorem | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/WvxKwRcHGHg/default.jpg URL=http://www.youtube.com/watch?v=WvxKwRcHGHg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/e/squeeze-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/squeeze-theorem-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/limits-infinity-algebra ?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing fractions example | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/m-pRnFIeoNA/default.jpg URL=http://www.youtube.com/watch?v=m-pRnFIeoNA description=This is a straightforward example of dividing two fractions. We'll make super clear! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/e/dividing_fractions_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/dividing-fractions-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/conceptual-understanding-of-dividing-fractions-by-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying challenging decimals | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/D5fmcpNygQk/default.jpg URL=http://www.youtube.com/watch?v=D5fmcpNygQk description=Sometimes multiplying really small decimals (with all those zeros!) can be a little intimidating. Watch as we show you a handy trick to simplify these problems and solve them. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/e/multiplying_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-completely-to-get-decimal-answer?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/multiplying-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying decimals: place value and reordering | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4IWfJ7-CYfE/default.jpg URL=http://www.youtube.com/watch?v=4IWfJ7-CYfE description=We want you to develop an intuition about how to work with decimals. Understanding how you can rewrite decimals by considering the place value will help you multiply! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/e/multiplying_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/multiplying-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/mulitplyling-decimals-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to multiplying decimals | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/STyoP3rCmb0/default.jpg URL=http://www.youtube.com/watch?v=STyoP3rCmb0 description=Multiplying decimals can be confusing because there's always the question as to where the decimals goes in the answer. We're about to show you so you'll never have to question it again! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/e/multiplying_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/mulitplyling-decimals-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals-old?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Capstone exponent properties example | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_DKe8gHlnEQ/default.jpg URL=http://www.youtube.com/watch?v=_DKe8gHlnEQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/e/properties-of-integer-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/negative-and-positive-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/negative-bases-and-exponents-classification-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Products and exponents raised to an exponent properties | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/SwqOrUWzDY8/default.jpg URL=http://www.youtube.com/watch?v=SwqOrUWzDY8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/e/properties-of-integer-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/negative-bases-and-exponents-classification-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/more-negative-exponent-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative bases and exponents classification example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/5L2a6cuP_4s/default.jpg URL=http://www.youtube.com/watch?v=5L2a6cuP_4s description=Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/capstone-exponent-properties-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/products-and-exponents-raised-to-an-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More negative exponent intuition | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/P3zyEtO6viY/default.jpg URL=http://www.youtube.com/watch?v=P3zyEtO6viY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/e/exponents_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/products-and-exponents-raised-to-an-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/thinking-more-about-negative-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thinking more about negative exponents | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Tx7Cwn5pgQo/default.jpg URL=http://www.youtube.com/watch?v=Tx7Cwn5pgQo description=Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/more-negative-exponent-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/introduction-to-negative-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to negative exponents | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/PYd99ItlLEc/default.jpg URL=http://www.youtube.com/watch?v=PYd99ItlLEc description=Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/thinking-more-about-negative-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-quadratic-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How far can you see from a plane window thumb=https://i.ytimg.com/vi/p9hl-Spzk_Y/default.jpg URL=http://www.youtube.com/watch?v=p9hl-Spzk_Y description=More free lessons at: http://www.khanacademy.org/video?v=p9hl-Spzk_Y/description type=video name=Constructing a geometric series for new users | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/aIjzkiijGnA/default.jpg URL=http://www.youtube.com/watch?v=aIjzkiijGnA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/e/geometric-series--1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series-sum-to-figure-out-mortgage-payments?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to rational and irrational numbers | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/cLP7INqs3JM/default.jpg URL=http://www.youtube.com/watch?v=cLP7INqs3JM description=Learn what rational and irrational numbers are and how to tell them apart. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/e/recognizing-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/proof-that-square-root-of-2-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof that there is an irrational number between any two rational numbers | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/hxqo_DiL3pw/default.jpg URL=http://www.youtube.com/watch?v=hxqo_DiL3pw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/e/recognizing-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/recognizing-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/proof-that-square-root-of-prime-number-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum and product of rational numbers | Rational and irrational numbers | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/HKUJkMQsGkM/default.jpg URL=http://www.youtube.com/watch?v=HKUJkMQsGkM description=Learn that the sum or the product of two rational numbers is always a rational number. Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/proof-that-rational-times-irrational-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/recognizing-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof that square root of prime number is irrational | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/W-Nio466Ek4/default.jpg URL=http://www.youtube.com/watch?v=W-Nio466Ek4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/e/recognizing-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/proof-that-there-is-an-irrational-number-between-any-two-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/proof-that-square-root-of-2-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof that square root of 2 is irrational | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/mX91_3GQqLY/default.jpg URL=http://www.youtube.com/watch?v=mX91_3GQqLY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/e/recognizing-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/proof-that-square-root-of-prime-number-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/introduction-to-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing rational and irrational expressions example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/hTJgK-wZMcE/default.jpg URL=http://www.youtube.com/watch?v=hTJgK-wZMcE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/e/recognizing-rational-and-irrational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI This is the last video in our algebra I subject! Now move on to our first video in geometry: https://www.khanacademy.org/math/geometry/intro_euclid/v/euclid-as-the-father-of-geometry?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/proof-that-sum-of-rational-and-irrational-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating irrational number exercise example | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Jn5XIY8eqME/default.jpg URL=http://www.youtube.com/watch?v=Jn5XIY8eqME description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rational-irrational-numbers/e/approximating-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/introduction-to-order-of-operations?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/rational-irrational-numbers/v/recognizing-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof that rational times irrational is irrational | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/KT32CsdEZEY/default.jpg URL=http://www.youtube.com/watch?v=KT32CsdEZEY description=Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/proof-that-sum-of-rational-and-irrational-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/sum-and-product-of-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof that sum of rational and irrational is irrational | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/pPM72fPwIjw/default.jpg URL=http://www.youtube.com/watch?v=pPM72fPwIjw description=Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/recognizing-rational-and-irrational-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/proof-that-rational-times-irrational-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matching radical functions with graphs exercise example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Uteoh0PtWwI/default.jpg URL=http://www.youtube.com/watch?v=Uteoh0PtWwI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/e/graphs-of-radical-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/when-a-function-is-positive-or-negative?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/radical-functions-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equations for radical functions example | Functions and their graphs | Algebra II | Khan Academ thumb=https://i.ytimg.com/vi/9UBZchwb2KI/default.jpg URL=http://www.youtube.com/watch?v=9UBZchwb2KI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/e/graphs-of-radical-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/radical-function-graphs-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/flipping-shifting-radical-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Flipping and shifting radical functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/t5ry2rasWvI/default.jpg URL=http://www.youtube.com/watch?v=t5ry2rasWvI description=Graphs of Square Root Functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/e/graphs-of-radical-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/radical-functions-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/graphs-of-square-root-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value graphing exercise example | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/6TxlqANDjKM/default.jpg URL=http://www.youtube.com/watch?v=6TxlqANDjKM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/e/graphs-of-absolute-value-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/piecewise-function-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/graphs-of-absolute-value-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of absolute value functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/1OtzfP8fCNU/default.jpg URL=http://www.youtube.com/watch?v=1OtzfP8fCNU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/e/graphs-of-absolute-value-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/absolute-value-graphing-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/piecewise-functions-tutorial/v/what-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial end behavior exercise example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Yd2YBLQUCEc/default.jpg URL=http://www.youtube.com/watch?v=Yd2YBLQUCEc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/e/graphs-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/another-polynomial-end-behavior-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another polynomial end behavior example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/FZXSc26Sajo/default.jpg URL=http://www.youtube.com/watch?v=FZXSc26Sajo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/e/graphs-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial end behavior example | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/03Y76Q7tlSw/default.jpg URL=http://www.youtube.com/watch?v=03Y76Q7tlSw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/e/graphs-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/another-polynomial-end-behavior-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial end behavior | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/tZKzaF28sOk/default.jpg URL=http://www.youtube.com/watch?v=tZKzaF28sOk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/e/graphs-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/identifying-graph-based-on-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using the Pythagorean trig identity | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/soIt2TwV6Xk/default.jpg URL=http://www.youtube.com/watch?v=soIt2TwV6Xk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/e/circles-and-pythagorean-identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/examples-using-pythagorean-identities-to-simplify-trigonometric-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/pythagorean-trig-identity-from-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean trig identity from unit circle | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/n0DLSIOYBsQ/default.jpg URL=http://www.youtube.com/watch?v=n0DLSIOYBsQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/e/circles-and-pythagorean-identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/using-the-pythagorean-trig-identity?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/pythagorean-trig-identity-from-soh-cah-toa?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean trig identity from soh cah toa | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/HnDvUaVjQ1I/default.jpg URL=http://www.youtube.com/watch?v=HnDvUaVjQ1I description=Sal introduces and proves the identity (sin(θ))^2+(cos(θ))^2=1, which arises from the Pythagorean theorem! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/e/circles-and-pythagorean-identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/pythagorean-trig-identity-from-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/tan-periodicity?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decay of cesium 137 example | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/polop-89aIA/default.jpg URL=http://www.youtube.com/watch?v=polop-89aIA description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/modeling-ticket-fines-with-exponential-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/word-problem-solving-exponential-growth-and-decay?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing linear and exponential functions from data | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Qst1UVtq8pE/default.jpg URL=http://www.youtube.com/watch?v=Qst1UVtq8pE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/e/constructing-linear-and-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/constructing-linear-and-exponential-functions-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/comparing-exponentials-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to complex numbers | Imaginary and complex numbers | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/A_ESfuN1Pkg/default.jpg URL=http://www.youtube.com/watch?v=A_ESfuN1Pkg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/e/the-imaginary-unit-and-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/v/plotting-complex-numbers-on-the-complex-plane?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/complex-numbers-a2/imaginary_unit_i-a2/v/i-as-the-principal-root-of-1-a-little-technical?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadratic inequality example 2 | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/YS_3XRj74oo/default.jpg URL=http://www.youtube.com/watch?v=YS_3XRj74oo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/e/modeling-with-one-variable-equations-and-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/why-dividing-by-zero-is-undefined?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/quadratic-inequality-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadratic inequality example | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/OP91XWBRI1w/default.jpg URL=http://www.youtube.com/watch?v=OP91XWBRI1w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/e/modeling-with-one-variable-equations-and-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/quadratic-inequality-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/constructing-an-exponential-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rewriting a quadratic function to find roots and vertex | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/4Bc5-HRop5Y/default.jpg URL=http://www.youtube.com/watch?v=4Bc5-HRop5Y description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/e/rewriting-expressions-to-reveal-information?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/v/modeling-mosquitos-with-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/v/ex3-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying with exponent properties | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Ht-YXje4R2g/default.jpg URL=http://www.youtube.com/watch?v=Ht-YXje4R2g description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/manipulating-fractional-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/negative-fractional-exponent-examples?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/solving-for-a-fractional-exponent?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential equation with rational answer | Exponent expressions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/6OFwfxmhtE8/default.jpg URL=http://www.youtube.com/watch?v=6OFwfxmhtE8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/simplifying-with-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/basic-fractional-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadratic inequality word problem | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/GDppV18XDCs/default.jpg URL=http://www.youtube.com/watch?v=GDppV18XDCs description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/linear-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/making-more-pizzas-to-spread-cost-per-pizza?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Making more pizzas to spread cost per pizza | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/jQ15tkoXZoA/default.jpg URL=http://www.youtube.com/watch?v=jQ15tkoXZoA description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/quadratic-inequality-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/comparing-features-of-functions-2-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing polynomials with remainders example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/WqNc6My1aNU/default.jpg URL=http://www.youtube.com/watch?v=WqNc6My1aNU description=Dividing polynomials with remainders Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/e/dividing-polynomials-with-remainders?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/synthetic-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-polynomials-with-remainders?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial remainder theorem to determine coefficient example thumb=https://i.ytimg.com/vi/ub5b_AcA28Y/default.jpg URL=http://www.youtube.com/watch?v=ub5b_AcA28Y description=More free lessons at: http://www.khanacademy.org/video?v=ub5b_AcA28Y/description type=video name=Factoring 5th degree polynomial to find real zeros | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/mekBhhFWC9c/default.jpg URL=http://www.youtube.com/watch?v=mekBhhFWC9c description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/identifying-graph-based-on-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/factoring-special-products-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying graph based on roots | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/uFZvWYPfOmw/default.jpg URL=http://www.youtube.com/watch?v=uFZvWYPfOmw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/e/using-zeros-to-graph-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-end-behavior/v/polynomial-end-behavior?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/factoring-5th-degree-polynomial-to-find-real-zeros?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intersecting functions example thumb=https://i.ytimg.com/vi/8suweCJRkoc/default.jpg URL=http://www.youtube.com/watch?v=8suweCJRkoc description=More free lessons at: http://www.khanacademy.org/video?v=8suweCJRkoc/description type=video name=Determining the equation of a trig function | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/yHo0CcDVHsk/default.jpg URL=http://www.youtube.com/watch?v=yHo0CcDVHsk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs-of-trigonometric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/plotting-trig-features?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/matching-a-trigonometric-function-to-its-graph?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plotting maxima, minima and midline intersections of trig function | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/LplRIAd66pc/default.jpg URL=http://www.youtube.com/watch?v=LplRIAd66pc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/graphs-of-trigonometric-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/tangent-graph?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/trig-function-equation?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ratio between concentric arcs | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/9wXdONpguLw/default.jpg URL=http://www.youtube.com/watch?v=9wXdONpguLw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/cc-radians-and-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radian-measure-and-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/arc-length-from-angle-measure?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Midline, amplitude and period of a function | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/s4cLM0l1gd4/default.jpg URL=http://www.youtube.com/watch?v=s4cLM0l1gd4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/e/amplitude-of-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_graphs_tutorial/v/we-amplitude-and-period?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-with-model?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding arc length from radian angle measure | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/dtQyiDMoub4/default.jpg URL=http://www.youtube.com/watch?v=dtQyiDMoub4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/cc-radians-and-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/ratio-between-cocentric-arcs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/arc-length-as-fraction-of-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle similarity in pool | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/MiyFReTAdCA/default.jpg URL=http://www.youtube.com/watch?v=MiyFReTAdCA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/e/solving-problems-with-similar-and-congruent-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/golden-ratio-to-find-radius-of-moon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/goldren-ratio-and-rembrandt-s-self-portrait?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Golden ratio and Rembrandt's self portrait | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/v5SAMuRanGM/default.jpg URL=http://www.youtube.com/watch?v=v5SAMuRanGM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/e/solving-problems-with-similar-and-congruent-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/triangle-similarity-in-pool?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/finding-area-using-similarity-and-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Golden ratio to find radius of moon | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/cnCQGKx6LhE/default.jpg URL=http://www.youtube.com/watch?v=cnCQGKx6LhE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/e/solving-problems-with-similar-and-congruent-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/challenging-similarity-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/triangle-similarity-in-pool?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ratios of distances between colinear points | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/lEGS5ECgFxE/default.jpg URL=http://www.youtube.com/watch?v=lEGS5ECgFxE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/e/dividing-line-segments?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/finding-a-point-part-way-between-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/midpoint-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding a point part way between two points | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/0rlNHYHhrWs/default.jpg URL=http://www.youtube.com/watch?v=0rlNHYHhrWs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/e/dividing-line-segments?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/v/parallel-and-perpendicular-lines-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/ratios-of-distances-between-colinear-points?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying similar triangles in the coordinate plane | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/e6sh8AXz41E/default.jpg URL=http://www.youtube.com/watch?v=e6sh8AXz41E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/e/geometry-problems-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/minions-within-reach-of-wizard?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/classfying-a-quadrilateral-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Classifying a quadrilateral on the coordinate plane | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/vsgrWDLEzcQ/default.jpg URL=http://www.youtube.com/watch?v=vsgrWDLEzcQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/e/geometry-problems-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/identifying-similar-triangles-in-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/recognizing-points-on-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing points on a circle | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/9ASWQi14FlE/default.jpg URL=http://www.youtube.com/watch?v=9ASWQi14FlE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/e/geometry-problems-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/classfying-a-quadrilateral-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/rhombus-diagonals?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Similarity to define sine, cosine, and tangent | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/QuZMXVJNLCo/default.jpg URL=http://www.youtube.com/watch?v=QuZMXVJNLCo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/e/trigonometric-functions-and-side-ratios-in-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/sine-and-cosine-of-complements-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-trig-to-solve-the-sides-and-angles-of-a-right-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Showing relationship between cosine and sine of complements | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/BLQNL_UGONg/default.jpg URL=http://www.youtube.com/watch?v=BLQNL_UGONg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/e/trigonometric-functions-and-side-ratios-in-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/example-with-trig-functions-and-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/sine-and-cosine-of-complements-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sine and cosine of complements example | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/yiH6GoscimY/default.jpg URL=http://www.youtube.com/watch?v=yiH6GoscimY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/e/trigonometric-functions-and-side-ratios-in-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/showing-relationship-between-cosine-and-sine-of-complements?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/similarity-to-define-sine-cosine-and-tangent?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thiago asks: How much time does a goalkeeper have to react to a penalty kick? | Khan Academy thumb=https://i.ytimg.com/vi/XtJwkIacpi8/default.jpg URL=http://www.youtube.com/watch?v=XtJwkIacpi8 description=Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs/v/garfield-s-proof-of-the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/distance-formula?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle to aim to get alien | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/aHzd-u35LuA/default.jpg URL=http://www.youtube.com/watch?v=aHzd-u35LuA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/e/applying-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/v/figuring-out-coordinate-of-bended-figure-using-trig?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/v/how-much-of-a-pyramid-is-submerged?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How much of a pyramid is submerged | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Z5EnuVJawmY/default.jpg URL=http://www.youtube.com/watch?v=Z5EnuVJawmY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/e/applying-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/v/angle-to-aim-to-get-alien?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/example-relating-trig-function-to-side-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example with trig functions and ratios | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/TugWqiUjOU4/default.jpg URL=http://www.youtube.com/watch?v=TugWqiUjOU4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/e/trigonometric-functions-and-side-ratios-in-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/example-relating-trig-function-to-side-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/showing-relationship-between-cosine-and-sine-of-complements?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example relating trig function to side ratios | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/EBKNtjZAjXg/default.jpg URL=http://www.youtube.com/watch?v=EBKNtjZAjXg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/e/trigonometric-functions-and-side-ratios-in-right-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/trig-application-problems/v/how-much-of-a-pyramid-is-submerged?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/cc-trig-ratios-similarity/v/example-with-trig-functions-and-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean theorem and radii of circles | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ogg_ZxSeNQ0/default.jpg URL=http://www.youtube.com/watch?v=ogg_ZxSeNQ0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/cc-geometry-circles/equation-of-a-circle/e/pythagorean-theorem-and-the-equation-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/equation-of-a-circle/v/radius-and-center-for-a-circle-equation-in-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/equation-of-a-circle/v/equation-for-a-circle-using-the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equation for a circle using the Pythagorean Theorem | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/GQXUpB2NHvQ/default.jpg URL=http://www.youtube.com/watch?v=GQXUpB2NHvQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/cc-geometry-circles/equation-of-a-circle/e/pythagorean-theorem-and-the-equation-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/equation-of-a-circle/v/pythagorean-theorem-and-radii-of-circles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/v/hypotenuse-of-right-triangle-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hypotenuse of right triangle inscribed in circle | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/T971zHhZ3S4/default.jpg URL=http://www.youtube.com/watch?v=T971zHhZ3S4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/e/central--inscribed--and-circumscribed-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/equation-of-a-circle/v/equation-for-a-circle-using-the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/v/example-with-tangent-and-radius?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example with tangent and radius | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/KjQ1KN5GgoE/default.jpg URL=http://www.youtube.com/watch?v=KjQ1KN5GgoE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/e/central--inscribed--and-circumscribed-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/v/hypotenuse-of-right-triangle-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/v/measure-of-circumscribed-angle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measure of circumscribed angle | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ZiqHJwzv_HI/default.jpg URL=http://www.youtube.com/watch?v=ZiqHJwzv_HI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/e/central--inscribed--and-circumscribed-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/v/example-with-tangent-and-radius?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/v/inscribed-and-central-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Help support Khan Academy thumb=https://i.ytimg.com/vi/4YhIUkS9uu4/default.jpg URL=http://www.youtube.com/watch?v=4YhIUkS9uu4 description=Please support Khan Academy at https://www.khanacademy.org/donate. Thank you!/description type=video name=Solving a consecutive integer problem algebraically | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/8CJ6Qdcoxsc/default.jpg URL=http://www.youtube.com/watch?v=8CJ6Qdcoxsc description=The sum of 4 consecutive odd integers is 136. What are the 4 integers? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/integer_sums?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/sum-of-consecutive-odd-integers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/finding-the-100th-term-in-a-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Power series intro | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/DlBQcj_zQk0/default.jpg URL=http://www.youtube.com/watch?v=DlBQcj_zQk0 description=Power series is a sum of terms of the general form a_(x-a)_. Whether the series converges or diverges, and the value it converges to, depend on the chosen x-value, which makes power series a function. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/e/find-interval-of-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/radius-convergence-ratio-test?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-estimating-inf-series/v/alternating-series-remainder?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geometric series interval of convergence | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/aiwy2fNF_ZQ/default.jpg URL=http://www.youtube.com/watch?v=aiwy2fNF_ZQ description=When a power series is a geometric series, we can find its interval of convergence without using the ratio test! Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/e/creating-power-series-from-geometric-series-using-differentiation-and-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/finding-power-series-through-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/function-as-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geometric series as a function | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/6ynr9N-NQ8E/default.jpg URL=http://www.youtube.com/watch?v=6ynr9N-NQ8E description=Power series of the form _k(x-a)_ (where k is constant) are a geometric series with initial term k and common ratio (x-a). Since we have an expression for the sum of a geometric series, we can rewrite such power series as a finite expression. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/e/creating-power-series-from-geometric-series-using-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/rep-function-with-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/function-as-a-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=y-intercept of tangent line example | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/FJ7AMaR9miI/default.jpg URL=http://www.youtube.com/watch?v=FJ7AMaR9miI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/e/applications-of-derivatives--tangent-and-normal-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/v/normal-line-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/der_common_functions/v/proofs-of-derivatives-of-ln-x-and-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equation of normal line | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/C5G2Js2_Ep4/default.jpg URL=http://www.youtube.com/watch?v=C5G2Js2_Ep4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/e/applications-of-derivatives--tangent-and-normal-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/v/tangent-line-equation-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/v/tangent-line-intercept?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equation of tangent line example 1 | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/GH8-URjRQpQ/default.jpg URL=http://www.youtube.com/watch?v=GH8-URjRQpQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/e/applications-of-derivatives--tangent-and-normal-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/motion-along-line-derivatives/v/total-distance-traveled-by-a-particle?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/v/normal-line-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expressing function defined as infinite series thumb=https://i.ytimg.com/vi/WDWV8aBgBAg/default.jpg URL=http://www.youtube.com/watch?v=WDWV8aBgBAg type=video name=Power series function representation using algebra thumb=https://i.ytimg.com/vi/kHfwtSGtB8I/default.jpg URL=http://www.youtube.com/watch?v=kHfwtSGtB8I type=video name=Leveraging properties of series to find sum thumb=https://i.ytimg.com/vi/LwhJVURumAA/default.jpg URL=http://www.youtube.com/watch?v=LwhJVURumAA description=More free lessons at: http://www.khanacademy.org/video?v=LwhJVURumAA/description type=video name=Alternate formula for sum of n squares thumb=https://i.ytimg.com/vi/KvvFTPsZxU4/default.jpg URL=http://www.youtube.com/watch?v=KvvFTPsZxU4 description=More free lessons at: http://www.khanacademy.org/video?v=KvvFTPsZxU4/description type=video name=Finding the sum of n squares part 2 thumb=https://i.ytimg.com/vi/MkGXR8umLco/default.jpg URL=http://www.youtube.com/watch?v=MkGXR8umLco description=More free lessons at: http://www.khanacademy.org/video?v=MkGXR8umLco/description type=video name=Finding the sum of n squares part 1 thumb=https://i.ytimg.com/vi/i7iKLZQ-vCk/default.jpg URL=http://www.youtube.com/watch?v=i7iKLZQ-vCk description=More free lessons at: http://www.khanacademy.org/video?v=i7iKLZQ-vCk/description type=video name=Partial fraction decomposition to find sum of telescoping series thumb=https://i.ytimg.com/vi/qUNGPqCPzMg/default.jpg URL=http://www.youtube.com/watch?v=qUNGPqCPzMg description=More free lessons at: http://www.khanacademy.org/video?v=qUNGPqCPzMg/description type=video name=Explicitly defining a series thumb=https://i.ytimg.com/vi/yvddTWa9ptU/default.jpg URL=http://www.youtube.com/watch?v=yvddTWa9ptU description=More free lessons at: http://www.khanacademy.org/video?v=yvddTWa9ptU/description type=video name=Writing a series in sigma notation thumb=https://i.ytimg.com/vi/0DBDuNYsciY/default.jpg URL=http://www.youtube.com/watch?v=0DBDuNYsciY description=More free lessons at: http://www.khanacademy.org/video?v=0DBDuNYsciY/description type=video name=Worked example: sequence convergence/divergence | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/muqyereWEh4/default.jpg URL=http://www.youtube.com/watch?v=muqyereWEh4 description=How can we tell if a sequence converges or diverges? See Sal in action, determining the convergence/divergence of several sequences. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/e/convergence-and-divergence-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-finite-geo-series/v/series-as-sum-of-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/convergent-and-divergent-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sn1 and Sn2 solvents effects thumb=https://i.ytimg.com/vi/2jH_z9ra9L0/default.jpg URL=http://www.youtube.com/watch?v=2jH_z9ra9L0 description=More free lessons at: http://www.khanacademy.org/video?v=2jH_z9ra9L0/description type=video name=Sn2 stereochemistry | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/WrsROtPSeuA/default.jpg URL=http://www.youtube.com/watch?v=WrsROtPSeuA description=Sn2 stereochemistry. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/sn1-sn2-solvent-effects?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/steric-hindrance-1?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sn1 reactions intro thumb=https://i.ytimg.com/vi/yc6w21xiKpo/default.jpg URL=http://www.youtube.com/watch?v=yc6w21xiKpo type=video name=Steric hindrance | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/kiaU0jX-kk0/default.jpg URL=http://www.youtube.com/watch?v=kiaU0jX-kk0 description=Steric hindrance and how it affects whether a molecule will participate in an Sn2 reaction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/sn2-stereochemistry?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/sn1-reactions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sn2 reactions | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/iiGYwCGNrl8/default.jpg URL=http://www.youtube.com/watch?v=iiGYwCGNrl8 description=Sn2 reactions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/sn1-reactions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/curly-arrow-conventions?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rent control and deadweight loss | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/8U8egQjcPaI/default.jpg URL=http://www.youtube.com/watch?v=8U8egQjcPaI description=Let's step through some details on how one kind of regulation can reduce economic efficiency Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/minimum-wage-and-price-floors?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/producer-surplus?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 4 digits times 1 digit (using grid) | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/UvAOynxGfIU/default.jpg URL=http://www.youtube.com/watch?v=UvAOynxGfIU description=It's helpful sometimes to use a grid when multiplying multi-digit numbers. Here's an example using a 4 digit number times a 1 digit number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/e/multiplying-by-4-digit-numbers-with-visual-models?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/2-digit-multiplication-with-grid?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-multiplication/v/multiplying-2-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: 2 digits numbers (using distributive property) | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/3JmnxR8nEi8/default.jpg URL=http://www.youtube.com/watch?v=3JmnxR8nEi8 description=This is a fun way to solve this multiplication problem. Putting the distributive property to work! Cool. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/e/multiplying-2-digit-numbers-with-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/understanding-multiplication-through-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-mult-div-topic/cc-4th-area-models/v/4-by-1-multiplication-with-grid?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formula for continuously compounding interest | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/o5QRdHH8aeQ/default.jpg URL=http://www.youtube.com/watch?v=o5QRdHH8aeQ description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/time-value-of-money?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-as-limit?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=e as a limit | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/oQhp3ndj28Y/default.jpg URL=http://www.youtube.com/watch?v=oQhp3ndj28Y description=Sal continues the discussion on e, this time digging deeper into the mathematical definition of e. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/continuously-compounding-interest-formula-e?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-through-compound-interest?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=e and compound interest | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/BKGx8GMVu88/default.jpg URL=http://www.youtube.com/watch?v=BKGx8GMVu88 description=Sal introduces a very special number in the world of math (and beyond!), the constant e.Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-as-limit?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest/v/payday-loans?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an older tutorial (notice the low-res, bad handwriting) about one of the coolest numbers in reality and how it falls out of our innate desire to compound interest continuously. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimal turns at Indianapolis Motor Speedway with JR Hildebrand | Physics | Khan Academy thumb=https://i.ytimg.com/vi/MKnI3425EMI/default.jpg URL=http://www.youtube.com/watch?v=MKnI3425EMI description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/calculus-proof-of-centripetal-acceleration-formula?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/visual-understanding-of-centripetal-acceleration-formula?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Structure in rational expression | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/mNgW6SAQLhk/default.jpg URL=http://www.youtube.com/watch?v=mNgW6SAQLhk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/e/advanced-structure-in-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-exponential-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/partial-fraction-expansion/v/partial-fraction-expansion-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Structure in exponential expression | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/gR8-vRg6Yp0/default.jpg URL=http://www.youtube.com/watch?v=gR8-vRg6Yp0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/e/advanced-structure-in-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/fundamental-theorem-of-algebra/v/fundamental-theorem-of-algebra-intro?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/advanced-structure-in-expression/v/structure-in-rational-expression?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formula for a finite geometric series | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/i8THsl3AYFI/default.jpg URL=http://www.youtube.com/watch?v=i8THsl3AYFI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/e/geometric-series--1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sigma notation for sums | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/5jwXThH6fg4/default.jpg URL=http://www.youtube.com/watch?v=5jwXThH6fg4 description=Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/v/converting-an-explicit-function-to-a-recursive-function?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geometric sequence or progression thumb=https://i.ytimg.com/vi/W2NnNKtquaE/default.jpg URL=http://www.youtube.com/watch?v=W2NnNKtquaE description=More free lessons at: http://www.khanacademy.org/video?v=W2NnNKtquaE/description type=video name=Geometric series | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/CecgFWTg9pQ/default.jpg URL=http://www.youtube.com/watch?v=CecgFWTg9pQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/e/geometric-series--1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/sigma-notation-sum?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another derivation of the sum of an infinite geometric series | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/wqnpSzEzq1w/default.jpg URL=http://www.youtube.com/watch?v=wqnpSzEzq1w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/e/understanding-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/geometric-series-convergence-divergence?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/infinite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Repeating decimal as infinite geometric series | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/2BgWWsypzLA/default.jpg URL=http://www.youtube.com/watch?v=2BgWWsypzLA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/repeating-decimal-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/bouncing-ball-distance?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/geometric-series-convergence-divergence?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of an infinite geometric series | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/b-7kCymoUpg/default.jpg URL=http://www.youtube.com/watch?v=b-7kCymoUpg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/e/understanding-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/deriving-geometric-series-sum-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/geometric-sequence-series/v/geometric-series-sum-to-figure-out-mortgage-payments?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vertical distance of bouncing ball | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/tqTJZEglrvc/default.jpg URL=http://www.youtube.com/watch?v=tqTJZEglrvc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/repeating-decimal-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/advanced-sequences-series/v/2003-aime-ii-problem-8?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/infinite-geometric-series/v/repeating-decimal-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Birth of the US Constitution | US History | Khan Academy thumb=https://i.ytimg.com/vi/Rk8dCnKIfP4/default.jpg URL=http://www.youtube.com/watch?v=Rk8dCnKIfP4 description=In this video, Aspen Institute President and CEO Walter Isaacson talks to Sal about the background to the Declaration of Independence. Created by Sal Khan and Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/civil-war-era/slavery-and-the-civil-war/v/slavery-and-missouri-compromise-in-early-1800s?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/first-draft-of-the-declaration-of-independence?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=First draft of the Declaration of Independence | US History | Khan Academy thumb=https://i.ytimg.com/vi/_NB5-Z0pOyc/default.jpg URL=http://www.youtube.com/watch?v=_NB5-Z0pOyc description=In this video, Aspen Institute President and CEO Walter Isaacson talks to Sal about the background to the Declaration of Independence. Created by Sal Khan and Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/birth-of-the-us-constitution?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/tyranny-and-despotism?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tyranny and despotism | US History | Khan Academy thumb=https://i.ytimg.com/vi/-7kSDHFXwZ4/default.jpg URL=http://www.youtube.com/watch?v=-7kSDHFXwZ4 description=In this video, Aspen Institute President and CEO Walter Isaacson talks to Sal about the background to the Declaration of Independence. Created by Sal Khan and Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/first-draft-of-the-declaration-of-independence?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/life-liberty-and-the-pursuit-of-happiness?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Life, liberty and the pursuit of happiness | US History | Khan Academy thumb=https://i.ytimg.com/vi/S7SnU8ujfwM/default.jpg URL=http://www.youtube.com/watch?v=S7SnU8ujfwM description=In this video, Aspen Institute President and CEO Walter Isaacson talks to Sal about the background to the Declaration of Independence. Created by Sal Khan and Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/tyranny-and-despotism?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/all-men-are-created-equal?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=All men are created equal | US History | Khan Academy thumb=https://i.ytimg.com/vi/uhXLW4bU-pI/default.jpg URL=http://www.youtube.com/watch?v=uhXLW4bU-pI description=In this video, Aspen Institute President and CEO Walter Isaacson talks to Sal about the background to the Declaration of Independence. Created by Sal Khan and Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/life-liberty-and-the-pursuit-of-happiness?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/background-and-introduction-to-the-united-states-declaration-of-independence?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Background and introduction to the United States Declaration of Independence | Khan Academy thumb=https://i.ytimg.com/vi/er1L9BB6UoE/default.jpg URL=http://www.youtube.com/watch?v=er1L9BB6UoE description=In this video, Aspen Institute President and CEO Walter Isaacson talks to Sal about the background to the Declaration of Independence. Created by Sal Khan and Aspen Institute. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/road-to-revolution/declaration-of-independence/v/all-men-are-created-equal?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/road-to-revolution/benjamin-franklin/v/franklin-diplomat?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Walter Isaacson explains the drafting of the Declaration of Independence to Sal thumb=https://i.ytimg.com/vi/bFXGztm89nI/default.jpg URL=http://www.youtube.com/watch?v=bFXGztm89nI type=video name=Comparing fractions with greater than and less than symbols | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8OKTrN0uT-Q/default.jpg URL=http://www.youtube.com/watch?v=8OKTrN0uT-Q description=Shade visual fraction models to compare fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/e/comparing_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/fractions-with-like-denominators-numerators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/finding-common-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Whole numbers as fractions | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/3OFH8OhpN08/default.jpg URL=http://www.youtube.com/watch?v=3OFH8OhpN08 description=Use fraction models and a number line to represent 3 as a fraction. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-and-whole-numbers/e/writing-fractions-as-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions/v/equivalent-fractions-with-visuals?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-and-whole-numbers/v/different-ways-to-represent-1-as-a-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fraction basics | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/jgWqSjgMAtw/default.jpg URL=http://www.youtube.com/watch?v=jgWqSjgMAtw description=Divide wholes into equal-sized pieces to create unit fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-intro/e/that-s-not-fair-?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning/v/more-than-one-equal-section?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-mult-div-topic/cc-3rd-grade-multiplying-by-10/v/multiplying-by-multiples-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fractions visually and on number line | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/Su4DKLbK8mA/default.jpg URL=http://www.youtube.com/watch?v=Su4DKLbK8mA description=Use number lines and fraction models to show equivalent fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/e/equivalent-fraction-models?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/v/comparing-fractions-visually-and-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions/v/equivalent-fraction-models?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More than one equal section | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/U44my48zgFE/default.jpg URL=http://www.youtube.com/watch?v=U44my48zgFE description=Use fractions to name parts of a whole. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning/e/recognizing_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning/v/numerator-and-denominator-of-a-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-intro/v/fraction-basics?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractions on a number line | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/Z0WsfO-RI8Y/default.jpg URL=http://www.youtube.com/watch?v=Z0WsfO-RI8Y description=Graph and locate fractions on a number line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-on-the-number-line/e/fractions_on_the_number_line_1?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-on-the-number-line/v/fractions-on-number-line-widget?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-meaning/v/numerator-and-denominator-of-a-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Generating equivalent fractions | Fractions | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/-YpEkExjq2E/default.jpg URL=http://www.youtube.com/watch?v=-YpEkExjq2E description=Create equivalent fractions by dividing a fraction model and number line into smaller parts. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/e/equivalent-fraction-models?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-comparing-fractions/v/comparing-fractions-with-greater-than-and-less-than-symbols?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/v/comparing-fractions-visually-and-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions visually and on number line | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/Kt7Dwr7BftE/default.jpg URL=http://www.youtube.com/watch?v=Kt7Dwr7BftE description=Compare fractions by graphing them a number line and drawing fraction models. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/e/equivalent-fraction-models?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/v/generating-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-equivalent-fractions-number-line/v/equivalent-fractions-visually-and-on-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Different ways to represent 1 as a fraction | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/dviyBH3pOk8/default.jpg URL=http://www.youtube.com/watch?v=dviyBH3pOk8 description=Use fraction models and a number line to represent 1 as a fraction. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-and-whole-numbers/e/finding-1-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-and-whole-numbers/v/whole-numbers-as-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-fractions-topic/cc-3rd-fractions-on-the-number-line/v/fractions-on-number-line-widget?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mental technique for subtraction without regrouping | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/iivtjjdSu9I/default.jpg URL=http://www.youtube.com/watch?v=iivtjjdSu9I description=Use an understanding of place-value to subtract. Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-add-sub-missing-value/v/missing-number-for-addition-and-subtraction-within-1000?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-add-sub-topic/cc-3rd-regrouping-3-dig/v/regrouping-from-0-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting: three digit numbers and basic regrouping | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/9T3AAn-Cw3g/default.jpg URL=http://www.youtube.com/watch?v=9T3AAn-Cw3g description=Subtracting multi-digit numbers can be a little confusing when the top digits are smaller than the bottom ones. Let's look at regrouping together. It will help! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/introduction-to-regrouping-borrowing?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding three digit numbers with regrouping | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/9hM32lsQ4aI/default.jpg URL=http://www.youtube.com/watch?v=9hM32lsQ4aI description=In the old days 'regrouping' was known as "carrying." It's the same idea now as then: moving the tens (or hundreds or thousands) over to the next column. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/e/addition_3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/v/addition-4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/v/why-carrying-works?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting: Regrouping from zero | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/3lHBgFvr3yE/default.jpg URL=http://www.youtube.com/watch?v=3lHBgFvr3yE description=In Kindergarten you learned the importance of sharing, right? In math, when we lack value in a number to subtract with you borrow or regroup from a neighbor. Sometimes you borrow from the tens...but what if you have zero tens? Ha....let's watch this and learn! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/borrowing-once-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-twice-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting: regrouping twice | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/LSaaKau63Gg/default.jpg URL=http://www.youtube.com/watch?v=LSaaKau63Gg description=Getting a little fancier with our regrouping now. What if you have TWO numbers that require you to borrow or regroup? You guessed it! You have to take value from one place and give it to another. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-from-0-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting: three digit numbers and regrouping | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/QOtam19NQcQ/default.jpg URL=http://www.youtube.com/watch?v=QOtam19NQcQ description=When we don't have enough of something, we sometimes borrow it. Same in math! When there aren't enough tens (or hundreds, etc) to subtract with, we can borrow (also called regrouping). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-twice-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/basic-regrouping-or-borrowing-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding: why carrying works | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/O9zSHs1TWMM/default.jpg URL=http://www.youtube.com/watch?v=O9zSHs1TWMM description=Sometimes when we add, we carry our tens to the next column. Let's watch this so we can understand why it works. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/e/addition_3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/v/example-adding-with-carrying?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/v/carrying-when-adding-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding three-digit numbers | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/Wm0zq-NqEFs/default.jpg URL=http://www.youtube.com/watch?v=Wm0zq-NqEFs description=Learn how to carry when adding a three-digit number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/e/addition_3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/v/why-carrying-works?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub/v/subtracting-within-20?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rounding to the nearest 100 | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/19yOv4P2ccw/default.jpg URL=http://www.youtube.com/watch?v=19yOv4P2ccw description=Use a number line to round three-digit numbers to the nearest hundred. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/e/rounding-to-the-nearest-ten-or-hundred?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/v/examples-rounding-to-the-nearest-10-and-100?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/v/rounding-to-the-nearest-10?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rounding to the nearest 10 | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/w2M5CzTFYfI/default.jpg URL=http://www.youtube.com/watch?v=w2M5CzTFYfI description=Use a number line to round two-digit numbers to the nearest ten. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/e/rounding-to-the-nearest-ten-or-hundred?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/v/rounding-to-the-nearest-100?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-geometry/v/introduction-to-types-of-quadrilaterals?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples rounding to the nearest 10 and 100 | 3rd grade | Khan Academy thumb=https://i.ytimg.com/vi/jvp0mtr1kFM/default.jpg URL=http://www.youtube.com/watch?v=jvp0mtr1kFM description=Round up to four-digit numbers to the nearest ten and hundred. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/e/rounding-to-the-nearest-ten-or-hundred?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Watch the next lesson: https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-exp-pattern-topic/cc-3rd-prop-mult/v/order-doesn-t-matter-when-purely-multiplying?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-third-grade-math/cc-3rd-place-value-rounding/cc-3rd-grade-rounding/v/rounding-to-the-nearest-100?utm_source=YT&utm_medium=Desc&utm_campaign=3rdgrade Grade 3rd on Khan Academy: We know you've been rocking through 2nd grade adding and subtracting all kinds of whole numbers (up to 2 digits, right?). That's awesome! In 3rd grade math we want you to start using bigger numbers and start multiplying and dividing, too. By the way, did you know that some numbers aren’t actually “whole?” They’re “partially whole.” We call them fractions! We want you to start playing around and having fun with those, too. There's also area, perimeter, and place value to be discovered. Whew. We have so much to do and can't wait to do it with you. Let's go! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 3rd grade channel: https://www.youtube.com/channel/UCwRBaZv81l-p3Ch2xR0otwg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conversation on Google+ with Sal Khan thumb=https://i.ytimg.com/vi/Sfhj2OU1b3Q/default.jpg URL=http://www.youtube.com/watch?v=Sfhj2OU1b3Q description=Conversation on Google+ with Sal Khan/description type=video name=Institutional roles in issuing and processing credit cards | Khan Academy thumb=https://i.ytimg.com/vi/IPxQQNyCxas/default.jpg URL=http://www.youtube.com/watch?v=IPxQQNyCxas description=The institutions involved in processing your credit card and how they relate to each other. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest/v/payday-loans?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest/v/annual-percentage-rate-apr-and-effective-apr?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most of us have borrowed to buy something. Credit cards, in particular, can be quite convenient (but dangerous if not used in moderation). This tutorial explains credit card interest, how credit card companies make money and a far more silly way of borrowing money called "payday" loans. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to bonds | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Qh-M3_L4xYk/default.jpg URL=http://www.youtube.com/watch?v=Qh-M3_L4xYk description=What it means to buy a bond. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/introduction-to-the-yield-curve?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/corporate-debt-versus-traditional-mortgages?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound interest introduction | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Rm6UdfRs3gw/default.jpg URL=http://www.youtube.com/watch?v=Rm6UdfRs3gw description=Learn about the basics of compound interest, with examples of basic compound interest calculations. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/compound-interest-tutorial/v/the-rule-of-72-for-compound-interest?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacadem/description type=video name=Basics of estate tax thumb=https://i.ytimg.com/vi/bIgFmeHQvL0/default.jpg URL=http://www.youtube.com/watch?v=bIgFmeHQvL0 description=Overview of the inheritance tax/description type=video name=Basics of US income tax rate schedule | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/OGVJfcSckUs/default.jpg URL=http://www.youtube.com/watch?v=OGVJfcSckUs description=Understanding that a marginal tax rate does not apply to all of income. Created by Sal Khan. Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/tax-deductions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Annual Percentage Rate (APR) and effective APR | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/RuPMsK0mQC8/default.jpg URL=http://www.youtube.com/watch?v=RuPMsK0mQC8 description=The difference between APR and effective APR. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest/v/institutional-roles-in-issuing-and-processing-credit-cards?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial/v/interest-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most of us have borrowed to buy something. Credit cards, in particular, can be quite convenient (but dangerous if not used in moderation). This tutorial explains credit card interest, how credit card companies make money and a far more silly way of borrowing money called "payday" loans. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=401(k)s | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/2zfdtmlMNDs/default.jpg URL=http://www.youtube.com/watch?v=2zfdtmlMNDs description=401(k)s (and how they compare to IRAs). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/life-insurance/v/term-and-whole-life-insurance-policies?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks/v/roth-iras?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle). To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Open-ended mutual funds thumb=https://i.ytimg.com/vi/zqRxV9ICn4I/default.jpg URL=http://www.youtube.com/watch?v=zqRxV9ICn4I description=Mutual fund basics More free lessons at: http://www.khanacademy.org/video?v=zqRxV9ICn4I/description type=video name=Personal bankruptcy - Chapters 7 and 13 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/H3tg4bH5JuY/default.jpg URL=http://www.youtube.com/watch?v=H3tg4bH5JuY description=Chapter 7 and Chapter 13 personal bankruptcy. Created by Sal Khan. Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/present-value-4-and-discounted-cash-flow?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Back in the day (like medieval Europe), you would actually be thrown in jail if you couldn't pay your debts (debtor's prison). That seemed like a pretty awful thing to do (not to mention that lenders are much less likely to be paid by someone rotting in prison), so governments created an "out" called bankruptcy (which, as you'll see, is a pseudo-painful "reset" button on your finances). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relationship between bond prices and interest rates | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/I7FDx4DPapw/default.jpg URL=http://www.youtube.com/watch?v=I7FDx4DPapw description=Why bond prices move inversely to changes in interest rate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/treasury-bond-prices-and-yields?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/introduction-to-the-yield-curve?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Roth IRAs | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/th06SCNNZ60/default.jpg URL=http://www.youtube.com/watch?v=th06SCNNZ60 description=Introduction to Roth IRA's. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks/v/401-k-s?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks/v/traditional-iras?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle). To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The rule of 72 for compound interest | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/mec-QpjQMXY/default.jpg URL=http://www.youtube.com/watch?v=mec-QpjQMXY description=Using the Rule of 72 to approximate how long it will take for an investment to double at a given interest rate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial/v/introduction-to-interest?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/compound-interest-tutorial/v/introduction-to-compound-interest?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Traditional IRAs | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/UV8kgqk_DAY/default.jpg URL=http://www.youtube.com/watch?v=UV8kgqk_DAY description=Introduction to traditional IRA's (Individual Retirement Accounts). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks/v/roth-iras?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/ponzi-schemes?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The government apparently wants us to save for retirement (not always obvious because it also wants us to spend as much as possible to pump the economy going into the next election cycle). To encourage this, it has created some ways to save that avoid or defer taxes: IRAs and 401ks. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unemployment rate primer | Current Economics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/C9onjpQGpSg/default.jpg URL=http://www.youtube.com/watch?v=C9onjpQGpSg description=How the unemployment rate is calculated. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/unemployment-tutorial/v/unemployment-rate-primer?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/unemployment-tutorial/v/unemployment?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What it means to buy a company's stock | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/98qfFzqDKR8/default.jpg URL=http://www.youtube.com/watch?v=98qfFzqDKR8 description=What it means to buy a company's stock. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/stocks-intro-tutorial/v/bonds-vs-stocks?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Many people own stocks, but, unfortunately, most of them don't really understand what they own. This tutorial will keep you from being one of those people (not keep you from owning stock, but keep you from being ignorant about your investments). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding width from perimeter and length | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/YM2G4ATOcpw/default.jpg URL=http://www.youtube.com/watch?v=YM2G4ATOcpw description=Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/rectangle-area-perimeter-word-pr/v/comparing-area?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/rectangle-area-perimeter-word-pr/v/length-and-width-from-perimeter-and-area?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to perimeter | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/9uwLgf84p5w/default.jpg URL=http://www.youtube.com/watch?v=9uwLgf84p5w description=Find perimeter by adding side-lengths of various figures. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/e/perimeter_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/v/perimeter-of-a-shape?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/calculating-the-square-footage-of-a-house?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating the square footage of a house | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xo4VpX2IIMk/default.jpg URL=http://www.youtube.com/watch?v=xo4VpX2IIMk description=Decompose an irregular shape to find area of entire figure. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/v/introduction-to-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/comparing-areas-of-plots-of-land?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of rectangles and the distributive property | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Q3wfb0CPhIY/default.jpg URL=http://www.youtube.com/watch?v=Q3wfb0CPhIY description=Use the distributive property to find area of rectangles. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/comparing-areas-of-plots-of-land?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing areas of plots of land | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ArvnBba_ogI/default.jpg URL=http://www.youtube.com/watch?v=ArvnBba_ogI description=Find area of two rectangles to solve a word problem. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/calculating-the-square-footage-of-a-house?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/area-of-rectangles-and-the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rectangle area as product of dimensions same as counting unit squares | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/DRg2VCo8lP0/default.jpg URL=http://www.youtube.com/watch?v=DRg2VCo8lP0 description=Use unit squares to see why multiplying side-lengths can also find the area of rectangles. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/e/measuring-area-with-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/area-of-rectangles-and-the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/measuring-the-same-rectangle-with-different-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring the same rectangle with different unit squares | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/O1R4H3Ca82E/default.jpg URL=http://www.youtube.com/watch?v=O1R4H3Ca82E description=Find area of a rectangle with different sized units. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/e/measuring-area-with-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/rectangle-area-as-product-of-dimensions-same-as-counting-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/introduction-to-area-and-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to area and unit squares | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/A7zPgMV4eTM/default.jpg URL=http://www.youtube.com/watch?v=A7zPgMV4eTM description=Cover figures with square units to find their area. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/e/measuring-area-with-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/area-basics/v/measuring-the-same-rectangle-with-different-unit-squares?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/properties-of-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimating the probability of getting a bullseye thumb=https://i.ytimg.com/vi/6SSr7FZflAk/default.jpg URL=http://www.youtube.com/watch?v=6SSr7FZflAk type=video name=Compound events example with tree diagram | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/4fBXIcO0It4/default.jpg URL=http://www.youtube.com/watch?v=4fBXIcO0It4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/e/compound-events?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/compound-events-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/compound-probability-of-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound events example using diagram | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/9mU3MVtsqic/default.jpg URL=http://www.youtube.com/watch?v=9mU3MVtsqic description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/e/compound-events?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/getting-at-least-one-heads?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/compound-events-tree-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Making sense of probabilities thumb=https://i.ytimg.com/vi/4pTAEIlZjRM/default.jpg URL=http://www.youtube.com/watch?v=4pTAEIlZjRM description=More free lessons at: http://www.khanacademy.org/video?v=4pTAEIlZjRM/description type=video name=Comparing probabilities example t2 thumb=https://i.ytimg.com/vi/WqnXhCEgW20/default.jpg URL=http://www.youtube.com/watch?v=WqnXhCEgW20 description=More free lessons at: http://www.khanacademy.org/video?v=WqnXhCEgW20/description type=video name=Area and perimeter word problem: table dimensions | Khan Academy thumb=https://i.ytimg.com/vi/-J-6VGxld54/default.jpg URL=http://www.youtube.com/watch?v=-J-6VGxld54 description=If you know the area and perimeter of a rectangle, you can figure out the length and width. STILL don't believe us?Just watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter/e/area_of_squares_and_rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter/v/comparing-area?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter/v/width-from-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area and perimeter word problem: width of a dog pen | Khan Academy thumb=https://i.ytimg.com/vi/AIb5x7fmtvE/default.jpg URL=http://www.youtube.com/watch?v=AIb5x7fmtvE description=If you know the perimeter and the length of a rectangle, you can figure out the width. Don't believe us? Watch and become a believer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter/e/area_of_squares_and_rectangles?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-area-and-perimeter/v/length-and-width-from-perimeter-and-area?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-money/v/currency-conversion-example?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area and perimeter word problem: comparing areas of rectangles | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/D2Ks5SKU6GM/default.jpg URL=http://www.youtube.com/watch?v=D2Ks5SKU6GM description=We know the length and width of two rectangles. Guess what? We can compare the areas! Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/rectangle-area-perimeter-word-pr/v/find-width-from-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/rectangle-area-perimeter-word-pr/v/find-width-from-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measurement units example thumb=https://i.ytimg.com/vi/3Sp-7U5AIX4/default.jpg URL=http://www.youtube.com/watch?v=3Sp-7U5AIX4 type=video name=Choose pounds or ounces to measure weight | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/V1LloSp4PV4/default.jpg URL=http://www.youtube.com/watch?v=V1LloSp4PV4 description=When choosing which unit of weight to use, the most common options are pounds and ounces. I don't imagine that weighting you dog in tons is going to be very helpful, do you? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-sense/e/unit-sense?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-conversion/v/time-unit-conversion?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-unit-sense/v/unit-sense-example-for-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Next Week: Conversation on Google+ with Sal Khan thumb=https://i.ytimg.com/vi/3J-7QEJ-ioQ/default.jpg URL=http://www.youtube.com/watch?v=3J-7QEJ-ioQ description=Next week, join a conversation on Google+ with Sal Khan about technology in education: How can we personalize learning? How can technology make the classroom more interactive? What will schools and learning look like in 5, 10, or 50 years? To participate, join the Technology in Education Community (https://plus.google.com/communities/106567026492773899034) and post your thoughts and questions about this topic. Khan Academy will select the most insightful contributors to join Sal in a Hangout On Air on 10/1 at 4 PM ET. Event details: https://plus.google.com/events/ckeikl5ftknhc3c0giiorkl65b4/description type=video name=Unit measurement word problem: distance (US customary) | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/ZS1OZj_oWao/default.jpg URL=http://www.youtube.com/watch?v=ZS1OZj_oWao description=We're applying what we've learned about converting units of measure in this word problem. We're also using arithmetic calculations. Let's give it a try! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems/e/converting-units-word-problems--us-customary-?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems/v/solving-application-problems-involving-units-of-volume?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems/v/unit-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Units of measurement word problem: volume (metric) | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/PdHSs5_kx24/default.jpg URL=http://www.youtube.com/watch?v=PdHSs5_kx24 description=Great word problem that get us thinking about volume. We'll need to express the answer in two different units of measurement. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems/e/converting-measurements-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems/v/unit-conversion-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-word-problems/v/time-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Time word problem: How long is Susan's break? | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/UhMM68fq9FA/default.jpg URL=http://www.youtube.com/watch?v=UhMM68fq9FA description=We're looking for the difference in time in this unit conversion word problem. We'll use a timeline to make it a little easier. Follow along. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-time/e/measuring-time-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-money/v/change-from-buying-apples?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-measurement-topic/cc-4th-time/v/time-to-leave-for-home?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion: centimeters to meters | Measurement and data | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/6bQ6HJsAv4A/default.jpg URL=http://www.youtube.com/watch?v=6bQ6HJsAv4A description=Which are smaller: centimeters or meters? If you know the answer to that question, then solving this problem gets a little easier. Let's convert centimeters to meters. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/e/converting-units?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/v/ordering-metric-distances?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/v/minutes-to-hours?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion: ordering metric distances | Measurement and data | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/mI84WDfhuYA/default.jpg URL=http://www.youtube.com/watch?v=mI84WDfhuYA description=Although not all countries use the metric system, almost all do use it some. Let's see if you can help us order these metric distances. It's a great lesson on the powers of 10, too! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/e/converting-units?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/v/cm-to-meters?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/v/minutes-to-hours?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion: minutes to hours | Measurement and data | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/DLno3b-Xsmo/default.jpg URL=http://www.youtube.com/watch?v=DLno3b-Xsmo description=We're going to convert minutes into hours, but consider whether it is best to state the answer as a decimal or a mixed number. In truth, it doesn't make a difference...both are correct! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/e/converting-units?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-unit-conversion/v/ordering-metric-distances?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-volume/v/volume-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadrilaterals: find the type exercise | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/wPZIa3SjPF0/default.jpg URL=http://www.youtube.com/watch?v=wPZIa3SjPF0 description=Take a look at the given data and determine what type of quadrilateral we have. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_types?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-sides-of-parallelogram-congruent?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/kites-as-a-mathematical-shape?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadrilaterals: kites as a geometric shape | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/inlMrf2d-k4/default.jpg URL=http://www.youtube.com/watch?v=inlMrf2d-k4 description=Is a kite a quadrilateral? Is it a rhombus? A parallelogram? Let's find out. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_types?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/quadrilateral-types-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/quadrilateral-properties?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Defining a function at a point to make it continuous | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/oUgDaEwMbiU/default.jpg URL=http://www.youtube.com/watch?v=oUgDaEwMbiU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/e/continuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/introduction-to-limits?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/v/fancy-algebra-to-find-a-limit-and-make-a-function-continuous?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fancy algebra to find a limit and make a function continuous | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/P1DJxuG7U9A/default.jpg URL=http://www.youtube.com/watch?v=P1DJxuG7U9A description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/e/continuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/v/defining-a-function-at-a-point-to-make-it-continuous?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/v/limit-and-function-defined-at-point-of-discontinuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit and function defined at point of discontinuity | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/_bBAiZhfH_4/default.jpg URL=http://www.youtube.com/watch?v=_bBAiZhfH_4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/e/continuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/v/fancy-algebra-to-find-a-limit-and-make-a-function-continuous?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/continuity-limits/v/limits-to-define-continuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of Chinese history 1911 - 1949 | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/a9QtIfPIQl4/default.jpg URL=http://www.youtube.com/watch?v=a9QtIfPIQl4 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/beginning-of-world-war-ii?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/mussolini-aligns-with-hitler?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=FICO scores and credit bureaus thumb=https://i.ytimg.com/vi/8AtM1R9NmwM/default.jpg URL=http://www.youtube.com/watch?v=8AtM1R9NmwM type=video name=Proof: Sum of measures of angles in a triangle are 180 | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/6s1CI3uuhko/default.jpg URL=http://www.youtube.com/watch?v=6s1CI3uuhko description=Proof that the sum of the measures of the angles in a triangle are 180 Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/triangle-angle-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/line-and-angle-proofs-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the average rate of change from a formula | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/6n0yxfWNFR4/default.jpg URL=http://www.youtube.com/watch?v=6n0yxfWNFR4 description=Given the formula of a function, Sal finds the interval where the function has an average rate of change of 1/2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/e/avg-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/average-rate-of-change-word-problems/v/average-rate-of-change-from-table-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/average-rate-of-change-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding, subtracting numbers in different formats | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/FSpSrZQzzVs/default.jpg URL=http://www.youtube.com/watch?v=FSpSrZQzzVs description=In this example, we solve an addition problem with numbers in different formats: a percentage, decimal, and mixed number. First, we'll get them all in the same format...which makes it a while easier to solve! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/e/adding_and_subtracting_rational_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/v/adding-fractions-decimals-and-percentages?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/v/dividing-decimals-2-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding, subtracting fractions, decimals, percentages | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xEDnwEOOf7Y/default.jpg URL=http://www.youtube.com/watch?v=xEDnwEOOf7Y description=What happens when we are asked to add or subtract fractions, decimals, and percentages? You'll see in this example that we first get them in the same format, and then add fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/e/adding_and_subtracting_rational_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/v/adding-and-subtracting-three-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/v/adding-and-subtracting-a-decimal-percentage-and-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding, subtracting fractions | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/9tmtDBpqq9s/default.jpg URL=http://www.youtube.com/watch?v=9tmtDBpqq9s description=Add and subtract negative fractions with unlike denominators. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/e/adding_and_subtracting_rational_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/introduction-to-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/v/adding-fractions-decimals-and-percentages?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Khan talks to Arne Duncan thumb=https://i.ytimg.com/vi/9pcWAHujSZA/default.jpg URL=http://www.youtube.com/watch?v=9pcWAHujSZA description=Sal Khan talks to Arne Duncan More free lessons at: http://www.khanacademy.org/video?v=9pcWAHujSZA/description type=video name=Where a function is not differentiable | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/pj1VvscsV0s/default.jpg URL=http://www.youtube.com/watch?v=pj1VvscsV0s description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/identifying-a-function-s-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/graphs-of-functions-and-their-derivatives-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of functions and their derivatives example 1 | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/P3IlneCNm8A/default.jpg URL=http://www.youtube.com/watch?v=P3IlneCNm8A description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/where-a-function-is-not-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/interpreting-slope-of-a-curve-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out which function is the derivative | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/PF6_y4zYVec/default.jpg URL=http://www.youtube.com/watch?v=PF6_y4zYVec description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/intuitively-drawing-the-derivative-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/identifying-a-function-s-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying a function's derivative example | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/NFzma7NsHtI/default.jpg URL=http://www.youtube.com/watch?v=NFzma7NsHtI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/graphs-of-functions-and-their-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/figuring-out-which-function-is-the-the-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/where-a-function-is-not-differentiable?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals: comparing place values | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lR_kUUPL8YY/default.jpg URL=http://www.youtube.com/watch?v=lR_kUUPL8YY description=We're having a blast with decimals! Check this one: we're comparing place values. This will blow your mind. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/e/comparing-decimal-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/understanding-decimal-place-value-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/writing-a-decimal-to-represent-a-quantity?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume word problem | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/OanPzjf2EYY/default.jpg URL=http://www.youtube.com/watch?v=OanPzjf2EYY description=Perhaps you've noticed that after teaching you the concept and doing a few example problems together, we always like to throw you a word problem in which you have to apply what you've learned. So here let's find the volume! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/e/volume_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra This is the last video in our pre-algebra subject! Now move on to our first video in basic geometry: https://www.khanacademy.org/math/basic-geo/basic-geo-lines/basic-geo-lines-rays-angles/v/euclid-as-the-father-of-geometry?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/volume-of-a-rectangular-prism-or-box-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume of a rectangular prism or box examples | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/I9efKVtLCf4/default.jpg URL=http://www.youtube.com/watch?v=I9efKVtLCf4 description=Let's do some example problems together in which we use the area times length formula for finding volume. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/e/volume_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/volume-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/measuring-volume-as-area-times-length?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume: measuring as area times length | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/daCT_24RnIY/default.jpg URL=http://www.youtube.com/watch?v=daCT_24RnIY description=Sometimes, we can't just count the number of cubes to find the volume because there are too many. In those situations, you need another way of measuring volume. This video gives you the solution. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/e/volume_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/volume-of-a-rectangular-prism-or-box-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/measuring-volume-with-unit-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume: how to measure it | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xMz9WFvox9g/default.jpg URL=http://www.youtube.com/watch?v=xMz9WFvox9g description=Volume is a measurement in the 3rd dimension. This means that it not only has width and height, but it has depth as well. Let's watch this video in which we get a great explanation of how we measure volume. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/e/volume_with_unit_cubes?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/measuring-volume-with-unit-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/rectangle-area-perimeter-word-pr/v/comparing-area?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume: measuring with unit cubes | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/7WloKabLhII/default.jpg URL=http://www.youtube.com/watch?v=7WloKabLhII description=Volume is usually measured in cubic feet (or inches, or centimeters, etc). Let's practice counting cubic feet in order to find the volume. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/e/volume_with_unit_cubes?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/measuring-volume-as-area-times-length?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/volume-introduction-rectangular/v/how-we-measure-volume?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Seeing multiplication as scaling with fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/yUYDhmQsiXY/default.jpg URL=http://www.youtube.com/watch?v=yUYDhmQsiXY description=Learn how to compare the following expressions by thinking about multiplication as scaling: 2/3 x 7/8, 8/7 x 2/3, and (5x2)/(3x5) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/e/fraction-multiplication-as-scaling?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-negative-and-positive-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear equation word problem | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xKH1Evwu150/default.jpg URL=http://www.youtube.com/watch?v=xKH1Evwu150 description=Learn how to solve a word problem by writing an equation to model the situation. In this video, we use the linear equation 210(t-5) = 41,790. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu/e/linear-equation-world-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu/v/application-problems-with-equation-in-one-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing equations from proportions to solve problems | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/AEKztz8ubSM/default.jpg URL=http://www.youtube.com/watch?v=AEKztz8ubSM description=We're putting some nifty thinking to work as we use proportions to create equations which then tell us how much tip to leave for dinner. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/ratios-core-algebra/v/ratio-problem-with-basic-algebra-new-hd?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/ratios-core-algebra/v/proportions-2-exercise-examples?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing in scientific notation (example) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/497oIjqRPco/default.jpg URL=http://www.youtube.com/watch?v=497oIjqRPco description=Learn how to simplify a multiplication and division expression using scientific notation. The expression in this problem is (7 * 10^5) / ((2 * 10^-2)(2.5 * 10^9)). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/e/computing-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/simplifying-a-complicated-expression-into-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/scientific-notation-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying a complicated expression into scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/EbmgLiSVACU/default.jpg URL=http://www.youtube.com/watch?v=EbmgLiSVACU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/e/computing-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/calculating-red-blood-cells-in-the-body-using-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/multiplying-and-dividing-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Red blood cells in human body (scientific notation word problem) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/0lOpqmTdtzk/default.jpg URL=http://www.youtube.com/watch?v=0lOpqmTdtzk description=Vampires and math students want to know: How many red blood cells are in the a human body? We can find the answer using scientific notation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/e/computing-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/place-value-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/simplifying-a-complicated-expression-into-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping whole numbers | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/X3JqIZR1XcY/default.jpg URL=http://www.youtube.com/watch?v=X3JqIZR1XcY description=A number like 675 is really an addition problem. Each place value is added together to form the sum (the number). If we regroup the numbers thereby changing the individual place values, we still don't change the outcome. It's still the same number! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/e/regrouping-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/v/regrouping-whole-numbers-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/v/largest-possible-number-from-4-digits-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping whole numbers example 2 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/h_fBMnB1i-0/default.jpg URL=http://www.youtube.com/watch?v=h_fBMnB1i-0 description=Let's work this example together. It will make clear the whole idea of regrouping whole numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/e/regrouping-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/counting%20tutorial/v/counting-1-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/v/regrouping-whole-numbers-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping whole numbers example 1 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/G_mUcQeXak8/default.jpg URL=http://www.youtube.com/watch?v=G_mUcQeXak8 description=This example problem gets the ole noggin working. We're regrouping numbers and having to determine how each place value shakes out. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/e/regrouping-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/v/regrouping-whole-numbers-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/v/regrouping-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping with decimals example 1 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/fNzM0lQHZsk/default.jpg URL=http://www.youtube.com/watch?v=fNzM0lQHZsk description=Similar to a problem we did earlier but with whole numbers, this time we're having to regroup with decimals and find the right answer. Take your time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/e/regrouping-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/v/regrouping-decimals-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/v/regrouping-with-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping with decimals | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3szFVS5p_7A/default.jpg URL=http://www.youtube.com/watch?v=3szFVS5p_7A description=We're doing more regrouping but this time using decimals. Just remember those place values! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/e/regrouping-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/e/regrouping-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/understanding-decimal-place-value-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping decimals example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/dNnItWLuHH4/default.jpg URL=http://www.youtube.com/watch?v=dNnItWLuHH4 description=Great decimal regrouping exercise. Do this one with us and see how well you've mastered the regrouping decimal topic! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/e/regrouping-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/v/decimals-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/v/regrouping-with-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value of a complex number | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/yvzyC4VBpUU/default.jpg URL=http://www.youtube.com/watch?v=yvzyC4VBpUU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/e/absolute_value_of_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/complex-number-polar-form-intuition-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/basic-complex-analysis?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using factors and multiples to figure out days of the week | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/S7CLLRHe8ik/default.jpg URL=http://www.youtube.com/watch?v=S7CLLRHe8ik description=Can you help us think of a mathematical way to determine what day of the week a certain number day falls on? You may say no....but wait! Watch this. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/math-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/number-patterns/v/math-patterns-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/u09-l1-t2-we4-adding-real-numbers-application?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=New Khan Academy learning flow thumb=https://i.ytimg.com/vi/jQQjbq0gMmE/default.jpg URL=http://www.youtube.com/watch?v=jQQjbq0gMmE type=video name=Constructing an angle bisector using a compass and straightedge | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/KNr52iFk7n4/default.jpg URL=http://www.youtube.com/watch?v=KNr52iFk7n4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/e/constructions_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/polygons-inscribed-in-circles/v/constructing-square-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/v/constructing-a-perpendicular-line-using-a-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a perpendicular line using a compass and straightedge | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/nM-O8llUdwg/default.jpg URL=http://www.youtube.com/watch?v=nM-O8llUdwg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/e/constructions_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/v/constructing-an-angle-bisector-using-a-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/v/constructing-a-perpendicular-bisector-using-a-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a perpendicular bisector using a compass and straightedge | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/WR2R_wrdEVY/default.jpg URL=http://www.youtube.com/watch?v=WR2R_wrdEVY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/e/constructions_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/v/constructing-a-perpendicular-line-using-a-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/v/distance-between-a-point-and-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radius and center for a circle equation in standard form | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/JvDpYlyKkNU/default.jpg URL=http://www.youtube.com/watch?v=JvDpYlyKkNU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/v/completing-the-square-to-write-equation-in-standard-form-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/conic_section_intro/v/introduction-to-conic-sections?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plotting complex numbers on the complex plane | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/kGzXIbauGQk/default.jpg URL=http://www.youtube.com/watch?v=kGzXIbauGQk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/e/the_complex_plane?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotation of polygons example thumb=https://i.ytimg.com/vi/Hur3v1hrX3U/default.jpg URL=http://www.youtube.com/watch?v=Hur3v1hrX3U description=More free lessons at: http://www.khanacademy.org/video?v=Hur3v1hrX3U/description type=video name=Determining a translation for a shape thumb=https://i.ytimg.com/vi/ZhROXmbUVKE/default.jpg URL=http://www.youtube.com/watch?v=ZhROXmbUVKE description=More free lessons at: http://www.khanacademy.org/video?v=ZhROXmbUVKE/description type=video name=Translations of polygons thumb=https://i.ytimg.com/vi/u9B-dV6r6rU/default.jpg URL=http://www.youtube.com/watch?v=u9B-dV6r6rU description=More free lessons at: http://www.khanacademy.org/video?v=u9B-dV6r6rU/description type=video name=Completing the square to write equation in standard form of a circle | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/XyDMsotfJhE/default.jpg URL=http://www.youtube.com/watch?v=XyDMsotfJhE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/e/equation_of_a_circle_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/v/conic-sections-intro-to-ellipses?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/v/radius-and-center-for-a-circle-equation-in-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Axis of symmetry | Transformations | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/LrTn4cvsewk/default.jpg URL=http://www.youtube.com/watch?v=LrTn4cvsewk description=Do you know identical twins? Or maybe you are one? If so, then you know something about symmetry. In geometry, the axis of symmetry separates two identical sides. Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/transformations-symmetry/v/example-rotating-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/transformations/properties-definitions-of-translations/v/possible-transformations-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shifting & reflecting functions | Algebra II | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/ENFNyNPYfZU/default.jpg URL=http://www.youtube.com/watch?v=ENFNyNPYfZU description=Sal walks through several examples of how to write g(x) implicitly in terms of f(x) when g(x) is a shift or a reflection of f(x). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/algebra2/manipulating-functions/stretching-functions/v/compressing-functions-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra2/manipulating-functions/shifting-functions/v/graphing-shifted-functions?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a sector given a central angle | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/u8JFdwmBvvQ/default.jpg URL=http://www.youtube.com/watch?v=u8JFdwmBvvQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/e/areas_of_circles_and_sectors?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/central-inscribed-circumscribed/v/inscribed-and-central-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/v/finding-central-angle-measure-given-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding central angle measure given arc length | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/1BH2TNzAAik/default.jpg URL=http://www.youtube.com/watch?v=1BH2TNzAAik description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/e/circles_and_arcs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/v/area-of-a-sector-given-a-central-angle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/v/length-of-an-arc-that-subtends-a-central-angle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Length of an arc that subtends a central angle | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/tVcasOt55Lc/default.jpg URL=http://www.youtube.com/watch?v=tVcasOt55Lc description=Watch the next lesson: https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/v/finding-central-angle-measure-given-arc-length?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/circles/v/circles-radius-diameter-and-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a kite | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/b8q6i_XPyhk/default.jpg URL=http://www.youtube.com/watch?v=b8q6i_XPyhk description=Who doesn't like kites? If you were going to make your own out of a piece of cloth, then knowing the area of the kite would be helpful, right? Let's see how it's done. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/e/areas_of_trapezoids_rhombi_and_kites?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/perimeter-of-a-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/area-of-a-trapezoid-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a trapezoid | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/j3-XYLnxJDY/default.jpg URL=http://www.youtube.com/watch?v=j3-XYLnxJDY description=A trapezoid is a cousin of the parallelogram. However, in trapezoids only two of the opposing sides are parallel to each other. Here we explain how to find its area. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/e/areas_of_trapezoids_rhombi_and_kites?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/area-of-a-kite?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/area-of-a-parallelogram?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conditional statements and deductive reasoning thumb=https://i.ytimg.com/vi/Q5gk9ljVuTE/default.jpg URL=http://www.youtube.com/watch?v=Q5gk9ljVuTE type=video name=Logical argument and deductive reasoning exercise example thumb=https://i.ytimg.com/vi/DIKkujAIeTY/default.jpg URL=http://www.youtube.com/watch?v=DIKkujAIeTY type=video name=Conditional statements exercise examples thumb=https://i.ytimg.com/vi/5FnwYwqIh7U/default.jpg URL=http://www.youtube.com/watch?v=5FnwYwqIh7U type=video name=Absolute value equation with no solution | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/15s6B7K9paA/default.jpg URL=http://www.youtube.com/watch?v=15s6B7K9paA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/e/evaluating_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value equation example | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/UvtWf4TVawE/default.jpg URL=http://www.youtube.com/watch?v=UvtWf4TVawE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/e/evaluating_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/e/absolute_value_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mixed number or improper fraction on a number line | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/g-SfwjbpA4U/default.jpg URL=http://www.youtube.com/watch?v=g-SfwjbpA4U description=Fraction or mixed number...either way you should end up on the same spot on the number line. Give it a try with us. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/fractions_on_the_number_line_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/fractions-cut-and-copy-2-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/changing-an-improper-fraction-to-a-mixed-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying two fractions: an explanation | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/x6xtezhuCZ4/default.jpg URL=http://www.youtube.com/watch?v=x6xtezhuCZ4 description=This video will help you think about what it means to multiply two fractions. By drawing the problem and "seeing" the answer, you'll better understand how we arrived at it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/e/multiplying_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-fractions-and-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying negative and positive fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/pi3WWQ0q6Lc/default.jpg URL=http://www.youtube.com/watch?v=pi3WWQ0q6Lc description=See examples of multiplying and dividing fractions with negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/e/multiplying_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplication-as-scaling?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying unit fractions and whole numbers | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4PlkCiEXBQI/default.jpg URL=http://www.youtube.com/watch?v=4PlkCiEXBQI description=Don't let multiplying whole numbers and fractions get you down. We got this. This explanation will help you become a pro. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/e/multiplying_fractions_by_integers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-a-fraction-by-a-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-subtract-fracs-wp-pre-alg/v/subtracting-fractions-with-unlike-denominators-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing a decimal by a whole number | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Z_NHrwK6ALE/default.jpg URL=http://www.youtube.com/watch?v=Z_NHrwK6ALE description=You're doing great. Now we want to mix it up a little: divide a decimal by a whole number. Follow along. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-a-whole-number-by-a-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-completely-to-get-decimal-answer-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formal and alternate form of the derivative for ln x | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/m8yC7kR5Fuk/default.jpg URL=http://www.youtube.com/watch?v=m8yC7kR5Fuk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/the-formal-and-alternate-form-of-the-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/alternate-form-of-the-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formal and alternate form of the derivative example 1 | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/ePh8iCbcXfA/default.jpg URL=http://www.youtube.com/watch?v=ePh8iCbcXfA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/the-formal-and-alternate-form-of-the-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-for-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formal and alternate form of the derivative | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Df2escG-Vu0/default.jpg URL=http://www.youtube.com/watch?v=Df2escG-Vu0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/the-formal-and-alternate-form-of-the-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-for-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2-5-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating instantaneous rate of change word problem | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/fI6w2kL295Y/default.jpg URL=http://www.youtube.com/watch?v=fI6w2kL295Y description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/approximating-equation-of-tangent-line-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slope-of-a-secant-line-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tangent slope as limiting value of secant slope example 2 | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/H5eIE7zdnvI/default.jpg URL=http://www.youtube.com/watch?v=H5eIE7zdnvI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/tangent-slope-is-limiting-value-of-secant-slope?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/tangent-slope-as-limiting-value-of-secant-slope-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/tangent-slope-as-limiting-value-of-secant-slope-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tangent slope as limiting value of secant slope example 1 | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/nGCW5teACC0/default.jpg URL=http://www.youtube.com/watch?v=nGCW5teACC0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/tangent-slope-is-limiting-value-of-secant-slope?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/tangent-slope-as-limiting-value-of-secant-slope-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-1-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating instantaneous rate of change word problem | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/2oHUkHYtQoM/default.jpg URL=http://www.youtube.com/watch?v=2oHUkHYtQoM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-1-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/approximating-instantaneous-rate-of-change-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tangent slope as limiting value of secant slope example 3 | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/hoRISaqp1Po/default.jpg URL=http://www.youtube.com/watch?v=hoRISaqp1Po description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/tangent-slope-is-limiting-value-of-secant-slope?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/tangent-slope-as-limiting-value-of-secant-slope-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying square roots | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/cw3mp8oNASk/default.jpg URL=http://www.youtube.com/watch?v=cw3mp8oNASk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/simplifying_radicals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/simplifying-radicals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/approximating-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cube root of a non-perfect cube | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8y7xP4zz0UY/default.jpg URL=http://www.youtube.com/watch?v=8y7xP4zz0UY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/e/cube_roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/v/simplifying-radical-expressions1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/v/finding-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing negative fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/H0q9Fqb8YT4/default.jpg URL=http://www.youtube.com/watch?v=H0q9Fqb8YT4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/e/dividing_fractions_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/dividing-a-whole-number-by-a-fraction-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting a fraction to a repeating decimal (example) | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Y2-tz27nKoQ/default.jpg URL=http://www.youtube.com/watch?v=Y2-tz27nKoQ description=Learn how to rewrite 19/27 as a repeating decimal. What's a repeating decimal? THAT is a great question. This video explains. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decimals-fractions-pre-alg/e/writing-fractions-as-repeating-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/creating-a-fraction-through-division-of-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decimals-fractions-pre-alg/v/ordering-numeric-expressions_dup_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gAV9kwvoD6s/default.jpg URL=http://www.youtube.com/watch?v=gAV9kwvoD6s description=When comparing decimals it's easy to get confused by the number of digits to the right of decimal. Is it a tenth, hundredth, or thousandth? This video will help you a lot! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/e/comparing_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/v/positive-and-negative-decimals-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals: difference in largest place value | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/f8B2dBQn3_U/default.jpg URL=http://www.youtube.com/watch?v=f8B2dBQn3_U description=Confused trying to determine which decimal is larger? Let's compare two decimals in this example. Remember that you're looking for the difference is the largest place value to find the larger decimal. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/e/comparing_decimals_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals-4?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Placing positive and negative decimals on a number line | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/w23DzA68KPE/default.jpg URL=http://www.youtube.com/watch?v=w23DzA68KPE description=These example exercises require us to interpret a number line in order to locate where our positive and negative decimals should be placed. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/e/decimals_on_the_number_line_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals-1-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/v/points-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting a graph exercise example | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/YyjpeoxdUXc/default.jpg URL=http://www.youtube.com/watch?v=YyjpeoxdUXc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/e/interpreting-graphs-of-linear-and-nonlinear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview/v/trolls-tolls-and-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/linear-and-nonlinear-functions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing and interpreting graphs thumb=https://i.ytimg.com/vi/C9Rzb_OFuhk/default.jpg URL=http://www.youtube.com/watch?v=C9Rzb_OFuhk description=More free lessons at: http://www.khanacademy.org/video?v=C9Rzb_OFuhk/description type=video name=Finding intercepts from a table | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/CGZZINHT0I8/default.jpg URL=http://www.youtube.com/watch?v=CGZZINHT0I8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/e/intercepts-from-table?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/x-and-y-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/finding-x-intercept-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the x-intercept of a line | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xiIQQNufFuU/default.jpg URL=http://www.youtube.com/watch?v=xiIQQNufFuU description=Sal determines the x-intercept of a linear equation from a graph. Afterwards, he checks his work by plugging values back into the equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/e/linear-function-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/finding-intercepts-for-a-linear-function-from-a-table?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/introduction-to-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting intercepts of linear functions thumb=https://i.ytimg.com/vi/RvS5VTV8O88/default.jpg URL=http://www.youtube.com/watch?v=RvS5VTV8O88 description=More free lessons at: http://www.khanacademy.org/video?v=RvS5VTV8O88/description type=video name=Interpreting linear tables word problems example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/eLUmpX_h9sw/default.jpg URL=http://www.youtube.com/watch?v=eLUmpX_h9sw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-tables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-linear-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/slope-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting linear graphs word problems example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/qo5jU_V6JVo/default.jpg URL=http://www.youtube.com/watch?v=qo5jU_V6JVo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-linear-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-linear-formulas-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-linear-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing and interpreting a linear function thumb=https://i.ytimg.com/vi/gAAzv_cvsG8/default.jpg URL=http://www.youtube.com/watch?v=gAAzv_cvsG8 description=More free lessons at: http://www.khanacademy.org/video?v=gAAzv_cvsG8/description type=video name=Constructing a linear function word problem thumb=https://i.ytimg.com/vi/qnvgI8co7BI/default.jpg URL=http://www.youtube.com/watch?v=qnvgI8co7BI description=More free lessons at: http://www.khanacademy.org/video?v=qnvgI8co7BI/description type=video name=Multiple rates word problem | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Uc2Tm4Lr7uI/default.jpg URL=http://www.youtube.com/watch?v=Uc2Tm4Lr7uI description=Sometimes you'll need to solve for multiple parts of the equation before getting at the answer. Here we solve for average speed, but first we have to determine total distance and total time. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/e/rate_problems_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/converting-pounds-to-ounces?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/finding-unit-prices?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of equations word problems example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/gRntusF_tVI/default.jpg URL=http://www.youtube.com/watch?v=gRntusF_tVI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/e/understanding-systems-of-equations-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/substitution-method-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving systems of two linear equations example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/bzseeIVEslA/default.jpg URL=http://www.youtube.com/watch?v=bzseeIVEslA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/e/systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/v/solving-systems-by-substitution-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of equations word problems example 4 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/grmmM_KhQ4U/default.jpg URL=http://www.youtube.com/watch?v=grmmM_KhQ4U description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/e/understanding-systems-of-equations-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/checking-solutions-of-inequalities/v/graphing-inequalities-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/substitution-method-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing proportional relationships example | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/1F7LAJEVp-U/default.jpg URL=http://www.youtube.com/watch?v=1F7LAJEVp-U description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/e/graphing-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/comparing-proportional-relationships-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing proportional relationships example 3 | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/LoKEPEPaNm4/default.jpg URL=http://www.youtube.com/watch?v=LoKEPEPaNm4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/e/graphing-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/v/descartes-and-cartesian-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing proportional relationships example 2 | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/R32xBmxXj2E/default.jpg URL=http://www.youtube.com/watch?v=R32xBmxXj2E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/e/graphing-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting linear expressions, 2 | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/edVnqL2Z59A/default.jpg URL=http://www.youtube.com/watch?v=edVnqL2Z59A description=Let's practice matching expressions to their meaning in this example of interpreting linear expressions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/e/interpreting-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-3-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/interpreting-linear-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting linear expressions, 1 | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ao9cx8JlJIU/default.jpg URL=http://www.youtube.com/watch?v=ao9cx8JlJIU description=We match the expressions to their meaning in this example. We're reinforcing our knowledge of linear expressions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/e/interpreting-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/interpreting-linear-expressions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/e/writing_expressions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding expressions | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/HB52UTcAv0g/default.jpg URL=http://www.youtube.com/watch?v=HB52UTcAv0g description=So what if we add not just numbers or variables..but expressions? Here's a simple example to get you thinking about this. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to expand an expressions using the distributive property | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/V-5q6tKaRuM/default.jpg URL=http://www.youtube.com/watch?v=V-5q6tKaRuM description=Learn how to expand the following expression that has rational coefficients: 6(-4w + 1/2) Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/factoring-algebraic-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-and-the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing whole numbers and fractions: studying | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/yb7lVnY_VCY/default.jpg URL=http://www.youtube.com/watch?v=yb7lVnY_VCY description=Solve a word problem by dividing a fraction by a whole number. The example used in this video is 1/5 ÷ 4. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/e/dividing_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/dividing-fractions-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/dividing-a-whole-number-by-a-fraction-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing whole numbers and fractions: potpourri | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xoXYirs2Mzw/default.jpg URL=http://www.youtube.com/watch?v=xoXYirs2Mzw description=Solve a word problem by dividing a whole number by a fraction. The example used in this video is 4 ÷ 1/5. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/e/dividing_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/dividing-a-fraction-by-a-whole-number-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/my-share-of-soap-as-a-mixed-number-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of subtracting fractions with unlike denominators word problem | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5fK8HEYNRuQ/default.jpg URL=http://www.youtube.com/watch?v=5fK8HEYNRuQ description=To find the answer to this word problem, we'll have to convert the mixed numbers into improper fractions first. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-subtract-fracs-wp-pre-alg/e/adding-and-subtracting-fractions-with-unlike-denominators-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-fractions-and-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-subtract-fracs-wp-pre-alg/v/adding-fractions-with-unlike-denominators-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of adding fractions with unlike denominators word problem | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PKh5B9xyzSc/default.jpg URL=http://www.youtube.com/watch?v=PKh5B9xyzSc description=We can do math problem all day long, but to really understand math--you have to apply it. Let's apply adding fractions to this word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-subtract-fracs-wp-pre-alg/e/adding-and-subtracting-fractions-with-unlike-denominators-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-subtract-fracs-wp-pre-alg/v/subtracting-fractions-with-unlike-denominators-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/adding-fractions-word-problem-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mixed numbers on a number line | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/V8C15AfL6Gk/default.jpg URL=http://www.youtube.com/watch?v=V8C15AfL6Gk description=Understand 3/2 on the number line by thinking about it as a mixed number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/e/understanding-fractions-as-division?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/dividing-a-whole-number-by-a-fraction-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/creating-a-fraction-through-division-of-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating a fraction through division of whole numbers | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Mcm0Q3wGhMo/default.jpg URL=http://www.youtube.com/watch?v=Mcm0Q3wGhMo description=Learn how 3 ÷ 2 is the same as 3 • 1/2, which is the same as 3/2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/e/understanding-fractions-as-division?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/my-share-of-soap-as-a-mixed-number-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decimals-fractions-pre-alg/v/converting-a-fraction-to-a-repeating-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals: writing it out in words 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/G7QiIkYfeME/default.jpg URL=http://www.youtube.com/watch?v=G7QiIkYfeME description=Here's another example involving writing out a decimal in words. Great practice. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/e/writing-and-interpreting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/expanding-out-a-decimal-by-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/decimal-place-value-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals: expanding out place value | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/he4kcTujy30/default.jpg URL=http://www.youtube.com/watch?v=he4kcTujy30 description=Let's expand a decimal out and really try to understand what it represents. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/e/writing-and-interpreting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/writing-a-decimal-to-represent-a-quantity?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/writing-out-a-decimal-in-words?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions word problem: bike to a friend | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tfjQVtOyoaQ/default.jpg URL=http://www.youtube.com/watch?v=tfjQVtOyoaQ description=You know how long it takes to bike to your friend's house, and you know how fast you can ride. So how far away does your friend live? The answer is one fraction multiplication problem away! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/e/multiplying-fractions-by-fractions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/comparing-improper-fractions-and-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-4?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions word problem: laundry emergency | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/KCehC_3CBBY/default.jpg URL=http://www.youtube.com/watch?v=KCehC_3CBBY description=Someone is about to run out of laundry detergent which means sticky clothes! Help her estimate how much she has left. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/e/multiplying-fractions-by-fractions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions word problem: movie marathon | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Yq9W6B7XnmU/default.jpg URL=http://www.youtube.com/watch?v=Yq9W6B7XnmU description=We want to do a movie marathon! Let's figure out how long our marathon will last if each movie length is represented as a mixed number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/e/multiplying-fractions-and-whole-numbers-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplication-as-scaling?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions word problem: milk love | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/GvgJ2_7P9SA/default.jpg URL=http://www.youtube.com/watch?v=GvgJ2_7P9SA description=Who doesn't love milk? Our family sure does. Let's figure out how much milk is consumed each month if each person consumes a fractional amount of milk. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/e/multiplying-fractions-and-whole-numbers-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions word problem: pigging out on pumpkin pie | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XDjbNykJ28E/default.jpg URL=http://www.youtube.com/watch?v=XDjbNykJ28E description=Oops! Someone tried to solve this problem and made a mistake. See if you can spot the error. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/e/multiplying-fractions-and-whole-numbers-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Word problem: What fraction of an hour should the piano still be practiced? | Khan Academy thumb=https://i.ytimg.com/vi/0njioQqIxKY/default.jpg URL=http://www.youtube.com/watch?v=0njioQqIxKY description=Better get practicing, Pedro! You have exactly (a fraction) more of an hour to practice the piano. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/e/adding-and-subtracting-fractions-with-like-denominators-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/adding-fractions-word-problem-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/adding-fractions-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Word problem: How long is this lizard? | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gPbN26bYyN8/default.jpg URL=http://www.youtube.com/watch?v=gPbN26bYyN8 description=Add the fractions to find out how long this lizard is. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/e/adding-and-subtracting-fractions-with-like-denominators-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-subtract-fracs-wp-pre-alg/v/adding-fractions-with-unlike-denominators-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/subtracting-fractions-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Word problem: What fraction of spider eyes are looking at me? | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5r2FYszC_sU/default.jpg URL=http://www.youtube.com/watch?v=5r2FYszC_sU description=You mean a spider has MORE than 2 eyes? Yikes! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/e/adding-and-subtracting-fractions-with-like-denominators-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/subtracting-fractions-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/subtracting-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decomposing a fraction visually | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/_E9fG8BYcBo/default.jpg URL=http://www.youtube.com/watch?v=_E9fG8BYcBo description=It helps to visually understand what decomposing a fraction looks like. We're pretty sure you're going to like this. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/e/decomposing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/v/decomposing-a-mixed-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/ordering-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decomposing a mixed number | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/erZe85NrsK0/default.jpg URL=http://www.youtube.com/watch?v=erZe85NrsK0 description=Decomposing mixed numbers is a pretty straightforward process. It's as simple as adding fractions with like denominators. Watch us do it! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/e/decomposing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/v/adding-up-to-a-fraction-drag-and-drop-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/v/decomposing-a-fraction-visually?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding up fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/l_Qj6aC6RV8/default.jpg URL=http://www.youtube.com/watch?v=l_Qj6aC6RV8 description=We need the sum of all the fractions to equal the given fraction. Can you help us choose which ones to use? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/e/decomposing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-with-10-and-100-as-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/v/decomposing-a-mixed-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fraction word problem example 3 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/2nZsIeaiJUo/default.jpg URL=http://www.youtube.com/watch?v=2nZsIeaiJUo description=We're comparing fractions using the info given in this word problem. Can you find the equivalent one? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/e/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/fractions-in-lowest-terms?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fraction word problem example 2 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/i-sAB-Z2_bE/default.jpg URL=http://www.youtube.com/watch?v=i-sAB-Z2_bE description=How do you find an equivalent fraction? If you know the denominator of both fractions, and the numerator of one of them...you can figure out the rest We'll show you in this word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/e/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing equivalent fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Bt60JVZRVCI/default.jpg URL=http://www.youtube.com/watch?v=Bt60JVZRVCI description=To understand equivalent fractions it helps to "see" the fractions using something like a grid with shaded and unshaded sections representing the fraction. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/e/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/plotting-basic-fractions-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fraction word problem example | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/dCQbfaQZtaY/default.jpg URL=http://www.youtube.com/watch?v=dCQbfaQZtaY description=Your teachers will tell you that being able to apply (or put to use) concepts helps you to learn them better. Here's a word problem in which you have to apply your knowledge of equivalent fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/e/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/visualizing-equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Common Core and the Khan Academy thumb=https://i.ytimg.com/vi/XGckntP3ynw/default.jpg URL=http://www.youtube.com/watch?v=XGckntP3ynw type=video name=Multiplying: understanding by using area models | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/p0jCw2sqZgs/default.jpg URL=http://www.youtube.com/watch?v=p0jCw2sqZgs description=If you're like us, you're a visual learner. Seeing a multiplication problem visualized using an area model really helps. Check it out! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication/e/multiplying-2-digit-numbers-with-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication/v/area-model-for-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/advanced-mult-div-word-problems/v/multi-step-word-problems-with-whole-numbers-exercise-3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying: using an area model | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/vbGwcvXgDlg/default.jpg URL=http://www.youtube.com/watch?v=vbGwcvXgDlg description=Using graph paper we'll map out an area model to help us with a multiplication problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication/e/multiplying-2-digit-numbers-with-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/area-models-multiplication/v/understanding-multiplication-through-area-models?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping numbers intro various place values | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/a_mzIWvHx_Y/default.jpg URL=http://www.youtube.com/watch?v=a_mzIWvHx_Y description=Thinking about numbers as expressions of different place values is really helpful. In this example we'll look at regrouping a number by different place values. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/e/understanding-whole-number-representations?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/v/comparing-whole-number-place-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/v/rounding-whole-numbers-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing whole number place values | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3Xcae0OGavk/default.jpg URL=http://www.youtube.com/watch?v=3Xcae0OGavk description=Which number is bigger? Which number is smaller? Are they equal? Use your knowledge of place value to find the answer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/e/understanding-whole-number-representations?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/v/largest-possible-number-from-4-digits-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/v/regrouping-numbers-intro-various-place-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Creating the largest possible number | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/k3qZCxL5TeE/default.jpg URL=http://www.youtube.com/watch?v=k3qZCxL5TeE description=Taking numbers and moving them into different place values to create the highest (and lowest) numbers possible. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/e/understanding-whole-number-representations?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/regrouping-whole-numbers/v/regrouping-whole-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/v/comparing-whole-number-place-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding y intercept given slope and point | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/KV_XLL4K2Fw/default.jpg URL=http://www.youtube.com/watch?v=KV_XLL4K2Fw description=Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/e/slope-intercept-equation-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/v/slope-intercept-form-from-table?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/v/equation-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope-intercept form from table | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/3Ayt7mOd_To/default.jpg URL=http://www.youtube.com/watch?v=3Ayt7mOd_To description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope-intercept-form/e/slope-intercept-equation-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope-intercept-form/v/linear-equations-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope-intercept-form/v/equation-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using algebra to find measures of angles formed from transversal | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Ld7Vxb5XV6A/default.jpg URL=http://www.youtube.com/watch?v=Ld7Vxb5XV6A description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/parallel_lines_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/ca-geometry-deducing-angle-measures?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/figuring-out-angles-between-transversal-and-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out angles between transversal and parallel lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/2WjGD3LZEWo/default.jpg URL=http://www.youtube.com/watch?v=2WjGD3LZEWo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/congruent_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/using-algebra-to-find-measures-of-angles-formed-from-transversal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/identifying-parallel-and-perpendicular-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find measure of vertical angles | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/2CZrkdtgeNU/default.jpg URL=http://www.youtube.com/watch?v=2CZrkdtgeNU description=Now that we've learned about complementary and supplementary angles, let's use algebra to find the measure of vertical angles, or angles opposite each other when two lines cross. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/vertical_angles_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/proof-vertical-angles-are-equal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/angles-at-the-intersection-of-two-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining probability | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/FICRd7Lp67s/default.jpg URL=http://www.youtube.com/watch?v=FICRd7Lp67s description=In this example, determine the scenarios that are probable given the rolling of two dice. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/e/dice_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/describing-subsets-of-sample-spaces-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/basic-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find measure of supplementary angles | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/zNtbi4OJs9I/default.jpg URL=http://www.youtube.com/watch?v=zNtbi4OJs9I description=Watch and understand how to find the measure of two angles whose sum is 180 degrees, or supplementary angles. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/e/angle_addition_postulate?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/transformations/rigid-transformations-intro/v/introduction-to-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/v/example-using-algebra-to-find-measure-of-complementary-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find measure of complementary angles | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/XDOH9Ul2OOM/default.jpg URL=http://www.youtube.com/watch?v=XDOH9Ul2OOM description=In this example, let's put some Algebra to work to find the measure of two angles whose sum equals 90 degrees, better knows as complementary angles. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/v/example-using-algebra-to-find-measure-of-supplementary-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/v/complementary-and-supplementary-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the vertex of a parabola example | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/IbI-l7mbKO4/default.jpg URL=http://www.youtube.com/watch?v=IbI-l7mbKO4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/vertex_of_a_parabola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphs-of-quadratic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/quadratic-functions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples using pythagorean identities to simplify trigonometric | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/4OEeVLo5V1o/default.jpg URL=http://www.youtube.com/watch?v=4OEeVLo5V1o description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/e/pythagorean_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/sin-angle-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/using-the-pythagorean-trig-identity?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double angle formula for cosine example | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/D_smr0GBPvA/default.jpg URL=http://www.youtube.com/watch?v=D_smr0GBPvA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/e/trig_addition_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formula-proofs/v/proof-angle-addition-sine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/cosine-addition-identity-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cosine addition identity example | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/h0SNEO25vIw/default.jpg URL=http://www.youtube.com/watch?v=h0SNEO25vIw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/e/trig_addition_identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/double-angle-formula-for-cosine-example-c?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formulas-trig/v/sine-angle-addition-2?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Defined and undefined matrix operations | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/O1-9f1g0OsI/default.jpg URL=http://www.youtube.com/watch?v=O1-9f1g0OsI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/e/defined_and_undefined_matrix_operations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/matrix-multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-column-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying a matrix by a column vector | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Awcj447pYuk/default.jpg URL=http://www.youtube.com/watch?v=Awcj447pYuk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/e/multiplying_a_matrix_by_a_vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/defined-and-undefined-matrix-operations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying a matrix by a matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/OMA2Mwo0aZg/default.jpg URL=http://www.youtube.com/watch?v=OMA2Mwo0aZg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/e/multiplying_a_matrix_by_a_matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-column-vector?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/matrix-multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing a parabola in vertex form | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/7QMoNY6FzvM/default.jpg URL=http://www.youtube.com/watch?v=7QMoNY6FzvM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/graphing_parabolas_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_inequalities/v/quadratic-inequality-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/parabola-intuition-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing a parabola using roots and vertex | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/MQtsRYPx3v0/default.jpg URL=http://www.youtube.com/watch?v=MQtsRYPx3v0 description=Multiple examples graphing parabolas using roots and vertices Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/graphing_parabolas_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/shifting-and-scaling-parabolas?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphs-of-quadratic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of cosines | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/ZElOxG7_m3c/default.jpg URL=http://www.youtube.com/watch?v=ZElOxG7_m3c description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/law_of_cosines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines-missing-angle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/angle-addition-formula-proofs/v/proof-angle-addition-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex number polar form intuition exercise | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/YZRzt_AsuVs/default.jpg URL=http://www.youtube.com/watch?v=YZRzt_AsuVs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/e/complex_number_polar_form_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/polar-form-complex-number?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/absolute-value-of-a-complex-number?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using the focus and directrix to find the equation of a parabola | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/XwtyQsCLnEE/default.jpg URL=http://www.youtube.com/watch?v=XwtyQsCLnEE description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/equation-for-parabola-from-focus-and-directrix?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/focus-and-directrix-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Factor a linear binomial by taking a common factor | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/mbb3msmX2xs/default.jpg URL=http://www.youtube.com/watch?v=mbb3msmX2xs description=Factor 4x+18 as 2(2x+9). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/e/factoring-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/v/factoring-and-the-distributive-property-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-factorization/v/monomial-greatest-common-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Factoring a difference of squares with leading coefficient other than 1 | Khan Academy thumb=https://i.ytimg.com/vi/jmbg-DKWuc4/default.jpg URL=http://www.youtube.com/watch?v=jmbg-DKWuc4 description=Factor 45x^2-125 as 5(3x+5)(3x-5). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_difference_of_squares_3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-trinomials-by-grouping-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/u09-l2-t1-we3-factoring-special-products-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 6: Factoring quadratics with two variables | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/0xrvRKHoO2g/default.jpg URL=http://www.youtube.com/watch?v=0xrvRKHoO2g description=Factor 30x^2+11xy+y^2 as (y+5x)(y+6x). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/e/factoring_polynomials_with_two_variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-trinomials-by-grouping-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-quadratics-with-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 5: Factoring quadratics with two variables (leading coefficient is 1) | Khan Academy thumb=https://i.ytimg.com/vi/DRpdoZQtvOM/default.jpg URL=http://www.youtube.com/watch?v=DRpdoZQtvOM description=Factor x^2+4xy-5y^2 as (x-y)(x+5y). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/e/factoring_polynomials_with_two_variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-quadratics-with-two-variables-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-trinomials-by-grouping-6?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to point-slope form | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/K_OI9LA54AA/default.jpg URL=http://www.youtube.com/watch?v=K_OI9LA54AA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/point-slope/e/converting_between_point_slope_and_slope_intercept?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/point-slope/v/point-slope-and-slope-intercept-form-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/linear-equations-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting from point slope to slope intercept form thumb=https://i.ytimg.com/vi/DtPhV8q2D2E/default.jpg URL=http://www.youtube.com/watch?v=DtPhV8q2D2E description=More free lessons at: http://www.khanacademy.org/video?v=DtPhV8q2D2E/description type=video name=How to find the domain and the range of a function given its graph (example) | Khan Academy thumb=https://i.ytimg.com/vi/sXP7VhU1gYE/default.jpg URL=http://www.youtube.com/watch?v=sXP7VhU1gYE description=Sal solves multiple examples where the graph of a function is given and the question asks for the domain or the range of that function. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/e/domain_and_range_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/v/range-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Testing solutions to linear equations | Graphing lines and slope | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/WU9g4CvZyR0/default.jpg URL=http://www.youtube.com/watch?v=WU9g4CvZyR0 description=Sal figures out which equation was used to generate a table of x and y values. Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/e/plugging_in_values?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-intercepts/v/graphing-using-x-and-y-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/v/ordered-pair-solutions-of-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of shaded region made from equilateral triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/QVxqgxVtKbs/default.jpg URL=http://www.youtube.com/watch?v=QVxqgxVtKbs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/e/shaded_areas?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/challenging-perimeter-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractions cut and copy 1 exercise thumb=https://i.ytimg.com/vi/xeLeYS7GRvY/default.jpg URL=http://www.youtube.com/watch?v=xeLeYS7GRvY description=More free lessons at: http://www.khanacademy.org/video?v=xeLeYS7GRvY/description type=video name=Fractions cut and copy 2 exercise example | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ouAFk0Jy6TY/default.jpg URL=http://www.youtube.com/watch?v=ouAFk0Jy6TY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/fractions_cut_and_copy_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/points-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/postive-improper-fractions-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing algebraic expressions example 2 | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Es8yvgc5kvY/default.jpg URL=http://www.youtube.com/watch?v=Es8yvgc5kvY description=Like other exercises in this tutorial, we're rewriting statements into algebraic expression. This time we have to choose which is the correct one among those given. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/e/writing_expressions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/interpreting-linear-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractional exponents with numerators other than 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/S34NM0Po0eA/default.jpg URL=http://www.youtube.com/watch?v=S34NM0Po0eA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponent-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/negative-fractional-exponent-examples-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=One-sided limits from graphs | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/nOnd3SiYZqM/default.jpg URL=http://www.youtube.com/watch?v=nOnd3SiYZqM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/limits_topic/calculus-estimating-limits-graph/e/one-sided-limits-from-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/calculus-estimating-limits-graph/v/limit-at-a-point-of-discontinuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/numerically-estimating-limit?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting slope of a curve exercise | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/CpDfay5NeCg/default.jpg URL=http://www.youtube.com/watch?v=CpDfay5NeCg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/recognizing_slope?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/graphs-of-functions-and-their-derivatives-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/derivative-intuition-module?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing concavity exercise | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/ulyyusmpc9w/default.jpg URL=http://www.youtube.com/watch?v=ulyyusmpc9w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/e/recognizing_concavity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/v/inflection-points?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/v/concavity-concave-upwards-and-concave-downwards-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vertical, adjacent and linearly paired angles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/vAlazPPFlyY/default.jpg URL=http://www.youtube.com/watch?v=vAlazPPFlyY description=Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/angle-measurement-and-circle-arcs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/acute-right-and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perimeter of a shape | Measurement | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/sJmLjUj_h68/default.jpg URL=http://www.youtube.com/watch?v=sJmLjUj_h68 description=Find perimeter of various shapes. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/e/perimeter_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/v/comparing-area-and-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/measurement/perimeter/v/introduction-to-perimeter?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing completely to get decimal answer example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/7ZwSd9gtnwI/default.jpg URL=http://www.youtube.com/watch?v=7ZwSd9gtnwI description=Sometimes the number that you're dividing by is larger than the number that is being divided and won't go into it even once! What do you do? Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-a-decimal-by-a-whole-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-completely-to-get-decimal-answer?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing completely to get decimal answer | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xUDlKV8lJbM/default.jpg URL=http://www.youtube.com/watch?v=xUDlKV8lJbM description=Sometimes, in order divide numbers completely you have to add a decimal and bring down places. Let's do it together, shall we? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-completely-to-get-decimal-answer-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/more-involved-multiplying-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic fractional exponents | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/lZfXc4nHooo/default.jpg URL=http://www.youtube.com/watch?v=lZfXc4nHooo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/solving-for-a-fractional-exponent?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/simplifying-expressions-with-exponents-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative fractional exponent examples | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tn53EdOr6Rw/default.jpg URL=http://www.youtube.com/watch?v=tn53EdOr6Rw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/negative-fractional-exponent-examples-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/simplifying-with-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating fractional exponents: fractional base | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/bIFdW0NZ9W4/default.jpg URL=http://www.youtube.com/watch?v=bIFdW0NZ9W4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponents-with-numerators-other-than-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/negative-fractional-exponent-examples?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope of a secant line example 3 | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/H6ZNLD1AeM8/default.jpg URL=http://www.youtube.com/watch?v=H6ZNLD1AeM8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/approximating-instantaneous-rate-of-change-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slopes-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative exponents | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JnpqlXN9Whw/default.jpg URL=http://www.youtube.com/watch?v=JnpqlXN9Whw description=How does a negative exponent affect our answer? Before you assume that the answer must be negative, think again! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/e/exponents_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/negative-exponent-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/v/exponent-rules-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope of a line secant to a curve | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/8r8Vp_1iB4k/default.jpg URL=http://www.youtube.com/watch?v=8r8Vp_1iB4k description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slope-of-a-secant-line?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/intro_differential_calc/v/newton-leibniz-and-usain-bolt?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope of a secant line example 1 | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/0zExhHh7_Ic/default.jpg URL=http://www.youtube.com/watch?v=0zExhHh7_Ic description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slopes-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slope-of-a-line-secant-to-a-curve?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope of a secant line example 2 | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/XdsifNBa9kk/default.jpg URL=http://www.youtube.com/watch?v=XdsifNBa9kk description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/e/slope-of-secant-lines?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slope-of-a-secant-line-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/slope-of-a-secant-line?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Powers of fractions | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/oEgeUk_Ix2c/default.jpg URL=http://www.youtube.com/watch?v=oEgeUk_Ix2c description=Just like whole numbers with exponents, fractions are repeatedly multiplied. If you know how to multiply fractions, you're over half way there. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/e/exponents_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/powers-of-zero?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/powers-of-1-and-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Patterns in raising 1 and -1 to different powers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/jYOfMszfzAQ/default.jpg URL=http://www.youtube.com/watch?v=jYOfMszfzAQ description=Use odd and even rules to determine the sign of an exponential expression. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/e/exponents_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/powers-of-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/raising-a-number-to-the-0th-and-1st-power?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to fractions thumb=https://i.ytimg.com/vi/kZzoVCmUyKg/default.jpg URL=http://www.youtube.com/watch?v=kZzoVCmUyKg type=video name=Recognizing fractions exercise thumb=https://i.ytimg.com/vi/dXHqO955HxE/default.jpg URL=http://www.youtube.com/watch?v=dXHqO955HxE type=video name=Raising a number to the 0 and 1st power | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/dAvosUEUH6I/default.jpg URL=http://www.youtube.com/watch?v=dAvosUEUH6I description=Discover a pattern that explains why any non-zero number to the zero power equals one. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/e/exponents_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/powers-of-1-and-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/understanding-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to exponents | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XZRQhkii0h0/default.jpg URL=http://www.youtube.com/watch?v=XZRQhkii0h0 description=Taking an exponent is basically the act of repeated multiplication. You know how to multiply, right? If so, understanding exponents is completely within your grasp! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/e/positive_and_zero_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/understanding-exponents-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/exponents-warmup?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimating the line of best fit exercise | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ioieTr41L24/default.jpg URL=http://www.youtube.com/watch?v=ioieTr41L24 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/regression/regression-correlation/e/plotting_the_line_of_best_fit?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/squared-error-of-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/fitting-a-line-to-data?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out how much pizza is left | Fractions | 4th grade | Khan Academy thumb=https://i.ytimg.com/vi/u2hLYcmI5y4/default.jpg URL=http://www.youtube.com/watch?v=u2hLYcmI5y4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-word-problems/e/fraction_word_problems_1?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-add-sub-word-problems/v/adding-fractions-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fourth-grade-math/cc-4th-fractions-topic/cc-4th-adding-subtracting-frac/v/subtracting-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=4thgrade Grade 4th on Khan Academy: 4th grade is the time to start really fine-tuning your arithmetic skills. Not only will you be a multi-digit addition and subtraction rockstar, but you'll extend the multiplication and division that you started in 3rd grade to several digits. You'll also discover that you sometimes have something left over (called a "remainder") when you divide. In 3rd grade you learned what a fraction is. Now you'll start adding, subtracting, multiplying, and comparing them. You'll also see how they relate to decimals. On other fronts, you'll learn how to convert between different units (which is super important when comparing the size and speed of robot unicorns in different countries) and continue your journey thinking about various shapes in two dimensions. Some of the foundational concepts of geometry (like lines, rays and angles) also get introduced. As always, we'll round this out with a healthy dose of applied word problems and explorations of number patterns and properties (including the ideas of factors, multiples and prime numbers). The fun must not stop! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 4th grade channel: https://www.youtube.com/channel/UC3w8CkX9EJegLVKUj0-mo8A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plotting basic fractions on the number line | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/fVsxYtXOIXg/default.jpg URL=http://www.youtube.com/watch?v=fVsxYtXOIXg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/e/fractions_on_the_number_line_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/plotting-basic-fractions-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/numerator-and-denominator-of-a-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals: choosing a number to represent place value | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-oFlAhtear4/default.jpg URL=http://www.youtube.com/watch?v=-oFlAhtear4 description=Let's decide the number of each place value to make the given decimal. We can do it together! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/e/understanding_decimals_place_value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/v/regrouping-with-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/comparing-place-values-in-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing solutions to systems of equations | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/Z96vkuybvjE/default.jpg URL=http://www.youtube.com/watch?v=Z96vkuybvjE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-solutions/e/constructing-consistent-and-inconsistent-system?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems/v/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-solutions/v/practice-thinking-about-number-of-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Implied volatility | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/VIHldsSmASU/default.jpg URL=http://www.youtube.com/watch?v=VIHldsSmASU description=Created by Sal Khan. Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/black-scholes/v/introduction-to-the-black-scholes-formula?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the Black-Scholes formula | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/pr-u4LCFYEY/default.jpg URL=http://www.youtube.com/watch?v=pr-u4LCFYEY description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/black-scholes/v/implied-volatility?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut/v/interest-rate-swap-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope and triangle similarity 4 thumb=https://i.ytimg.com/vi/VDnIdNM4tWI/default.jpg URL=http://www.youtube.com/watch?v=VDnIdNM4tWI description=More free lessons at: http://www.khanacademy.org/video?v=VDnIdNM4tWI/description type=video name=Slope and triangle similarity 3 thumb=https://i.ytimg.com/vi/TINBeqCzLVk/default.jpg URL=http://www.youtube.com/watch?v=TINBeqCzLVk description=More free lessons at: http://www.khanacademy.org/video?v=TINBeqCzLVk/description type=video name=Slope and triangle similarity 2 thumb=https://i.ytimg.com/vi/Gt7adTCc8qw/default.jpg URL=http://www.youtube.com/watch?v=Gt7adTCc8qw description=More free lessons at: http://www.khanacademy.org/video?v=Gt7adTCc8qw/description type=video name=Similar triangles to prove that the slope is constant for a line | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/24WMbh1BBKc/default.jpg URL=http://www.youtube.com/watch?v=24WMbh1BBKc description=Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-intuition-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/positive-and-negative-slope?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope and triangle similarity 1 thumb=https://i.ytimg.com/vi/4cxjvAPs92o/default.jpg URL=http://www.youtube.com/watch?v=4cxjvAPs92o description=More free lessons at: http://www.khanacademy.org/video?v=4cxjvAPs92o/description type=video name=Comparing proportional relationships thumb=https://i.ytimg.com/vi/b-w0S0EBsfQ/default.jpg URL=http://www.youtube.com/watch?v=b-w0S0EBsfQ description=More free lessons at: http://www.khanacademy.org/video?v=b-w0S0EBsfQ/description type=video name=Writing an equation for a proportional relationship (example) | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/dBGeri4eFv4/default.jpg URL=http://www.youtube.com/watch?v=dBGeri4eFv4 description=Writing an equation to describe the relationship between the number of scoops in an ice cream cone and the price Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/e/writing-proportional-equations?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/examples-interpreting-graphs-of-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/equations-of-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying a proportional relationship from a table (example) | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/jNUz0P5MG9M/default.jpg URL=http://www.youtube.com/watch?v=jNUz0P5MG9M description=Given a table of ratios, watch as we test them for equivalence and determine whether the relationship is proportional. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/e/analyzing-and-identifying-proportional-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/movie-ticket-proportionality?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-proportional-rel/v/testing-whether-area-is-proportional-to-side-length?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing and identifying proportional relationships ex1 thumb=https://i.ytimg.com/vi/svUt84Touyc/default.jpg URL=http://www.youtube.com/watch?v=svUt84Touyc description=More free lessons at: http://www.khanacademy.org/video?v=svUt84Touyc/description type=video name=Analyzing and identifying proportional relationships ex2 thumb=https://i.ytimg.com/vi/4iUdgr_ccxk/default.jpg URL=http://www.youtube.com/watch?v=4iUdgr_ccxk description=More free lessons at: http://www.khanacademy.org/video?v=4iUdgr_ccxk/description type=video name=Adding decimals word problem | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/c4fUaD4g4mc/default.jpg URL=http://www.youtube.com/watch?v=c4fUaD4g4mc description=Here's a simple word problem asking us to put our adding decimals skill to work. We sound like a broken record, but be sure and ALIGN DECIMALS. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/adding_and_subtracting_decimals_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding decimals: example 1 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/oLh_sIESQnY/default.jpg URL=http://www.youtube.com/watch?v=oLh_sIESQnY description=Learn how to add 9.087 to 15.31. Line those decimals up first. Careful! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/adding_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/another-ordering-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding decimals: example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ErHFQUhZ94I/default.jpg URL=http://www.youtube.com/watch?v=ErHFQUhZ94I description=Let's practice another adding decimals problem: 0.822 plus 5.65. We'll do it together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/adding_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LCM and GCF word problems | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/1Vb8t7Y-pI0/default.jpg URL=http://www.youtube.com/watch?v=1Vb8t7Y-pI0 description=Here we have a couple of word problems--one searching for the least common multiple and the other for the greatest common factor. Just read them with us slowly and follow along. You'll get it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/e/gcf-and-lcm-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/decimal-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/v/greatest-common-divisor?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Greatest common factor exercise | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/bLTfBvkrfsM/default.jpg URL=http://www.youtube.com/watch?v=bLTfBvkrfsM description=Find the biggest number that will divide into the given 2 numbers. This is called the GCF or greatest common factor.No worries, we'll show you how to do it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/e/greatest_common_divisor?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/v/greatest-common-divisor?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/v/least-common-multiple-lcm?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Least common multiple exercise 2 | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QUem_2dkB9I/default.jpg URL=http://www.youtube.com/watch?v=QUem_2dkB9I description=Here's a lcm (least common multiple) example exercise that's a little bit harder, but totally doable. Again, we'll use the prime factorization approach. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/e/least_common_multiple?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/v/least-common-multiple-lcm?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/v/least-common-multiple-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Least common multiple exercise | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/znmPfDfsir8/default.jpg URL=http://www.youtube.com/watch?v=znmPfDfsir8 description=We're practicing finding the least common multiple in these example exercises. We'll teach you the prime factorization approach which is a pretty nifty way to find the lcm (least common multiple). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/e/least_common_multiple?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/v/least-common-multiple-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/common-divisibility-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Prime factorization exercise | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XWq8bplP-_E/default.jpg URL=http://www.youtube.com/watch?v=XWq8bplP-_E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/e/prime_factorization?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/the-fundamental-theorem-of-arithmetic?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/prime-factorization?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rational number word problem with proportions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/KiVGac1aBt8/default.jpg URL=http://www.youtube.com/watch?v=KiVGac1aBt8 description=Use your knowledge of proportions and fractions to determine shareholders' profit in this word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/rational-number-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/u09-l1-t2-we4-adding-real-numbers-application?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/rational-number-word-problem-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rational number word problem with ratios | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/oqAgaGeBOAU/default.jpg URL=http://www.youtube.com/watch?v=oqAgaGeBOAU description=In this word problem, we'll compare the weight of two objects using a ratio of integers. We'll practice simplifying a fraction, too. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/rational-number-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/rational-number-word-problem-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/rational-number-word-problem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rational number word problem with fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/MZpULgKhaEU/default.jpg URL=http://www.youtube.com/watch?v=MZpULgKhaEU description=Word problems force us to put concepts to work using real-world applications. In this example, determine the volume of frozen water and express the answer as a fraction. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/rational-number-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/rational-number-word-problem-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/inequalities-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing and interpreting absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/FogJFEEYuO0/default.jpg URL=http://www.youtube.com/watch?v=FogJFEEYuO0 description=Apply an understanding of absolute value and adding/subtracting negative numbers to solve word problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/abs-value-pre-alg/e/constructing-and-interpreting-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/divisibility-tests-for-2-3-4-5-6-9-10?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/abs-value-pre-alg/v/absolute-value-word-problems-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Distance between a point and a line | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/iATjsfAX8yc/default.jpg URL=http://www.youtube.com/watch?v=iATjsfAX8yc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/e/distance_between_point_and_line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometric-constructions/geo-bisectors/v/constructing-a-perpendicular-bisector-using-a-compass-and-straightedge?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/v/equations-of-parallel-and-perpendicular-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing by two digits example 2 | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/xXIG8ouHcsc/default.jpg URL=http://www.youtube.com/watch?v=xXIG8ouHcsc description=Here's another practice example where you divide by two digits. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/e/division_3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/lattice_multiplication/v/lattice-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/division-3-more-long-division-and-remainder-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing numbers: example with remainders | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/MbpmP1esh-Q/default.jpg URL=http://www.youtube.com/watch?v=MbpmP1esh-Q description=Let's work this division problem together. Our division is getting "longer" as the numbers get bigger, but that won't be a problem for you! Watch for the remainder. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/e/division_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/division-3-more-long-division-and-remainder-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/introduction-to-remainders?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative number word problem | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Oo2vGhVkvDo/default.jpg URL=http://www.youtube.com/watch?v=Oo2vGhVkvDo description=Use a number line to solve a word problem that includes a negative number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/e/negative_number_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/u09-l1-t2-we4-adding-real-numbers-application?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/why-subtracting-a-negative-equivalent-to-adding-a-positive?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: graphing points | Geometry | 5th grade | Khan Academy thumb=https://i.ytimg.com/vi/4vNloi-zNjU/default.jpg URL=http://www.youtube.com/watch?v=4vNloi-zNjU description=Given a dot plot with different measurements of trail mix in bags, find the amount of trail mix each bag would contain if the total amount in all the bags were redistributed equally. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data/e/interpreting-line-plots-with-fraction-multiplication-and-division?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-geometry-topic/cc-5th-coordinate-plane/v/graphing-points-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-measurement-topic/cc-5th-data/v/redistributing-trail-mix?utm_source=YT&utm_medium=Desc&utm_campaign=5thgrade Grade 5th on Khan Academy: Whether you are a robot, possum, magic unicorn, or just a normal human being, 5th grade is incredible! You will deepen your knowledge of the decimals that you were first exposed to in 4th grade. In particular, you'll learn to do all the arithmetic operations--addition, subtraction, multiplication, division--with them and really understand what a decimal represents. This will be complemented by building your fraction muscles where you'll learn to add, subtract, and multiply any fractions (and begin to divide them). On the measurement front, you'll explore volume (or how much "space" something takes up) and continue the unit conversion journey begun in 4th grade. 5th grade is also the first time that you get exposed to the fundamental concept of graphing points on a coordinate plane, and you'll get a very brief exposure to the concept of exponents (when exploring "powers" of 10)! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 5th grade channel: https://www.youtube.com/channel/UC863zh-pV0ouzWm2kBg3aSA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: word problem exercise | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/PC_FoyewoIs/default.jpg URL=http://www.youtube.com/watch?v=PC_FoyewoIs description=In this word problem, we need to plot the ordered pairs and then figure out the difference in the y coordinate between the two. This will give us our answer! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/e/relative-position-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/reflecting-points-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/graphing-points-and-naming-quadrants-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: graphing points and naming quadrants | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/Jeh5vudjmLI/default.jpg URL=http://www.youtube.com/watch?v=Jeh5vudjmLI description=This is a great exercise example in which we plot the ordered pair and then identify which quadrant the point lies. You'll get the hang of this quickly! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/e/graphing_points_2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/coordinate-plane-word-problems-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/quadrants-of-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: reflecting points | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/INqaHHZGt8w/default.jpg URL=http://www.youtube.com/watch?v=INqaHHZGt8w description=Just like looking at a mirror image of yourself, but flipped....a reflection point is the mirror point on the opposite axis. Watch this tutorial and reflect :) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/e/reflecting-points?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and-multiples/cc-6th-lcm/v/least-common-multiple-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/coordinate-plane-word-problems-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing and solving equations in the real world 1 exercise thumb=https://i.ytimg.com/vi/0UIrs9BgCS8/default.jpg URL=http://www.youtube.com/watch?v=0UIrs9BgCS8 description=More free lessons at: http://www.khanacademy.org/video?v=0UIrs9BgCS8/description type=video name=How to plot inequalities on a number line | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ilWDSYnTEFs/default.jpg URL=http://www.youtube.com/watch?v=ilWDSYnTEFs description=Learn how to graph an inequality on a number line to indicate which values make it true. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/e/writing-numerical-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/writing-numerical-inequalities-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/greater-than-and-less-than-symbols?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Greater than and less than symbols | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/nFsQA2Zvy1o/default.jpg URL=http://www.youtube.com/watch?v=nFsQA2Zvy1o description=Learn the greater than symbol and the less than symbol. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/e/comparing_whole_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/plotting-inequalities-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/v/multistep-word-problems-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ratio word problem: centimeters to kilometers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tOd2T72eJME/default.jpg URL=http://www.youtube.com/watch?v=tOd2T72eJME description=Let's solve this word problem using what we know about ratios so far. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/ratio_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/understanding-proportions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/ratio-word-problem-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ratio word problem: boys to girls | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Vx5uoZAkxng/default.jpg URL=http://www.youtube.com/watch?v=Vx5uoZAkxng description=In this example, we are given a ratio and then asked to apply that ratio to solve a problem. No problem! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/ratio_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/ratio-word-problem-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/simplifying-rates-and-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Specifying planes in three dimensions | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/J2Qz-7ZWDAE/default.jpg URL=http://www.youtube.com/watch?v=J2Qz-7ZWDAE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/points_lines_and_planes?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/geometric-precision-practice?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/drawing-lines-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regrouping (borrowing) twice example | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/OJ-wajo6oa4/default.jpg URL=http://www.youtube.com/watch?v=OJ-wajo6oa4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-concept/v/multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/alternate-mental-subtraction-method?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Borrowing once example 1 | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/RRk5qLd__Ro/default.jpg URL=http://www.youtube.com/watch?v=RRk5qLd__Ro description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/borrowing-once-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-from-0-when-subtracting-three-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Borrowing once example 2 | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/8_fT1BsTmt4/default.jpg URL=http://www.youtube.com/watch?v=8_fT1BsTmt4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/alternate-mental-subtraction-method?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/borrowing-once-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using expressions to understand relationships | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/zTLxxezKUT8/default.jpg URL=http://www.youtube.com/watch?v=zTLxxezKUT8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/e/structure-in-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/2-variable-linear-equations-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/reasoning-through-inequality-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reasoning through inequality expressions | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/0_VaUYoNV7Y/default.jpg URL=http://www.youtube.com/watch?v=0_VaUYoNV7Y description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/e/structure-in-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/using-expressions-to-understand-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/dogs-cats-and-bears-in-a-pet-store-analytic-argument?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dogs cats and bears in a pet store visual argument | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/glEP04Pzap8/default.jpg URL=http://www.youtube.com/watch?v=glEP04Pzap8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/e/structure-in-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/dogs-cats-and-bears-in-a-pet-store-analytic-argument?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/writing-and-using-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dogs cats and bears in a pet store analytic argument | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/mpHMuaVW0DI/default.jpg URL=http://www.youtube.com/watch?v=mpHMuaVW0DI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/e/structure-in-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/reasoning-through-inequality-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/dogs-cats-and-bears-in-a-pet-store-visual-argument?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A Conversation with Thomas Friedman thumb=https://i.ytimg.com/vi/6Qr99-l1Oos/default.jpg URL=http://www.youtube.com/watch?v=6Qr99-l1Oos description=May 1, 2013 at the Khan Academy office in Mountain View More free lessons at: http://www.khanacademy.org/video?v=6Qr99-l1Oos/description type=video name=TODAY Show: Tech companies changing face of education thumb=https://i.ytimg.com/vi/d4UQFgAdxUs/default.jpg URL=http://www.youtube.com/watch?v=d4UQFgAdxUs type=video name=New Khan Academy history content thumb=https://i.ytimg.com/vi/708-KVUh7_0/default.jpg URL=http://www.youtube.com/watch?v=708-KVUh7_0 type=video name=Writing a fraction as a repeating decimal thumb=https://i.ytimg.com/vi/cvjTBFs1Wqc/default.jpg URL=http://www.youtube.com/watch?v=cvjTBFs1Wqc type=video name=Recognizing rational numbers thumb=https://i.ytimg.com/vi/xohcKRvDDQY/default.jpg URL=http://www.youtube.com/watch?v=xohcKRvDDQY type=video name=Recognizing rational and irrational numbers (examples) | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/d9pO2z2qvXU/default.jpg URL=http://www.youtube.com/watch?v=d9pO2z2qvXU description=Given a bunch of numbers, learn how to tell which are rational and which are irrational. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/e/recognizing-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/sum-and-product-of-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/proof-that-there-is-an-irrational-number-between-any-two-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Percent word problem example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/AjYil74WrVo/default.jpg URL=http://www.youtube.com/watch?v=AjYil74WrVo description=It's nice to practice conversion problems, but how about applying our new knowledge of percentages to a real life problem like recycling? Hint: don't forget your long division! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/finding_percents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/identifying-percent-amount-and-base?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/finding-percentages-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Percent word problem example 3 | Ratios, rates, and percentages | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/gKywkLHV6Ko/default.jpg URL=http://www.youtube.com/watch?v=gKywkLHV6Ko description=You're given the percent in this example and asked to find the whole number represented by the percent. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-word-problems/e/percentage_word_problems_1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-word-problems/v/solving-percent-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-word-problems/v/percent-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Positive and negative intervals examples | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/eDv7dk9uNmM/default.jpg URL=http://www.youtube.com/watch?v=eDv7dk9uNmM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/positive_and_negative_parts_of_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-odd-and-even-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/radical-function-graphs-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating composite functions example | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/jlID_mIJXi4/default.jpg URL=http://www.youtube.com/watch?v=jlID_mIJXi4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/e/functions_3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/modeling-with-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/new-function-from-composition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to evaluate an expression that contains function notation (example) | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/uaPm3Tpuxbc/default.jpg URL=http://www.youtube.com/watch?v=uaPm3Tpuxbc description=Sal evaluates -2*f(-6)+g(1) given the graphs of f and g. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/functions-and-function-notation/e/functions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/functions-and-function-notation/v/difference-between-equations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/functions-and-function-notation/v/understanding-function-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is a function? | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/kvGsIo1TmsM/default.jpg URL=http://www.youtube.com/watch?v=kvGsIo1TmsM description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/difference-between-equations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/systems-of-nonlinear-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-step word problem with fractions and units of time | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QfsK8ZyC_bE/default.jpg URL=http://www.youtube.com/watch?v=QfsK8ZyC_bE description=Remember units of measurement? Convert minutes into hours and put your knowledge of fractions to work in this word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/e/multistep-equations-without-variables?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/v/multistep-word-problems-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/v/multistep-word-problems-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-step word problem with addition, subtraction, and multiplication | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-sSDb_wZqKQ/default.jpg URL=http://www.youtube.com/watch?v=-sSDb_wZqKQ description=Budgeting money is one of the most valuable math skills you'll learn. Practice with us as we figure out how much money is left after a cab fare. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/e/multistep-equations-without-variables?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/greater-than-and-less-than-symbols?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/v/multistep-word-problems-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-step word problem with decimals and subtraction | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/GwycEivqYYI/default.jpg URL=http://www.youtube.com/watch?v=GwycEivqYYI description=First visualize this word problem then use subtraction and multiplication of decimals and fractions to get at the answer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/e/multistep-equations-without-variables?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/v/multistep-word-problems-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/misleading-line-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing linear functions word problems 3 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/kJIqoTw_Og8/default.jpg URL=http://www.youtube.com/watch?v=kJIqoTw_Og8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/e/comparing-features-of-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/linear-functions-modeling/v/graphing-linear-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing linear functions word problems 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/MKErxh58RME/default.jpg URL=http://www.youtube.com/watch?v=MKErxh58RME description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/e/comparing-features-of-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing linear functions 3 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/QYoNHOjr7Rg/default.jpg URL=http://www.youtube.com/watch?v=QYoNHOjr7Rg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/e/comparing-features-of-functions-0-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing linear functions word problems 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/NOsnG2DkGKM/default.jpg URL=http://www.youtube.com/watch?v=NOsnG2DkGKM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/e/comparing-features-of-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-6?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing linear functions 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/fZO-JylMFqY/default.jpg URL=http://www.youtube.com/watch?v=fZO-JylMFqY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/e/comparing-features-of-functions-0-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-linear-formulas-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of nonlinear equations 1 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/cdY0b4ziR5U/default.jpg URL=http://www.youtube.com/watch?v=cdY0b4ziR5U description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/systems-of-nonlinear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/systems-of-nonlinear-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/non-linear-systems-of-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of nonlinear equations 3 | Systems of equations and inequalities | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/swFohliPgmQ/default.jpg URL=http://www.youtube.com/watch?v=swFohliPgmQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/systems-of-nonlinear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/what-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/systems-of-nonlinear-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of nonlinear equations 2 | Systems of equations and inequalities | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/GQf1vjfxuo8/default.jpg URL=http://www.youtube.com/watch?v=GQf1vjfxuo8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/systems-of-nonlinear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/systems-of-nonlinear-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/systems-of-nonlinear-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing linear functions 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/wl2iQAuQl7Y/default.jpg URL=http://www.youtube.com/watch?v=wl2iQAuQl7Y description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/e/comparing-features-of-functions-0-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/comparing_linear_functions/v/comparing-features-of-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the average rate of change from a graph (example) | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/TEXSW-o8674/default.jpg URL=http://www.youtube.com/watch?v=TEXSW-o8674 description=Sal finds the interval in a function's graph where the function has an average rate of change of -4. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/e/avg-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/average-rate-of-change-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/introduction-to-average-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing features of functions (example 2) | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/4Bx06GFyhUA/default.jpg URL=http://www.youtube.com/watch?v=4Bx06GFyhUA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/e/comparing-features-of-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/comparing-features-of-functions-2-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/comparing-features-of-functions-2-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Average Rate of Change Example 2) thumb=https://i.ytimg.com/vi/lK5nCBCr9-A/default.jpg URL=http://www.youtube.com/watch?v=lK5nCBCr9-A description=More free lessons at: http://www.khanacademy.org/video?v=lK5nCBCr9-A/description type=video name=Evaluating functions given their formula | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Id6UovYjd-M/default.jpg URL=http://www.youtube.com/watch?v=Id6UovYjd-M description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/e/functions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/understanding-function-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/linear-function-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to find the average rate of change from a table | Functions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/U1lQbh21y1k/default.jpg URL=http://www.youtube.com/watch?v=U1lQbh21y1k description=Sal finds the average rate of change of a function over the interval, given a table of values of the function. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/e/avg-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/average-rate-of-change-when-function-defined-by-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/algebra-functions/functions-average-rate-of-change/v/average-rate-of-change-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating functions given their graph | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/kzYtx_AqzjM/default.jpg URL=http://www.youtube.com/watch?v=kzYtx_AqzjM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/e/functions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/understanding-function-notation-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/understanding-function-notation-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear and nonlinear functions (example 2) | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/OWPVZoxNe-U/default.jpg URL=http://www.youtube.com/watch?v=OWPVZoxNe-U description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/e/linear-non-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/linear-and-nonlinear-functions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/linear-and-nonlinear-functions-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Function notation in context example | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/IXRMVcoqRRQ/default.jpg URL=http://www.youtube.com/watch?v=IXRMVcoqRRQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/e/functions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/sum-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/understanding-function-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear and nonlinear functions (example 3) | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/HUnF0mZmMKc/default.jpg URL=http://www.youtube.com/watch?v=HUnF0mZmMKc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/e/linear-non-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/interpreting-a-graph-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/linear-and-nonlinear-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear and nonlinear functions (example 1) | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/Pt-Tn6L60-o/default.jpg URL=http://www.youtube.com/watch?v=Pt-Tn6L60-o description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/e/linear-non-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/linear-and-nonlinear-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/recognizing-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing features of functions (example 3) | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/H1H0xmjZMPA/default.jpg URL=http://www.youtube.com/watch?v=H1H0xmjZMPA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/e/comparing-features-of-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/making-more-pizzas-to-spread-cost-per-pizza?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/comparing-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing features of functions (example 1) | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/w2BN2AJ4fOI/default.jpg URL=http://www.youtube.com/watch?v=w2BN2AJ4fOI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/e/comparing-features-of-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/comparing-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/interpreting-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing features of functions (example 1) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/hpBBuaiIkrg/default.jpg URL=http://www.youtube.com/watch?v=hpBBuaiIkrg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/recog-features-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/connection-between-even-and-odd-numbers-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Does a vertical line represent a function? | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/_npwsLh0vws/default.jpg URL=http://www.youtube.com/watch?v=_npwsLh0vws description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/functional-relationships-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing functions (example 3) | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/lEhf75ma7Ww/default.jpg URL=http://www.youtube.com/watch?v=lEhf75ma7Ww description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/e/recognizing_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/functional-relationships-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognize functions from verbal descriptions (example 2) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/z45UEiPaE8c/default.jpg URL=http://www.youtube.com/watch?v=z45UEiPaE8c description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/e/recog-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/function-composition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognize functions from verbal descriptions (example 1) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/tBRW-CyJE6k/default.jpg URL=http://www.youtube.com/watch?v=tBRW-CyJE6k description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/functions-as-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing functions (example 4) | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/QWLcNxQ3KvQ/default.jpg URL=http://www.youtube.com/watch?v=QWLcNxQ3KvQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/e/recog-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing features of functions (example 3) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/uglmkcGWmx4/default.jpg URL=http://www.youtube.com/watch?v=uglmkcGWmx4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/recog-features-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/interpreting-features-of-functions-2-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing features of functions (example 2) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/zltgXTlUVLw/default.jpg URL=http://www.youtube.com/watch?v=zltgXTlUVLw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/recog-features-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-features-of-functions-2-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-features-of-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting features of functions (example 2) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ynIq9IxbVso/default.jpg URL=http://www.youtube.com/watch?v=ynIq9IxbVso description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/e/interpret-features-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/comparing-features-of-functions-2-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/interpreting-features-of-functions-2-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting the y-intercept of a graph in context | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/M3PTPN7NH8M/default.jpg URL=http://www.youtube.com/watch?v=M3PTPN7NH8M description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/e/interpret-features-func-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/comparing-interpreting-functions/v/interpreting-features-of-functions-2-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-features-of-functions-2-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A Conversation with Davis Guggenheim thumb=https://i.ytimg.com/vi/Kjlqcz5RiTw/default.jpg URL=http://www.youtube.com/watch?v=Kjlqcz5RiTw description=More free lessons at: http://www.khanacademy.org/video?v=Kjlqcz5RiTw/description type=video name=Mussolini aligns with Hitler | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/6uNYe9UB3K4/default.jpg URL=http://www.youtube.com/watch?v=6uNYe9UB3K4 description=Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/e/fascism-and-mussolini-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/china-early-1900s/v/overview-of-chinese-history-1911-1949?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/mussolini-becomes-absolute-dictator-il-duce?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mussolini becomes absolute dictator (Il Duce) | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/pT6tFia8eaY/default.jpg URL=http://www.youtube.com/watch?v=pT6tFia8eaY description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/mussolini-aligns-with-hitler?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/mussolini-becomes-prime-minister?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mussolini becomes Prime Minister | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/wxtltXz4zs0/default.jpg URL=http://www.youtube.com/watch?v=wxtltXz4zs0 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/mussolini-becomes-absolute-dictator-il-duce?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/fascism-and-mussolini?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fascism and Mussolini | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/AoRpWU6hHJ8/default.jpg URL=http://www.youtube.com/watch?v=AoRpWU6hHJ8 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/mussolini-becomes-prime-minister?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/nazi-aggression-and-appeasement?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Nazi aggression and appeasement | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/VTdV9JaHiIA/default.jpg URL=http://www.youtube.com/watch?v=VTdV9JaHiIA description=Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/e/adolf-hitler?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/mussolini-fascism/v/fascism-and-mussolini?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/night-of-the-long-knives?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Night of the Long Knives | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/ZrbbKMnPDUk/default.jpg URL=http://www.youtube.com/watch?v=ZrbbKMnPDUk description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/nazi-aggression-and-appeasement?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/hitler-and-the-nazis-come-to-power?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marriage Penalty thumb=https://i.ytimg.com/vi/t55cc2UVmXo/default.jpg URL=http://www.youtube.com/watch?v=t55cc2UVmXo type=video name=Standard and Itemized Tax Deductions thumb=https://i.ytimg.com/vi/Pm9hS2US8k4/default.jpg URL=http://www.youtube.com/watch?v=Pm9hS2US8k4 type=video name=Bitcoin - The security of transaction block chains thumb=https://i.ytimg.com/vi/8zgvzmKZ5vo/default.jpg URL=http://www.youtube.com/watch?v=8zgvzmKZ5vo description=A detailed explanation of what makes bitcoin transaction block chains secure. More free lessons at: http://www.khanacademy.org/video?v=8zgvzmKZ5vo Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT/description type=video name=Sal Khan @ MIT thumb=https://i.ytimg.com/vi/1ZKz2KW87Y4/default.jpg URL=http://www.youtube.com/watch?v=1ZKz2KW87Y4 description=Sal Khan, founder of Khan Academy, talks about his life and how he started the Khan Academy, and is interviewed by MIT's president, Rafael Reif on Wednesday, May 8th./description type=video name=Bitcoin: What is it? | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/EA0LkCkvUeU/default.jpg URL=http://www.youtube.com/watch?v=EA0LkCkvUeU description=What is bitcoin? Created by Zulfikar Ramzan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bitcoin/v/bitcoin-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/greek-debt-crisis/v/why-europe-is-worried-about-greece?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Learn about bitcoins and how they work. Videos by Zulfikar Ramzan. Zulfikar is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bitcoin - The money supply thumb=https://i.ytimg.com/vi/JuWYLAtz3Y4/default.jpg URL=http://www.youtube.com/watch?v=JuWYLAtz3Y4 description=The mechanisms by which the supply of bitcoins is controlled. More free lessons at: http://www.khanacademy.org/video?v=JuWYLAtz3Y4 Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT./description type=video name=Bitcoin - Transaction block chains thumb=https://i.ytimg.com/vi/QzDO44oZWtE/default.jpg URL=http://www.youtube.com/watch?v=QzDO44oZWtE description=The mechanics of a bitcoin transaction block chain, which is a construct that is generated by bitcoin miners and functions as a global ledger for recording and validating bitcoins. More free lessons at: http://www.khanacademy.org/video?v=QzDO44oZWtE Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT./description type=video name=Bitcoin - Proof of work thumb=https://i.ytimg.com/vi/9V1bipPkCTU/default.jpg URL=http://www.youtube.com/watch?v=9V1bipPkCTU description=An explanation of cryptographic proof-of-work protocols, which are used in various cryptographic applications and in bitcoin mining. More free lessons at: http://www.khanacademy.org/video?v=9V1bipPkCTU Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT./description type=video name=Bitcoin - Transaction records thumb=https://i.ytimg.com/vi/9-9_v1wSPBQ/default.jpg URL=http://www.youtube.com/watch?v=9-9_v1wSPBQ description=The basic mechanics of a bitcoin transaction between two parties and what is included within a given bitcoin transaction record. More free lessons at: http://www.khanacademy.org/video?v=9-9_v1wSPBQ Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT./description type=video name=Bitcoin - Digital Signatures thumb=https://i.ytimg.com/vi/Aq3a-_O2NcI/default.jpg URL=http://www.youtube.com/watch?v=Aq3a-_O2NcI description=A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols. More free lessons at: http://www.khanacademy.org/video?v=Aq3a-_O2NcI Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT./description type=video name=Bitcoin - Cryptographic hash function thumb=https://i.ytimg.com/vi/0WiTaBI82Mc/default.jpg URL=http://www.youtube.com/watch?v=0WiTaBI82Mc description=What cryptographic hash functions are and what properties are desired of them. More free lessons at: http://www.khanacademy.org/video?v=0WiTaBI82Mc Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT./description type=video name=Bitcoin: Overview | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Y-w7SnQWwVA/default.jpg URL=http://www.youtube.com/watch?v=Y-w7SnQWwVA description=An introduction to the mechanics of bitcoins and an overview of how transactions take place. Created by Zulfikar Ramzan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bitcoin/v/bitcoin-cryptographic-hash-function?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bitcoin/v/bitcoin-what-is-it?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Learn about bitcoins and how they work. Videos by Zulfikar Ramzan. Zulfikar is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hitler's Beer Hall Putsch | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/5qWI2pEv0wg/default.jpg URL=http://www.youtube.com/watch?v=5qWI2pEv0wg description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/hitler-and-the-nazis-come-to-power?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/initial-rise-of-hitler-and-the-nazis?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Initial rise of Hitler and the Nazis | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/QCkn5bu8GgM/default.jpg URL=http://www.youtube.com/watch?v=QCkn5bu8GgM description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/hitler-s-beer-hall-putsch?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/arabia-after-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More detail on the Treaty of Versailles and Germany | World history | Khan Academy thumb=https://i.ytimg.com/vi/TmFET3F64pE/default.jpg URL=http://www.youtube.com/watch?v=TmFET3F64pE description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/arabia-after-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/paris-peace-conference-and-treaty-of-versailles?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More detail on the Treaty of Versailles and Germany thumb=https://i.ytimg.com/vi/YelG0QcdDq0/default.jpg URL=http://www.youtube.com/watch?v=YelG0QcdDq0 type=video name=Organizing claims into an outline thumb=https://i.ytimg.com/vi/GLshJ3gnGgA/default.jpg URL=http://www.youtube.com/watch?v=GLshJ3gnGgA type=video name=Hitler and the Nazis come to power | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/EtZnPoYbRyA/default.jpg URL=http://www.youtube.com/watch?v=EtZnPoYbRyA description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/night-of-the-long-knives?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/hitler-s-beer-hall-putsch?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=From invention to organization thumb=https://i.ytimg.com/vi/TWRxsw9LElI/default.jpg URL=http://www.youtube.com/watch?v=TWRxsw9LElI type=video name=Emergence of the Nazi Party and Hitler thumb=https://i.ytimg.com/vi/wtoydboI9G4/default.jpg URL=http://www.youtube.com/watch?v=wtoydboI9G4 type=video name=Elon Musk - CEO of Tesla Motors and SpaceX | Entrepreneurship | Khan Academy thumb=https://i.ytimg.com/vi/vDwzmJpI4io/default.jpg URL=http://www.youtube.com/watch?v=vDwzmJpI4io description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/entrepreneurship2/interviews-entrepreneurs/copy-of-khan-academy-living-room-chats/v/reid-hoffman-founder-of-linkedin?utm_source=YT&utm_medium=Desc&utm_campaign=entrepreneurship Entrepreneurship on Khan Academy: Personal lessons and insights from accomplished entrepreneurs are the basis of this interview series produced by the Ewing Marion Kauffman Foundation and Khan Academy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Entrepreneurship channel: https://www.youtube.com/channel/UCHqkkPYpIb9FotyBtLWU7IQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=German and Italian Empires in 1914 | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/UNgx_YSygyU/default.jpg URL=http://www.youtube.com/watch?v=UNgx_YSygyU description=Italian and German Empires in 1914. Tsingtao beer. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/alliances-leading-to-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/empires-before-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Japan in World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/NTUjMpfYWwE/default.jpg URL=http://www.youtube.com/watch?v=NTUjMpfYWwE description=Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/e/ww1-secondary-fronts?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/middle-east-20th-century/v/theodor-herzl-and-the-birth-of-political-zionism?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/italian-front-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing a thesis sentence thumb=https://i.ytimg.com/vi/W4JfDtfwOug/default.jpg URL=http://www.youtube.com/watch?v=W4JfDtfwOug type=video name=Ozymandias and writing invention thumb=https://i.ytimg.com/vi/Nm87hIuihjw/default.jpg URL=http://www.youtube.com/watch?v=Nm87hIuihjw type=video name=Geoffrey Moore on invention when writing thumb=https://i.ytimg.com/vi/hoyF8zn7Qlg/default.jpg URL=http://www.youtube.com/watch?v=hoyF8zn7Qlg type=video name=Arabia after World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/zbQFQ_nzbhI/default.jpg URL=http://www.youtube.com/watch?v=zbQFQ_nzbhI description=Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/e/ww1-aftermath?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/hitler-nazis/v/initial-rise-of-hitler-and-the-nazis?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/more-detail-on-the-treaty-of-versailles-and-germany?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Paris Peace Conference and Treaty of Versailles | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/o1IFePaNENQ/default.jpg URL=http://www.youtube.com/watch?v=o1IFePaNENQ description=When the Great Powers sat down to iron out peace after World War I, they sought vengeance rather than a peaceful world. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/more-detail-on-the-treaty-of-versailles-and-germany?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/woodrow-wilson-s-fourteen-points?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sykes-Picot Agreement and the Balfour Declaration | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/eIfQ4GfSz3U/default.jpg URL=http://www.youtube.com/watch?v=eIfQ4GfSz3U description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/middle-east-20th-century/v/arabia-after-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/middle-east-20th-century/v/sinai-palestine-and-mesopotamia-campaigns?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Theodor Herzl and the birth of political Zionism | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/g8sxNa-E-H0/default.jpg URL=http://www.youtube.com/watch?v=g8sxNa-E-H0 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/middle-east-20th-century/v/sinai-palestine-and-mesopotamia-campaigns?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/japan-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Woodrow Wilson's Fourteen Points | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/XMElagkUBmY/default.jpg URL=http://www.youtube.com/watch?v=XMElagkUBmY description=Woodrow Wilson attempted to build a more peaceful world after the horrors of World War I. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/paris-peace-conference-and-treaty-of-versailles?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/deaths-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Technology in World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/4bmPvB15aYU/default.jpg URL=http://www.youtube.com/watch?v=4bmPvB15aYU description=Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/e/easter-western-fronts-ww1?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/serbian-and-macedonian-fronts?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/closing-stages-of-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Serbian losses in World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/dpnFYrz2fCE/default.jpg URL=http://www.youtube.com/watch?v=dpnFYrz2fCE description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/italy-backs-out-of-triple-alliance?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/serbian-and-macedonian-fronts?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Serbian and Macedonian fronts | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/WX4T9NjYG94/default.jpg URL=http://www.youtube.com/watch?v=WX4T9NjYG94 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/serbian-losses-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/technology-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deaths in World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/kOf8fU9iduA/default.jpg URL=http://www.youtube.com/watch?v=kOf8fU9iduA description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/ww1-aftermath/v/woodrow-wilson-s-fourteen-points?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/middle-east-20th-century/v/arabia-after-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sinai, Palestine and Mesopotamia campaigns | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/L3Ka3oRD8G8/default.jpg URL=http://www.youtube.com/watch?v=L3Ka3oRD8G8 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/middle-east-20th-century/v/sykes-picot-agreement-and-the-balfour-declaration?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/middle-east-20th-century/v/theodor-herzl-and-the-birth-of-political-zionism?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geoffrey Moore on nouns thumb=https://i.ytimg.com/vi/hUC5LPU_NMc/default.jpg URL=http://www.youtube.com/watch?v=hUC5LPU_NMc type=video name=Geoffrey Moore on writing for readers thumb=https://i.ytimg.com/vi/v7NGPg9fcPs/default.jpg URL=http://www.youtube.com/watch?v=v7NGPg9fcPs type=video name=Geoffrey Moore on the writing process thumb=https://i.ytimg.com/vi/gaMEzd_Vh80/default.jpg URL=http://www.youtube.com/watch?v=gaMEzd_Vh80 type=video name=Italian front in World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/mQyM-4YqHMM/default.jpg URL=http://www.youtube.com/watch?v=mQyM-4YqHMM description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/japan-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/italy-backs-out-of-triple-alliance?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Italy backs out of Triple Alliance | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/ay1QGPg2R98/default.jpg URL=http://www.youtube.com/watch?v=ay1QGPg2R98 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/italian-front-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/other-fronts-ww1/v/serbian-losses-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gallipoli Campaign and ANZAC Day thumb=https://i.ytimg.com/vi/G4j4is5Z2Yw/default.jpg URL=http://www.youtube.com/watch?v=G4j4is5Z2Yw type=video name=Closing stages of World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/xFBK9534NI8/default.jpg URL=http://www.youtube.com/watch?v=xFBK9534NI8 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/technology-in-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/battles-of-verdun-somme-and-the-hindenburg-line?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Battles of Verdun, Somme and the Hindenburg Line | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/jR_XZyhLSA8/default.jpg URL=http://www.youtube.com/watch?v=jR_XZyhLSA8 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/closing-stages-of-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/world-war-i-eastern-front?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=World War I Eastern front | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/ATuMxyoVh_8/default.jpg URL=http://www.youtube.com/watch?v=ATuMxyoVh_8 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/battles-of-verdun-somme-and-the-hindenburg-line?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/comparing-the-eastern-and-western-fronts-in-wwi?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing the Eastern and Western fronts in WWI | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/qPoLL0E2W8A/default.jpg URL=http://www.youtube.com/watch?v=qPoLL0E2W8A description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/world-war-i-eastern-front?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/schlieffen-plan-and-the-first-battle-of-the-marne?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Khan at Adobe Digital Marketing Summit 2013 thumb=https://i.ytimg.com/vi/8IGREqSL_CE/default.jpg URL=http://www.youtube.com/watch?v=8IGREqSL_CE description=Sal Khan speaks at the Adobe Digital Marketing Summit 2013 on Thu, Mar 7, 2013 in Salt Lake City, UT./description type=video name=United States enters World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/dHXzusNSF60/default.jpg URL=http://www.youtube.com/watch?v=dHXzusNSF60 description=Learn about the United States' reasons for entering World War I. Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/euro-hist/american-entry-world-war-i/e/ww1blockades?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/schlieffen-plan-and-the-first-battle-of-the-marne?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/american-entry-world-war-i/v/zimmermann-telegram?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Zimmermann Telegram | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/Gedy8LwQTaw/default.jpg URL=http://www.youtube.com/watch?v=Gedy8LwQTaw description=An intercepted telegram between Germany and Mexico led the United States to declare war. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/american-entry-world-war-i/v/united-states-enters-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/american-entry-world-war-i/v/blockades-u-boats-and-sinking-of-the-lusitania?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Blockades, u-boats and sinking of the Lusitania | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/B_P48TakY3Y/default.jpg URL=http://www.youtube.com/watch?v=B_P48TakY3Y description=Learn about the naval warfare between Britain and Germany that led to the sinking of the Lusitania. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/american-entry-world-war-i/v/zimmermann-telegram?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/the-great-war-begins?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Schlieffen Plan and the First Battle of the Marne | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/7AOOlxbZN3E/default.jpg URL=http://www.youtube.com/watch?v=7AOOlxbZN3E description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-fighting/v/comparing-the-eastern-and-western-fronts-in-wwi?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/american-entry-world-war-i/v/united-states-enters-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Assassination of Franz Ferdinand | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/heKuwogLwnk/default.jpg URL=http://www.youtube.com/watch?v=heKuwogLwnk description=Gavrilo Princip assassinated Australian Archduke Franz Ferdinand, setting off World War I. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/the-great-war-begins?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/language-and-religion-of-the-former-yugoslavia?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Great War begins | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/huOnuYAyv6w/default.jpg URL=http://www.youtube.com/watch?v=huOnuYAyv6w description=Learn about the outbreak of World War I. Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/e/world-war-I-causes?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/american-entry-world-war-i/v/blockades-u-boats-and-sinking-of-the-lusitania?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/assassination-of-franz-ferdinand-by-gavrilo-princip?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Assassination of Franz Ferdinand sparks World War I thumb=https://i.ytimg.com/vi/EasTAsGWzVg/default.jpg URL=http://www.youtube.com/watch?v=EasTAsGWzVg type=video name=Language and religion of the former Yugoslavia | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/6RKMRBxDm20/default.jpg URL=http://www.youtube.com/watch?v=6RKMRBxDm20 description=Primer on the differences of language and religion that helped to propel World War I. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/alliances-leading-to-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/alliances-leading-to-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alliances leading to World War I | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/KMMAL3v0lA0/default.jpg URL=http://www.youtube.com/watch?v=KMMAL3v0lA0 description=Learn about the military alliances that mired Europe in war. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/alliances-leading-to-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/empires-before-world-war-i?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Empires before World War I | Khan Academy thumb=https://i.ytimg.com/vi/IyoUWRAharQ/default.jpg URL=http://www.youtube.com/watch?v=IyoUWRAharQ description=Austria-Hungary. Ottoman empire. British, German, French and Russian empires. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/world-war-i-tutorial/v/german-and-italian-empires-in-1914 Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/imperialism/v/japanese-imperialism-world-history-khan-academy World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bringing the set operations together | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/OCNXS_m1HWU/default.jpg URL=http://www.youtube.com/watch?v=OCNXS_m1HWU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/e/basic_set_notation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/permutations/v/factorial-and-counting-seat-arrangements?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/subset-strict-subset-and-superset?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subset, strict subset, and superset | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/1wsF9GpGd00/default.jpg URL=http://www.youtube.com/watch?v=1wsF9GpGd00 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/e/basic_set_notation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/bringing-the-set-operations-together?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/universal-set-and-absolute-complement?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Universal set and absolute complement | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/GVZUpOm3XUg/default.jpg URL=http://www.youtube.com/watch?v=GVZUpOm3XUg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/e/basic_set_notation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/subset-strict-subset-and-superset?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/relative-complement-or-difference-between-sets?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relative complement or difference between sets | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/2B4EBvVvf9w/default.jpg URL=http://www.youtube.com/watch?v=2B4EBvVvf9w description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/e/basic_set_notation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/universal-set-and-absolute-complement?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/intersection-and-union-of-sets?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intersection and union of sets | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/jAfNg3ylZAI/default.jpg URL=http://www.youtube.com/watch?v=jAfNg3ylZAI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/e/basic_set_notation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_set_operations/v/relative-complement-or-difference-between-sets?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/monty-hall-problem?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Married taxes clarification | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/MR9CrsF3D00/default.jpg URL=http://www.youtube.com/watch?v=MR9CrsF3D00 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/corporate-taxation/v/corporations-and-limited-liability?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/marriage-penalty?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marriage penalty | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/SX_DzTb95mM/default.jpg URL=http://www.youtube.com/watch?v=SX_DzTb95mM description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/married-taxes-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/calculating-state-taxes-and-take-home-pay?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Short sale basics | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/5YfO4CshL7Y/default.jpg URL=http://www.youtube.com/watch?v=5YfO4CshL7Y description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/adjustable-rate-mortgages-arms?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/mortgage-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating state taxes and take home pay | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/iIBQm3me8cs/default.jpg URL=http://www.youtube.com/watch?v=iIBQm3me8cs description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/marriage-penalty?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/calculating-federal-taxes-and-take-home-pay?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan on Charlie Rose 2/26/2013 thumb=https://i.ytimg.com/vi/LiPQuOFVHl4/default.jpg URL=http://www.youtube.com/watch?v=LiPQuOFVHl4 description=More free lessons at: http://www.khanacademy.org/video?v=LiPQuOFVHl4/description type=video name=puzzle game challenge announcement thumb=https://i.ytimg.com/vi/pnoShVR_XEc/default.jpg URL=http://www.youtube.com/watch?v=pnoShVR_XEc description=Link to go to challenge: http://www.khanacademy.org/cs/puzzle-game-challenge/1418760249/description type=video name=Sal Khan talks with OPB's Rob Manning thumb=https://i.ytimg.com/vi/fzCnQwyoU5A/default.jpg URL=http://www.youtube.com/watch?v=fzCnQwyoU5A description=Rob Manning's interview with Khan Academy's Salman Khan before an appearance at Concordia University on Feb 5, 2013./description type=video name=Matrix addition and subtraction | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/WR9qCSXJlyY/default.jpg URL=http://www.youtube.com/watch?v=WR9qCSXJlyY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/e/matrix_addition_and_subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/transpose-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/scalar-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/0oGJTQCy4cQ/default.jpg URL=http://www.youtube.com/watch?v=0oGJTQCy4cQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/e/matrix_dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/data-in-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/vectors-precalc/magnitude-direction/v/vector-component-in-direction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transpose of a matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/TZrKrNVhbjI/default.jpg URL=http://www.youtube.com/watch?v=TZrKrNVhbjI description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/e/matrix_transpose?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/matrix-multiplication-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/matrix-addition-and-subtraction-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scalar multiplication | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/TbaltFbJ3wE/default.jpg URL=http://www.youtube.com/watch?v=TbaltFbJ3wE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/e/scalar_matrix_multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/matrix-addition-and-subtraction-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/Basic_matrix_operations/v/data-in-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expression for combined area of triangle and square | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/IFU7Go6Qg6E/default.jpg URL=http://www.youtube.com/watch?v=IFU7Go6Qg6E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/e/optimization?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/v/minimizing-combined-area?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/v/minimizing-the-cost-of-a-storage-container?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy E/description type=video name=Minimizing combined area | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/eS-_ZFzHjYA/default.jpg URL=http://www.youtube.com/watch?v=eS-_ZFzHjYA description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/e/optimization?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/differentiation-application/v/derivative-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/v/expression-for-combined-area-of-triangle-and-square?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formula for arithmetic series thumb=https://i.ytimg.com/vi/Uy_L8tnihDM/default.jpg URL=http://www.youtube.com/watch?v=Uy_L8tnihDM description=More free lessons at: http://www.khanacademy.org/video?v=Uy_L8tnihDM/description type=video name=Arithmetic series intro | Mathematics III | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/cYw4MFWsB6c/default.jpg URL=http://www.youtube.com/watch?v=cYw4MFWsB6c description=Sal explains the formula for the sum of a finite arithmetic series. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-arithmetic-series/v/evaluating-finite-arithmetic-series?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/math-1-2-3/math3/math3-series/math3-sigma-notation/v/sigma-notation-sum?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Series as sum of sequence | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/rcRg_gO7-7E/default.jpg URL=http://www.youtube.com/watch?v=rcRg_gO7-7E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/e/arithmetic_series?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/v/geometric-sequences-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/equations-of-sequence-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formula for finite geometric series thumb=https://i.ytimg.com/vi/Naf6_lRRdyM/default.jpg URL=http://www.youtube.com/watch?v=Naf6_lRRdyM type=video name=Proof of special case of l'Hôpital's rule | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/SIB4WDYF5DQ/default.jpg URL=http://www.youtube.com/watch?v=SIB4WDYF5DQ description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/local-linearization/v/local-linearization-intro?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/tricky-lhopitals-rule-problem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proving a sequence converges using the formal definition | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/-XRQovTI04Q/default.jpg URL=http://www.youtube.com/watch?v=-XRQovTI04Q description=Applying the formal definition of the limit of a sequence to prove that a sequence converges. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-series-opt-vids/v/deriving-formula-for-sum-of-finite-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-series-opt-vids/v/definition-of-limit-of-a-sequence-and-sequence-convergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formal definition for limit of a sequence | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/wzw9ll80Zbc/default.jpg URL=http://www.youtube.com/watch?v=wzw9ll80Zbc description=A sequence is "converging" if its terms approach a specific value at infinity. This video is a more formal definition of what it means for a sequence to converge. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-series-opt-vids/v/proving-a-sequence-converges?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/finding-function-from-series-by-integrating?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Convergent and divergent sequences | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/lfZGtjSWcQs/default.jpg URL=http://www.youtube.com/watch?v=lfZGtjSWcQs description=Using the recursive formula of a sequence to find its fifth term. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/e/convergence-and-divergence-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/identifying-sequence-convergence-divergence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-sequences/v/term-of-recursive-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geometric sequences | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/dIGLhLMsy2U/default.jpg URL=http://www.youtube.com/watch?v=dIGLhLMsy2U description=An introduction to geometric sequences Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/e/geometric_sequences_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/v/converting-an-explicit-function-to-a-recursive-function?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/v/geometric-sequences-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to arithmetic sequences | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/_cooC3yG_p0/default.jpg URL=http://www.youtube.com/watch?v=_cooC3yG_p0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/e/arithmetic_sequences_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/finding-the-100th-term-in-a-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/explicit-and-recursive-definitions-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Explicit and recursive definitions of sequences | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/KRFiAlo7t1E/default.jpg URL=http://www.youtube.com/watch?v=KRFiAlo7t1E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/e/arithmetic_sequences_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/arithmetic-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/proof_by_induction/v/alternate-proof-to-induction-for-integer-sum?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Program Request Moderator thumb=https://i.ytimg.com/vi/oXCD265cP3o/default.jpg URL=http://www.youtube.com/watch?v=oXCD265cP3o description=Go to: http://www.google.com/moderator/#15/e=201966&t=201966.40 to post your requests or links to code./description type=video name=Divergent improper integral | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/9VqL6POWIoc/default.jpg URL=http://www.youtube.com/watch?v=9VqL6POWIoc description=Sometimes the value of an infinite integral is, well, infinite. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-improper-integrals/e/improper-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-u-substitution/v/u-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-improper-integrals/v/improper-integral-with-two-infinite-bounds?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integration by parts: ºln(x)dx | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/iw5eLJV0Sj4/default.jpg URL=http://www.youtube.com/watch?v=iw5eLJV0Sj4 description=Worked example of finding an indefinite integral using integration by parts, where the integrand isn't a product. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/e/integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integration-by-parts-twice-for-antiderivative-of-x-2-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/antiderivative-of-xcosx-using-integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Improper integral with two infinite bounds | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/9JX2s90_RNQ/default.jpg URL=http://www.youtube.com/watch?v=9JX2s90_RNQ description=Infinite both ways! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-improper-integrals/v/divergent-improper-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-improper-integrals/v/introduction-to-improper-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to improper integrals | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/qv7DM5Ph0vU/default.jpg URL=http://www.youtube.com/watch?v=qv7DM5Ph0vU description=Improper integrals are definite integrals where one or both of the _bounderies is at infinity, or where the integrand has a vertical asymptote in the interval of integration. As crazy as it may sound, we can actually calculate some improper integrals using some clever methods that involve limits. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-improper-integrals/v/improper-integral-with-two-infinite-bounds?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-of-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Steric hindrance thumb=https://i.ytimg.com/vi/gZbJQm8pumk/default.jpg URL=http://www.youtube.com/watch?v=gZbJQm8pumk type=video name=Introduction to trig substitution thumb=https://i.ytimg.com/vi/sbbajrCSEeg/default.jpg URL=http://www.youtube.com/watch?v=sbbajrCSEeg description=More free lessons at: http://www.khanacademy.org/video?v=sbbajrCSEeg/description type=video name=Another substitution with x=sin (theta) thumb=https://i.ytimg.com/vi/8Yl_u_Otcjg/default.jpg URL=http://www.youtube.com/watch?v=8Yl_u_Otcjg description=More free lessons at: http://www.khanacademy.org/video?v=8Yl_u_Otcjg/description type=video name=Trig substitution with tangent thumb=https://i.ytimg.com/vi/CYjAgOTVfZk/default.jpg URL=http://www.youtube.com/watch?v=CYjAgOTVfZk description=More free lessons at: http://www.khanacademy.org/video?v=CYjAgOTVfZk/description type=video name=Trig and U substitution together (part 2) thumb=https://i.ytimg.com/vi/WAoaBTWKLoI/default.jpg URL=http://www.youtube.com/watch?v=WAoaBTWKLoI description=More free lessons at: http://www.khanacademy.org/video?v=WAoaBTWKLoI/description type=video name=Trig and U substitution together (part 1) thumb=https://i.ytimg.com/vi/nMrJ6nbOQhQ/default.jpg URL=http://www.youtube.com/watch?v=nMrJ6nbOQhQ description=More free lessons at: http://www.khanacademy.org/video?v=nMrJ6nbOQhQ/description type=video name=Introduction to trig substitution thumb=https://i.ytimg.com/vi/9rf2vnRNvrs/default.jpg URL=http://www.youtube.com/watch?v=9rf2vnRNvrs type=video name=Fundamental theorem of calculus (Part 2) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/JbfVrwxuPxM/default.jpg URL=http://www.youtube.com/watch?v=JbfVrwxuPxM description=There are really two versions of the fundamental theorem of calculus, and we go through the connection here. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/applying-the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding derivative with fundamental theorem of calculus: x is on both bounds | Khan Academy thumb=https://i.ytimg.com/vi/0z52CLjC2C0/default.jpg URL=http://www.youtube.com/watch?v=0z52CLjC2C0 description=How do you apply the fundamental theorem of calculus when both integral bounds are a function of x. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/v/indefinite-integrals-of-x-raised-to-a-power?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/swapping-the-bounds-for-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding derivative with fundamental theorem of calculus: x is on lower bound | Khan Academy thumb=https://i.ytimg.com/vi/TqGCNNlx6pU/default.jpg URL=http://www.youtube.com/watch?v=TqGCNNlx6pU description=Sometimes you need to swap the bounds of integration before applying the fundamental theorem of calculus. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/both-bounds-being-a-function-of-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/applying-the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Finding derivative with fundamental theorem of calculus | Khan Academy thumb=https://i.ytimg.com/vi/FcLeaD3UII4/default.jpg URL=http://www.youtube.com/watch?v=FcLeaD3UII4 description=See what the fundamental theorem of calculus looks like in action. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/swapping-the-bounds-for-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of fundamental theorem of calculus | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/pWtt0AvU0KA/default.jpg URL=http://www.youtube.com/watch?v=pWtt0AvU0KA description=The first part of the fundamental theorem of calculus tells us that if we define _(_) to be the definite integral of function Ä from some constant _ to _, then _ is an antiderivative of Ä. In other words, _'(_)=Ä(_). See why this is so. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-ftc-opt-vids/v/intuition-for-second-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-behavior-of-antiderivative/v/visual-anti-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fundamental theorem of calculus (Part 1) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/C7ducZoLKgw/default.jpg URL=http://www.youtube.com/watch?v=C7ducZoLKgw description=The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/e/the-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/connecting-the-first-and-second-fundamental-theorems-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/v/antiderivatives-and-indefinite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Related rates: shadow | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/cPOjnyjii-4/default.jpg URL=http://www.youtube.com/watch?v=cPOjnyjii-4 description=Sal solves a related rates problem about the shadow an owl casts as it's hunting a mouse. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/rate-of-change-of-balloon-height?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/related-rates-of-water-pouring-into-cone?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Related rates: Approaching cars | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/wV59XWLmv0c/default.jpg URL=http://www.youtube.com/watch?v=wV59XWLmv0c description=As two cars approach the same intersection from different roads, how does the rate of change of the distance between them change? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/falling-ladder-related-rates?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/related-rates-example-with-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Related rates: balloon | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/_kbd6troMgA/default.jpg URL=http://www.youtube.com/watch?v=_kbd6troMgA description=In this example, you are analyzing the rate of change of a balloon's altitude based on the angle you have to crane your neck to look at it. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/minimizing-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/speed-of-shadow-of-diving-bird?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Related rates: Falling ladder | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/kBVDSu7v8os/default.jpg URL=http://www.youtube.com/watch?v=kBVDSu7v8os description=You're on a ladder. The bottom of the ladder starts slipping away from the wall. Amidst your fright, you realize this would make a great related rates problem... Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/e/related-rates-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/related-rates-of-water-pouring-into-cone?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/rate-of-change-of-distance-between-approaching-cars?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Related rates intro | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/kQF9pOqmS0U/default.jpg URL=http://www.youtube.com/watch?v=kQF9pOqmS0U description=What's the relationship between how fast a circle's radius changes, and how fast its area changes? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates-intro/v/analyzing-related-rates-problems-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-applied-rate-of-change/v/derivative-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Related rates: water pouring into a cone | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Xe6YlrCgkIo/default.jpg URL=http://www.youtube.com/watch?v=Xe6YlrCgkIo description=As you pour water into a cone, how does the rate of change of the depth of the water relate to the rate of change in volume. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/e/related-rates-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/speed-of-shadow-of-diving-bird?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/falling-ladder-related-rates?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimization: sum of squares | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/1TK8V_qmqrk/default.jpg URL=http://www.youtube.com/watch?v=1TK8V_qmqrk description=What is the minimum possible value of x^2+y^2 given that their product has to be fixed at xy = -16. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/optimizing-box-volume-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-related-rates/v/rate-of-change-of-balloon-height?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Combined area as function of wire cut location thumb=https://i.ytimg.com/vi/lMhAOS4MFFE/default.jpg URL=http://www.youtube.com/watch?v=lMhAOS4MFFE type=video name=Minimizing the combined area thumb=https://i.ytimg.com/vi/d6U6dwnHRWM/default.jpg URL=http://www.youtube.com/watch?v=d6U6dwnHRWM type=video name=Optimization: cost of materials | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/tSMuKcN-RKM/default.jpg URL=http://www.youtube.com/watch?v=tSMuKcN-RKM description=With all the storage you might have to handle for your shoe factory, I bet you'd also like to be able to minize the cost of storage. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/expression-for-combined-area-of-triangle-and-square?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/optimizing-profit-at-a-shoe-factory?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimization: profit | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/dam16G6cZ8k/default.jpg URL=http://www.youtube.com/watch?v=dam16G6cZ8k description=Who knows, you may end up running a shoe factory one day. So it might not be a bad idea to know how to maximize profits. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/minimizing-the-cost-of-a-storage-container?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/optimizing-box-volume-analytically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimization: box volume (Part 1) | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/MC0tq6fNRwU/default.jpg URL=http://www.youtube.com/watch?v=MC0tq6fNRwU description=If you are making a box out of a flat piece of cardboard, how do you maximize the volume of that box? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/optimizing-box-volume-analytically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/minimizing-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimization: box volume (Part 2) | Applications of derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/cRboY08YG8g/default.jpg URL=http://www.youtube.com/watch?v=cRboY08YG8g description=Finishing up the last video by working through the formulas. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/optimizing-profit-at-a-shoe-factory?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-derivatives/ab-optimization/v/optimizing-box-volume-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflection points introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/UK2shgCXALo/default.jpg URL=http://www.youtube.com/watch?v=UK2shgCXALo description=Inflection points are points where the function changes concavity, i.e. from being "concave up" to being "concave down" or vice versa. They can be found by considering where the second derivative changes signs. In similar to critical points in the first derivative, inflection points will occur when the second derivative is either zero or undefined. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/e/analyze-points-of-inflection-graphical?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/v/inflection-points-graphically-given-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/v/recognizing-concavity-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Concavity introduction | Using derivatives to analyze functions | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/LcEqOzNov4E/default.jpg URL=http://www.youtube.com/watch?v=LcEqOzNov4E description=Sal introduces the concept of concavity, what it means for a graph to be "concave up" or "concave down," and how this relates to the second derivative of a function. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/e/recognizing_concavity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-concavity/v/recognizing-concavity-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-abs-extrema/v/absolute-extrema-on-entire-domain?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing a function with its derivative | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/pInFesXIfg8/default.jpg URL=http://www.youtube.com/watch?v=pInFesXIfg8 description=Taking the derivative of f(x)=x_-12x+2 and graphing the derivative, so we can tell when f is increasing or decreasing, and where is its relative extremum points. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/minima-maxima-and-critical-points?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/v/calculus-based-justification-for-function-increasing?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding relative extrema (first derivative test) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/lFQ4kMcODzU/default.jpg URL=http://www.youtube.com/watch?v=lFQ4kMcODzU description=Once you find a critical point, how can you tell if it is a minimum, maximum or neither? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-find-rel-extrema/v/finding-relative-maximum-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/finding-increasing-interval-given-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Critical points introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/lDY9JcFaRd4/default.jpg URL=http://www.youtube.com/watch?v=lDY9JcFaRd4 description=Sal introduces the "critical points" of a function and discusses their relationship with the extremum points of the function. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-critical-points/v/finding-critical-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-justification-with-first-derivative/v/analyzing-a-function-with-its-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Implicit derivative of e^(xy^2) = x - y thumb=https://i.ytimg.com/vi/ZtI94pI4Uzc/default.jpg URL=http://www.youtube.com/watch?v=ZtI94pI4Uzc description=More free lessons at: http://www.khanacademy.org/video?v=ZtI94pI4Uzc/description type=video name=Worked example: Evaluating derivative with implicit differentiation | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/KyYC8XzKsHU/default.jpg URL=http://www.youtube.com/watch?v=KyYC8XzKsHU description=Sal finds the slope of the tangent line to the curve x_+(y-x)_=28 at x=1 using implicit differentiation. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/e/implicit-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/differentiating-related-functions-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/implicit-derivative-of-x-y-2-x-y-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Implicit derivative of (x^2+y^2)^3 = 5x^2y^2 thumb=https://i.ytimg.com/vi/1DcsREjyoiM/default.jpg URL=http://www.youtube.com/watch?v=1DcsREjyoiM description=More free lessons at: http://www.khanacademy.org/video?v=1DcsREjyoiM/description type=video name=Implicit derivative of y = cos(5x - 3y) | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/-EG10aI0rt0/default.jpg URL=http://www.youtube.com/watch?v=-EG10aI0rt0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/implicit_differentiation/e/implicit-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/implicit_differentiation/v/implicit-derivative-of-x-2-y-2-3-5x-2y-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/implicit_differentiation/v/implicit-derivative-of-x-y-2-x-y-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/9uxvm-USEYE/default.jpg URL=http://www.youtube.com/watch?v=9uxvm-USEYE description=Implicit differentiation of (x-y)_=x+y-1. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/finding-slope-of-tangent-line-with-implicit-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/implicit-differentiation-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Showing explicit and implicit differentiation give same result | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/2CsQ_l1S2_Y/default.jpg URL=http://www.youtube.com/watch?v=2CsQ_l1S2_Y description=Sal gives an example of how implicit differentiation results in the same derivative expression as direct differentiation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-inverse-func/v/derivatives-of-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/differentiating-related-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/mSVrqKZDRF4/default.jpg URL=http://www.youtube.com/watch?v=mSVrqKZDRF4 description=Some relationships cannot be represented by an explicit function. For example, x_+y_=1. Implicit differentiation helps us find _dy/dx even for relationships like that. This is done using the chain _rule, and viewing y as an implicit function of x. For example, according to the chain rule, the derivative of y_ would be 2y_(dy/dx). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-implicit-diff/v/implicit-derivative-of-x-y-2-x-y-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-second-derivatives/v/second-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chain rule for derivative of 2^x thumb=https://i.ytimg.com/vi/Mci8Cuik_Gw/default.jpg URL=http://www.youtube.com/watch?v=Mci8Cuik_Gw description=More free lessons at: http://www.khanacademy.org/video?v=Mci8Cuik_Gw/description type=video name=Derivative of e_____cos(e_) | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/UXQGzgPf1LE/default.jpg URL=http://www.youtube.com/watch?v=UXQGzgPf1LE description=Sal differentiates e_____cos(e_) by applying both the product rule and the chain rule. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/derivative-of-lnx?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-exp/v/exponential-functions-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Change of base formula proof | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/1reblXFlM6I/default.jpg URL=http://www.youtube.com/watch?v=1reblXFlM6I description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/logarithmic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/proof-a-log-b-log-b-a-log-a-log-b-log-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Product rule for more than two functions thumb=https://i.ytimg.com/vi/Bkkk0RLSEy8/default.jpg URL=http://www.youtube.com/watch?v=Bkkk0RLSEy8 description=More free lessons at: http://www.khanacademy.org/video?v=Bkkk0RLSEy8/description type=video name=Derivative of log with arbitrary base thumb=https://i.ytimg.com/vi/ssz6TElXEOM/default.jpg URL=http://www.youtube.com/watch?v=ssz6TElXEOM description=More free lessons at: http://www.khanacademy.org/video?v=ssz6TElXEOM/description type=video name=Quotient rule from product & chain rules | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ho87DN9wO70/default.jpg URL=http://www.youtube.com/watch?v=ho87DN9wO70 description=Sal shows how you can derive the quotient rule using the product rule and the chain rule (one less rule to memorize!). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-mul-rules/v/differentiating-using-multiple-rules-strategy?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/chain-rule-proof?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quotient rule for derivative of tan x thumb=https://i.ytimg.com/vi/eJUGoAtF-7A/default.jpg URL=http://www.youtube.com/watch?v=eJUGoAtF-7A description=More free lessons at: http://www.khanacademy.org/video?v=eJUGoAtF-7A/description type=video name=Derivative of sin(ln(x_)) | Advanced derivatives | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/1015d63VKh4/default.jpg URL=http://www.youtube.com/watch?v=1015d63VKh4 description=Sal differentiates sin(ln(x_)) by applying the chain rule twice. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/derivative-log-properties?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-advanced/ab-diff-log/v/differentiating-composite-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Worked example: Derivative of Ã(3x_-x) using the chain rule | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/IiBC4ngwH6E/default.jpg URL=http://www.youtube.com/watch?v=IiBC4ngwH6E description=f(x)=Ã(3x_-x) is a composition of the functions Ãx and 3x_-x, and therefore we can differentiate it using the chain rule. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/common-chain-rule-misunderstandings?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-chain-rule/v/differentiating-composite-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Product rule | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/79ngr0Bur38/default.jpg URL=http://www.youtube.com/watch?v=79ngr0Bur38 description=Introduction to the product rule, which tells us how to take the derivative of a product of functions. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/e/differentiate-products?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-product-rule/v/product-rule-example-implicit?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-sin-cos/e/differentiate-sine-and-cosine?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivatives of sin x, cos x, tan x, e^x and ln x thumb=https://i.ytimg.com/vi/TDHI-aieyfk/default.jpg URL=http://www.youtube.com/watch?v=TDHI-aieyfk description=More free lessons at: http://www.khanacademy.org/video?v=TDHI-aieyfk/description type=video name=Area between curves with multiple boundaries thumb=https://i.ytimg.com/vi/LbTH7MGMNjk/default.jpg URL=http://www.youtube.com/watch?v=LbTH7MGMNjk description=More free lessons at: http://www.khanacademy.org/video?v=LbTH7MGMNjk/description type=video name=Area between curves thumb=https://i.ytimg.com/vi/4bZyfvKazzQ/default.jpg URL=http://www.youtube.com/watch?v=4bZyfvKazzQ description=More free lessons at: http://www.khanacademy.org/video?v=4bZyfvKazzQ/description type=video name=Integration by parts: º___cos(x)dx | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/LJqNdG6Y2cM/default.jpg URL=http://www.youtube.com/watch?v=LJqNdG6Y2cM description=Worked example of finding an indefinite integral by applying integration by parts twice, and then obtaining an equation for the desired indefinite integral. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/e/integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integration-by-parts-of-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integration-by-parts-twice-for-antiderivative-of-x-2-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integration by parts: ºx____dx | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/n-iEqLhGfd4/default.jpg URL=http://www.youtube.com/watch?v=n-iEqLhGfd4 description=Worked example of finding an indefinite integral where integration by parts is applied twice. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/e/integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integration-by-parts-of-e-x-cos-x-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integral-of-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integration by parts of (e^x)(cos x) thumb=https://i.ytimg.com/vi/g-Uxw0eKuJo/default.jpg URL=http://www.youtube.com/watch?v=g-Uxw0eKuJo type=video name=Integration by parts intro | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/dh__n9FVKA0/default.jpg URL=http://www.youtube.com/watch?v=dh__n9FVKA0 description=By looking at the product rule for derivatives in reverse, we get a powerful integration tool. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/e/integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/antiderivative-of-xcosx-using-integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-u-substitution/v/u-substitution-exponential?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integration by parts: ºx_cos(x)dx | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/bZ8YAHDTFJ8/default.jpg URL=http://www.youtube.com/watch?v=bZ8YAHDTFJ8 description=Worked example of finding an integral using a straightforward application of integration by parts. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/e/integration-by-parts?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/integral-of-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-antiderivatives-ftc/bc-integration-by-parts/v/deriving-integration-by-parts-formula?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Indefinite integrals of sin(x), cos(x), and e_ | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/hXg-6YgAARk/default.jpg URL=http://www.youtube.com/watch?v=hXg-6YgAARk description=ºsin(x)dx=-cos(x)+C, ºcos(x)dx=sin(x)+C, and ºe_dx=e_+C. Learn why this is so and see worked examples. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-common-indefinite-int/e/indefinite-integrals-of-e-x-1-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/reverse-power-rule-for-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-common-indefinite-int/v/antiderivative-of-x-1?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Indefinite integral of 1/x | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/sPPjk4aXzmQ/default.jpg URL=http://www.youtube.com/watch?v=sPPjk4aXzmQ description=In differential _calculus we learned that the derivative of ln(x) is 1/x. Integration goes the other way: the integral (or antiderivative) of 1/x should be a function whose derivative is 1/x. As we just saw, this is ln(x). However, if x is negative then ln(x) is undefined! The solution is quite simple: the antiderivative of 1/x is ln(|x|). Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-common-indefinite-int/e/indefinite-integrals-of-e-x-1-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-common-indefinite-int/e/indefinite-integrals-of-e-x-1-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/v/rewriting-integrand-before-integrating?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Antiderivative of hairier expression thumb=https://i.ytimg.com/vi/cBi4a1iSaPk/default.jpg URL=http://www.youtube.com/watch?v=cBi4a1iSaPk description=More free lessons at: http://www.khanacademy.org/video?v=cBi4a1iSaPk/description type=video name=Reverse power rule | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/QxbJsg-Vdms/default.jpg URL=http://www.youtube.com/watch?v=QxbJsg-Vdms description=Can you find a function whose derivative is x^n? Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/e/intro-to-integration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-reverse-power-rule/v/indefinite-integral-properties?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/both-bounds-being-a-function-of-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Antiderivatives and indefinite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/MMv-027KEqU/default.jpg URL=http://www.youtube.com/watch?v=MMv-027KEqU description=What's the opposite of a derivative? It's something called the "indefinite integral". Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-antiderivatives-intro/e/antiderivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-fundamental-theorem-of-calc/v/fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-func-defined-by-integral/v/evaluating-function-defined-by-integral-switch?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area between a curve and the x-axis: negative area | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/MM0FTzvedH4/default.jpg URL=http://www.youtube.com/watch?v=MM0FTzvedH4 description=With integrals, it can be helpful to introduce the notion of "negative area". See why! Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/e/area-between-a-curve-and-an-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/v/area-between-curves?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/v/evaluating-simple-definite-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area between a curve and the x-axis | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/xR4AnXDBnsw/default.jpg URL=http://www.youtube.com/watch?v=xR4AnXDBnsw description=Based on the fundamental theorem of calculus, we can use antiderivatives to compute integrals. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/e/area-between-a-curve-and-an-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-vertical-area/v/definite-integrals-and-negative-area?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-motion-integrals/v/antiderivative-acceleration?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Definite integral as the limit of a Riemann sum | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/CXCtqBlEZ7g/default.jpg URL=http://www.youtube.com/watch?v=CXCtqBlEZ7g description=Definite integrals represent the exact area under a given curve, and Riemann sums are used to approximate those areas. However, if we take Riemann sums with infinite rectangles of infinitely small width (using limits), we get the exact area, i.e. the definite integral! Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/e/the-definite-integral-as-the-limit-of-a-riemann-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-defining-definite-integral/v/rewriting-definite-integral-as-limit-of-riemann-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/v/practice-approximating-area-under-curve?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuition for second part of fundamental theorem of calculus | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Cz_GWNdf_68/default.jpg URL=http://www.youtube.com/watch?v=Cz_GWNdf_68 description=The second part of the fundamental theorem of calculus tells us that to find the definite integral of a function Ä from _ to _, we need to take an antiderivative of Ä, call it _, and calculate _(_)-_(_). Get some intuition into why this is true. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-diff-eq-intro/v/differential-equation-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-ftc-opt-vids/v/proof-of-fundamental-theorem-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trapezoidal sums | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/1p0NHR5w0Lc/default.jpg URL=http://www.youtube.com/watch?v=1p0NHR5w0Lc description=The area under a curve is commonly approximated using rectangles (e.g. left, right, and midpoint Riemann sums), but it can also be approximated by trapezoids. Trapezoidal sums actually give a better approximation than rectangular sums. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/e/evaluating-a-definite-integral-from-a-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-summation-notation/v/sigma-notation-sum?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-midpoint-trapezoid/v/midpoint-sums?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rectangular and trapezoidal Riemann approximations thumb=https://i.ytimg.com/vi/naRUWPvsQbQ/default.jpg URL=http://www.youtube.com/watch?v=naRUWPvsQbQ description=More free lessons at: http://www.khanacademy.org/video?v=naRUWPvsQbQ/description type=video name=Riemann approximation introduction | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/dEAk0BHBYCM/default.jpg URL=http://www.youtube.com/watch?v=dEAk0BHBYCM description=Approximating the area under a curve using some rectangles. This is called a "Riemann sum". Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/v/evaluating-definite-integral-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-def-integral/v/definite-integrals-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Riemann sums in summation notation | Accumulation and Riemann sums | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ViqrHGae7FA/default.jpg URL=http://www.youtube.com/watch?v=ViqrHGae7FA description=Generalizing the technique of approximating area under a curve with rectangles. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/e/riemann-sums-and-sigma-notation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-riemann-sums-in-summation-notation/v/practice-approximating-area-under-curve?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-accumulation-riemann-sums/ab-summation-notation/v/summation-notation-worked-examples?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits to define continuity thumb=https://i.ytimg.com/vi/kdEQGfeC0SE/default.jpg URL=http://www.youtube.com/watch?v=kdEQGfeC0SE description=More free lessons at: http://www.khanacademy.org/video?v=kdEQGfeC0SE/description type=video name=Osteoarthritis and rheumatoid arthritis thumb=https://i.ytimg.com/vi/U9dUybjsvNY/default.jpg URL=http://www.youtube.com/watch?v=U9dUybjsvNY type=video name=The graphical relationship between a function & its derivative (part 2) | Khan Academy thumb=https://i.ytimg.com/vi/61ecnr8m04U/default.jpg URL=http://www.youtube.com/watch?v=61ecnr8m04U description=Given the graph of a function, Sal sketches the graph of its antiderivative. In other words, he sketches the graph of the function whose derivative is the given function. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/identifying-a-function-s-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/intuitively-drawing-the-derivative-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The graphical relationship between a function & its derivative (part 1) | Khan Academy thumb=https://i.ytimg.com/vi/eVme7kuGyuo/default.jpg URL=http://www.youtube.com/watch?v=eVme7kuGyuo description=Given the graph of a function, Sal sketches the graph of its derivative. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-connecting-func-and-derivatives/v/intuitively-drawing-the-anitderivative-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivatives-analyze-functions/ab-inflection-points/v/mistakes-when-finding-inflection-points-not-checking-candidates?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits at infinity of quotients with square roots (odd power) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/xks4cETlN58/default.jpg URL=http://www.youtube.com/watch?v=xks4cETlN58 description=Sal finds the limits at positive and negative infinity of x/Ã(x_+1). Since the leading term is raised to an odd power (1), the limits at positive and negative infinity are different. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limit-at-infinity-of-rational-expression-with-radical-even?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/more-limits-at-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Infinite limits intro | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/a2Ia_ZlUCaQ/default.jpg URL=http://www.youtube.com/watch?v=a2Ia_ZlUCaQ description=Here we consider the limit of the function f(x)=1/x as x approaches 0, and as x approaches infinity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/infinite-limits-and-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-trig-and-squeeze/v/sinx-over-x-as-x-approaches-0?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits at infinity of quotients (Part 1) | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/gv9ogppphso/default.jpg URL=http://www.youtube.com/watch?v=gv9ogppphso description=Sal finds the limits at positive and negative infinity of (4x_-3x_+3)/(6x_-100x_-10). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/more-limits-at-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-infinite-limits/v/unbounded-limits-algebraic-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits at infinity of quotients (Part 2) | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/KcqO1fX9b_I/default.jpg URL=http://www.youtube.com/watch?v=KcqO1fX9b_I description=Sal analyzes the limits at infinity of three different rational functions. He finds there are three general cases of how the limits behave. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limits-with-two-horizontal-asymptotes?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-at-infinity/v/limits-at-positive-and-negative-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limits by factoring | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/EAa3J_nDkoI/default.jpg URL=http://www.youtube.com/watch?v=EAa3J_nDkoI description=Sal finds the limit of (x_+x-6)/(x-2) at x=2 by factoring and simplifying the expression. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-factor-and-ratio/v/limits-by-rationalizing?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-direct-sub/v/undefined-limit-by-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit at a point of discontinuity thumb=https://i.ytimg.com/vi/Y7sqB1e4RBI/default.jpg URL=http://www.youtube.com/watch?v=Y7sqB1e4RBI description=More free lessons at: http://www.khanacademy.org/video?v=Y7sqB1e4RBI/description type=video name=Determining which limit statements are true thumb=https://i.ytimg.com/vi/_WOr9-_HbAM/default.jpg URL=http://www.youtube.com/watch?v=_WOr9-_HbAM description=More free lessons at: http://www.khanacademy.org/video?v=_WOr9-_HbAM/description type=video name=Limit properties | Limits and continuity | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/lSwsAFgWqR8/default.jpg URL=http://www.youtube.com/watch?v=lSwsAFgWqR8 description=What is the limit of the sum of two functions? What about the product? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-basic-limit-rules/v/limits-of-combined-functions?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-continuity/v/functions-continuous-on-specific-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing derivatives exercise thumb=https://i.ytimg.com/vi/EeIXVN1zUeM/default.jpg URL=http://www.youtube.com/watch?v=EeIXVN1zUeM description=Exercise available at https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives More free lessons at: http://www.khanacademy.org/video?v=EeIXVN1zUeM/description type=video name=Tax brackets and progressive taxation | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/AhgR3X--bbY/default.jpg URL=http://www.youtube.com/watch?v=AhgR3X--bbY description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/calculating-federal-taxes-and-take-home-pay?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/estate-tax-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Open-End and Closed-End Mutual Funds thumb=https://i.ytimg.com/vi/_ZJary7yZyU/default.jpg URL=http://www.youtube.com/watch?v=_ZJary7yZyU type=video name=Tax deductions and credits thumb=https://i.ytimg.com/vi/36cmQrqa_fM/default.jpg URL=http://www.youtube.com/watch?v=36cmQrqa_fM type=video name=Exchange-traded funds thumb=https://i.ytimg.com/vi/X3u1nAuIYEg/default.jpg URL=http://www.youtube.com/watch?v=X3u1nAuIYEg type=video name=Higher interest for higher duration debt thumb=https://i.ytimg.com/vi/Udwmq4s_5M4/default.jpg URL=http://www.youtube.com/watch?v=Udwmq4s_5M4 description=Understanding why you would have to pay more interest on an annualized basis if you borrow for longer terms rather than shorter ones./description type=video name=After Words: "The One World Schoolhouse: Education Reimagined" thumb=https://i.ytimg.com/vi/g55YZj39D4A/default.jpg URL=http://www.youtube.com/watch?v=g55YZj39D4A description=Sal Khan on After Words, hosted by Nina Rees, National Alliance of Public Charter Schools./description type=video name=Nightline: Learn Everything, Online thumb=https://i.ytimg.com/vi/0OtQY-gDuJA/default.jpg URL=http://www.youtube.com/watch?v=0OtQY-gDuJA description=Founder Sal Khan said he developed his YouTube lessons from tutoring his relatives./description type=video name=Formal definition of limits Part 4: using the definition | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/0sCttufU-jQ/default.jpg URL=http://www.youtube.com/watch?v=0sCttufU-jQ description=Watch the definition of a limit in action. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intuition/v/newton-leibniz-and-usain-bolt?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-opt-vids/v/epsilon-delta-definition-of-limits?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Epsilon-delta definition of limits thumb=https://i.ytimg.com/vi/w70af5Ou70M/default.jpg URL=http://www.youtube.com/watch?v=w70af5Ou70M description=More free lessons at: http://www.khanacademy.org/video?v=w70af5Ou70M/description type=video name=Formal definition of limits Part 2: building the idea | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ljzn4SADuZc/default.jpg URL=http://www.youtube.com/watch?v=ljzn4SADuZc description=Some background intuition to make the formal definition of a limit make intuitive sense. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-opt-vids/v/epsilon-delta-definition-of-limits?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-opt-vids/v/limit-intuition-review?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formal definition of limits Part 1: intuition review | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5i8HLmVTcRQ/default.jpg URL=http://www.youtube.com/watch?v=5i8HLmVTcRQ description=A quick reminder of what limits are, to set up for the formal definition of a limit. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-opt-vids/v/building-the-idea-of-epsilon-delta-definition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limit-strategy/v/flow-chart-of-limit-strategies?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differentiating polynomials | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/mzOBlH32qdk/default.jpg URL=http://www.youtube.com/watch?v=mzOBlH32qdk description=Once you know how to take the derivative of x^n, it turns out you can take the derivative of any polynomial. Let's see why... Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/e/power-rule-basic?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/v/differentiating-polynomials-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-power-rule/v/power-rule?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Justifying the power rule | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/BYTfCnR9Sl0/default.jpg URL=http://www.youtube.com/watch?v=BYTfCnR9Sl0 description=Before actually proving the power rule, Sal shows why the power rule makes sense by considering the derivatives of x_ and x_. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-derivtive-rules-opt-vids/v/proof-d-dx-x-n?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-diff-strategy/v/strategies-applying-derivative-rules?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Power rule | Derivative rules | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/bRZmfc1YFsQ/default.jpg URL=http://www.youtube.com/watch?v=bRZmfc1YFsQ description=Sal introduces the power rule, which tells us how to find the derivative of x_. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-power-rule/e/power-rule-intro?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-poly-diff/v/derivative-properties-and-polynomial-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-rules/ab-basic-diff-rules/v/derivative-properties-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Washer method rotating around vertical line (not y-axis), part 2 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/i-Rb4_n929k/default.jpg URL=http://www.youtube.com/watch?v=i-Rb4_n929k description=Evaluating the integral set up in the last video using washer method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/e/the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-for-rotating-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/washer-or-ring-method-for-vertical-line-rotation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Part 2 of shell method with 2 functions of y | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/zg3-miF4qeg/default.jpg URL=http://www.youtube.com/watch?v=zg3-miF4qeg description=Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/e/volumes-of-solids-of-revolution-by-shells?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2017/v/2017-ap-calculus-abbc-4a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-with-two-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shell method with two functions of y | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/OelluIKIkCY/default.jpg URL=http://www.youtube.com/watch?v=OelluIKIkCY description=Stepping it up a notch, our solid is now defined in terms of two separate functions. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/e/volumes-of-solids-of-revolution-by-shells?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/part-2-of-shell-method-with-2-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/calculating-integral-with-shell-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating integral with shell method | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/16aKF_eDGdw/default.jpg URL=http://www.youtube.com/watch?v=16aKF_eDGdw description=Evaluating integral set up with shell method for two functions. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/e/volumes-of-solids-of-revolution-by-shells?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-with-two-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-with-two-functions-of-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shell method with two functions of x | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/SfWrVNyP9E8/default.jpg URL=http://www.youtube.com/watch?v=SfWrVNyP9E8 description=Using the shell method to rotate around a vertical line. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/e/volumes-of-solids-of-revolution-by-shells?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/calculating-integral-with-shell-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-for-rotating-around-horizontal-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shell method for rotating around horizontal line | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/R-Qu3QWOEiA/default.jpg URL=http://www.youtube.com/watch?v=R-Qu3QWOEiA description=Find the volume of a solid of revolution by rotating around the x-axis using the shell method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/e/volumes-of-solids-of-revolution-by-shells?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-with-two-functions-of-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/evaluating-integral-for-shell-method-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating integral for shell method example | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/5ZGCqKAl_CA/default.jpg URL=http://www.youtube.com/watch?v=5ZGCqKAl_CA description=Evaluating the definite integral set up using the shell method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/e/volumes-of-solids-of-revolution-by-shells?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-for-rotating-around-horizontal-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/shell-method-for-rotating-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shell method for rotating around vertical line | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/6Ozz3J-LRrY/default.jpg URL=http://www.youtube.com/watch?v=6Ozz3J-LRrY description=Introducing the shell method for rotation around a vertical line. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/e/volumes-of-solids-of-revolution-by-shells?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-shell-method/v/evaluating-integral-for-shell-method-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/evaluating-integral-for-washer-method-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Washer method rotating around vertical line (not y-axis), part 1 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/WAPZihVUmzE/default.jpg URL=http://www.youtube.com/watch?v=WAPZihVUmzE description=Setting up the definite integral for the volume of a solid of revolution around a vertical line using the "washer" or "ring" method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/e/the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/evaluating-integral-for-washer-method-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/part-2-of-washer-for-not-axis-rotation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating integral disc around vertical line | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/eLdhifUUMmk/default.jpg URL=http://www.youtube.com/watch?v=eLdhifUUMmk description=Calculate the integral from the last video. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/e/the-disk-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/disc-method-washer-method-for-rotation-around-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disc-method-rotating-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Disc method rotating around vertical line | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/jxf7XqvZWWg/default.jpg URL=http://www.youtube.com/watch?v=jxf7XqvZWWg description=Volume of solid created by rotating around vertical line that is not the y-axis using the disc method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/e/the-disk-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/calculating-integral-disc-method-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disc-method-rotation-around-horizontal-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Washer method rotating around horizontal line (not x-axis), part 2 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/LKzpw_HUKNQ/default.jpg URL=http://www.youtube.com/watch?v=LKzpw_HUKNQ description=Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/e/the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/washer-or-ring-method-for-vertical-line-rotation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/washer-method-rotating-around-non-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Washer method rotating around horizontal line (not x-axis), part 1 | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/OFNGpKGg9IQ/default.jpg URL=http://www.youtube.com/watch?v=OFNGpKGg9IQ description=Washer method when rotating around a horizontal line that is not the x-axis. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/e/the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/part-2-of-washer-for-not-axis-rotation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/generalizing-the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Disc method rotation around horizontal line | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/XdzcU5JbVcA/default.jpg URL=http://www.youtube.com/watch?v=XdzcU5JbVcA description=Solid of revolution constructing by rotating around line that is not an axis. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/e/the-disk-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disc-method-rotating-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disc-method-around-y-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Generalizing the washer method | Applications of definite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Thvc2s9aUP4/default.jpg URL=http://www.youtube.com/watch?v=Thvc2s9aUP4 description=Looking at the example from the last video in a more generalized way. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/e/the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/washer-method-rotating-around-non-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/disc-method-washer-method-for-rotation-around-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solid of revolution between two functions (leading up to the washer method) | Khan Academy thumb=https://i.ytimg.com/vi/vhMl755vR5Q/default.jpg URL=http://www.youtube.com/watch?v=vhMl755vR5Q description=Finding the volume of a solid of revolution that is defined between two functions. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/e/the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-washer-method/v/generalizing-the-washer-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/calculating-integral-disc-method-around-vertical-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Disc method around y-axis | Applications of definite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/43AS7bPUORc/default.jpg URL=http://www.youtube.com/watch?v=43AS7bPUORc description=Finding the volume of a figure that is rotated around the y-axis using the disc method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/e/the-disk-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disc-method-rotation-around-horizontal-line?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/generalizing-disc-method-around-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Generalizing disc method around x-axis | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/vmS3cTaxKdA/default.jpg URL=http://www.youtube.com/watch?v=vmS3cTaxKdA description=Generalizing what we did in the last video for f(x) to get the "formula" for using the disc method around the x-axis. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/e/the-disk-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disc-method-around-y-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/disk-method-around-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Disc method around x-axis | Applications of definite integrals | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/btGaOTXxXs8/default.jpg URL=http://www.youtube.com/watch?v=btGaOTXxXs8 description=Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/e/the-disk-method?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-disk-method/v/generalizing-disc-method-around-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-applications-definite-integrals/ab-horizontal-area/v/area-between-two-functions-of-y?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Les Miserables and France's many revolutions | Enlightenment and Revolution | Khan Academy thumb=https://i.ytimg.com/vi/I4iwhvDhvKE/default.jpg URL=http://www.youtube.com/watch?v=I4iwhvDhvKE description=Overview of early 19th century French history and context for Les Miserables. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation/protestant-reformation/v/protestant-reformation-1?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/haitian-revolution/v/haitian-revolution-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/hundred-days-and-waterloo?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U-substitution with definite integral thumb=https://i.ytimg.com/vi/7hCsQOKOYS8/default.jpg URL=http://www.youtube.com/watch?v=7hCsQOKOYS8 description=Example of using u-substitution to evaluate a definite integral More free lessons at: http://www.khanacademy.org/video?v=7hCsQOKOYS8/description type=video name=U-substitution and back substitution thumb=https://i.ytimg.com/vi/J-NC1M6obKo/default.jpg URL=http://www.youtube.com/watch?v=J-NC1M6obKo description=Using u-substitution and "back substituting" for x to simplify an expression More free lessons at: http://www.khanacademy.org/video?v=J-NC1M6obKo/description type=video name=Doing u-substitution twice (second time with w) thumb=https://i.ytimg.com/vi/ShpI3gPgLBA/default.jpg URL=http://www.youtube.com/watch?v=ShpI3gPgLBA description=Example where we do substitution twice to get the integral into a reasonable form More free lessons at: http://www.khanacademy.org/video?v=ShpI3gPgLBA/description type=video name=_-substitution: multiplying by a constant | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/oqCfqIcbE10/default.jpg URL=http://www.youtube.com/watch?v=oqCfqIcbE10 description=Manipulating the expression to make u-substitution a little more obvious. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-defining-u?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=_-substitution: logarithmic function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/OLO64d4Y1qI/default.jpg URL=http://www.youtube.com/watch?v=OLO64d4Y1qI description=Doing u-substitution with ln(x). Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/e/integration-by-u-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-definite-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=_-substitution: rational function | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Zp5z0wa0kgo/default.jpg URL=http://www.youtube.com/watch?v=Zp5z0wa0kgo description=Another example of using u-subsitution. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-with-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-defining-u-exp?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=_-substitution intro | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/b76wePnIBdU/default.jpg URL=http://www.youtube.com/watch?v=b76wePnIBdU description=Using u-substitution to find the anti-derivative of a function. Seeing that u-substitution is the inverse of the chain rule. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-u-substitution/v/u-substitution-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-antiderivatives-ftc/ab-find-definite-int/v/definite-integral-of-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle inequality theorem | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/KlKYvbigBqs/default.jpg URL=http://www.youtube.com/watch?v=KlKYvbigBqs description=Intuition behind the triangle inequality theorem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/e/triangle_inequality_theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/koch-snowflake-fractal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/challenging-perimeter-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fancier logarithm expressions | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/eTWCARmrzJ0/default.jpg URL=http://www.youtube.com/watch?v=eTWCARmrzJ0 description=Examples of logarithms that evaluate to fractional and negative values. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/e/logarithms_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/exponential-to-logarithmic-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/logarithms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Logarithms | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Z5myJ8dg_rM/default.jpg URL=http://www.youtube.com/watch?v=Z5myJ8dg_rM description=Intro to logarithms. Learning that logarithms are just a way of expressing "the exponent that you have to raise a base to to get another number" Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/e/logarithms_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/fancier-logarithm-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/compound-interest-and-e-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ex 1: Multi step equation | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/PPvd4X3Wv5I/default.jpg URL=http://www.youtube.com/watch?v=PPvd4X3Wv5I description=Turning a rational equation into a linear equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/solving-rational-equations/e/linear_equations_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/solving-rational-equations/v/rational-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/rational_expressions/v/rationalizing-denominators-of-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ex 2: Multi-step equation | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Z7C69xP08d8/default.jpg URL=http://www.youtube.com/watch?v=Z7C69xP08d8 description=Turning a non-linear equation into a linear one. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solving-equations-with-the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating expressions with unknown variables 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/CLQRZ2UbQ4Q/default.jpg URL=http://www.youtube.com/watch?v=CLQRZ2UbQ4Q description=A few more examples where we are asked to evaluate an expression with multiple uknown variables Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/e/expressions_with_unknown_variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/mixture-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/v/evaluating-expressions-where-individual-variable-values-are-unknown?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating expressions where individual variable values are unknown | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/TIwGXn4NalM/default.jpg URL=http://www.youtube.com/watch?v=TIwGXn4NalM description=Working through a few examples where we need to evaluate an expression, but we don't know the individual variable values Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/e/expressions_with_unknown_variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/v/evaluating-expressions-with-unknown-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/equations-with-variables-on-both-sides?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ex 3 age word problem | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/RGbA2IyJILY/default.jpg URL=http://www.youtube.com/watch?v=RGbA2IyJILY description=William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-2-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ex 2 age word problem | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/KyHvVJWjW6Y/default.jpg URL=http://www.youtube.com/watch?v=KyHvVJWjW6Y description=In 40 years, Imran will be 11 times as old as he is right now. How old is he right now? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-3-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-1-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ex 1 age word problem | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/W-5liMGKgHA/default.jpg URL=http://www.youtube.com/watch?v=W-5liMGKgHA description=Imran is 18. Diya is 2. How many years will it take for Imran to be 3 times as old as Diya? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/e/age_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-2-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/v/coverting-repeating-decimals-to-fractions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ulam Challenge Announcement thumb=https://i.ytimg.com/vi/h20xr3E5jMs/default.jpg URL=http://www.youtube.com/watch?v=h20xr3E5jMs description=Can you be the next Ulam Challenge: http://www.khanacademy.org/cs/challenge-number-pattern-visualization/1222905291/description type=video name=More on probability density functions thumb=https://i.ytimg.com/vi/gekeKya7Tv4/default.jpg URL=http://www.youtube.com/watch?v=gekeKya7Tv4 description=Exploring a non-uniform probability density function/description type=video name=Continuous probability distribution intro thumb=https://i.ytimg.com/vi/j8XLYFzTJzE/default.jpg URL=http://www.youtube.com/watch?v=j8XLYFzTJzE description=Exploring continuous probability distributions (probability density functions)/description type=video name=Discrete uniform distribution thumb=https://i.ytimg.com/vi/cyIEhL92wiw/default.jpg URL=http://www.youtube.com/watch?v=cyIEhL92wiw description=Working through more examples of discrete probability distribution (probability mass functions)/description type=video name=Accreting mass due to gravity simulation | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/hD4ySbQYYyA/default.jpg URL=http://www.youtube.com/watch?v=hD4ySbQYYyA description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/becoming-a-red-giant?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/birth-of-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to discrete probability distributions thumb=https://i.ytimg.com/vi/mrCxwEZ_22o/default.jpg URL=http://www.youtube.com/watch?v=mrCxwEZ_22o description=Visualizing a simple discrete probability distribution (probability mass function)/description type=video name=Discrete and continuous random variables | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/dOr0NKyD31Q/default.jpg URL=http://www.youtube.com/watch?v=dOr0NKyD31Q description=Defining discrete and continuous random variables. Working through examples of both discrete and continuous random variables. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/e/constructing-probability-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/discrete-probability-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/random-variables?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Random variables | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/3v9w79NhsfI/default.jpg URL=http://www.youtube.com/watch?v=3v9w79NhsfI description=Basic idea and definitions of random variables Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/e/constructing-probability-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/discrete-and-continuous-random-variables?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos/v/statistics-sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to dependent probability thumb=https://i.ytimg.com/vi/6ewi9jpu26M/default.jpg URL=http://www.youtube.com/watch?v=6ewi9jpu26M description=Thinking about whether it makes sense to play a strange marble-oriented casino game./description type=video name=Dependent probability introduction | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VjLEoo3hIoM/default.jpg URL=http://www.youtube.com/watch?v=VjLEoo3hIoM description=Let's get you started with a great explanation of dependent probability using a scenario involving a casino game. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/e/identifying-dependent-and-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/dependent-probability-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/independent-events-3?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More fiscal cliff analysis | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/QwvJ6z49m-c/default.jpg URL=http://www.youtube.com/watch?v=QwvJ6z49m-c description=A bit more in-depth analysis when thinking about the fiscal cliff. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/more-fiscal-cliff-analysis?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=The fiscal cliff | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/lV3LBiivTxw/default.jpg URL=http://www.youtube.com/watch?v=lV3LBiivTxw description=The fiscal cliff refers to a United States federal budget crisis that occurred on January 1, 2013. At that time, both federal spending would be reduced and tax cuts would expire, which experts feared would harm the already-fragile US economy by taking a great deal of money out of circulation. Congress passed a budget compromise within 24 hours of the "fiscal cliff," but the compromise only delayed dealing with the issue, which reemerged with the debt-ceiling crisis of October 2013. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/the-fiscal-cliff?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Chain Rule Challenge Announcement thumb=https://i.ytimg.com/vi/VFt4OGOWK44/default.jpg URL=http://www.youtube.com/watch?v=VFt4OGOWK44 description=Challenge scratchpad available at: http://www.khanacademy.org/cs/challenge-visualizing-the-chain-rule/1180463364/description type=video name=Sample standard deviation and bias | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/DNAnQBhGpRw/default.jpg URL=http://www.youtube.com/watch?v=DNAnQBhGpRw description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/exploring_standard_deviation_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/statistics-standard-deviation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/population-standard-deviation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Population standard deviation | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/PWiWkqHmum0/default.jpg URL=http://www.youtube.com/watch?v=PWiWkqHmum0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/exploring_standard_deviation_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/sample-standard-deviation-and-bias?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-providing-evidence-that-n-1-gives-us-unbiased-estimate?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another Pythagorean theorem proof | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/rcBaqkGp7CA/default.jpg URL=http://www.youtube.com/watch?v=rcBaqkGp7CA description=Visually proving the Pythagorean Theorem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/e/pythagorean-theorem-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/30-60-90-triangle-side-ratios-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/pythagorean-theorem-proof-using-similarity?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bhaskara's proof of the Pythagorean theorem | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/1ul8g55dYA4/default.jpg URL=http://www.youtube.com/watch?v=1ul8g55dYA4 description=An elegant visual proof of the Pythagorean Theorem developed by the 12th century Indian mathematician Bhaskara. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/e/pythagorean-theorem-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/pythagorean-theorem-proof-using-similarity?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/garfield-s-proof-of-the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Garfield's proof of the Pythagorean theorem | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/EINpkcphsPQ/default.jpg URL=http://www.youtube.com/watch?v=EINpkcphsPQ description=James Garfield's proof of the Pythagorean Theorem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/e/pythagorean-theorem-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/bhaskara-s-proof-of-pythagorean-theorem-avi?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-ii?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Accretion Disk Challenge Announcement thumb=https://i.ytimg.com/vi/PNUBDh-64ZM/default.jpg URL=http://www.youtube.com/watch?v=PNUBDh-64ZM description=You can start working on the challenge at: http://www.khanacademy.org/cs/challenge-modeling-accretion-disks/1176457365/description type=video name=Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance thumb=https://i.ytimg.com/vi/F2mfEldxsPI/default.jpg URL=http://www.youtube.com/watch?v=F2mfEldxsPI description=Another visualization providing evidence that dividing by n-1 truly gives an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/unbiased-variance-visualization/1167453164 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-providing-evidence-that-n-1-gives-us-unbiased-estimate?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-showing-bias-in-sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simulation providing evidence that (n-1) gives us unbiased estimate | Khan Academy thumb=https://i.ytimg.com/vi/0QS4VHPV4JA/default.jpg URL=http://www.youtube.com/watch?v=0QS4VHPV4JA description=Simulation by KA user tetef showing that dividing by (n-1) gives us an unbiased estimate of population variance. Simulation at: http://www.khanacademy.org/cs/will-it-converge-towards-1/1167579097 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/population-standard-deviation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/another-simulation-giving-evidence-that-n-1-gives-us-an-unbiased-estimate-of-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simulation showing bias in sample variance | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Cn0skMJ2F3c/default.jpg URL=http://www.youtube.com/watch?v=Cn0skMJ2F3c description=Simulation by Peter Collingridge giving us a better understanding of why we divide by (n-1) when calculating the unbiased sample variance. Simulation available at: http://www.khanacademy.org/cs/challenge-unbiased-estimate-of-population-variance/1169428428 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/another-simulation-giving-evidence-that-n-1-gives-us-an-unbiased-estimate-of-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Challenge Announcement: Statistics Simulation thumb=https://i.ytimg.com/vi/uo4WZ4vbrqA/default.jpg URL=http://www.youtube.com/watch?v=uo4WZ4vbrqA description=See if you can create code at: http://www.khanacademy.org/cs/unbiased-estimate-of-population-variance-challenge/1164356446 to help us all accept that dividing by (n-1) when calculating the sample variance truly gives us an unbiased estimate of the population variance./description type=video name=Overview of Khan Academy statistics thumb=https://i.ytimg.com/vi/CI7_WKmW4N0/default.jpg URL=http://www.youtube.com/watch?v=CI7_WKmW4N0 description=Description of the video and exercise resources for statistics on the Khan Academy http://www.khanacademy.org/math/statistics/v/overview-of-khan-academy-statistics/description type=video name=Illinois pension obligations | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/Tczu_dvVuuk/default.jpg URL=http://www.youtube.com/watch?v=Tczu_dvVuuk description=When a state underfunds its pension system, it becomes difficult for it to meet its financial obligations for its retired state employees, possibly necessitating cuts to other important state programs such as education. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/illinois-pension-obligations?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Pension obligations | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/qBYa_QOWuaE/default.jpg URL=http://www.youtube.com/watch?v=qBYa_QOWuaE description=Thinking about pensions, defined benefit plans, defined contribution plans and how pensions tend to get underfunded. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/pension-obligations?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Review and intuition why we divide by n-1 for the unbiased sample | Khan Academy thumb=https://i.ytimg.com/vi/KkaU2ur3Ymw/default.jpg URL=http://www.youtube.com/watch?v=KkaU2ur3Ymw description=Reviewing the population mean, sample mean, population variance, sample variance and building an intuition for why we divide by n-1 for the unbiased sample variance Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/simulation-showing-bias-in-sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sample variance | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/iHXdzfF7UEs/default.jpg URL=http://www.youtube.com/watch?v=iHXdzfF7UEs description=Thinking about how we can estimate the variance of a population by looking at the data in a sample. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/review-and-intuition-why-we-divide-by-n-1-for-the-unbiased-sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/variance-of-a-population?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Variance of a population | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/dvoHB9djouc/default.jpg URL=http://www.youtube.com/watch?v=dvoHB9djouc description=Variance as a measure of, on average, how far the data points in a population are from the population mean Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/range-variance-and-standard-deviation-as-measures-of-dispersion?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inferring population mean from sample mean | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/k5EbijWu-Ss/default.jpg URL=http://www.youtube.com/watch?v=k5EbijWu-Ss description=Much of statistics is based upon using data from a random sample that is representative of the population at large. From that sample mean, we can infer things about the greater population mean. We'll explain. Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/v/reading-box-and-whisker-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/comparing-means-and-medians?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the unit circle | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/1m9p9iubMLU/default.jpg URL=http://www.youtube.com/watch?v=1m9p9iubMLU description=Extending SOH CAH TOA so that we can define trig functions for a broader class of angles Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/e/unit_circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/unit-circle-manipulative?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radians-and-degrees?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radian and degree conversion practice | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/z8vj8tUCkxY/default.jpg URL=http://www.youtube.com/watch?v=z8vj8tUCkxY description=A little practice converting between radians and degrees and vice versa Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/degrees_to_radians?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radians-and-degrees?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/we-converting-radians-to-degrees?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to radians | Unit circle definition of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/EnwWxMZVBeg/default.jpg URL=http://www.youtube.com/watch?v=EnwWxMZVBeg description=Understanding the definition and motivation for radians and the relationship between radians and degrees Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/e/radians-on-the-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/rotation-by-radians-and-quadrants?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/reciprocal-trig-functions/v/example-using-trig-to-solve-for-missing-information?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistics intro: Mean, median, and mode | Data and statistics | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/h8EYEJ32oQ8/default.jpg URL=http://www.youtube.com/watch?v=h8EYEJ32oQ8 description=This is a fantastic intro to the basics of statistics. Our focus here is to help you understand the core concepts of arithmetic mean, median, and mode. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/e/calculating-the-mean?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/mean-median-and-mode?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/histograms/v/interpreting-histograms?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal's interview on the One World Schoolhouse (C-SPAN 2 After Words) thumb=https://i.ytimg.com/vi/bOvSOSk8MBI/default.jpg URL=http://www.youtube.com/watch?v=bOvSOSk8MBI type=video name=Analyzing solutions to linear systems graphically 2 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/SuB1gkto9LU/default.jpg URL=http://www.youtube.com/watch?v=SuB1gkto9LU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/graphical-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/v/graphical-system-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/independent-and-dependent-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Infinite solutions to systems | Systems of equations and inequalities | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/MpRUEGD2-_c/default.jpg URL=http://www.youtube.com/watch?v=MpRUEGD2-_c description=Consistent, but dependent systems of equations Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/consistent-and-inconsistent-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/inconsistent-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inconsistent systems of equations | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/NJRyxmommqQ/default.jpg URL=http://www.youtube.com/watch?v=NJRyxmommqQ description=Systems of equations without a solution Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/infinite-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/practice-using-substitution-for-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving systems of linear equations with substitution example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/GWZKz4F9hWM/default.jpg URL=http://www.youtube.com/watch?v=GWZKz4F9hWM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/inconsistent-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/solving-systems-with-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Talking bird solves systems with substitution | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/2EwPpga_XPw/default.jpg URL=http://www.youtube.com/watch?v=2EwPpga_XPw description=Solving systems of equations with substitution. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/practice-using-substitution-for-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/systems-with-elimination-practice?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems with elimination practice | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/u5dPUHjagSI/default.jpg URL=http://www.youtube.com/watch?v=u5dPUHjagSI description=Example of solving systems of equations with elimination Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/solving-systems-with-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/how-many-bags-of-potato-chips-do-people-eat?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radio Interview: Sal Khan on Diane Rehm (Oct 3, 2012) thumb=https://i.ytimg.com/vi/-t3MaJzV5Ok/default.jpg URL=http://www.youtube.com/watch?v=-t3MaJzV5Ok description=Sal speaking with Diane Rehm about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20) The interview can also be found at: http://thedianerehmshow.org/shows/2012-10-03/salman-khan-one-world-schoolhouse-education-reimagined/transcript/description type=video name=Radio Interview: Sal Khan on NPR's Talk of the Nation (October 23, 2012) thumb=https://i.ytimg.com/vi/LldS1Z6Zih8/default.jpg URL=http://www.youtube.com/watch?v=LldS1Z6Zih8 description=Sal on NPR speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)/description type=video name=Radio Interview: Sal Khan on Brian Lehrer (Oct 4, 2012) thumb=https://i.ytimg.com/vi/00y85YDqmtA/default.jpg URL=http://www.youtube.com/watch?v=00y85YDqmtA description=Sal on the Brian Lehrer Show speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20) The Brian Lehrer interview can also be found at http://www.wnyc.org/shows/bl/2012/oct/04/salman-khan-reimagines-education//description type=video name=Sal Khan on CNN Starting Point (Oct 5, 2012) thumb=https://i.ytimg.com/vi/-BHdJBwmdCU/default.jpg URL=http://www.youtube.com/watch?v=-BHdJBwmdCU description=Sal on CNN Starting Point - speaking about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)/description type=video name=Sal Khan on Piers Morgan Tonight (Oct 5, 2012) thumb=https://i.ytimg.com/vi/E8Yt7SuJ558/default.jpg URL=http://www.youtube.com/watch?v=E8Yt7SuJ558 description=Sal speaking with Piers Morgan about Khan Academy and his book, the One World Schoolhouse (http://www.amazon.com/dp/1455508381?tag=khanacad-20)/description type=video name=How many bags of potato chips do people eat? | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/VuJEidLhY1E/default.jpg URL=http://www.youtube.com/watch?v=VuJEidLhY1E description=Using elimination to solve a system of equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/systems-with-elimination-practice?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/simple-elimination-practice?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving systems of linear equations with elimination example 1 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/QrHsibKBVwI/default.jpg URL=http://www.youtube.com/watch?v=QrHsibKBVwI description=Practice solving systems of equations through simple elimination Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/how-many-bags-of-potato-chips-do-people-eat?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/king-s-cupcakes-solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=King's cupcakes: Solving systems by elimination | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/xCIHAjsZCE0/default.jpg URL=http://www.youtube.com/watch?v=xCIHAjsZCE0 description=Using simple elimination to figure out how many cupcakes are eaten by children and adults Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/simple-elimination-practice?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/solving-systems-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving systems of equations graphically | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/VhH2nEDCd68/default.jpg URL=http://www.youtube.com/watch?v=VhH2nEDCd68 description=Some practice solving systems graphically Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/graphing_systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/king-s-cupcakes-solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/solving-the-troll-riddle-visually?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy in Idaho thumb=https://i.ytimg.com/vi/-1zR6pFof5c/default.jpg URL=http://www.youtube.com/watch?v=-1zR6pFof5c description=A 3-minute video highlighting educator feedback about the Khan Academy in Idaho training session October 4-5./description type=video name=Sal on AirTalk talking about his new book thumb=https://i.ytimg.com/vi/l-QFT7XNeb4/default.jpg URL=http://www.youtube.com/watch?v=l-QFT7XNeb4 description=Sal talks with Larry Mantle about The One World School House (http://www.amazon.com/The-One-World-Schoolhouse-Reimagined/dp/1455508381) More free lessons at: http://www.khanacademy.org/video?v=l-QFT7XNeb4/description type=video name=Solving the troll riddle visually | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/H-HfmyUzPw8/default.jpg URL=http://www.youtube.com/watch?v=H-HfmyUzPw8 description=Solving the system of equations visually. Now we can save the prince/princess Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/graphing_systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/solving-systems-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/trolls-tolls-and-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trolls, tolls, and systems of equations | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/OcNt-36QKu8/default.jpg URL=http://www.youtube.com/watch?v=OcNt-36QKu8 description=A troll forces us to use algebra to figure out the make-up of his currency. We end up setting up a system of equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/e/graphing_systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/solving-the-troll-riddle-visually?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hundred days and Waterloo | World history | Khan Academy thumb=https://i.ytimg.com/vi/ufymsKi9S3U/default.jpg URL=http://www.youtube.com/watch?v=ufymsKi9S3U description=Napoleon's escapes from Elba and retakes control only to be defeated at Waterloo. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/many-french-revolutions/v/les-miserables-and-france-s-many-revolutions?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-forced-to-abdicate?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Upcoming Google Hangout with Sal about The One World Schoolhouse thumb=https://i.ytimg.com/vi/gi2TVpGUV6M/default.jpg URL=http://www.youtube.com/watch?v=gi2TVpGUV6M description=Have a question for Salman Khan? Next up: join a live Google Play hangout with Salman, as he takes your questions about his new book The One World Schoolhouse: Education Reimagined. For a chance to join the live hangout on air with Salman, check out the Google+ event page, and make sure to RSVP: http://goo.gl/v9D1o/description type=video name=Transfer pricing and tax havens | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/TLSYwkWCIzA/default.jpg URL=http://www.youtube.com/watch?v=TLSYwkWCIzA description=How a corporation can set up a tax haven and use it through transfer pricing. Created by Sal Khan. Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/corporate-taxation/v/is-limited-liability-or-double-taxation-fair?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, "double taxation" and a few ways that multinationals might try to get out of paying taxes. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monte Carlo Simulation to Answer LeBron's Question thumb=https://i.ytimg.com/vi/-fCVxTTAtFQ/default.jpg URL=http://www.youtube.com/watch?v=-fCVxTTAtFQ description=Monte Carlo simulation to determine whether--when down 3 with 30 seconds left--it is better to take a hard 3 or an easy to and attempt to get another possession. Simulation available at: http://www.khanacademy.org/cs/basketball-decisions/1024155511 More free lessons at: http://www.khanacademy.org/video?v=-fCVxTTAtFQ/description type=video name=Solving for the weight of a bunny thumb=https://i.ytimg.com/vi/hDB3qG5aXcc/default.jpg URL=http://www.youtube.com/watch?v=hDB3qG5aXcc description=Solving for variables being multiplied by a fraction/description type=video name=Solving equations with multiplication thumb=https://i.ytimg.com/vi/Y1yo382vvMw/default.jpg URL=http://www.youtube.com/watch?v=Y1yo382vvMw description=Intuition behind why we multiply or divide both sides by the same value/description type=video name=How to solve one-step equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/jWpiMu5LNdg/default.jpg URL=http://www.youtube.com/watch?v=jWpiMu5LNdg description=Learn how to solve one-step addition and subtraction equations by adding or subtracting the same thing from both sides of the equation. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/intuition-why-we-divide-both-sides?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/one-step-equation-intuition-exercise-intro?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to use the one-step equation intuition exercise | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/kZoFI_fcC74/default.jpg URL=http://www.youtube.com/watch?v=kZoFI_fcC74 description=To find the value of a variable, you sometimes have to get it on one side of the equation alone. To do that, you'll need to do something to BOTH sides of the equation. Watch. We'll explain why we do this. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/e/one_step_equation_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/adding-and-subtracting-the-same-thing-from-both-sides?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/one-step-equation-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is blood pressure? thumb=https://i.ytimg.com/vi/T9QKj89ajko/default.jpg URL=http://www.youtube.com/watch?v=T9QKj89ajko description=Figure out what systole and diastole mean and what happens in each heartbeat/description type=video name=Using a stethoscope to determine blood pressure thumb=https://i.ytimg.com/vi/Lf-ClYC767k/default.jpg URL=http://www.youtube.com/watch?v=Lf-ClYC767k description=Learn about Dr. Korotkoff's use of the stethoscope to listen for a blood pressure/description type=video name=Categories of hypertension thumb=https://i.ytimg.com/vi/KkzUhuX7ZP0/default.jpg URL=http://www.youtube.com/watch?v=KkzUhuX7ZP0 description=Learn the categories of hypertension: Pre-Hypertension, Stage 1, and Stage 2/description type=video name=Resistance in a tube thumb=https://i.ytimg.com/vi/7Qxdx8_plaA/default.jpg URL=http://www.youtube.com/watch?v=7Qxdx8_plaA description=Learn about the relationship between resistance and the radius of a tube/description type=video name=Pressure, flow, and resistance in the human body thumb=https://i.ytimg.com/vi/R-aOMbm_hPg/default.jpg URL=http://www.youtube.com/watch?v=R-aOMbm_hPg description=Figure out how pressure relates to flow and resistance in the human body/description type=video name=Adding resistance in series and parallel in a human body thumb=https://i.ytimg.com/vi/XWlbx1WIWsk/default.jpg URL=http://www.youtube.com/watch?v=XWlbx1WIWsk description=Learn how to add up resistance in a series and in a parallel circuit/description type=video name=Low sodium diet thumb=https://i.ytimg.com/vi/aZnRrYvG6ew/default.jpg URL=http://www.youtube.com/watch?v=aZnRrYvG6ew description=Learn the difference between salt and sodium and how much is acceptable in a low sodium diet/description type=video name=Spotting salty foods thumb=https://i.ytimg.com/vi/3Cc4CbRFm10/default.jpg URL=http://www.youtube.com/watch?v=3Cc4CbRFm10 description=Take a guess as to which foods have the most salt and how you can begin a low sodium diet/description type=video name=Body Mass Index thumb=https://i.ytimg.com/vi/IQJav8cGDLo/default.jpg URL=http://www.youtube.com/watch?v=IQJav8cGDLo description=Learn how to calculate your own body mass index/description type=video name=Hypertension categories and symptoms thumb=https://i.ytimg.com/vi/tM1W4BfvdEQ/default.jpg URL=http://www.youtube.com/watch?v=tM1W4BfvdEQ description=Learn the two types of hypertension and the common (or uncommon) symptoms/description type=video name=Hypertension effects on the heart thumb=https://i.ytimg.com/vi/h3VyfjLqRY8/default.jpg URL=http://www.youtube.com/watch?v=h3VyfjLqRY8 description=Learn about how hypertension can cause problems for your heart/description type=video name=Lifestyle changes for managing hypertension thumb=https://i.ytimg.com/vi/RTcDi64pRhY/default.jpg URL=http://www.youtube.com/watch?v=RTcDi64pRhY description=Learn about the importance of improving your diet, losing weight, exercising, and quitting smoking/description type=video name=11 major muscle groups thumb=https://i.ytimg.com/vi/4lXnrckRKPA/default.jpg URL=http://www.youtube.com/watch?v=4lXnrckRKPA description=Learn the 11 major muscle groups in the body so you can be sure to exercise each one/description type=video name=Basics of an exercise routine thumb=https://i.ytimg.com/vi/kqx3tLe8_kU/default.jpg URL=http://www.youtube.com/watch?v=kqx3tLe8_kU description=Learn about the importance of stretching, aerobics, and resistance training/description type=video name=Arteries versus Veins thumb=https://i.ytimg.com/vi/rDPGYH3bjUU/default.jpg URL=http://www.youtube.com/watch?v=rDPGYH3bjUU description=Find out what makes arteries and veins so different/description type=video name=Layers of a blood vessel thumb=https://i.ytimg.com/vi/ptT9BqtUtYY/default.jpg URL=http://www.youtube.com/watch?v=ptT9BqtUtYY description=Learn the layers of the artery, vein, and capillary/description type=video name=Arteriosclerosis, Arteriolosclerosis, and Atherosclerosis thumb=https://i.ytimg.com/vi/VdTX7iqgVuQ/default.jpg URL=http://www.youtube.com/watch?v=VdTX7iqgVuQ description=Learn the difference between arteriosclerosis, arteriolosclerosis, and atherosclerosis!/description type=video name=Adding resistance across blood vessels problem thumb=https://i.ytimg.com/vi/U-fQxbUQuWM/default.jpg URL=http://www.youtube.com/watch?v=U-fQxbUQuWM description=Try this problem of adding up resistance in parallel and in series/description type=video name=Blood pressure changes over time thumb=https://i.ytimg.com/vi/LsaUT-suCBg/default.jpg URL=http://www.youtube.com/watch?v=LsaUT-suCBg description=Learn about how blood pressure changes can occur as you get older, and the relationship between blood pressure and resistance/description type=video name=Hypertension effects on the blood vessels thumb=https://i.ytimg.com/vi/o1A7zKu_zlE/default.jpg URL=http://www.youtube.com/watch?v=o1A7zKu_zlE description=Learn about the effect of high blood pressure on the blood vessels/description type=video name=Autoregulation - Baroreceptors thumb=https://i.ytimg.com/vi/R07V4NOwfsk/default.jpg URL=http://www.youtube.com/watch?v=R07V4NOwfsk description=Find out how nerves in the blood vessels help to control the blood pressure/description type=video name=Atherosclerosis - Part 1 thumb=https://i.ytimg.com/vi/J8Va0T-_ptk/default.jpg URL=http://www.youtube.com/watch?v=J8Va0T-_ptk description=Learn about atherosclerosis and why it's bad for the blood vessels/description type=video name=Atherosclerosis - Part 2 thumb=https://i.ytimg.com/vi/2TBiCKKsMxY/default.jpg URL=http://www.youtube.com/watch?v=2TBiCKKsMxY description=Learn about atherosclerosis and why it's bad for the blood vessels/description type=video name=How to simplify an expression by combining like terms and the distributive property | Khan Academy thumb=https://i.ytimg.com/vi/3NHSwiv_pSE/default.jpg URL=http://www.youtube.com/watch?v=3NHSwiv_pSE description=We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/e/combining_like_terms_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/distributive-property-with-rational-terms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Combining like terms introduction | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/CLWpkv6ccpA/default.jpg URL=http://www.youtube.com/watch?v=CLWpkv6ccpA description=In simple addition we learned to add all the numbers together to get a sum. In algebra, numbers are sometimes attached to variables and we need to make sure that the variables are alike before we add the numbers. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluating-expressions-3-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expressions with two variables | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/KdfSUbEFums/default.jpg URL=http://www.youtube.com/watch?v=KdfSUbEFums description=Basics of expression with two variables Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluating-expressions-with-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluating-exponential-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why aren't we using the multiplication sign? | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/vDaIKB19TvY/default.jpg URL=http://www.youtube.com/watch?v=vDaIKB19TvY description=Great question. In algebra, we do indeed avoid using the multiplication sign. We'll explain it for you here. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/variables-and-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/what-is-a-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is a variable? | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tHYis-DP0oU/default.jpg URL=http://www.youtube.com/watch?v=tHYis-DP0oU description=Our focus here is understanding that a variable is just a symbol that can represent different values in an expression. We got this. Just watch. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/why-aren-t-we-using-the-multiplication-sign?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/why-all-the-letters-in-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LeBron asks about comparing Earth's history to a basketball game thumb=https://i.ytimg.com/vi/13E90TAtZ30/default.jpg URL=http://www.youtube.com/watch?v=13E90TAtZ30 description=LeBron James asks Sal about how long humanity has been around as compared to the history of the Earth More free lessons at: http://www.khanacademy.org/video?v=13E90TAtZ30/description type=video name=LeBron asks about Newton's 3rd Law thumb=https://i.ytimg.com/vi/R8qygu1RUOI/default.jpg URL=http://www.youtube.com/watch?v=R8qygu1RUOI description=How does a basketball apply a force to the shooter's hand? More free lessons at: http://www.khanacademy.org/video?v=R8qygu1RUOI/description type=video name=LeBron Asks: What muscles do we use when shooting a basket? thumb=https://i.ytimg.com/vi/9qEaVwIXqR4/default.jpg URL=http://www.youtube.com/watch?v=9qEaVwIXqR4 description=LeBron James asks Sal Khan about which muscles we use when we shoot a basket. More free lessons at: http://www.khanacademy.org/video?v=9qEaVwIXqR4/description type=video name=LeBron Asks: Why does humidity make it feel hotter? thumb=https://i.ytimg.com/vi/Jgliqx42_BA/default.jpg URL=http://www.youtube.com/watch?v=Jgliqx42_BA description=LeBron asks Sal why humidity makes it feel so much hotter. More free lessons at: http://www.khanacademy.org/video?v=Jgliqx42_BA/description type=video name=LeBron Asks: Why does sweating cool you down? | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/jgnNhL2jSXY/default.jpg URL=http://www.youtube.com/watch?v=jgnNhL2jSXY description=LeBron asks Sal why sweating helps cool the body down. Created by LeBron James and Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-integumentary-system-physiology/rn-integumentary-system/v/overview-of-sensation-and-meissners-corpuscles?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-integumentary-system-physiology/rn-integumentary-system/v/whats-in-sweat-holocrine-apocrine-and-merocrine-glands?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile and Orbital Motion thumb=https://i.ytimg.com/vi/WC7XExMNvF0/default.jpg URL=http://www.youtube.com/watch?v=WC7XExMNvF0 description=Modeling projectile motion at bigger (and faster) scales. Simulation available here: http://www.khanacademy.org/cs/achieving-orbit-and-beyond/1002164118/description type=video name=Overview of KhanAcademy.org thumb=https://i.ytimg.com/vi/RcLy8Cyxw2k/default.jpg URL=http://www.youtube.com/watch?v=RcLy8Cyxw2k description=An overview of the different ways to use Khan Academy More free lessons at: http://www.khanacademy.org/video?v=RcLy8Cyxw2k/description type=video name=Why is this art? Andy Warhol, Campbell's Soup Cans | Art History | Khan Academy thumb=https://i.ytimg.com/vi/SdbOrNLcC0I/default.jpg URL=http://www.youtube.com/watch?v=SdbOrNLcC0I description=Steven Zucker and Sal Khan discuss Andy Warhol's Campbell's Soup Cans. Created by Beth Harris, Steven Zucker and Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/art-1010/pop/v/warhol-gold-marilyn-monroe-1962?utm_source=YT&utm_medium=Desc&utm_campaign=arthistory Missed the previous lesson? https://www.khanacademy.org/humanities/art-1010/abstract-exp-nyschool/ny-school/v/moma-painting-technique-reinhardt?utm_source=YT&utm_medium=Desc&utm_campaign=arthistory Art History on Khan Academy: We understand the history of humanity through art. From prehistoric depictions of bison to contemporary abstraction, artists have addressed their time and place in history and expressed universal truths for tens of thousands of years. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Art History channel: https://www.youtube.com/channel/UCh6IcIhry1DojuFa5Gc8-NQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pendulum Simulation Project thumb=https://i.ytimg.com/vi/Bem-jjMv8aE/default.jpg URL=http://www.youtube.com/watch?v=Bem-jjMv8aE description=Simulation at: http://www.khanacademy.org/cs/pendulum-fun/981671929 Use this simulation to figure out how mass, gravity, string length, or angle might impact the period of a pendulum/description type=video name=Modeling Projectile Motion thumb=https://i.ytimg.com/vi/U6_8oIPFREY/default.jpg URL=http://www.youtube.com/watch?v=U6_8oIPFREY description=Projectile Motion Simulation at: http://www.khanacademy.org/cs/modeling-air-resistance/966875281 (can also ask Sal and others questions there)./description type=video name=Khan Academy Computer Science Launch thumb=https://i.ytimg.com/vi/tygZ2A8rytQ/default.jpg URL=http://www.youtube.com/watch?v=tygZ2A8rytQ description=John Resig talks to Sal about the new computer science tools and content on Khan Academy (Available at: http://www.khanacademy.org/cs) More free lessons at: http://www.khanacademy.org/video?v=tygZ2A8rytQ/description type=video name=Unit circle manipulative | Unit circle definition of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Jni7E2RH43s/default.jpg URL=http://www.youtube.com/watch?v=Jni7E2RH43s description=Walk-through of the Khan Academy Unit Circle manipulative: http://www.khanacademy.org/math/trigonometry/e/unit_circle Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/e/unit_circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/matching-ratios-trig-functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/unit-circle-definition-of-trig-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exploring the mean and median | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/n6xCyzOP900/default.jpg URL=http://www.youtube.com/watch?v=n6xCyzOP900 description=Watch as we use a nifty interactive module to demonstrate how moving points along a number line can help us find the mean and median. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/e/exploring_mean_and_median?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/comparing-distribution-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/mean-median-and-mode?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exploring standard deviation 1 module | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/4kA-IOFwUN4/default.jpg URL=http://www.youtube.com/watch?v=4kA-IOFwUN4 description=Ben Eater and Sal Khan talk through the Khan Academy Standard Deviation 1 Module: http://www.khanacademy.org/math/statistics/e/exploring_standard_deviation_1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/exploring_standard_deviation_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/statistics-alternate-variance-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/statistics-standard-deviation?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why Sweating Cools You Down thumb=https://i.ytimg.com/vi/gLYLGT-VrxE/default.jpg URL=http://www.youtube.com/watch?v=gLYLGT-VrxE description=Thinking about sweat on a molecular level/description type=video name=Fill-in-the-blank triangle proofs example 2 thumb=https://i.ytimg.com/vi/UTQ6z7_dlSk/default.jpg URL=http://www.youtube.com/watch?v=UTQ6z7_dlSk description=Worked example for this type of module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1/description type=video name=Wrong statements in proofs example 1 thumb=https://i.ytimg.com/vi/3RYME7HTJ8c/default.jpg URL=http://www.youtube.com/watch?v=3RYME7HTJ8c description=Example of working through this module: http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_2/description type=video name=Fill-in-the-blank triangle proofs example 1 thumb=https://i.ytimg.com/vi/e4CGX2LXMX0/default.jpg URL=http://www.youtube.com/watch?v=e4CGX2LXMX0 description=Sal works through an example of http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_1/description type=video name=Basic Triangle Proofs Module Example 2 thumb=https://i.ytimg.com/vi/NDeDnfuoDQM/default.jpg URL=http://www.youtube.com/watch?v=NDeDnfuoDQM description=Another example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro/description type=video name=Basic Triangle Proofs Module Example thumb=https://i.ytimg.com/vi/gHMPEkoFVko/default.jpg URL=http://www.youtube.com/watch?v=gHMPEkoFVko description=Simple worked example of using http://www.khanacademy.org/math/geometry/triangles/e/geometry_proofs_intro/description type=video name=Khan Academy Vision thumb=https://i.ytimg.com/vi/a6kwIBI3j98/default.jpg URL=http://www.youtube.com/watch?v=a6kwIBI3j98 description=Overview of what we hope Khan Academy can help catalyze. More free lessons at: http://www.khanacademy.org/video?v=a6kwIBI3j98/description type=video name=Super Yoga plans: Solving systems by elimination | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/8XoQH1MVLew/default.jpg URL=http://www.youtube.com/watch?v=8XoQH1MVLew description=Another way to solve for the number of sessions at which both plans cost the same Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/simple-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-solving-systems-by-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Super Yoga plans: Solving systems by substitution | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/dawGZs4TaTU/default.jpg URL=http://www.youtube.com/watch?v=dawGZs4TaTU description=Continuing our Yoga plan debate by determining where the lines representing the two plans intersect Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-plotting-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Super Yoga plans: Plotting points | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Ke8k8CNxwog/default.jpg URL=http://www.youtube.com/watch?v=Ke8k8CNxwog description=Visualizing the relationship between sessions attended and total cost Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-solving-systems-by-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Variables and equations word problem: Which Super Yoga plan is best? | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/hq1bUM2tyg0/default.jpg URL=http://www.youtube.com/watch?v=hq1bUM2tyg0 description=If you're coming to this video before seeing the previous one, back up! Otherwise, we're solving one-step equations to learn which Super Plan is the best value for our budget. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/e/equations-in-one-variable-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-plotting-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-basic-variables-and-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Variables and equations word problem: Putting them to work for Super Yoga | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/3tRc6mUumFk/default.jpg URL=http://www.youtube.com/watch?v=3tRc6mUumFk description=Using information from the Super Yoga word problem, explore all the possible combinations and create equations which express the possibilities. Let's figure out which plan is best! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/e/equations-in-one-variable-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same-thing-to-both-sides-basic-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Synthetic division example 2 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/3Ee_huKclEQ/default.jpg URL=http://www.youtube.com/watch?v=3Ee_huKclEQ description=Another example of applying the basic synthetic division algorithm Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/why-synthetic-division-works?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/synthetic-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why synthetic division works | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/-nlMXVrgtjw/default.jpg URL=http://www.youtube.com/watch?v=-nlMXVrgtjw description=Demonstrating why synthetic division gives you the same result as traditional algebraic long division Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/synthetic-division-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Synthetic division | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/1byR9UEQJN0/default.jpg URL=http://www.youtube.com/watch?v=1byR9UEQJN0 description=Basic algorithm for Synthetic Division Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/synthetic-division/v/synthetic-division-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-polynomials-with-remainders-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why we do the same thing to both sides basic systems | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/h9ZgZimXn2Q/default.jpg URL=http://www.youtube.com/watch?v=h9ZgZimXn2Q description=Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-basic-variables-and-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same-thing-to-both-sides-multi-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why we do the same thing to both sides: Multi-step equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/vkhYFml0w6c/default.jpg URL=http://www.youtube.com/watch?v=vkhYFml0w6c description=Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same-thing-to-both-sides-basic-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same-thing-to-both-sides-two-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuition for solving one-step equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/kbqO0YTUyAY/default.jpg URL=http://www.youtube.com/watch?v=kbqO0YTUyAY description=This equation can be simplified through a single step to solve for the variable. Can you help? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/e/one_step_equation_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/one-step-equation-intuition-exercise-intro?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/representing-a-relationship-with-a-simple-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving two-step equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_y_Q3_B2Vh8/default.jpg URL=http://www.youtube.com/watch?v=_y_Q3_B2Vh8 description=Here's how we solve a two step equation. It begins with the concept of equality: what we do to one side of the equation must be done to the other. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same-thing-to-both-sides-multi-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/intuition-why-we-divide-both-sides?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to divide from both sides of an equation | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Ye13MIPv6n0/default.jpg URL=http://www.youtube.com/watch?v=Ye13MIPv6n0 description=Let's get a conceptual understanding of why one needs to divide both sides of an equation to solve for a variable. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same-thing-to-both-sides-two-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/adding-and-subtracting-the-same-thing-from-both-sides?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to represent a relationship with a simple equation | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XN48Ba9Ncr8/default.jpg URL=http://www.youtube.com/watch?v=XN48Ba9Ncr8 description=Equations are about relationships (no, not girlfriends and boyfriends!) between the two sides of the equation. Let's again use a scale example to help us understand. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/e/one_step_equation_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/one-step-equation-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same-thing-to-both-sides-simple-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why we do the same thing to both sides of equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/5FBDqY41GjU/default.jpg URL=http://www.youtube.com/watch?v=5FBDqY41GjU description=The example of a scale where we try to achieve balance helps to explain why we do the same thing to both sides of an equation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/e/one_step_equation_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/representing-a-relationship-with-a-simple-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/mileage-assumption-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why all the letters in algebra? | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Tm98lnrlbMA/default.jpg URL=http://www.youtube.com/watch?v=Tm98lnrlbMA description=Jesse Roe and Sal Khan talk about why we use letters in algebra Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/what-is-a-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/descartes-and-cartesian-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Difference between equations and functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/l3iXON1xEC4/default.jpg URL=http://www.youtube.com/watch?v=l3iXON1xEC4 description=Jesse Roe and Sal talk about the difference between equations and functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/relations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/what-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Correction to Washington Post Blog thumb=https://i.ytimg.com/vi/TNaQJjLAhkI/default.jpg URL=http://www.youtube.com/watch?v=TNaQJjLAhkI description=Correction to incorrect math at http://www.washingtonpost.com/blogs/answer-sheet/post/khan-academy-the-hype-and-the-reality/2012/07/23/gJQAuw4J3W_blog.html/description type=video name=Finding average speed or rate | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/mt6Nq0dzFjo/default.jpg URL=http://www.youtube.com/watch?v=mt6Nq0dzFjo description=Using the formula for finding distance we can determine Usian Bolt's average speed, or rate, when he broke the world record in 2009 in the 100m. Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/e/rate_problems_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/finding-unit-rates?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/solving-ratio-problems-with-tables-exercise-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Combining like terms, but more complicated | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/FNnmseBlvaY/default.jpg URL=http://www.youtube.com/watch?v=FNnmseBlvaY description=This example of combining like terms in an expression gets a little hairy. Listen closely. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/e/combining_like_terms_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-and-the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to simplify a big expression by combining like terms | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/1DgDt6gCUKs/default.jpg URL=http://www.youtube.com/watch?v=1DgDt6gCUKs description=We're going to simplify this expression together putting to use our new knowledge of how to combine like terms. Ok? Let's do it! Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating Expressions with Two Variables thumb=https://i.ytimg.com/vi/IQlblcRgucY/default.jpg URL=http://www.youtube.com/watch?v=IQlblcRgucY type=video name=Money and Happiness thumb=https://i.ytimg.com/vi/nzWKdLmk-hk/default.jpg URL=http://www.youtube.com/watch?v=nzWKdLmk-hk type=video name=How to combine like terms | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/P6_sK8hRWCA/default.jpg URL=http://www.youtube.com/watch?v=P6_sK8hRWCA description=Another good explanation (minus Chuck Norris) on the how we combine like terms in algebra. This will totally make sense. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/adding-like-rational-terms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating Expressions with One Variable thumb=https://i.ytimg.com/vi/kS4H-DOIhAE/default.jpg URL=http://www.youtube.com/watch?v=kS4H-DOIhAE description=Basics of evaluating an expression/description type=video name=Newton's Laws Quiz thumb=https://i.ytimg.com/vi/9bfyDdMeJmc/default.jpg URL=http://www.youtube.com/watch?v=9bfyDdMeJmc description=Thinking about which statements would actually be true in classical mechanics/description type=video name=Newton's Third Law Quiz thumb=https://i.ytimg.com/vi/0CFibxYvE8c/default.jpg URL=http://www.youtube.com/watch?v=0CFibxYvE8c type=video name=Weight and Mass thumb=https://i.ytimg.com/vi/hIMYdNPIjZw/default.jpg URL=http://www.youtube.com/watch?v=hIMYdNPIjZw description=Comparing weight and mass/description type=video name=Mass and Inertia thumb=https://i.ytimg.com/vi/fFFgWl6t-6c/default.jpg URL=http://www.youtube.com/watch?v=fFFgWl6t-6c description=Thinking about the difference between mass and inertia/description type=video name=Testimonial from PhD thumb=https://i.ytimg.com/vi/CDteaTWYvKM/default.jpg URL=http://www.youtube.com/watch?v=CDteaTWYvKM description=How a PhD student used Khan Academy to better understand saltatory conduction/description type=video name=Testimonial from Community College Math Teacher thumb=https://i.ytimg.com/vi/MoInimE5DuA/default.jpg URL=http://www.youtube.com/watch?v=MoInimE5DuA description=Lynn Mack talks about how they use Khan Academy at her community college/description type=video name=Newton's 3rd Law Example thumb=https://i.ytimg.com/vi/Ugx3udhJDZE/default.jpg URL=http://www.youtube.com/watch?v=Ugx3udhJDZE description=Do I pull on the Earth with as much force as the Earth pulls on me?/description type=video name=Newton's 2nd Law of Motion thumb=https://i.ytimg.com/vi/P5OSVfL_BtA/default.jpg URL=http://www.youtube.com/watch?v=P5OSVfL_BtA description=Thinking about how force relates to velocity and acceleration/description type=video name=Newton's first law of motion concepts | Physics | Khan Academy thumb=https://i.ytimg.com/vi/D1NubiWCpQg/default.jpg URL=http://www.youtube.com/watch?v=D1NubiWCpQg description=A little quiz on some of the ideas in Newton's first law. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-first-law-of-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-1st-law-of-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newton's first law of motion | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/5-ZFOhHQS68/default.jpg URL=http://www.youtube.com/watch?v=5-ZFOhHQS68 description=Basic primer on Newton's First Law of Motion. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-first-law-of-motion-concepts?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-4-finding-the-optimal-angle-and-distance-with-a-bit-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unbalanced forces and motion | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/IgYUR7aFY-c/default.jpg URL=http://www.youtube.com/watch?v=IgYUR7aFY-c description=Thinking about what is true about how unbalanced forces relate to motion and acceleration. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/lubricon-vi/v/slow-sock-on-lubricon-vi?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/balanced-unbalanced-forces/v/balanced-and-unbalanced-forces?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balanced and unbalanced forces | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/oNgo9bbDi7Q/default.jpg URL=http://www.youtube.com/watch?v=oNgo9bbDi7Q description=Primer on identifying balanced and unbalanced forces. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/balanced-unbalanced-forces/v/unbalanced-forces-and-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/balanced-unbalanced-forces/v/unbalanced-forces-and-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Normal forces on Lubricon VI | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/hJ18CrKU3Zc/default.jpg URL=http://www.youtube.com/watch?v=hJ18CrKU3Zc description=Whether the normal force balances the force of gravity for a frozen sock or banana. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/inclined-plane-force-components?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/lubricon-vi/v/slow-sock-on-lubricon-vi?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slow sock on Lubricon VI | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/CEdXvoAv_oM/default.jpg URL=http://www.youtube.com/watch?v=CEdXvoAv_oM description=What would happen to a slowly moving frozen sock on a frictionless planet. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/lubricon-vi/v/normal-forces-on-lubricon-vi?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/balanced-unbalanced-forces/v/unbalanced-forces-and-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Whether a special quadrilateral can exist | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/6dIMIBO_2mc/default.jpg URL=http://www.youtube.com/watch?v=6dIMIBO_2mc description=Proving whether a special quadrilateral can exist Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/rhombus-diagonals?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/area-of-a-parallelogram?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interview with Jessica Yuen thumb=https://i.ytimg.com/vi/UNsf1X5I_n0/default.jpg URL=http://www.youtube.com/watch?v=UNsf1X5I_n0 description=Interview with Khan Academy Chief of Staff Jessica Yuen/description type=video name=PPACA or "Obamacare" | American civics | US History | Khan Academy thumb=https://i.ytimg.com/vi/8nW9L7cSop4/default.jpg URL=http://www.youtube.com/watch?v=8nW9L7cSop4 description=Basic overview of what is sometimes referred to as "Obamacare" Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/american-civics-parent/american-civics/v/the-fiscal-cliff?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/postwarera/1960s-america/v/vietnam-war?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divisibility tests for 2, 3, 4, 5, 6, 9, 10 | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Df9h5t64NlQ/default.jpg URL=http://www.youtube.com/watch?v=Df9h5t64NlQ description=Worked example of basic divisibility tests Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/e/divisibility_tests?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/recognizing-divisibility?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/abs-value-pre-alg/v/constructing-and-interpreting-absolute-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ordering improper fractions and mixed numbers thumb=https://i.ytimg.com/vi/4Ql6o932ZFU/default.jpg URL=http://www.youtube.com/watch?v=4Ql6o932ZFU description=Worked examples ordering mixed numbers and improper fractions/description type=video name=New operator definitions 2 | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/soUmhhuF08Y/default.jpg URL=http://www.youtube.com/watch?v=soUmhhuF08Y description=Worked examples of working with newly defined operators Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/e/new_definitions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/mathy-functions/v/a-more-formal-understanding-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/v/new-operator-definitions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing improper fractions and mixed numbers | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/R8YKuGJ0plI/default.jpg URL=http://www.youtube.com/watch?v=R8YKuGJ0plI description=Worked examples comparing improper fractions and mixed numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/converting_mixed_numbers_and_improper_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/mixed-numbers-and-improper-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The why of the 3 divisibility rule | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NehkLV77ITk/default.jpg URL=http://www.youtube.com/watch?v=NehkLV77ITk description=Why you can add the digits to see if something is divisible by 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/e/divisibility_tests?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/the-why-of-the-9-divisibility-rule?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/recognizing-divisibility?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The why of the 9 divisibility rule | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XAzFGx3Ruig/default.jpg URL=http://www.youtube.com/watch?v=XAzFGx3Ruig description=Why you can test divisibility by 9 by just adding the digits Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/e/divisibility_tests?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/finding-factors-of-a-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/the-why-of-the-3-divisibility-rule?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The fundamental theorem of arithmetic | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/uzvopM4PZLw/default.jpg URL=http://www.youtube.com/watch?v=uzvopM4PZLw description=Ben Eater and Sal walk through the "Fundamental theorem of arithmetic" module: http://www.khanacademy.org/math/arithmetic/factors-multiples/e/the_fundamental_theorem_of_arithmetic Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/e/the_fundamental_theorem_of_arithmetic?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/common-divisibility-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/prime-factorization-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interactive module: finding factors | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/AHRh3EpJQH0/default.jpg URL=http://www.youtube.com/watch?v=AHRh3EpJQH0 description=Here's a video of Sal working on a exercise which helps you visualize the process of finding a number's factors. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/e/divisibility_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/v/prime-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/finding-factors-and-multiples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hyperbolic functions and the unit hyperbola | Hyperbolic functions | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Wfpb-fniSSk/default.jpg URL=http://www.youtube.com/watch?v=Wfpb-fniSSk description=Why they are called hyperbolic functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/hyperbolic_trig_topic/hyperbolic_trig_intro/e/equation_of_a_hyperbola?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Wired Physics Correction Correction thumb=https://i.ytimg.com/vi/cR-P-mvDPcw/default.jpg URL=http://www.youtube.com/watch?v=cR-P-mvDPcw description=Correction of a mistaken critique by wired blogger Rhett Allain/description type=video name=Hyperbolic function inspiration | Hyperbolic functions | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/zd3RyRk6wYI/default.jpg URL=http://www.youtube.com/watch?v=zd3RyRk6wYI description=Exploring a motivation for even defining hyperbolic sine and cosine Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/u03-l1-t1-we2-inductive-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to economics | Supply, demand, and market equilibrium | Economics | Khan Academy thumb=https://i.ytimg.com/vi/8JYP_wU1JTU/default.jpg URL=http://www.youtube.com/watch?v=8JYP_wU1JTU description=Learn about some of the key ideas that influenced early economic thinkers, such as Adam Smith, in this video. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/economics-finance-domain/macroeconomics/macro-basic-economics-concepts/macro-scarcity/e/introduction-to-scarcity-and-the-economic-way-of-thinking https://www.youtube.com/watch?v=iy-fhpbTH9E&list=PLSQl0a2vh4HDERCw_ddanXbsDpFWcpL-S&index=3 Economics on Khan Academy: Economics is the study of individuals and societies allocate scarce resources. Learn how markets work, how individuals maximize their happiness and firms maximize profits, and how economies grow. We hit the topics you would expect to see in high school and college level introductory economics courses. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence theorem proof (part 5) | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/DrRsXhln4S8/default.jpg URL=http://www.youtube.com/watch?v=DrRsXhln4S8 description=Home stretch. Proving the Type I part This is the last video in our multivariable calculus subject! Now move on to our first video in differential equations: https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-1-of-3?utm_source=YT&utm_medium=Desc&utm_campaign=differentialequations Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence theorem proof (part 4) | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/lUD7ti47IQc/default.jpg URL=http://www.youtube.com/watch?v=lUD7ti47IQc description=More evaluation of the surface integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence theorem proof (part 3) | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/3_W6bGuTfzU/default.jpg URL=http://www.youtube.com/watch?v=3_W6bGuTfzU description=Evaluating the surface integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence theorem proof (part 2) | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/OM3e-J3euXo/default.jpg URL=http://www.youtube.com/watch?v=OM3e-J3euXo description=Breaking up the surface integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence theorem proof (part 1) | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/vCAFlt4pQSQ/default.jpg URL=http://www.youtube.com/watch?v=vCAFlt4pQSQ description=Setting up the proof for the divergence theorem Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/region_types_3d/v/type-iii-regions-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Type III regions in three dimensions | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/bxGnbVOtRYo/default.jpg URL=http://www.youtube.com/watch?v=bxGnbVOtRYo description=Definition and intuition for type 3 regions Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem_proof/v/divergence-theorem-proof-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/region_types_3d/v/type-ii-regions-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Type II regions in three dimensions | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/pZ_2bATPi2I/default.jpg URL=http://www.youtube.com/watch?v=pZ_2bATPi2I description=Definition and intuition for Type 2 Regions Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/region_types_3d/v/type-iii-regions-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/region_types_3d/v/type-i-regions-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Type I regions in three dimensions | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/A11AfJ2-3rE/default.jpg URL=http://www.youtube.com/watch?v=A11AfJ2-3rE description=Definition of Type 1 regions. Visualizing what is and isn't a Type I region Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/region_types_3d/v/type-ii-regions-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/why-we-got-zero-flux-in-divergence-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability and the Monty Hall problem | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Xp6V_lO1ZKA/default.jpg URL=http://www.youtube.com/watch?v=Xp6V_lO1ZKA description=Here we have a presentation and analysis of the famous thought experiment: the "Monty Hall" problem! This is fun. Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/combinatorics_precalc/v/factorial-and-counting-seat-arrangements?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/dependent_events_precalc/v/dependent-probability-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why we got zero flux in divergence theorem example 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/iFpyKTuC7jY/default.jpg URL=http://www.youtube.com/watch?v=iFpyKTuC7jY description=Intuition as to why we go no net flux in the last worked example Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/region_types_3d/v/type-i-regions-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/divergence-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence theorem example 1 | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/asyIsn59Lnc/default.jpg URL=http://www.youtube.com/watch?v=asyIsn59Lnc description=Example of calculating the flux across a surface by using the Divergence Theorem Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/why-we-got-zero-flux-in-divergence-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/3-d-divergence-theorem-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=3D divergence theorem intuition | Divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/XyiQ2dwJHXE/default.jpg URL=http://www.youtube.com/watch?v=XyiQ2dwJHXE description=Intuition behind the Divergence Theorem in three dimensions Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/divergence-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-7?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Undefined and indeterminate | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/lHdlHTsXbZg/default.jpg URL=http://www.youtube.com/watch?v=lHdlHTsXbZg description=Why 0/0 is considered to be indeterminate Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/v/new-operator-definitions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/why-zero-divided-by-zero-is-undefined-indeterminate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why zero divided by zero is undefined/indeterminate | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/PDReqvXfkBA/default.jpg URL=http://www.youtube.com/watch?v=PDReqvXfkBA description=Multiple arguments for what we could get when we divide zero by zero. We will later see that this can be considered indeterminate Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/undefined-and-indeterminate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/why-dividing-by-zero-is-undefined?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why dividing by zero is undefined | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/SQzjzStU1RQ/default.jpg URL=http://www.youtube.com/watch?v=SQzjzStU1RQ description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/why-zero-divided-by-zero-is-undefined-indeterminate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/one-variable-modeling/v/quadratic-inequality-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting a negative = adding a positive | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lBscLuttQq0/default.jpg URL=http://www.youtube.com/watch?v=lBscLuttQq0 description=Find out why subtracting a negative number is the same as adding the absolute value of that number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/e/adding_and_subtracting_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/negative-number-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-integers-with-different-signs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem proof part 7 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/YT6XwkcPcsw/default.jpg URL=http://www.youtube.com/watch?v=YT6XwkcPcsw description=Using Green's Theorem to complete the proof Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/divergence_theorem_topic/divergence_theorem/v/3-d-divergence-theorem-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-6?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem proof part 6 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/02gVmoObrjM/default.jpg URL=http://www.youtube.com/watch?v=02gVmoObrjM description=More manipulating the integrals... Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-7?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem proof part 5 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/a29qZSRDBdE/default.jpg URL=http://www.youtube.com/watch?v=a29qZSRDBdE description=Working on the integrals... Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-6?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem proof part 4 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/1og25U-d3_8/default.jpg URL=http://www.youtube.com/watch?v=1og25U-d3_8 description=Starting to work on the line integral about the surface Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why a negative times a negative makes intuitive sense | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/pzQY-9Nmtws/default.jpg URL=http://www.youtube.com/watch?v=pzQY-9Nmtws description=Use the repeated addition model of multiplication to give an understanding of multiplying negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/e/multiplying_and_dividing_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/dividing-positive-and-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/why-a-negative-times-a-negative-is-a-positive?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why a negative times a negative is a positive | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/rK4sXm_MPWo/default.jpg URL=http://www.youtube.com/watch?v=rK4sXm_MPWo description=Use the distributive property to understand the products of negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/e/multiplying_and_dividing_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/why-a-negative-times-a-negative-makes-intuitive-sense?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/multiplying-positive-and-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem proof part 3 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/4o4P7KrkzXg/default.jpg URL=http://www.youtube.com/watch?v=4o4P7KrkzXg description=Writing our surface integral as a double integral over the domain of our parameters Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem proof part 2 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/apWQoMKVmW4/default.jpg URL=http://www.youtube.com/watch?v=apWQoMKVmW4 description=Figuring out a parameterization of our surface and representing dS Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem proof part 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/qIBqvr5_QqQ/default.jpg URL=http://www.youtube.com/watch?v=qIBqvr5_QqQ description=The beginning of a proof of Stokes' theorem for a special class of surfaces. Finding the curl of our vector field. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/evaluating-line-integral-directly-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating line integral directly - part 2 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Jhu1M53AF0E/default.jpg URL=http://www.youtube.com/watch?v=Jhu1M53AF0E description=Finishing up the line integral with a little trigonometric integration Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_proof/v/stokes-theorem-proof-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/evaluating-line-integral-directly-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating line integral directly - part 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/A57_63yP1UU/default.jpg URL=http://www.youtube.com/watch?v=A57_63yP1UU description=Showing that we didn't need to use Stokes' Theorem to evaluate this line integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/evaluating-line-integral-directly-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-example-part-4-curl-and-final-answer?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes example part 4: Curl and final answer | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/clL2jLXtX4I/default.jpg URL=http://www.youtube.com/watch?v=clL2jLXtX4I description=Finding the curl of the vector field and then evaluating the double integral in the parameter domain Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/evaluating-line-integral-directly-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-example-part-3-surface-to-double-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes example part 3: Surface to double integral | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/VPz4bCQDGgk/default.jpg URL=http://www.youtube.com/watch?v=VPz4bCQDGgk description=Converting the surface integral to a double integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-example-part-4-curl-and-final-answer?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/part-2-parameterizing-the-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes example part 2: Parameterizing the surface | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/9bwy85M1Zxg/default.jpg URL=http://www.youtube.com/watch?v=9bwy85M1Zxg description=Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-example-part-3-surface-to-double-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-example-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes example part 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/E2MRMdaPKcc/default.jpg URL=http://www.youtube.com/watch?v=E2MRMdaPKcc description=Starting to apply Stokes theorem to solve a line integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/part-2-parameterizing-the-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/conditions-for-stokes-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conditions for stokes theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/yDB-191sa2M/default.jpg URL=http://www.youtube.com/watch?v=yDB-191sa2M description=Understanding when you can use Stokes. Piecewise-smooth lines and surfaces Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-example-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/orientation-and-stokes?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Orientation and stokes | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/U6U4HhR3Fqc/default.jpg URL=http://www.youtube.com/watch?v=U6U4HhR3Fqc description=Determining the proper orientation of a boundary given the orientation of the normal vector Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/conditions-for-stokes-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/orienting-boundary-with-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing positive and negative numbers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/bQ-KR3clFgs/default.jpg URL=http://www.youtube.com/watch?v=bQ-KR3clFgs description=Discover the basics of dividing with negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/e/multiplying_and_dividing_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/multiplying-negative-real-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/why-a-negative-times-a-negative-makes-intuitive-sense?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying positive and negative numbers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/47wjId9k2Hs/default.jpg URL=http://www.youtube.com/watch?v=47wjId9k2Hs description=Learn some rules of thumb for multiplying positive and negative numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/e/multiplying_and_dividing_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/why-a-negative-times-a-negative-is-a-positive?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-subtracting-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1/description type=video name=Orienting boundary with surface | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/84NkvxfMPtM/default.jpg URL=http://www.youtube.com/watch?v=84NkvxfMPtM description=Determining the proper orientation of the boundary given the orientation of the surface Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/orientation-and-stokes?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/green-s-and-stokes-theorem-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Green's and Stokes' theorem relationship | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/TPov_v9mLWc/default.jpg URL=http://www.youtube.com/watch?v=TPov_v9mLWc description=Seeing that Green's Theorem is just a special case of Stokes' Theorem Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/orienting-boundary-with-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-theorem-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stokes' theorem intuition | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/9iaYNaENVH4/default.jpg URL=http://www.youtube.com/watch?v=9iaYNaENVH4 description=Conceptual understanding of why the curl of a vector field along a surface would relate to the line integral around the surface's boundary Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/green-s-and-stokes-theorem-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/3d_flux/v/vector-representation-of-a-surface-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=MIT 2012 Commencement Address thumb=https://i.ytimg.com/vi/Pn24jP0YbTI/default.jpg URL=http://www.youtube.com/watch?v=Pn24jP0YbTI description=Salman Khan gives commencement address at MIT (2012) More free lessons at: http://www.khanacademy.org/video?v=Pn24jP0YbTI/description type=video name=Vector representation of a surface integral | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/NCwwfvPEVn8/default.jpg URL=http://www.youtube.com/watch?v=NCwwfvPEVn8 description=Different ways of representing a flux integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/stokes_theorem/v/stokes-theorem-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/3d_flux/v/constructing-a-unit-normal-vector-to-a-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a unit normal vector to a surface | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/usH9VUi2-Xg/default.jpg URL=http://www.youtube.com/watch?v=usH9VUi2-Xg description=Deriving a unit normal vector from the surface parametrization Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/3d_flux/v/vector-representation-of-a-surface-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/3d_flux/v/conceputal-understanding-of-flux-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conceptual understanding of flux in three dimensions | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/ivg3dLTarbs/default.jpg URL=http://www.youtube.com/watch?v=ivg3dLTarbs description=Conceptual understanding of flux across a two-dimensional surface Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/3d_flux/v/constructing-a-unit-normal-vector-to-a-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-4-home-stretch?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Microsoft CEO Summit Innovation in Education thumb=https://i.ytimg.com/vi/QRrTMZkqn2w/default.jpg URL=http://www.youtube.com/watch?v=QRrTMZkqn2w description=Sal on panel at Summit/description type=video name=Surface integral ex3 part 4: Home stretch | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/bhrmEy0wvD0/default.jpg URL=http://www.youtube.com/watch?v=bhrmEy0wvD0 description=Evaluating the third surface integral and coming to the final answer Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/3d_flux/v/conceputal-understanding-of-flux-in-three-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-3-top-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral ex3 part 3: Top surface | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/wiVWafc3JBM/default.jpg URL=http://www.youtube.com/watch?v=wiVWafc3JBM description=Parametrizing the top surface Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-4-home-stretch?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-2-evaluating-the-outside-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral ex3 part 2: Evaluating the outside surface | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/xGiILI906C4/default.jpg URL=http://www.youtube.com/watch?v=xGiILI906C4 description=Evaluating the surface integral over the outside of the chopped cylinder Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-3-top-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-1-parameterizing-the-outside-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral ex3 part 1: Parameterizing the outside surface | Khan Academy thumb=https://i.ytimg.com/vi/EOpzN8ZHqpU/default.jpg URL=http://www.youtube.com/watch?v=EOpzN8ZHqpU description=Breaking apart a larger surface into its components Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-2-evaluating-the-outside-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex2-part-2-evaluating-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral ex2 part 2: Evaluating integral | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/ItW5CxLsLSo/default.jpg URL=http://www.youtube.com/watch?v=ItW5CxLsLSo description=Evaluating the surface integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex3-part-1-parameterizing-the-outside-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex2-part-1-parameterizing-the-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral ex2 part 1: Parameterizing the surface | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/PpUWpxAb39w/default.jpg URL=http://www.youtube.com/watch?v=PpUWpxAb39w description=Parametrizing a surface that can be explicitly made a function of x and y. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex2-part-2-evaluating-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-example-part-3-the-home-stretch?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral example part 3: The home stretch | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/uzOXGgAgmPs/default.jpg URL=http://www.youtube.com/watch?v=uzOXGgAgmPs description=Using a few trigonometric identities to finally calculate the value of the surface integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-ex2-part-1-parameterizing-the-surface?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-example-part-2-calculating-the-surface-differential?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral example part 2: Calculating the surface differential | Khan Academy thumb=https://i.ytimg.com/vi/tyVCA_8MUV4/default.jpg URL=http://www.youtube.com/watch?v=tyVCA_8MUV4 description=Taking the cross product to calculate the surface differential in terms of the parameters Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-example-part-3-the-home-stretch?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-example-part-1-parameterizing-the-unit-sphere?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surface integral example part 1: Parameterizing the unit sphere | Khan Academy thumb=https://i.ytimg.com/vi/E_Hwhp74Rhc/default.jpg URL=http://www.youtube.com/watch?v=E_Hwhp74Rhc description=Visualizing a suitable parameterization Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-example-part-2-calculating-the-surface-differential?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/example-of-calculating-a-surface-integral-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conceptual clarification for 2D divergence theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/qs0hRHfnzTQ/default.jpg URL=http://www.youtube.com/watch?v=qs0hRHfnzTQ description=Understanding the line integral as flux through a boundary Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_parametrization/v/introduction-to-parametrizing-a-surface-with-two-parameters?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/2-d-divergence-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2D divergence theorem | Line integrals and Green's theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/eoJGBr-tJXo/default.jpg URL=http://www.youtube.com/watch?v=eoJGBr-tJXo description=Using Green's Theorem to establish a two dimensional version of the Divergence Theorem Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/conceptual-clarification-for-2-d-divergence-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/constructing-a-unit-normal-vector-to-a-curve?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing a unit normal vector to a curve | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/_9x2cqO7-Ig/default.jpg URL=http://www.youtube.com/watch?v=_9x2cqO7-Ig description=Figuring out a unit normal vector at any point along a curve defined by a position vector function Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/2-d-divergence-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Three pointer vs free throwing probability | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/PddbEVNMgTY/default.jpg URL=http://www.youtube.com/watch?v=PddbEVNMgTY description=Our friend and Cleveland Cavalier, LeBron James, asks Sal if there's a high probability of making three free throws in a row or one three-pointer. Before solving the problem, jot down what you think the answer will be! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/frequency-probability-and-unfair-coins?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/lebron-asks-about-the-chances-of-making-10-free-throws?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why Europe is worried about Greece thumb=https://i.ytimg.com/vi/xc-TSAQkqJ0/default.jpg URL=http://www.youtube.com/watch?v=xc-TSAQkqJ0 description=Why the Greek situation is scary for Europe as a whole More free lessons at: http://www.khanacademy.org/video?v=xc-TSAQkqJ0/description type=video name=How and why Greece would leave the Euro (part 3) thumb=https://i.ytimg.com/vi/jkmwAJMERrY/default.jpg URL=http://www.youtube.com/watch?v=jkmwAJMERrY description=The pain and mechanics of leaving the Euro More free lessons at: http://www.khanacademy.org/video?v=jkmwAJMERrY/description type=video name=Greek Financial Crisis (part 2) thumb=https://i.ytimg.com/vi/CkNArgNPI2Y/default.jpg URL=http://www.youtube.com/watch?v=CkNArgNPI2Y description=What Greece could have done if it had it's own currency More free lessons at: http://www.khanacademy.org/video?v=CkNArgNPI2Y/description type=video name=Greek Debt Recession and Austerity (part 1) thumb=https://i.ytimg.com/vi/9p10aMu1Glo/default.jpg URL=http://www.youtube.com/watch?v=9p10aMu1Glo description=A primer of why Greece is in a tough situation (more in future videos) More free lessons at: http://www.khanacademy.org/video?v=9p10aMu1Glo/description type=video name=Math mechanics of Thai banking crisis | Foreign exchange and trade | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/9p3HNMe-oAI/default.jpg URL=http://www.youtube.com/watch?v=9p3HNMe-oAI description=Going through the mechanics of how a Thai financial institution can lose their shirt when their currency devalues. his is the last video in our microeconomics subject! Now move on to our first video in macroeconomics: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial/v/introduction-to-economics?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/financial-crisis-in-thailand-caused-by-speculative-attack?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Financial crisis in Thailand caused by speculative attack | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/lA3sjWwu5-s/default.jpg URL=http://www.youtube.com/watch?v=lA3sjWwu5-s description=How a currency crisis in Thailand led to a banking crisis in the 1990s Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/math-mechanics-of-thai-banking-crisis?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/speculative-attack-on-a-currency?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Speculative attack on a currency | Foreign exchange and trade | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/P2IWGlR1SHs/default.jpg URL=http://www.youtube.com/watch?v=P2IWGlR1SHs description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/financial-crisis-in-thailand-caused-by-speculative-attack?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/using-reserves-to-stablize-currency?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using reserves to stabilize currency | Foreign exchange and trade | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/TZ7d5kjAlQw/default.jpg URL=http://www.youtube.com/watch?v=TZ7d5kjAlQw description=How a central bank could use foreign currency reserves to keep its own currency from devaluing Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/speculative-attack-on-a-currency?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/accumulating-foreign-currency-reserves?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Accumulating foreign currency reserves | Foreign exchange and trade | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/HiphWQfB6J0/default.jpg URL=http://www.youtube.com/watch?v=HiphWQfB6J0 description=How and why a central bank would build foreign currency reserves Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/currency-reserves/v/using-reserves-to-stablize-currency?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account/v/why-current-and-capital-accounts-net-out?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why Current and Capital Accounts Net Out thumb=https://i.ytimg.com/vi/tYmMEqro8D4/default.jpg URL=http://www.youtube.com/watch?v=tYmMEqro8D4 description=Intuition behind why the current account and capital account should balance More free lessons at: http://www.khanacademy.org/video?v=tYmMEqro8D4/description type=video name=Balance of payments: Capital account | Foreign exchange and trade | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/AimYG1jYD0A/default.jpg URL=http://www.youtube.com/watch?v=AimYG1jYD0A description=Understanding how changes in foreign ownership of assets effects balance of payments Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account/v/why-current-and-capital-accounts-net-out?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account/v/balance-of-payments-current-account?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balance of payments: Current account | Foreign exchange and trade | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/dirBYVjDk7A/default.jpg URL=http://www.youtube.com/watch?v=dirBYVjDk7A description=Understanding the United States Current Account in 2011 Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account/v/balance-of-payments-capital-account?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/government-spending-and-the-is-lm-model?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Free throwing probability | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/iMqCSgqzmiQ/default.jpg URL=http://www.youtube.com/watch?v=iMqCSgqzmiQ description=Our friend and Cleveland Cavalier, LeBron James, asks Sal how to determine the probability of making 10 free throws in a row. Hint: the answer is surprising! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/lebron-asks-about-free-throws-versus-three-pointers?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/events-and-outcomes-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Government spending and the IS-LM model | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/pzQnc_0eZA8/default.jpg URL=http://www.youtube.com/watch?v=pzQnc_0eZA8 description=How a change in fiscal policy shifts the IS curve Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/forex-trade-topic/current-capital-account/v/balance-of-payments-current-account?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/lm-part-of-the-is-lm-model?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LM part of the IS-LM model | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/yro2jLBfyDQ/default.jpg URL=http://www.youtube.com/watch?v=yro2jLBfyDQ description=How the theory of liquidity preference drives demand for money and the LM (liquidity preference-money supply) curve Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/government-spending-and-the-is-lm-model?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/loanable-funds-interpretation-of-is-curve?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The one-time pad | Journey into cryptography | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/FlIG3TvQCBQ/default.jpg URL=http://www.youtube.com/watch?v=FlIG3TvQCBQ description=The perfect cipher Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/frequency-stability?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/polyalphabetic-cipher?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polyalphabetic cipher | Journey into cryptography | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/BgFJD7oCmDE/default.jpg URL=http://www.youtube.com/watch?v=BgFJD7oCmDE description=Brit introduces the polyalphabetic cipher, which creates a lighter fingerprint than the Caesar cipher. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/one-time-pad?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/caesar-cipher?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Loanable funds interpretation of IS curve | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/blbR5f2dq_g/default.jpg URL=http://www.youtube.com/watch?v=blbR5f2dq_g description=Thinking about how real GDP can drive real interest rates Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/lm-part-of-the-is-lm-model?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/connecting-the-keynesian-cross-to-the-is-curve?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Connecting the keynesian cross to the IS curve | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/AW3bPaErUWU/default.jpg URL=http://www.youtube.com/watch?v=AW3bPaErUWU description=Introduction to the Investment/Savings curve Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/loanable-funds-interpretation-of-is-curve?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/investment-and-real-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Investment and real interest rates | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/72p6uw5y-Rw/default.jpg URL=http://www.youtube.com/watch?v=72p6uw5y-Rw description=Intuition as to why high real interest rates lead to low investment and why low rates lead to high investment Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/connecting-the-keynesian-cross-to-the-is-curve?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/keynesian-cross-and-the-multiplier?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Keynesian cross and the multiplier | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/aSY8XPGChAU/default.jpg URL=http://www.youtube.com/watch?v=aSY8XPGChAU description=More on shifting aggregate planned expenditures. Connecting to the multiplier Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/is-lm-model-tutorial/v/investment-and-real-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/details-on-shifting-aggregate-planned-expenditures?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Details on shifting aggregate planned expenditures | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/xF_Z4QK0tsA/default.jpg URL=http://www.youtube.com/watch?v=xF_Z4QK0tsA description=Showing how a change in government spending can lead to a new equilibrium Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/keynesian-cross-and-the-multiplier?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/keynesian-cross?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Keynesian Cross thumb=https://i.ytimg.com/vi/sTw0e-hwYAQ/default.jpg URL=http://www.youtube.com/watch?v=sTw0e-hwYAQ description=Analyzing planned expenditures versus actual output using the Keynesian Cross More free lessons at: http://www.khanacademy.org/video?v=sTw0e-hwYAQ/description type=video name=Consumption function with income dependent taxes | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/wHPGFPIcILM/default.jpg URL=http://www.youtube.com/watch?v=wHPGFPIcILM description=Thinking about a consumption function where taxes are also a function of income (which is more realistic than constant taxes) Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/keynesian-cross-tutorial/v/keynesian-cross?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function/v/generalized-linear-consumption-function?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Generalized linear consumption function | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/N44RZtJ4jj4/default.jpg URL=http://www.youtube.com/watch?v=N44RZtJ4jj4 description=Generalizing a linear consumption function as a function of aggregate income Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function/v/consumption-function-with-income-dependent-taxes?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function/v/consumption-function-basics?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Consumption function basics | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/o5iot_ZsoV0/default.jpg URL=http://www.youtube.com/watch?v=o5iot_ZsoV0 description=The basic idea of a consumption function Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function/v/generalized-linear-consumption-function?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial/v/mathy-version-of-mpc-and-multiplier-optional?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mathy version of MPC and multiplier (optional) | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/czfJKPN-HEo/default.jpg URL=http://www.youtube.com/watch?v=czfJKPN-HEo description=Generalizing what we did in the last video with more math Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/consumption-function/v/consumption-function-basics?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial/v/mpc-and-multiplier?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=MPC and multiplier | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/O_Oozju3RRI/default.jpg URL=http://www.youtube.com/watch?v=O_Oozju3RRI description=Introduction to the marginal propensity to consume and the multiplier Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial/v/mathy-version-of-mpc-and-multiplier-optional?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial/v/money-supply-and-demand-impacting-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mega millions jackpot probability | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/gyqodNhM3EU/default.jpg URL=http://www.youtube.com/watch?v=gyqodNhM3EU description=Probability of winning the Mega Millions jackpot Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/generalizing-with-binomial-coefficients-bit-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/permutations-and-combinations-4?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Caesar cipher | Journey into cryptography | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/sMOZf4GN3oc/default.jpg URL=http://www.youtube.com/watch?v=sMOZf4GN3oc description=Brit explains the Caesar cipher, the first popular substitution cipher, and shows how it was broken with "frequency analysis" Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/polyalphabetic-cipher?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/intro-to-cryptography?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability Space thumb=https://i.ytimg.com/vi/1dPMsJ7I6BY/default.jpg URL=http://www.youtube.com/watch?v=1dPMsJ7I6BY description=Basics of what a probability space is/description type=video name=The fundamental theorem of arithmetic | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/8CluknrLeys/default.jpg URL=http://www.youtube.com/watch?v=8CluknrLeys description=Independent realization from an ancestor's perspective Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/diffie-hellman-key-exchange-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/random-vs-pseudorandom-number-generators?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is cryptography? | Journey into cryptography | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/Kf9KjCKmDcU/default.jpg URL=http://www.youtube.com/watch?v=Kf9KjCKmDcU description=What is Cryptography? A story which takes us from Caesar to Claude Shannon. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/caesar-cipher?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/algorithms/intro-to-algorithms/v/what-are-algorithms?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple fractional reserve accounting (part 2) | The monetary system | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/PASajlCGBTw/default.jpg URL=http://www.youtube.com/watch?v=PASajlCGBTw description=How banks can actually create checking accounts under a fractional reserve system Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting/v/simple-fractional-reserve-accounting-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting/v/simple-fractional-reserve-accounting-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple fractional reserve accounting (part 1) | The monetary system | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/VJgVdzicv_I/default.jpg URL=http://www.youtube.com/watch?v=VJgVdzicv_I description=Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting/v/simple-fractional-reserve-accounting-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/money-supply-tutorial/v/money-supply-m0-m1-and-m2?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Video for Mom Congress thumb=https://i.ytimg.com/vi/j7NxD8x3TOQ/default.jpg URL=http://www.youtube.com/watch?v=j7NxD8x3TOQ description=Video for Mom Congress/description type=video name=Value of KA in India thumb=https://i.ytimg.com/vi/hc_s3U1HDjQ/default.jpg URL=http://www.youtube.com/watch?v=hc_s3U1HDjQ description=Answer for Indian magazine about the value of KA in India/description type=video name=Money supply: M0, M1, and M2 | The monetary system | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/_LPh72gx6GE/default.jpg URL=http://www.youtube.com/watch?v=_LPh72gx6GE description=In this video, learn about the two measures of money that are part of the money supply - M1 and M2 - as well as the monetary base (which is sometimes called M0). Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting/v/simple-fractional-reserve-accounting-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/full-reserve-banking?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Full reserve banking | The monetary system | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/RGMcswR8DnY/default.jpg URL=http://www.youtube.com/watch?v=RGMcswR8DnY description=Overview of full reserve banking in comparison to fractional reserve banking Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/money-supply-tutorial/v/money-supply-m0-m1-and-m2?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/weaknesses-of-fractional-reserve-lending?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Weaknesses of fractional reserve lending | The monetary system | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/1HYSMxu-Dns/default.jpg URL=http://www.youtube.com/watch?v=1HYSMxu-Dns description=Weaknesses of Fractional Reserve Lending Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/full-reserve-banking?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/overview-of-fractional-reserve-banking?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of fractional reserve banking | The monetary system | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/3mUi9IZb4T4/default.jpg URL=http://www.youtube.com/watch?v=3mUi9IZb4T4 description=Big picture of how money enters circulation and how lending can increase the money supply Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/weaknesses-of-fractional-reserve-lending?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/v/risks-of-keynesian-thinking?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Risks of Keynesian thinking | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/EVSkf7l7EuI/default.jpg URL=http://www.youtube.com/watch?v=EVSkf7l7EuI description=Why Keynesian thinking might not be ideal sometimes Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/fractional-reserve-banking-tut/v/overview-of-fractional-reserve-banking?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/v/keynesian-economics?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Keynesian economics | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/hPkh8kOldU4/default.jpg URL=http://www.youtube.com/watch?v=hPkh8kOldU4 description=Contrasting Keynesian and Classical Thinking Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/v/risks-of-keynesian-thinking?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy/v/tax-lever-of-fiscal-policy?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Short-run oil prices | Supply, demand, and market equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ZxtlcZ-d90o/default.jpg URL=http://www.youtube.com/watch?v=ZxtlcZ-d90o description=Thinking about what moves oil prices Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/price-elasticity-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial/v/breakdown-of-gas-prices?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Breakdown of gas prices | Supply, demand, and market equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/1YYy0DEOpoU/default.jpg URL=http://www.youtube.com/watch?v=1YYy0DEOpoU description=Where the dollars at the pump go Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial/v/short-run-oil-prices?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial/v/changes-in-market-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tax lever of fiscal policy | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/BRXBCxKjiK8/default.jpg URL=http://www.youtube.com/watch?v=BRXBCxKjiK8 description=How government can effect aggregate demand through tax policy Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/keynesian-thinking/v/keynesian-economics?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy/v/monetary-and-fiscal-policy?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monetary and fiscal policy | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ntxMOKXHlfo/default.jpg URL=http://www.youtube.com/watch?v=ntxMOKXHlfo description=Basic mechanics of monetary and fiscal policy Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy/v/tax-lever-of-fiscal-policy?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial/v/the-business-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Minli Virdone thumb=https://i.ytimg.com/vi/2onEj_Y9JHc/default.jpg URL=http://www.youtube.com/watch?v=2onEj_Y9JHc description=Informal conversation with Minli (I know. I need a tripod)/description type=video name=Cost-push inflation | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/3A-nAw2tY_4/default.jpg URL=http://www.youtube.com/watch?v=3A-nAw2tY_4 description=How an oil shock can slow the economy while causing inflation Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/business-cycle-tutorial/v/the-business-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/v/real-gdp-driving-price?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Real GDP driving price | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/XsD7mqFDJs0/default.jpg URL=http://www.youtube.com/watch?v=XsD7mqFDJs0 description=Thinking about how high utilization could drive price as another justification for an upward sloping short-run aggregate supply curve Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/v/cost-push-inflation?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/v/demand-pull-inflation-under-johnson?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Demand-pull inflation under Johnson | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/HdqbCvqTb20/default.jpg URL=http://www.youtube.com/watch?v=HdqbCvqTb20 description=Thinking about whether inflation in the late 1960s is consistent with the AD-AS model Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/v/real-gdp-driving-price?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/short-run-aggregate-supply?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Short run aggregate supply | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/3nbalsyibKU/default.jpg URL=http://www.youtube.com/watch?v=3nbalsyibKU description=Justifications for the aggregate supply curve to be upward sloping in the short-run Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/v/demand-pull-inflation-under-johnson?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/long-run-aggregate-supply?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long-run aggregate supply | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/8W0iZk8Yxhs/default.jpg URL=http://www.youtube.com/watch?v=8W0iZk8Yxhs description=Thinking about why aggregate supply may not be influenced by prices in the long-run Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/short-run-aggregate-supply?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/shifts-in-aggregate-demand?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shifts in aggregate demand | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/scN-1B6plos/default.jpg URL=http://www.youtube.com/watch?v=scN-1B6plos description=Factors that might shift aggregate demand Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/long-run-aggregate-supply?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/aggregate-demand?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Aggregate demand | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/oLhohwfwf_U/default.jpg URL=http://www.youtube.com/watch?v=oLhohwfwf_U description=Understanding how aggregate demand is different from demand for a specific good or service. Justifications for the aggregate demand curve being downward sloping Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/shifts-in-aggregate-demand?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/phillips-curve-tutorial/v/phillips-curve?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The business cycle | Aggregate demand and aggregate supply | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/TXrOpjG4dUs/default.jpg URL=http://www.youtube.com/watch?v=TXrOpjG4dUs description=The business cycle and how it may be driven by emotion Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/monetary-fiscal-policy/v/monetary-and-fiscal-policy?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/historic-ad-as-scenarios/v/cost-push-inflation?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Money supply and demand impacting interest rates | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/vItRHYu-A88/default.jpg URL=http://www.youtube.com/watch?v=vItRHYu-A88 description=Examples showing how various factors can affect interest rates Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/income-and-expenditure-topic/MPC-tutorial/v/mpc-and-multiplier?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial/v/interest-as-rent-for-money?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interest as rent for money | The monetary system | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Lru0vKmkzR8/default.jpg URL=http://www.youtube.com/watch?v=Lru0vKmkzR8 description=Thinking about interest as the price of money. Looking at money from a supply and demand perspective Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/interest-price-of-money-tutorial/v/money-supply-and-demand-impacting-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/monetary-system-topic/factional-reserve-accounting/v/simple-fractional-reserve-accounting-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marcos Ojeda thumb=https://i.ytimg.com/vi/LeeqlXUHNuU/default.jpg URL=http://www.youtube.com/watch?v=LeeqlXUHNuU description=Sal talks to Marcos about what he has been working on and why he joined the Khan Academy/description type=video name=Elizabeth Slavitt thumb=https://i.ytimg.com/vi/RTtHES2VY1c/default.jpg URL=http://www.youtube.com/watch?v=RTtHES2VY1c description=Sal talks to Elizabeth about why she joined the Khan Academy and what she hopes to accomplish here./description type=video name=Euclid as the father of geometry | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/WqzK3UAXaHs/default.jpg URL=http://www.youtube.com/watch?v=WqzK3UAXaHs description=We don't normally delve too far into history when talking about math, but sometimes it's important to have perspective about how some of our math concepts came about and how influential they have become. Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/language-and-notation-of-basic-geometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic geometry: language and labels | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/il0EJrY64qE/default.jpg URL=http://www.youtube.com/watch?v=il0EJrY64qE description=Before learning any new concept (mathematical or otherwise), it's important we learn and use a common language and label concepts consistently. Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/lines-line-segments-and-rays?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/euclid-as-the-father-of-geometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What are variables, expressions, and equations? | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/vDqOoI-4Z6M/default.jpg URL=http://www.youtube.com/watch?v=vDqOoI-4Z6M description=Learn what variables, expressions, and equations really are. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/e/dependent-and-independent-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/feel-for-equations-and-inequalit/v/dependent-and-independent-variables-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/algebraic-fractions/v/algebraic-expressions-with-fraction-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newton, Leibniz, and Usain Bolt | Derivatives introduction | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/EKvHQc3QEow/default.jpg URL=http://www.youtube.com/watch?v=EKvHQc3QEow description=Why we study differential calculus. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-derivative-intro/ab-derivative-intuition/v/derivative-as-a-concept?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-continuity/ab-limits-opt-vids/v/proving-a-limit-using-epsilon-delta-definition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the coordinate plane | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/N4nrdf0yYfM/default.jpg URL=http://www.youtube.com/watch?v=N4nrdf0yYfM description=Bridging algebra and geometry. What makes linear equations so linear. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/why-all-the-letters-in-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/the-beauty-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Phillips curve | Inflation - measuring the cost of living | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/v7ZWTZ9NgU4/default.jpg URL=http://www.youtube.com/watch?v=v7ZWTZ9NgU4 description=The observation that inflation and unemployment tend to be inversely correlated Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/aggregate-supply-demand-topic/aggregate-supply-demand-tut/v/aggregate-demand?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/phillips-curve-tutorial/v/unemployment-rate-primer?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Actual CPI-U Basket of Goods thumb=https://i.ytimg.com/vi/-JTw7gNwT6Y/default.jpg URL=http://www.youtube.com/watch?v=-JTw7gNwT6Y description=Exploring the actual weightings for the CPI-U basket of goods More free lessons at: http://www.khanacademy.org/video?v=-JTw7gNwT6Y/description type=video name=Introduction to inflation | Inflation - measuring the cost of living | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/AaR1mPrdbTc/default.jpg URL=http://www.youtube.com/watch?v=AaR1mPrdbTc description=Basics of price inflation and the CPI (consumer price index) Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/inflation-topic/cost-of-living-tutorial/v/actual-cpi-u-basket-of-goods?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/piketty-capital/v/piketty-spreadsheet-1?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example Calculating Real GDP with a Deflator thumb=https://i.ytimg.com/vi/v5YT8GlSxoU/default.jpg URL=http://www.youtube.com/watch?v=v5YT8GlSxoU description=Simple example of calculating Real GDP from Nominal GDP More free lessons at: http://www.khanacademy.org/video?v=v5YT8GlSxoU/description type=video name=GDP deflator | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/L-0LuSw2bTM/default.jpg URL=http://www.youtube.com/watch?v=L-0LuSw2bTM description=Relationship between the GDP deflator, nominal GDP and real GDP Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial/v/example-calculating-real-gdp-with-a-deflator?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial/v/real-gdp-and-nominal-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Real GDP and nominal GDP | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/lBDT2w5Wl84/default.jpg URL=http://www.youtube.com/watch?v=lBDT2w5Wl84 description=Using real GDP as a measure of actual productivity growth Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial/v/gdp-deflator?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/examples-of-accounting-for-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recycling in Mumbai thumb=https://i.ytimg.com/vi/UG9hjtAXufg/default.jpg URL=http://www.youtube.com/watch?v=UG9hjtAXufg description=Figuring out if there is recycling pick-up in Mumbai/description type=video name=Population growth of India and the US thumb=https://i.ytimg.com/vi/FGQIniksGlo/default.jpg URL=http://www.youtube.com/watch?v=FGQIniksGlo description=A more challenging search/description type=video name=Searching for similar images thumb=https://i.ytimg.com/vi/v0kGEP-0Ttw/default.jpg URL=http://www.youtube.com/watch?v=v0kGEP-0Ttw description=Using Google image search to find similar images/description type=video name=The shortest president thumb=https://i.ytimg.com/vi/3m7j-JCW8wU/default.jpg URL=http://www.youtube.com/watch?v=3m7j-JCW8wU description=Exploring how to search on Google and Bing/description type=video name=Abstract-ness | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ZOYRb2sYrL0/default.jpg URL=http://www.youtube.com/watch?v=ZOYRb2sYrL0 description=The general idea behind the word 'abstract' Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/the-beauty-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/origins-of-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Origins of algebra | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_LDR1_Prveo/default.jpg URL=http://www.youtube.com/watch?v=_LDR1_Prveo description=Where did the word "Algebra" and its underlying ideas come from? Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/abstract-ness?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The beauty of algebra | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/kpCJyQ2usJ4/default.jpg URL=http://www.youtube.com/watch?v=kpCJyQ2usJ4 description=Why the abstraction of mathematics is so fundamental Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/descartes-and-cartesian-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/overview_hist_alg/v/abstract-ness?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expressing ratios as fractions thumb=https://i.ytimg.com/vi/TCHYxfobGkg/default.jpg URL=http://www.youtube.com/watch?v=TCHYxfobGkg description=Expressing ratios as fractions/description type=video name=Dividing fractions word problems (ex 1) thumb=https://i.ytimg.com/vi/d59M7zZvvYs/default.jpg URL=http://www.youtube.com/watch?v=d59M7zZvvYs description=Dividing fractions word problems (ex 1)/description type=video name=Dividing fractions word problems (ex 2) thumb=https://i.ytimg.com/vi/4wo6S2NyFh8/default.jpg URL=http://www.youtube.com/watch?v=4wo6S2NyFh8 description=Dividing fractions word problems (ex 2)/description type=video name=How to write expressions with variables | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Q1vMNyIP4Us/default.jpg URL=http://www.youtube.com/watch?v=Q1vMNyIP4Us description=Learn how to write simple algebraic expressions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/e/writing_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/equivalent-forms-of-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to write algebraic expressions with parentheses | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xLYVo_k0_us/default.jpg URL=http://www.youtube.com/watch?v=xLYVo_k0_us description=Learn how to write algebraic expressions that involve grouping quantities in parentheses. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/e/writing_expressions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-2-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/writing-expressions-tutorial/v/writing-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating Expressions 1 thumb=https://i.ytimg.com/vi/VtI_wDEVVeY/default.jpg URL=http://www.youtube.com/watch?v=VtI_wDEVVeY description=Evaluating Expressions 1/description type=video name=Evaluating Expressions 2 thumb=https://i.ytimg.com/vi/z-Kpw6-p8tk/default.jpg URL=http://www.youtube.com/watch?v=z-Kpw6-p8tk description=Evaluating Expressions 2/description type=video name=Distributive property with variables thumb=https://i.ytimg.com/vi/wTuMU2B6MF4/default.jpg URL=http://www.youtube.com/watch?v=wTuMU2B6MF4 description=Distributive property with variables/description type=video name=Examples of accounting for GDP | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/BMNj7-Okclk/default.jpg URL=http://www.youtube.com/watch?v=BMNj7-Okclk description=Thinking about how different types of expenditures would be accounted for in GDP Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/real-nominal-gdp-tutorial/v/real-gdp-and-nominal-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/components-of-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Components of GDP | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Rgr1vRjxzFg/default.jpg URL=http://www.youtube.com/watch?v=Rgr1vRjxzFg description=Thinking about how different types of expenditures would be accounted for in GDP Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/examples-of-accounting-for-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/income-and-expenditure-views-of-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Income and expenditure views of GDP | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Z9b8nnvpim0/default.jpg URL=http://www.youtube.com/watch?v=Z9b8nnvpim0 description=Looking at a simple model of an economy Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/components-of-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/investment-and-consumption?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Investment and consumption | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/N9VIsauE0RA/default.jpg URL=http://www.youtube.com/watch?v=N9VIsauE0RA description=Difference between every day and economic notions of investment and consumption Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/income-and-expenditure-views-of-gdp?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial/v/more-on-final-and-intermediate-gdp-contributions?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fraction to decimal with rounding | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NM8qTo361ic/default.jpg URL=http://www.youtube.com/watch?v=NM8qTo361ic description=Sometimes when you convert a fraction to a decimal you have to do some long division and rounding. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_fractions_to_decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals-ex2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fraction to decimal example | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/sCVyvfOLI6U/default.jpg URL=http://www.youtube.com/watch?v=sCVyvfOLI6U description=This is a great example of converting a fraction to a decimal. Use a scratch pad so you can follow along. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_fractions_to_decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals-ex1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting decimals to fractions example 1 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/DR2DYe7PI74/default.jpg URL=http://www.youtube.com/watch?v=DR2DYe7PI74 description=We're practicing how to convert a lonely decimal into a happy fraction. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-1-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting decimals to fractions example 3 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/OS1g4PDdNdM/default.jpg URL=http://www.youtube.com/watch?v=OS1g4PDdNdM description=Converting this decimal results in a fraction that needs to be simplified. Can you help us? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-2-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-1-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting decimals to fractions example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/9P80OLC6wKY/default.jpg URL=http://www.youtube.com/watch?v=9P80OLC6wKY description=Being a decimal is hard. Everyone picks on you. Not like those lucky fractions. Let's convert the decimal together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-1-ex-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-1-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting decimals to fractions 2 (ex 2) | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qbMe4f2yvKs/default.jpg URL=http://www.youtube.com/watch?v=qbMe4f2yvKs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_decimals_to_fractions_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/describing-the-meaning-of-percent?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-2-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting decimals to percents | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5z568fLBQyQ/default.jpg URL=http://www.youtube.com/watch?v=5z568fLBQyQ description=Need to convert a decimal to a percent? Ok, we'll just use our fraction friends to get us there. Watch and be amazed. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_decimals_to_percents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-decimals-to-percents-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/representing-a-number-as-a-decimal-percent-and-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting decimals to fractions 2 (ex 1) | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/EGr3KC55sfU/default.jpg URL=http://www.youtube.com/watch?v=EGr3KC55sfU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_decimals_to_fractions_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-2-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-1-ex-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting decimals to percents example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3_caioiRu5I/default.jpg URL=http://www.youtube.com/watch?v=3_caioiRu5I description=Understanding how to convert a decimal to a percent comes in really handy sometimes. Let's practice using this problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_decimals_to_percents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-percents-to-decimals-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-decimals-to-percents-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting percents to decimals | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/MkpbtCRwcCE/default.jpg URL=http://www.youtube.com/watch?v=MkpbtCRwcCE description=Remember that "per cent" means "per hundred." Knowing that, converting a percent to a decimal is done by dividing by a 100. We'll demonstrate. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_percents_to_decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-percents-to-decimals-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-decimals-to-percents-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing proportions (ex 1) thumb=https://i.ytimg.com/vi/gqHMd77FUGw/default.jpg URL=http://www.youtube.com/watch?v=gqHMd77FUGw description=Writing proportions (ex 1)/description type=video name=Converting percents to decimals example 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/T4JKO0OGjpQ/default.jpg URL=http://www.youtube.com/watch?v=T4JKO0OGjpQ description=Practice another conversion problem, this time from percent to decimal. Arriving at the answer is as simple as dividing by 100! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_percents_to_decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/finding-percentages-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-percents-to-decimals-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractions on the number line 2 (ex 1) thumb=https://i.ytimg.com/vi/mhE652KeyAA/default.jpg URL=http://www.youtube.com/watch?v=mhE652KeyAA description=Fractions on the number line 2 (ex 1)/description type=video name=Fractions on the number line 3 (ex 1) thumb=https://i.ytimg.com/vi/nyf6mEKit2c/default.jpg URL=http://www.youtube.com/watch?v=nyf6mEKit2c description=Fractions on the number line 3 (ex 1)/description type=video name=Fractions on the number line 3 (ex 2) thumb=https://i.ytimg.com/vi/xWfWfekidjs/default.jpg URL=http://www.youtube.com/watch?v=xWfWfekidjs description=Fractions on the number line 3 (ex 2)/description type=video name=Fractions on the number line 1 (ex 1) thumb=https://i.ytimg.com/vi/W6cabLzQyeU/default.jpg URL=http://www.youtube.com/watch?v=W6cabLzQyeU description=Fractions on the number line 1 (ex 1)/description type=video name=Fractions on the number line 1 (ex 2) thumb=https://i.ytimg.com/vi/Tp6CNr9X74A/default.jpg URL=http://www.youtube.com/watch?v=Tp6CNr9X74A description=Fractions on the number line 1 (ex 2)/description type=video name=Adding mixed numbers with like denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/EGy1W24EPEI/default.jpg URL=http://www.youtube.com/watch?v=EGy1W24EPEI description=Think of a mixed numbers as a number AND a fraction. You can add numbers....you can add fractions with like denominators. Therefore, you can add mixed numbers! Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-0-5-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/subtracting-mixed-numbers-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting mixed numbers with like denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/q19UnHEofOA/default.jpg URL=http://www.youtube.com/watch?v=q19UnHEofOA description=Think of a mixed numbers as a number AND a fraction. You can subtract numbers....you can subtract fractions with like denominators. Therefore, you can subtract mixed numbers! Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-1-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-0-5-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to add mixed numbers that have unlike denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8Eb5MWwcMMY/default.jpg URL=http://www.youtube.com/watch?v=8Eb5MWwcMMY description=You know mixed numbers, right? A number that is both a whole number and a proper fraction? Let's add a few together. If this is new to you, no worries. We'll explain everything. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-1-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-0-5-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to subtract mixed numbers that have unlike denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/_btQus9HV_I/default.jpg URL=http://www.youtube.com/watch?v=_btQus9HV_I description=Learn how to subtract 3 and 2/5 from 7 and 6/9. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/multiplying-fractions-and-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-1-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying mixed numbers 1 (ex 1) thumb=https://i.ytimg.com/vi/gIIOKMSKZ9s/default.jpg URL=http://www.youtube.com/watch?v=gIIOKMSKZ9s description=Multiplying mixed numbers 1 (ex 1)/description type=video name=Fraction word problems 1 (ex 1) thumb=https://i.ytimg.com/vi/apCS_vP-ccg/default.jpg URL=http://www.youtube.com/watch?v=apCS_vP-ccg description=Fraction word problems 1 (ex 1)/description type=video name=Fraction word problems 1 (ex 2) thumb=https://i.ytimg.com/vi/pxznZKskjyE/default.jpg URL=http://www.youtube.com/watch?v=pxznZKskjyE description=Fraction word problems 1 (ex 2)/description type=video name=Fraction word problems 1 (ex 3) thumb=https://i.ytimg.com/vi/VwzPJY5Zv7s/default.jpg URL=http://www.youtube.com/watch?v=VwzPJY5Zv7s description=Fraction word problems 1 (ex 3)/description type=video name=Fraction word problems 1 (ex 4) thumb=https://i.ytimg.com/vi/OOiFJ2FxtDA/default.jpg URL=http://www.youtube.com/watch?v=OOiFJ2FxtDA description=Fraction word problems 1 (ex 4)/description type=video name=Example of adding fractions with unlike denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/TuId1spuyoc/default.jpg URL=http://www.youtube.com/watch?v=TuId1spuyoc description=To add these fractions we need to find a common denominator. The answer can be expressed as a mixed number. Let's try together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/e/adding_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/subtracting-fractions-with-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-with-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying Fractions Word Problems (ex 1) thumb=https://i.ytimg.com/vi/jZUgNoj-oHY/default.jpg URL=http://www.youtube.com/watch?v=jZUgNoj-oHY description=Multiplying Fractions Word Problems (ex 1)/description type=video name=Converting mixed numbers and improper fractions (ex 1) thumb=https://i.ytimg.com/vi/n3cKK0xBK64/default.jpg URL=http://www.youtube.com/watch?v=n3cKK0xBK64 description=Converting mixed numbers and improper fractions (ex 1)/description type=video name=Converting mixed numbers and improper fractions (ex 2) thumb=https://i.ytimg.com/vi/NO8r40tJQ1o/default.jpg URL=http://www.youtube.com/watch?v=NO8r40tJQ1o description=Converting mixed numbers and improper fractions (ex 2)/description type=video name=Subtracting fractions with common denominators (ex 1) thumb=https://i.ytimg.com/vi/qpCoiTcRxAE/default.jpg URL=http://www.youtube.com/watch?v=qpCoiTcRxAE description=Subtracting fractions with common denominators (ex 1)/description type=video name=Subtracting fractions (ex 1) thumb=https://i.ytimg.com/vi/zGk6exFyQl0/default.jpg URL=http://www.youtube.com/watch?v=zGk6exFyQl0 description=Subtracting fractions (ex 1)/description type=video name=Frequency stability property short film | Computer Science | Khan Academy thumb=https://i.ytimg.com/vi/vVXbgbMp0oY/default.jpg URL=http://www.youtube.com/watch?v=vVXbgbMp0oY description=Can you tell the difference between actions based upon flipping a coin and those based upon blind guessing or simulating randomness? This short video examines the frequency stability property. Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/case-study-ww2-encryption-machines?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/one-time-pad?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on final and intermediate GDP contributions | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/C1pHvEAKmLA/default.jpg URL=http://www.youtube.com/watch?v=C1pHvEAKmLA description=What happens when a good is not finished in a period Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/GDP-components-tutorial/v/investment-and-consumption?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial/v/parsing-gross-domestic-product?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parsing gross domestic product | GDP: Measuring national income | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/zh8XASZxo1Q/default.jpg URL=http://www.youtube.com/watch?v=zh8XASZxo1Q description=Understanding what GDP does and doesn't measure. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial/v/more-on-final-and-intermediate-gdp-contributions?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/circular-econ-gdp-tutorial/v/circular-flow-of-income-and-expenditures?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Circular flow of income and expenditures | Macroeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Hfz1bwK5C4o/default.jpg URL=http://www.youtube.com/watch?v=Hfz1bwK5C4o description=Basic introduction to what microeconomics and macroeconomics study. A bit on Adam Smith. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/law-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/economics-introduction/v/introduction-to-economics?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Macroeconomics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding demand curves | Production decisions and economic profit | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/gHs3zuRek7o/default.jpg URL=http://www.youtube.com/watch?v=gHs3zuRek7o description=How to add demand curves Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/price-discrimination-tutorial/v/first-degree-price-discrimination?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/how-many-people-to-hire-given-the-mpr-curve?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How many people to hire given the MPR curve | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/p8PSIpMkEvA/default.jpg URL=http://www.youtube.com/watch?v=p8PSIpMkEvA description=Thinking about how many people it makes sense to hire. Brief discussion of a monopsony. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/adding-demand-curves?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/a-firm-s-marginal-product-revenue-curve?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A firm's marginal product revenue curve | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/cwClnv9Y1Y0/default.jpg URL=http://www.youtube.com/watch?v=cwClnv9Y1Y0 description=Thinking about how much incremental benefit a firm gets from hiring one more person Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/how-many-people-to-hire-given-the-mpr-curve?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-tutorial/v/fixed-variable-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Price discrimination | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/z0wg9ZPyL38/default.jpg URL=http://www.youtube.com/watch?v=z0wg9ZPyL38 description=If a seller has enough market power, it can charge different buyers different prices based on their willingness to pay. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/perfect-competition/v/perfect-competition?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/adding-demand-curves?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tragedy of the commons | Consumer and producer surplus | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/0b2Tl0x-niw/default.jpg URL=http://www.youtube.com/watch?v=0b2Tl0x-niw description=How public resources can be abused Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/production-possibilities-frontier?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/positive-externalities?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Positive externalities | Consumer and producer surplus | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/TSTLLFJbaA4/default.jpg URL=http://www.youtube.com/watch?v=TSTLLFJbaA4 description=Factoring in external benefits Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/tragedy-of-the-commons?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/taxes-for-factoring-in-negative-externalities?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taxes for factoring in negative externalities | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/UYShebe44Xs/default.jpg URL=http://www.youtube.com/watch?v=UYShebe44Xs description=How to factor in negative externalities through taxation Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/positive-externalities?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/negative-externalities?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative externalities | Consumer and producer surplus | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/nBw6KvU51BE/default.jpg URL=http://www.youtube.com/watch?v=nBw6KvU51BE description=Taking negative externalities into account when thinking about the optimal equilibrium price and quantity Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/taxes-for-factoring-in-negative-externalities?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxes-and-perfectly-elastic-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Game theory of cheating firms | Game theory and Nash equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/XTMbRDRaviM/default.jpg URL=http://www.youtube.com/watch?v=XTMbRDRaviM description=Pareto Optimality and more on Nash Equilibrium. Seeing how cheating duopolists parallels the prisoners dilemma This is the last video in our microeconomics subject! Now move on to our first video in macroeconomics: https://www.khanacademy.org/economics-finance-domain/macroeconomics/gdp-topic/econ-intro-in-macro-tutorial/v/introduction-to-economics?utm_source=YT&utm_medium=Desc&utm_campaign=macroeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial/v/why-parties-to-cartels-cheat?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why parties to cartels cheat | Game theory and Nash equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/S6TvRDwgQag/default.jpg URL=http://www.youtube.com/watch?v=S6TvRDwgQag description=Why duopolists would benefit to form a cartel and why it makes sense for them to cheat Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial/v/game-theory-of-cheating-firms?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial/v/more-on-nash-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monopolistic competition and economic profit | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/RUVsEovktGU/default.jpg URL=http://www.youtube.com/watch?v=RUVsEovktGU description=Why it is hard for a monopolisitc competitor to make economic profit in the long run Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/v/oligopolies-duopolies-collusion-and-cartels?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/v/oligopolies-and-monopolisitc-competition?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Review of Revenue and Cost Graphs for a Monopoly thumb=https://i.ytimg.com/vi/jJip-WyQtpk/default.jpg URL=http://www.youtube.com/watch?v=jJip-WyQtpk description=Review of marginal revenue (MR), total revenue (TR), marginal cost (MC) and average total cost (ATC) for a monopoly/description type=video name=More on Nash equilibrium | Game theory and Nash equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ewu_7Dmj_18/default.jpg URL=http://www.youtube.com/watch?v=ewu_7Dmj_18 description=Looking more closely at the definition of Nash Equilibrium Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/cartels-cheat-tutorial/v/why-parties-to-cartels-cheat?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial/v/prisoners-dilemma-and-nash-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Prisoners' dilemma and Nash equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/UkXI-zPcDIM/default.jpg URL=http://www.youtube.com/watch?v=UkXI-zPcDIM description=Why two not-so-loyal criminals would want to snitch each other out Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial/v/more-on-nash-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/v/oligopolies-duopolies-collusion-and-cartels?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Oligopolies, duopolies, collusion, and cartels | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/N0L00FZnhtg/default.jpg URL=http://www.youtube.com/watch?v=N0L00FZnhtg description=Thinking about when oligopolies behave more like monopolies or perfect competitors Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/nash-equilibrium-tutorial/nash-eq-tutorial/v/prisoners-dilemma-and-nash-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/v/monopolistic-competition-and-economic-profit?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Oligopolies and monopolistic competition | Forms of competition | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/PzDthFTzEa0/default.jpg URL=http://www.youtube.com/watch?v=PzDthFTzEa0 description=Thinking about different markets that are in-between monopolies and perfect competition Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolistic-competition-oligop/v/monopolistic-competition-and-economic-profit?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/review-of-revenue-and-cost-graphs-for-a-monopoly-1?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optional calculus proof to show that MR has twice slope of demand | Khan Academy thumb=https://i.ytimg.com/vi/atI4QH2acuw/default.jpg URL=http://www.youtube.com/watch?v=atI4QH2acuw description=Showing that what is optimal for the monopolist is not optimal for society Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/review-of-revenue-and-cost-graphs-for-a-monopoly-1?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/monopolist-optimizing-price-part-3-dead-weight-loss-avi?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monopolist optimizing price: Dead weight loss | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/daxL1ZLrUzg/default.jpg URL=http://www.youtube.com/watch?v=daxL1ZLrUzg description=Showing that what is optimal for the monopolist is not optimal for society Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/optional-calculus-proof-to-show-that-mr-has-twice-slope-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/monopolist-optimizing-price-part-2-marginal-revenue?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monopolist optimizing price: Marginal revenue | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/s1UQQELPyrc/default.jpg URL=http://www.youtube.com/watch?v=s1UQQELPyrc description=Plotting the marginal revenue curve for a monopolist Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/monopolist-optimizing-price-part-3-dead-weight-loss-avi?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/monopolist-optimizing-price-part-1-total-revenue?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Monopolist optimizing price: Total revenue. | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/cczABrLd_uA/default.jpg URL=http://www.youtube.com/watch?v=cczABrLd_uA description=Starting to think about how a monopolist would rationally optimize profits Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/monopolist-optimizing-price-part-2-marginal-revenue?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/perfect-competition-topic/monopolies-tutorial/v/monopoly-basics?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long term supply curve and economic profit | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/CWiHA5XtqgU/default.jpg URL=http://www.youtube.com/watch?v=CWiHA5XtqgU description=Understanding the long term supply curve in terms of economic profit Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-tutorial/v/fixed-variable-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-revenue-below-average-total-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal revenue below average total cost | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ni0TL4pXG5w/default.jpg URL=http://www.youtube.com/watch?v=ni0TL4pXG5w description=Why it is rational to produce at a loss Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/long-term-supply-curve-and-economic-profit?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-revenue-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal revenue and marginal cost | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/xGkE0oHyNhk/default.jpg URL=http://www.youtube.com/watch?v=xGkE0oHyNhk description=Thinking about a rational quantity of juice to produce Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-revenue-below-average-total-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-cost-and-average-total-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Marginal cost and average total cost | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/7t8gdc3YogM/default.jpg URL=http://www.youtube.com/watch?v=7t8gdc3YogM description=Looking at marginal and average total cost in the context of a juice business Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-revenue-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial/v/depreciation-and-opportunity-cost-of-capital?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing average costs and marginal costs as slope | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/k1iHDu9GrJE/default.jpg URL=http://www.youtube.com/watch?v=k1iHDu9GrJE description=Graphing variable cost, fixed cost and total cost Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/labor-marginal-product-rev/v/a-firm-s-marginal-product-revenue-curve?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-tutorial/v/fixed-variable-and-marginal-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fixed, Variable, and Marginal Cost. thumb=https://i.ytimg.com/vi/bBQVaRnHqLs/default.jpg URL=http://www.youtube.com/watch?v=bBQVaRnHqLs description=Thinking about average fixed, variable and marginal cost More free lessons at: http://www.khanacademy.org/video?v=bBQVaRnHqLs/description type=video name=Depreciation and opportunity cost of capital | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ckBKDrKVIMU/default.jpg URL=http://www.youtube.com/watch?v=ckBKDrKVIMU description=How to account for things when you own the building instead of renting it Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/average-costs-margin-rev/v/marginal-cost-and-average-total-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial/v/economic-profit-vs-accounting-profit?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Economic profit vs accounting profit | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/06j_zPdPWOY/default.jpg URL=http://www.youtube.com/watch?v=06j_zPdPWOY description=Difference between a firm's accounting and economic profit Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial/v/depreciation-and-opportunity-cost-of-capital?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/types-of-indifference-curves?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=SOPA and PIPA | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/tzqMoOk9NWc/default.jpg URL=http://www.youtube.com/watch?v=tzqMoOk9NWc description=What SOPA and PIPA are at face value and what they could end up enabling. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/sopa-and-pipa?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Types of indifference curves | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/kJ43GdU5Uzc/default.jpg URL=http://www.youtube.com/watch?v=kJ43GdU5Uzc description=Indifference curves for normal goods, substitutes and perfect complements Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/firm-economic-profit/economic-profit-tutorial/v/economic-profit-vs-accounting-profit?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/optimal-point-on-budget-line?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimal point on budget line | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/nhSSu0Nzs30/default.jpg URL=http://www.youtube.com/watch?v=nhSSu0Nzs30 description=Using indifference curves to think about the point on the budget line that maximizes total utility Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/types-of-indifference-curves?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/indifference-curves-and-marginal-rate-of-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Budget Line thumb=https://i.ytimg.com/vi/Uq5Wzs96tiw/default.jpg URL=http://www.youtube.com/watch?v=Uq5Wzs96tiw description=What I can buy with my income More free lessons at: http://www.khanacademy.org/video?v=Uq5Wzs96tiw/description type=video name=Deriving demand curve from tweaking marginal utility per dollar | Khan Academy thumb=https://i.ytimg.com/vi/4-_-wQc3EGE/default.jpg URL=http://www.youtube.com/watch?v=4-_-wQc3EGE description=Seeing what happens to quantity demanded when price changes Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/budget-line?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/equalizing-marginal-utility-per-dollar-spent?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equalizing Marginal Utility per Dollar Spent thumb=https://i.ytimg.com/vi/KbW6OiuRa1Y/default.jpg URL=http://www.youtube.com/watch?v=KbW6OiuRa1Y description=Why the marginal utility for dollar spent should be theoritically equal for the last increment of either good purchased More free lessons at: http://www.khanacademy.org/video?v=KbW6OiuRa1Y/description type=video name=Marginal Utility thumb=https://i.ytimg.com/vi/Kf9KhwryQNE/default.jpg URL=http://www.youtube.com/watch?v=Kf9KhwryQNE description=Marginal utility and marginal benefit. How you would spend $5 on chocolate and fruit More free lessons at: http://www.khanacademy.org/video?v=Kf9KhwryQNE/description type=video name=Taxes and perfectly elastic demand | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/z1yJPpGC3-o/default.jpg URL=http://www.youtube.com/watch?v=z1yJPpGC3-o description=Who bears the burden for a tax on a good with perfectly elastic demand Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/negative-externalities?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxes-and-perfectly-inelastic-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taxes and perfectly inelastic demand | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/lsn16U5DWD4/default.jpg URL=http://www.youtube.com/watch?v=lsn16U5DWD4 description=Who bears the burden for the taxes when demand is inelastic Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxes-and-perfectly-elastic-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/percentage-tax-on-hamburgers?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Percentage tax on hamburgers | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/xwOTlMaerEQ/default.jpg URL=http://www.youtube.com/watch?v=xwOTlMaerEQ description=What would happen if we have a percentage tax instead of a fixed dollar amount Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxes-and-perfectly-inelastic-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxation-and-dead-weight-loss?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taxation and dead weight loss | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/NuLlNAdrom4/default.jpg URL=http://www.youtube.com/watch?v=NuLlNAdrom4 description=The effect of taxation on the equilibrium price and quantity Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/percentage-tax-on-hamburgers?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/minimum-wage-and-price-floors?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Minimum wage and price floors | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/j0c2vmFGbtk/default.jpg URL=http://www.youtube.com/watch?v=j0c2vmFGbtk description=How a minimum wage might effect the labor market Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/taxation-and-dead-weight-loss?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/rent-control-dead-weight-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rent Control and Deadweight Loss thumb=https://i.ytimg.com/vi/ZrNKHCCVfB8/default.jpg URL=http://www.youtube.com/watch?v=ZrNKHCCVfB8 description=How instituting a price ceiling lower than the equilibrium price reduces the total surplus (dead weight loss)/description type=video name=Vi and Sal Answer Questions About Joining Forces thumb=https://i.ytimg.com/vi/d6vdkYP2qz0/default.jpg URL=http://www.youtube.com/watch?v=d6vdkYP2qz0 description=We respond to questions on Google moderator at http://dft.ba/-vikhan/description type=video name=Producer surplus | Consumer and producer surplus | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/-V-Y5klejSg/default.jpg URL=http://www.youtube.com/watch?v=-V-Y5klejSg description=Looking at the supply curve as an opportunity cost curve. Understanding the producer surplus as the area between the supply curve and the market price Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/deadweight-loss-tutorial/v/rent-control-dead-weight-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/total-consumer-surplus-as-area?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total consumer surplus as area | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/RBUBIRtn0xQ/default.jpg URL=http://www.youtube.com/watch?v=RBUBIRtn0xQ description=Looking at consumer surplus as area between the demand curve and the market price Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/producer-surplus?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/consumer-surplus-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Consumer surplus introduction | Consumer and producer surplus | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/_6kwhF6hoqQ/default.jpg URL=http://www.youtube.com/watch?v=_6kwhF6hoqQ description=Consumer surplus as difference between marginal benefit and price paid Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/total-consumer-surplus-as-area?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/demand-curve-as-marginal-benefit-curve?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Demand Curve as Marginal Benefit Curve thumb=https://i.ytimg.com/vi/KrkbbRxdDZ8/default.jpg URL=http://www.youtube.com/watch?v=KrkbbRxdDZ8 description=Thinking about a demand curve in terms of quantity driving price More free lessons at: http://www.khanacademy.org/video?v=KrkbbRxdDZ8/description type=video name=Elasticity and strange percent changes | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/fUxSB3yYIbs/default.jpg URL=http://www.youtube.com/watch?v=fUxSB3yYIbs description=Why we calculate percent changes in a strange way when calculating elasticities Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/consumer-producer-surplus-tut/v/demand-curve-as-marginal-benefit-curve?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/elasticity-of-supply?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cross elasticity of demand | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Ngv0Be9NxAw/default.jpg URL=http://www.youtube.com/watch?v=Ngv0Be9NxAw description=Price of one good impacting quantity demanded of another Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/elasticity-of-supply?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/more-on-total-revenue-and-elasticity?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Elasticity of supply | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/AAWsuFXojgo/default.jpg URL=http://www.youtube.com/watch?v=AAWsuFXojgo description=Thinking about elasticity of supply Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/elasticity-and-strange-percent-changes?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/cross-elasticity-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total revenue and elasticity | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/Udltkvm9HLc/default.jpg URL=http://www.youtube.com/watch?v=Udltkvm9HLc description=Thinking about how total revenue and elasticity are related Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/more-on-total-revenue-and-elasticity?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/constant-unit-elasticity?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on total revenue and elasticity | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/KgrLUQYgIJE/default.jpg URL=http://www.youtube.com/watch?v=KgrLUQYgIJE description=Clarification on the relationship between total revenue and elasticity Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/cross-elasticity-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/total-revenue-and-elasticity?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constant unit elasticity | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/m7qXvQvWlY4/default.jpg URL=http://www.youtube.com/watch?v=m7qXvQvWlY4 description=What a demand curve with constant unit elasticity would look like Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/total-revenue-and-elasticity?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/perfect-inelasticity-and-perfect-elasticity-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perfect inelasticity and perfect elasticity of demand | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/6udRtn5jSWk/default.jpg URL=http://www.youtube.com/watch?v=6udRtn5jSWk description=Extreme examples of price elasticity of demand Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/constant-unit-elasticity?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/more-on-elasticity-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Announcement thumb=https://i.ytimg.com/vi/eWuAYoHysIo/default.jpg URL=http://www.youtube.com/watch?v=eWuAYoHysIo description=Vi Hart joining Khan Academy announcement/description type=video name=More on elasticity of demand | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/YOT8ryWzwbY/default.jpg URL=http://www.youtube.com/watch?v=YOT8ryWzwbY description=Introduction to price elasticity of demand Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/more-on-elasticity-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial/v/breakdown-of-gas-prices?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Price elasticity of demand using the midpoint method | Elasticity | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/slP8XZ6Nq40/default.jpg URL=http://www.youtube.com/watch?v=slP8XZ6Nq40 description=In this video, learn about calculating the price elasticity of demand using the midpoint method (also called the arc elasticity method). Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/elasticity-tutorial/price-elasticity-tutorial/v/more-on-elasticity-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/oil-prices-tutorial/v/breakdown-of-gas-prices?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Changes in Market Equilibrium thumb=https://i.ytimg.com/vi/NgPqyM3I_8o/default.jpg URL=http://www.youtube.com/watch?v=NgPqyM3I_8o description=How the equilibrium price or quantity might change due to changes in supply or demand More free lessons at: http://www.khanacademy.org/video?v=NgPqyM3I_8o/description type=video name=Market equilibrium | Supply, demand, and market equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/PEMkfgrifDw/default.jpg URL=http://www.youtube.com/watch?v=PEMkfgrifDw description=Equilibrium price and quantity for supply and demand Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/market-equilibrium-tutorial/v/changes-in-market-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial/v/long-term-supply-curve-1?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factors affecting supply | Supply, demand, and market equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/0isM0GF-rMI/default.jpg URL=http://www.youtube.com/watch?v=0isM0GF-rMI description=How the price of inputs, price of related goods, number of suppliers technology, and expected future prices affects the supply curve Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial/v/long-term-supply-curve-1?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial/v/law-of-supply?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of supply | Supply, demand, and market equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/3xCzhdVtdMI/default.jpg URL=http://www.youtube.com/watch?v=3xCzhdVtdMI description=Introduction to the Law of Supply Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial/v/factors-affecting-supply?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/inferior-goods-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inferior goods clarificationx thumb=https://i.ytimg.com/vi/TAhRoJB34nw/default.jpg URL=http://www.youtube.com/watch?v=TAhRoJB34nw description=More clarification on inferior and normal goods Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/supply-curve-tutorial/v/law-of-supply?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/normal-and-inferior-goods?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Normal and inferior goods | Supply, demand, and market equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/wYuAwm-5-Bk/default.jpg URL=http://www.youtube.com/watch?v=wYuAwm-5-Bk description=How the demand for some goods could actually go down if incomes go up Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/inferior-goods-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/changes-in-income-population-or-preferences?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Changes in income, population, or preferences | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/do1HDIdfQkU/default.jpg URL=http://www.youtube.com/watch?v=do1HDIdfQkU description=How demand can be affected by changes in income, population or preferences Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/normal-and-inferior-goods?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/change-in-expected-future-prices-and-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Price of related products and demand | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/-oClpRv7msg/default.jpg URL=http://www.youtube.com/watch?v=-oClpRv7msg description=How changes in the price of related goods can shift demand Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/change-in-expected-future-prices-and-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/law-of-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of demand | Supply, demand, and market equilibrium | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/ShzPtU7IOXs/default.jpg URL=http://www.youtube.com/watch?v=ShzPtU7IOXs description=Example of the law of demand Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/demand-curve-tutorial/v/price-of-related-products-and-demand?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/supply-demand-equilibrium/economics-introduction/v/introduction-to-economics?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparative advantage and absolute advantage | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/xN3UV5FsBkU/default.jpg URL=http://www.youtube.com/watch?v=xN3UV5FsBkU description=Showing that a party benefits from trade as long as there is a comparative advantage (and not necessarily an absolute advantage) Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/marginal-utility-tutorial/v/marginal-utility?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial/v/comparative-advantage-specialization-and-gains-from-trade?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparative advantage specialization and gains from trade | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/xx9xNJlPOJo/default.jpg URL=http://www.youtube.com/watch?v=xx9xNJlPOJo description=How two parties can get better outcomes by specializing in their comparative advantage and trading Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial/v/comparative-advantage-and-absolute-advantage?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/economic-growth-through-investment?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Economic growth through investment | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/a9aUMpGs6c8/default.jpg URL=http://www.youtube.com/watch?v=a9aUMpGs6c8 description=How investing for capital formation can expand the production possibilities frontier (PPF) Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/gains-from-trade-tutorial/v/comparative-advantage-specialization-and-gains-from-trade?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/allocative-efficiency-and-marginal-benefit?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Allocative efficiency and marginal benefit | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/MT4akJsAmb0/default.jpg URL=http://www.youtube.com/watch?v=MT4akJsAmb0 description=Marginal Utility and maximization Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/economic-growth-through-investment?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/increasing-opportunity-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Increasing opportunity cost | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/00fgAG6VrRQ/default.jpg URL=http://www.youtube.com/watch?v=00fgAG6VrRQ description=Why the opportunity cost may increase as you pursue more rabbits Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/allocative-efficiency-and-marginal-benefit?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/opportunity-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Opportunity Cost thumb=https://i.ytimg.com/vi/pkEiHZAtoro/default.jpg URL=http://www.youtube.com/watch?v=pkEiHZAtoro description=Opportunity cost (and marginal cost) based on the PPF More free lessons at: http://www.khanacademy.org/video?v=pkEiHZAtoro/description type=video name=Production possibilities frontier | Microeconomics | Khan Academy thumb=https://i.ytimg.com/vi/_7VHfuWV-Qg/default.jpg URL=http://www.youtube.com/watch?v=_7VHfuWV-Qg description=Tradeoffs for a hunter gatherer and the production possibilities frontier, and the notion of "ceteris paribus" (which means "everything else held equal"). Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/microeconomics/choices-opp-cost-tutorial/production-possibilities/v/opportunity-cost?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Missed the previous lesson? https://www.khanacademy.org/economics-finance-domain/microeconomics/consumer-producer-surplus/externalities-topic/v/tragedy-of-the-commons?utm_source=YT&utm_medium=Desc&utm_campaign=microeconomics Microeconomics on Khan Academy: Topics covered in a traditional college level introductory microeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Microeconomics channel: https://www.youtube.com/channel/UC_6zQ54DjQJdLodwsxAsdZg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Verbal Answers to "Ask Me Anything" on Reddit thumb=https://i.ytimg.com/vi/2DVDI-HF4Eg/default.jpg URL=http://www.youtube.com/watch?v=2DVDI-HF4Eg description=Trying to give my fingers some rest by answering things verbally/description type=video name=Thomas Malthus and population growth | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/r1ywppAJ1xs/default.jpg URL=http://www.youtube.com/watch?v=r1ywppAJ1xs description=Thomas Malthus's views on population. Malthusian limits. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/land-productivity-limiting-human-population?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/collective-learning?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Random predictions for 2060 | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/E4rbS0oxg30/default.jpg URL=http://www.youtube.com/watch?v=E4rbS0oxg30 description=Sal's random predictions for the year 2060. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/chronometric-revolution?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/energy-inputs-for-tilling-a-hectare-of-land?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Year 2060: Education Predictions thumb=https://i.ytimg.com/vi/CiKrFcgVSIU/default.jpg URL=http://www.youtube.com/watch?v=CiKrFcgVSIU description=Sal is asked to make some predictions for the year 2060 More free lessons at: http://www.khanacademy.org/video?v=CiKrFcgVSIU/description type=video name=Energy inputs for tilling a hectare of land | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/5I9dH5im24U/default.jpg URL=http://www.youtube.com/watch?v=5I9dH5im24U description=Thinking about energy consumption for tilling land. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/random-predictions-for-2060?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/land-productivity-limiting-human-population?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Land productivity limiting human population | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/xM8szz4VB28/default.jpg URL=http://www.youtube.com/watch?v=xM8szz4VB28 description=Thinking about how we get Calories from the land limits human population densities. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/energy-inputs-for-tilling-a-hectare-of-land?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/thomas-malthus-and-population-growth?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Viewing g as the value of Earth's gravitational field near the surface | Khan Academy thumb=https://i.ytimg.com/vi/1E3Z_R5AHdg/default.jpg URL=http://www.youtube.com/watch?v=1E3Z_R5AHdg description=Viewing g as the value of Earth's gravitational field near the surface rather than the acceleration due to gravity near Earth's surface for an object in freefall. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/impact-velocity-from-given-height?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Collective learning | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/NqR_dtZu4Mo/default.jpg URL=http://www.youtube.com/watch?v=NqR_dtZu4Mo description=How symbolic language drives collective learning and how this is one of the truly differentiating aspects of human beings relative to the rest of the animal kingdom. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/thomas-malthus-and-population-growth?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/firestick-farming?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Loop de loop answer part 2 | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/zcnnZz2pCSg/default.jpg URL=http://www.youtube.com/watch?v=zcnnZz2pCSg description=Figuring out the car's average speed while completing the loop de loop. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-forces/v/centripetal-force-problem-solving?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/loop-de-loop-answer-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Loop de loop answer part 1 | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/4SQDybFjhRE/default.jpg URL=http://www.youtube.com/watch?v=4SQDybFjhRE description=Figuring out the minimum speed at the top of the loop de loop to stay on the track. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/loop-de-loop-answer-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/loop-de-loop-question?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Loop de loop question | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/wjZb3zPuoeA/default.jpg URL=http://www.youtube.com/watch?v=wjZb3zPuoeA description=Asks students to find the minimum speed necessary to complete the loop de loop. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/loop-de-loop-answer-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/calculus-proof-of-centripetal-acceleration-formula?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Space station speed in orbit | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/9BNkmfHYYYI/default.jpg URL=http://www.youtube.com/watch?v=9BNkmfHYYYI description=Speed necessary for the space station to stay in orbit. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/introduction-to-newton-s-law-of-gravitation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/acceleration-due-to-gravity-at-the-space-station?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acceleration due to gravity at the space station | Physics | Khan Academy thumb=https://i.ytimg.com/vi/R5CRZONOHCU/default.jpg URL=http://www.youtube.com/watch?v=R5CRZONOHCU description=What is the acceleration due to gravity at the space station. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/space-station-speed-in-orbit?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/would-a-brick-or-feather-fall-faster?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculus proof of centripetal acceleration formula | Physics | Khan Academy thumb=https://i.ytimg.com/vi/XjCEumlJBno/default.jpg URL=http://www.youtube.com/watch?v=XjCEumlJBno description=Proving that a = v^2/r. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/loop-de-loop-question?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/jrhildebrand-turning?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relationship between angular velocity and speed | Physics | Khan Academy thumb=https://i.ytimg.com/vi/zAx61CO5mDw/default.jpg URL=http://www.youtube.com/watch?v=zAx61CO5mDw description=How angular velocity relates to speed. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/rotational-kinematic-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/relating-angular-and-regular-motion-variables?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visual understanding of centripetal acceleration formula | Physics | Khan Academy thumb=https://i.ytimg.com/vi/NH1_sO8QY3o/default.jpg URL=http://www.youtube.com/watch?v=NH1_sO8QY3o description=Visual understanding of how centripetal acceleration relates to velocity and radius. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/jrhildebrand-turning?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/centripetal-force-and-acceleration-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Centripetal force and acceleration intuition | Physics | Khan Academy thumb=https://i.ytimg.com/vi/vZOk8NnjILg/default.jpg URL=http://www.youtube.com/watch?v=vZOk8NnjILg description=The direction of the force in cases of circular motion at constant speeds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/visual-understanding-of-centripetal-acceleration-formula?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/race-cars-with-constant-speed-around-curve?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative and positive exponents | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/JUGmviJC_pk/default.jpg URL=http://www.youtube.com/watch?v=JUGmviJC_pk description=Negative and Positive Exponents Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/evaluating-exponential-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/capstone-exponent-properties-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rational number word problem with decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/fFdOr8U4mnI/default.jpg URL=http://www.youtube.com/watch?v=fFdOr8U4mnI description=Your checking account is overdrawn. Not good. Use your knowledge of decimals and adding negative and positive numbers to bring your account back into the black. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-subtracting-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/negative-number-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GCF to Factor a Polynomial thumb=https://i.ytimg.com/vi/FvS7v6KM1ig/default.jpg URL=http://www.youtube.com/watch?v=FvS7v6KM1ig description=u12 l1 t1 we2 GCF to Factor a Polynomial/description type=video name=Difference of cubes factoring | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/CxcP4ylUP5w/default.jpg URL=http://www.youtube.com/watch?v=CxcP4ylUP5w description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/factoring-special-products-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/factoring-sum-of-cubes?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Substitution Method thumb=https://i.ytimg.com/vi/lRMV6I_TM4U/default.jpg URL=http://www.youtube.com/watch?v=lRMV6I_TM4U description=u14 l2 t1 we1 Substitution Method/description type=video name=Simplifying Multivariable Polynomial thumb=https://i.ytimg.com/vi/8jEaFV5PY2s/default.jpg URL=http://www.youtube.com/watch?v=8jEaFV5PY2s description=u11 l3 t2 we1 Simplifying Multivariable Polynomial/description type=video name=Solutions to three variable system 2 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/145zOBT0LD4/default.jpg URL=http://www.youtube.com/watch?v=145zOBT0LD4 description=Solutions to Three Variable System Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/three-equation-application-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/solutions-to-three-variable-system?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ordered pair solutions to equations | Graphing lines and slope | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/SSNA9gaAOVc/default.jpg URL=http://www.youtube.com/watch?v=SSNA9gaAOVc description=Ordered Pair Solutions of Equations. Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/e/plugging_in_values?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/v/determining-a-linear-equation-by-trying-out-values-from-a-table?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/v/ordered-pair-solutions-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perpendicular Line Slope thumb=https://i.ytimg.com/vi/ndPq7gbin7A/default.jpg URL=http://www.youtube.com/watch?v=ndPq7gbin7A description=u13 l2 t3 we1 Perpendicular Line Slope More free lessons at: http://www.khanacademy.org/video?v=ndPq7gbin7A/description type=video name=u14 l1 t1 we INT Consistent System of Independent Equations t2 thumb=https://i.ytimg.com/vi/dHVLkFQCsmY/default.jpg URL=http://www.youtube.com/watch?v=dHVLkFQCsmY type=video name=One-Step Equation Involving Fractions thumb=https://i.ytimg.com/vi/KGukNWo_j88/default.jpg URL=http://www.youtube.com/watch?v=KGukNWo_j88 description=u10_l1_t1_we_int One-Step Equation Involving Fractions/description type=video name=Independent and Dependent Systems thumb=https://i.ytimg.com/vi/czXPYCWUmvc/default.jpg URL=http://www.youtube.com/watch?v=czXPYCWUmvc description=u14_l1_t1_we4 Independent and Dependent Systems/description type=video name=More Involved Multi-Step Equation thumb=https://i.ytimg.com/vi/AmIeRC8qy5k/default.jpg URL=http://www.youtube.com/watch?v=AmIeRC8qy5k description=u10_l1_t2_we_int More Involved Multi-Step Equation/description type=video name=Multiplying three numbers in scientific notation (example) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/67jn5Zv-myg/default.jpg URL=http://www.youtube.com/watch?v=67jn5Zv-myg description=Multiplying really big or really small numbers is much easier when using scientific notation. This video gives an example of multiplying three numbers that are written in scientific notation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/e/multiplying_and_dividing_scientific_notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/scientific-notation-3-new?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/orders-of-magnitude-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hairier Slope of Line thumb=https://i.ytimg.com/vi/oUV_yL7FjYc/default.jpg URL=http://www.youtube.com/watch?v=oUV_yL7FjYc description=u13 l2 t1 we int Hairier Slope of Line Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Equation of a line from fractional slope and point | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/k8EfLFvUI5U/default.jpg URL=http://www.youtube.com/watch?v=k8EfLFvUI5U description=u13 l2 t2 we INT Equation of a Line hairier example. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/v/equation-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/v/equation-of-a-line-2?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Box-and-Whisker Plots thumb=https://i.ytimg.com/vi/-M0Fi0ijnJs/default.jpg URL=http://www.youtube.com/watch?v=-M0Fi0ijnJs description=u08_l3_t1_we1 Box-and-Whisker Plots More free lessons at: http://www.khanacademy.org/video?v=-M0Fi0ijnJs Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Probability of More Complex Outcome thumb=https://i.ytimg.com/vi/zlqvSLvhIXE/default.jpg URL=http://www.youtube.com/watch?v=zlqvSLvhIXE description=u08_l4_t1_we2 Probability of More Complex Outcome/description type=video name=Example: All the ways you can flip a coin | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/3UlE8gyKbkU/default.jpg URL=http://www.youtube.com/watch?v=3UlE8gyKbkU description=Manually going through the combinatorics to determine the probability of an event occuring Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/getting-exactly-two-heads-combinatorics?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/events-and-outcomes-3?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Misleading line graphs | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gs-OPF3KEGU/default.jpg URL=http://www.youtube.com/watch?v=gs-OPF3KEGU description=Misleading Line Graphs Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/multistep-word-problems-tut/v/multistep-word-problems-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-pie-graphs-circle-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding probability example | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/yUaI0JriZtY/default.jpg URL=http://www.youtube.com/watch?v=yUaI0JriZtY description=In order to find the probability of picking a yellow marble from a bag, we have to first determine the number of possible outcomes and how then many of them meet our constraints. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/e/probability_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/probability-1-module-examples?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/describing-subsets-of-sample-spaces-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measures of Center thumb=https://i.ytimg.com/vi/F6zcGSY15Vw/default.jpg URL=http://www.youtube.com/watch?v=F6zcGSY15Vw description=u08_l2_t1_we3 Measures of Center/description type=video name=Box and whisker plot | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/b2C9I8HuCe4/default.jpg URL=http://www.youtube.com/watch?v=b2C9I8HuCe4 description=Is this some kind of cute cat video? No! Box and whisker plots seek to explain data by showing a spread of all the data points in a sample. The "whiskers" are the two opposite ends of the data. This video is more fun than a handful of catnip. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/e/creating_box_and_whisker_plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/v/constructing-a-box-and-whisker-plot?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/statistics-sample-vs-population-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding mean, median, and mode | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/k3aKKasOmIw/default.jpg URL=http://www.youtube.com/watch?v=k3aKKasOmIw description=Here we give you a set of numbers and then ask you to find the mean, median, and mode. It's your first opportunity to practice with us! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/e/mean_median_and_mode?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/exploring-mean-and-median-module?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/central_tendency/v/statistics-intro-mean-median-and-mode?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the range and mid-range | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/7DtWXEPB_AI/default.jpg URL=http://www.youtube.com/watch?v=7DtWXEPB_AI description=The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number. Practice with this problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/e/analyzing-data-with-box-plots?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/range-variance-and-standard-deviation-as-measures-of-dispersion?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/v/constructing-a-box-and-whisker-plot?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stem-and-leaf plots | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/LEFE1km5ROY/default.jpg URL=http://www.youtube.com/watch?v=LEFE1km5ROY description=Stem-and-leaf Plots Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-stem-and-leaf-plots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/farenheit-celsius-conversion/v/comparing-celsius-and-farenheit-temperature-scales?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading line graphs | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/36v2EXZRzUE/default.jpg URL=http://www.youtube.com/watch?v=36v2EXZRzUE description=A line graph is another way to visually represent data, especially data that changes over time. They are extremely useful Let's take a look at this example. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-pie-graphs-circle-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-charts-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading pie graphs (circle graphs) | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4JqH55rLGKY/default.jpg URL=http://www.youtube.com/watch?v=4JqH55rLGKY description=Reading Pie Graphs (Circle Graphs) Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/misleading-line-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/u08-l1-t2-we2-reading-line-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading bar graphs | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/kiQ6MUQZHSs/default.jpg URL=http://www.youtube.com/watch?v=kiQ6MUQZHSs description=Reading Bar Graphs Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/histograms?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-pictographs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reading pictographs | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qrVvpYt3Vl0/default.jpg URL=http://www.youtube.com/watch?v=qrVvpYt3Vl0 description=Common sense tells you that a pictograph must be some kind of....picture. Yes! A pictograph is basically a way to represent data with pictures that relate to the data. Let's look at this word problem that asks to interpret a pictograph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/e/reading_pictographs_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-stem-and-leaf-plots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume of a Composite Shape thumb=https://i.ytimg.com/vi/Q9vYvyvDzI8/default.jpg URL=http://www.youtube.com/watch?v=Q9vYvyvDzI8 description=u07_l3_t1_we3 Volume of a Composite Shape/description type=video name=Acute Obtuse and Right Angles thumb=https://i.ytimg.com/vi/qdYx4qk2UHU/default.jpg URL=http://www.youtube.com/watch?v=qdYx4qk2UHU description=u07_l1_t1_we2 Acute Obtuse and Right Angles Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Volume of a sphere | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/IelS2vg7JO8/default.jpg URL=http://www.youtube.com/watch?v=IelS2vg7JO8 description=Volume of a Sphere Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/volume-word-problems-with-cones--cylinders--and-spheres?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/v/vertical-slice-of-rectangular-pyramid?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/volume-cone-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perimeter and area of a non-standard polygon | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/7S1MLJOG-5A/default.jpg URL=http://www.youtube.com/watch?v=7S1MLJOG-5A description=Perimeter and Area of a Non-Standard Polygon Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/e/area-of-quadrilaterals-and-polygons?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/nets-of-polyhedra?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/perimeter-of-a-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a Trapezoid thumb=https://i.ytimg.com/vi/qAs50nzzrP4/default.jpg URL=http://www.youtube.com/watch?v=qAs50nzzrP4 description=u07_l2_t2_we2 Area of a Trapezoid/description type=video name=Identifying rays | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/w9jEq6dmqPg/default.jpg URL=http://www.youtube.com/watch?v=w9jEq6dmqPg description=Identifying Rays Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/angle-basics?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/the-golden-ratio?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding Missing Angles thumb=https://i.ytimg.com/vi/z8BoVhTkaBw/default.jpg URL=http://www.youtube.com/watch?v=z8BoVhTkaBw description=u07_l1_t2_we3 Finding Missing Angles Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Perimeter of a parallelogram | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/5ZCKr4wTQvI/default.jpg URL=http://www.youtube.com/watch?v=5ZCKr4wTQvI description=Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/perimeter-and-area-of-a-non-standard-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/area-of-a-kite?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying Complementary and Supplementary Angles thumb=https://i.ytimg.com/vi/o-TWOYoxjUo/default.jpg URL=http://www.youtube.com/watch?v=o-TWOYoxjUo description=u07_l1_t2_we2 Identifying Complementary and Supplementary Angles Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Identifying parallel and perpendicular lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/aq_XL6FrmGs/default.jpg URL=http://www.youtube.com/watch?v=aq_XL6FrmGs description=Let's now apply what we learned and do an exercise together in which we identify parallel and perpendicular lines.This is great practice. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/congruent_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/figuring-out-angles-between-transversal-and-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/angles-formed-by-parallel-lines-and-transversals?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area and Perimeter of Composite Figures thumb=https://i.ytimg.com/vi/WlGuG_VZl5c/default.jpg URL=http://www.youtube.com/watch?v=WlGuG_VZl5c description=u07_l2_t3_we4 Area and Perimeter of Composite Figures/description type=video name=Interpreting linear graphs word problems example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xR9r38mZjK4/default.jpg URL=http://www.youtube.com/watch?v=xR9r38mZjK4 description=Interpreting Linear Graphs Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-linear-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-features-of-linear-functions-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-features-of-linear-functions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a Circle thumb=https://i.ytimg.com/vi/lDKjX5ouoic/default.jpg URL=http://www.youtube.com/watch?v=lDKjX5ouoic description=u07_l2_t3_we3 Area of a Circle/description type=video name=Identifying Geometric Solids thumb=https://i.ytimg.com/vi/Cn3QiGlklRI/default.jpg URL=http://www.youtube.com/watch?v=Cn3QiGlklRI description=u07_l3_t1_we1 Identifying Geometric Solids/description type=video name=Quadrilateral properties | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/5CeBlu260Rw/default.jpg URL=http://www.youtube.com/watch?v=5CeBlu260Rw description=How about this: we are given a 4-sided shape and asked to determine whether its properties qualify it to be called a quadrilateral (or category of quadrilaterals). Check it out. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/e/area_of_parallelograms?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/area-of-a-parallelogram?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/quadrilateral-overview?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Circumference of a Circle thumb=https://i.ytimg.com/vi/WgW_KwtBvro/default.jpg URL=http://www.youtube.com/watch?v=WgW_KwtBvro description=u07_l2_t3_we2 Circumference of a Circle/description type=video name=Labeling parts of a circle | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/04N79tItPEA/default.jpg URL=http://www.youtube.com/watch?v=04N79tItPEA description=Radius, diameter, center, and circumference--all are parts of a circle. Let's go through each and make sure we understand how they are defined. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/e/radius_diameter_and_circumference?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/v/area-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/v/circles-radius-diameter-and-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean Theorem Application thumb=https://i.ytimg.com/vi/l43fgfJ376c/default.jpg URL=http://www.youtube.com/watch?v=l43fgfJ376c description=u07_l1_t4_we2 Pythagorean Theorem Application/description type=video name=Using the Pythagorean Theorem thumb=https://i.ytimg.com/vi/UJHONfWW9T0/default.jpg URL=http://www.youtube.com/watch?v=UJHONfWW9T0 description=u07_l1_t4_we1 Using the Pythagorean Theorem/description type=video name=Application of Similar Triangles thumb=https://i.ytimg.com/vi/UgiRvl6iJzc/default.jpg URL=http://www.youtube.com/watch?v=UgiRvl6iJzc description=u07_l1_t3_we5 Application of Similar Triangles Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Similar Triangles Corresponding Sides and Angles thumb=https://i.ytimg.com/vi/ST2P6Sn3cuo/default.jpg URL=http://www.youtube.com/watch?v=ST2P6Sn3cuo description=u07_l1_t3_we3 Similar Triangles Corresponding Sides and Angles/description type=video name=Congruent and Similar Triangles thumb=https://i.ytimg.com/vi/0mKmYxuMirE/default.jpg URL=http://www.youtube.com/watch?v=0mKmYxuMirE description=u07_l1_t3_we2 Congruent and Similar Triangles Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Missing Measurements for Similar Triangles thumb=https://i.ytimg.com/vi/JfqLblHox3o/default.jpg URL=http://www.youtube.com/watch?v=JfqLblHox3o description=u07_l1_t3_we4 Missing Measurements for Similar Triangles/description type=video name=u07 l1 t3 we1 Classifying Triangles thumb=https://i.ytimg.com/vi/uMcEgALdvgk/default.jpg URL=http://www.youtube.com/watch?v=uMcEgALdvgk type=video name=Applying Logarithms 2 thumb=https://i.ytimg.com/vi/_WIfQbcY4x4/default.jpg URL=http://www.youtube.com/watch?v=_WIfQbcY4x4 description=u18_l4_t2_we2 Applying Logarithms 2/description type=video name=Applying Logarithms thumb=https://i.ytimg.com/vi/OKO41aLl8l8/default.jpg URL=http://www.youtube.com/watch?v=OKO41aLl8l8 description=u18_l4_t2_we1 Applying Logarithms/description type=video name=Solving logarithmic equations | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Kv2iHde7Xgw/default.jpg URL=http://www.youtube.com/watch?v=Kv2iHde7Xgw description=Solving Logarithmic Equations Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/introduction-to-interest?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/logarithmic-equations/v/solving-logarithmic-equations_dup_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving Exponential Equations thumb=https://i.ytimg.com/vi/zHJpqliPTpc/default.jpg URL=http://www.youtube.com/watch?v=zHJpqliPTpc description=u18_l4_t1_we1 Solving Exponential Equations/description type=video name=Calculator for Logarithms thumb=https://i.ytimg.com/vi/6ZGQkGZf6sw/default.jpg URL=http://www.youtube.com/watch?v=6ZGQkGZf6sw description=u18_l3_t1_we7 Calculator for Logarithms/description type=video name=Calculator for natural logarithms | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/r0eFSS8CN-Q/default.jpg URL=http://www.youtube.com/watch?v=r0eFSS8CN-Q description=Calculator for Natural Logarithms Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/natural_logarithm/v/graphing-natural-logarithm-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/natural_logarithm/v/natural-logarithm-with-a-calculator?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculator for Powers of 10 thumb=https://i.ytimg.com/vi/qRmlIfsbWQA/default.jpg URL=http://www.youtube.com/watch?v=qRmlIfsbWQA description=u18_l3_t1_we5 Calculator for Powers of 10/description type=video name=u18_l3_t1_we4 Calculator for Powers of e thumb=https://i.ytimg.com/vi/2TtPbVobfh4/default.jpg URL=http://www.youtube.com/watch?v=2TtPbVobfh4 description=u18_l3_t1_we4 Calculator for Powers of e/description type=video name=Change of base formula | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/OkFdDqW9xxM/default.jpg URL=http://www.youtube.com/watch?v=OkFdDqW9xxM description=Change of Base Formula Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/proof-log-a-log-b-log-ab?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/using-multiple-logarithm-properties-to-simplify?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing natural logarithm function | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/xmjy-0TxgI8/default.jpg URL=http://www.youtube.com/watch?v=xmjy-0TxgI8 description=Graphing Natural Logarithm Function Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithmic-scale-patterns/v/logarithmic-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/natural_logarithm/v/calculator-for-natural-logarithms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Natural logarithm with a calculator | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Dpo_-GrMpNE/default.jpg URL=http://www.youtube.com/watch?v=Dpo_-GrMpNE description=Natural Logarithm with a Calculator Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/natural_logarithm/v/calculator-for-natural-logarithms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/richter-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using multiple logarithm properties to simplify | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/RhzXX5PbsuQ/default.jpg URL=http://www.youtube.com/watch?v=RhzXX5PbsuQ description=Using Multiple Logarithm Properties to Simplify Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/e/logarithms_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/change-of-base-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/sum-of-logarithms-with-same-base?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Logarithm of a power | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Pb9V374iOas/default.jpg URL=http://www.youtube.com/watch?v=Pb9V374iOas description=Logarithm of a Power Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/sum-of-logarithms-with-same-base?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/introduction-to-logarithm-properties-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Difference of Logarithms with Same Base thumb=https://i.ytimg.com/vi/m9xVp6p7MTU/default.jpg URL=http://www.youtube.com/watch?v=m9xVp6p7MTU description=u18_l2_t2_we2 Difference of Logarithms with Same Base/description type=video name=Sum of logarithms with same base | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/pkGrXzakRFs/default.jpg URL=http://www.youtube.com/watch?v=pkGrXzakRFs description=Sum of Logarithms with Same Base Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/using-multiple-logarithm-properties-to-simplify?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/logarithm-of-a-power?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing logarithmic functions | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/DuYgVVU_BwY/default.jpg URL=http://www.youtube.com/watch?v=DuYgVVU_BwY description=Graphing Logarithmic Functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/matching-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/comparing-exponential-logarithmic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving logarithmic equations | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/oqAYqT70EBQ/default.jpg URL=http://www.youtube.com/watch?v=oqAYqT70EBQ description=Solving Logarithmic Equations Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/logarithmic-equations/v/solving-logarithmic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/vi-and-sal-explore-how-we-think-about-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Logarithmic Equations 2 thumb=https://i.ytimg.com/vi/vtStuLV-HvQ/default.jpg URL=http://www.youtube.com/watch?v=vtStuLV-HvQ description=u18_l2_t1_we2 Logarithmic Equations 2 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Logarithmic equations | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/fyshrv6YDVY/default.jpg URL=http://www.youtube.com/watch?v=fyshrv6YDVY description=Logarithmic Equations Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/solving-logarithmic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/change-of-base-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential Application thumb=https://i.ytimg.com/vi/Ofnvrti6gh4/default.jpg URL=http://www.youtube.com/watch?v=Ofnvrti6gh4 description=u18_l1_t1_we2 Exponential Application/description type=video name=Graphing exponential functions | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/9SOSfRNCQZQ/default.jpg URL=http://www.youtube.com/watch?v=9SOSfRNCQZQ description=Graphing Exponential Functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/linear-exponential-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/exponential-growth-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quotient of functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/u9v_bakOIcU/default.jpg URL=http://www.youtube.com/watch?v=u9v_bakOIcU description=Quotient of functions and factoring by grouping Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/e/functions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/modeling-with-combined-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/product-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Product of functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/JKvmAexeMgY/default.jpg URL=http://www.youtube.com/watch?v=JKvmAexeMgY description=Product of Functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/e/functions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/quotient-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/difference-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/n34dqyVCXs4/default.jpg URL=http://www.youtube.com/watch?v=n34dqyVCXs4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/e/functions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/difference-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/understanding-function-notation-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain of a radical function | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/4h54s7BBPpA/default.jpg URL=http://www.youtube.com/watch?v=4h54s7BBPpA description=Domain of a Radical Function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_of_a_function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain and range of a function given a formula | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/za0QJRZ-yQ4/default.jpg URL=http://www.youtube.com/watch?v=za0QJRZ-yQ4 description=Domain and Range of a Function Given a Formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_of_a_function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-of-a-relation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing Radical Functions thumb=https://i.ytimg.com/vi/Mi6OJ4TAufY/default.jpg URL=http://www.youtube.com/watch?v=Mi6OJ4TAufY description=u17_l2_t2_we3 Graphing Radical Functions More free lessons at: http://www.khanacademy.org/video?v=Mi6OJ4TAufY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Graphing a Quadratic Function thumb=https://i.ytimg.com/vi/3a7UbMJpeIM/default.jpg URL=http://www.youtube.com/watch?v=3a7UbMJpeIM description=u17_l2_t2_we2 Graphing a Quadratic Function/description type=video name=Graphing a Basic Function thumb=https://i.ytimg.com/vi/2-dUHLHeyTY/default.jpg URL=http://www.youtube.com/watch?v=2-dUHLHeyTY description=u17_l2_t2_we1 Graphing a Basic Function More free lessons at: http://www.khanacademy.org/video?v=2-dUHLHeyTY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Evaluating Functions thumb=https://i.ytimg.com/vi/E9YEUQR9NAU/default.jpg URL=http://www.youtube.com/watch?v=E9YEUQR9NAU description=u17_l2_t1_we1 Evaluating Functions More free lessons at: http://www.khanacademy.org/video?v=E9YEUQR9NAU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Relations and functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Uz0MtFlLD-k/default.jpg URL=http://www.youtube.com/watch?v=Uz0MtFlLD-k description=Relations and Functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/linear-function-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/difference-between-equations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphical relations and functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/qGmJ4F3b5W8/default.jpg URL=http://www.youtube.com/watch?v=qGmJ4F3b5W8 description=Graphical Relations and Functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/functions-as-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/testing-if-a-relationship-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain and range of a relation | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/g3LrOw1JMi8/default.jpg URL=http://www.youtube.com/watch?v=g3LrOw1JMi8 description=Domain and Range of a Relation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_and_range_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-of-a-function-given-a-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a regular hexagon | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/LrxZMdQ6tiw/default.jpg URL=http://www.youtube.com/watch?v=LrxZMdQ6tiw description=Using what we know about triangles to find the area of a regular hexagon Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/45-45-90-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/30-60-90-triangle-example-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Problem involving angle derived from square and circle | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/3n0LvI99-KM/default.jpg URL=http://www.youtube.com/watch?v=3n0LvI99-KM description=Challenging problem to find an angle Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruent_triangles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/congruent-legs-and-base-angles-of-isosceles-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/figuring-out-all-the-angles-for-congruent-triangles-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taxonomy and the Tree of Life thumb=https://i.ytimg.com/vi/oHvLlS_Sc54/default.jpg URL=http://www.youtube.com/watch?v=oHvLlS_Sc54 description=The science of taxonomy and where humans fit into the tree of life More free lessons at: http://www.khanacademy.org/video?v=oHvLlS_Sc54/description type=video name=Species thumb=https://i.ytimg.com/vi/Tmt4zrDK3dA/default.jpg URL=http://www.youtube.com/watch?v=Tmt4zrDK3dA description=What a species is and isn't. Ligers, tiglons, mule, hinnies, and dogs More free lessons at: http://www.khanacademy.org/video?v=Tmt4zrDK3dA/description type=video name=Converting repeating decimals to fractions 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Ihws0d-WLzU/default.jpg URL=http://www.youtube.com/watch?v=Ihws0d-WLzU description=Converting more interesting repeating decimals to fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/e/converting_repeating_decimals_to_fractions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-1-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/v/coverting-repeating-decimals-to-fractions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of a parallelogram | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/tFhBAeZVTMw/default.jpg URL=http://www.youtube.com/watch?v=tFhBAeZVTMw description=Guess what's interesting about the opposite sides of a parallelogram? That's right....they are parallel! Let's find the area--base times height Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/e/area_of_parallelograms?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/area-of-a-trapezoid-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/quadrilateral-properties?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting repeating decimals to fractions 1 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/FPNhCVZlbJs/default.jpg URL=http://www.youtube.com/watch?v=FPNhCVZlbJs description=Examples of how to convert basic repeating decimals to fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/e/converting_repeating_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/conv_rep_decimals/v/coverting-repeating-decimals-to-fractions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/manipulating-formula-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Rhombus area half product of diagonal length | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/3FManXv4mZM/default.jpg URL=http://www.youtube.com/watch?v=3FManXv4mZM description=Showing that we can find the area of a rhombus by taking half the product of the lengths of the diagonals Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/area-of-a-parallelogram?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-rhombus-diagonals-are-perpendicular-bisectors?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Rhombus diagonals are perpendicular bisectors | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/GDcVdBAnBdU/default.jpg URL=http://www.youtube.com/watch?v=GDcVdBAnBdU description=Proving that the diagonals of a rhombus are perpendicular Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-rhombus-area-half-product-of-diagonal-length?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-angles-of-parallelogram-congruent?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Medicare overview | Health care system | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/VpLKdKkpg68/default.jpg URL=http://www.youtube.com/watch?v=VpLKdKkpg68 description=Sal talks with Professor Laurence Baker of Stanford Medical School. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/heart-disease-and-heart-attacks?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/paying-doctors?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Opposite angles of parallelogram congruent | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/oIV1zM8qlpk/default.jpg URL=http://www.youtube.com/watch?v=oIV1zM8qlpk description=Showing that opposite angles of a parallelogram are congruent Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-rhombus-diagonals-are-perpendicular-bisectors?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-diagonals-of-a-parallelogram-bisect-each-other?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Diagonals of a parallelogram bisect each other | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/TErJ-Yr67BI/default.jpg URL=http://www.youtube.com/watch?v=TErJ-Yr67BI description=Proving that a quadrilateral is a parallelogram if and only if its diagonals bisect each other Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-angles-of-parallelogram-congruent?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-opposite-sides-of-parallelogram-congruent?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Opposite sides of parallelogram congruent | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/LhrGS4-Dd9I/default.jpg URL=http://www.youtube.com/watch?v=LhrGS4-Dd9I description=Proving that a figure is a parallelogram if and only if opposite sides are congruent Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/proof-diagonals-of-a-parallelogram-bisect-each-other?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/quadrilateral-types-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadrilateral overview | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Ka82QC4QvGA/default.jpg URL=http://www.youtube.com/watch?v=Ka82QC4QvGA description="Quad" means "four" and "lateral" means "line." A quadrilateral is literally a shape with four sides (lines) and four angles. Let's learn the difference between concave and convex quadrilaterals as well as trapezoids, parallelograms, and rhombi. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/e/area_of_parallelograms?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/area_non_standard/v/quadrilateral-properties?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/v/area-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Common orthocenter and centroid | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/pDZIvyeqX1o/default.jpg URL=http://www.youtube.com/watch?v=pDZIvyeqX1o description=Showing that a triangle with the same point as the orthocenter and centroid is equilateral Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/triangle_property_review/v/review-of-triangle-properties?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/altitudes/v/proof-triangle-altitudes-are-concurrent-orthocenter?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Euler's line proof | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/t_EgAi574sM/default.jpg URL=http://www.youtube.com/watch?v=t_EgAi574sM description=Proving the somewhat mystical result that the circumcenter, centroid and orthocenter Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/quadrilateral-overview?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/triangle_property_review/v/euler-line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chronometric revolution | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/5mNTvtjDnP8/default.jpg URL=http://www.youtube.com/watch?v=5mNTvtjDnP8 description=Discussion of the relatively recent changes in our ability as a species to shine light on our deep past. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/carbon-14-dating-1?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/random-predictions-for-2060?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=K-Ar dating calculation | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/iLFcSfzrlMk/default.jpg URL=http://www.youtube.com/watch?v=iLFcSfzrlMk description=Working through a calculation for K-Ar dating (good to have some prior experience with e and logarithms). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-1?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/potassium-argon-k-ar-dating?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Potassium-argon (K-Ar) dating | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/NMZ5kJEviD0/default.jpg URL=http://www.youtube.com/watch?v=NMZ5kJEviD0 description=How K-Ar dating can be used to date very old volcanic rock and the things that might be buried in between. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/k-ar-dating-calculation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/carbon-14-dating-2?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Financial Times October 2011 thumb=https://i.ytimg.com/vi/1Hoo7MASKq0/default.jpg URL=http://www.youtube.com/watch?v=1Hoo7MASKq0 description=Sal answers questions for the Financial Times/description type=video name=Euler line | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/tUqyJgmGY7k/default.jpg URL=http://www.youtube.com/watch?v=tUqyJgmGY7k description=The magic and mystery of the Euler Line Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/triangle_property_review/v/euler-s-line-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/triangle_property_review/v/review-of-triangle-properties?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Review of triangle properties | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/KUhdMbx5ges/default.jpg URL=http://www.youtube.com/watch?v=KUhdMbx5ges description=Comparing perpendicular bisectors to angle bisectors to medians to altitudes Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/triangle_property_review/v/euler-line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/altitudes/v/common-orthocenter-and-centroid?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative intuition module | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/HtvikVD9aa0/default.jpg URL=http://www.youtube.com/watch?v=HtvikVD9aa0 description=Sal walking through the derivative intuition module made by Ben Eater Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/e/derivative_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/interpreting-slope-of-a-curve-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Triangle altitudes are concurrent (orthocenter) | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/aGwT2-RERXY/default.jpg URL=http://www.youtube.com/watch?v=aGwT2-RERXY description=Showing that any triangle can be the medial triangle for some larger triangle. Using this to show that the altitudes of a triangle are concurrent (at the orthocenter). Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/altitudes/v/common-orthocenter-and-centroid?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/median-centroid-right-triangle-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Median centroid right triangle example | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/k45QTFCHSVs/default.jpg URL=http://www.youtube.com/watch?v=k45QTFCHSVs description=Example involving properties of medians Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/altitudes/v/proof-triangle-altitudes-are-concurrent-orthocenter?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/proving-that-the-centroid-is-2-3rds-along-the-median?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proving that the centroid is 2-3rds along the median | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/i0VS3eEGjiQ/default.jpg URL=http://www.youtube.com/watch?v=i0VS3eEGjiQ description=Showing that the centroid divides each median into segments with a 2:1 ratio (or that the centroid is 2/3 along the median) Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/median-centroid-right-triangle-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/exploring-medial-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exploring medial triangles | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Rsi5mzEaCPw/default.jpg URL=http://www.youtube.com/watch?v=Rsi5mzEaCPw description=The three midsegments (segments joining the midpoints of the sides) of a triangle form a medial triangle. Find out the properties of the midsegments, the medial triangle and the other 3 triangles formed in this way. View more lessons or practice this subject at https://www.khanacademy.org/math/geometry/hs-geo-similarity/hs-geo-proving-relationships-using-similarity . Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=At Words 1 thumb=https://i.ytimg.com/vi/pQcnLGBi7WE/default.jpg URL=http://www.youtube.com/watch?v=pQcnLGBi7WE description=Experimenting with basic reading videos (especially because my son is just learning to read!)/description type=video name=Medians divide into smaller triangles of equal area | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Xt4sT0fV9Pw/default.jpg URL=http://www.youtube.com/watch?v=Xt4sT0fV9Pw description=Showing that the three medians of a triangle divide it into six smaller triangles of equal area. Brief discussion of the centroid as well Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/exploring-medial-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/triangle-medians-and-centroids-2d-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle bisector theorem examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/PlY3e_-9JUA/default.jpg URL=http://www.youtube.com/watch?v=PlY3e_-9JUA description=Using the angle bisector theorem to solve for sides of a triangle Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/e/angle_bisector_theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/triangle-medians-and-centroids?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/angle-bisector-theorem-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inradius, perimeter, and area | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/5NjgcPri07E/default.jpg URL=http://www.youtube.com/watch?v=5NjgcPri07E description=Showing that area is equal to inradius times semiperimeter Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/angle-bisector-theorem-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/incenter-and-incircles-of-a-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle bisector theorem proof | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/TpIBLnRAslI/default.jpg URL=http://www.youtube.com/watch?v=TpIBLnRAslI description=What the angle bisector theorem is and its proof Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/angle-bisector-theorem-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/inradius-perimeter-and-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Incenter and incircles of a triangle | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/21vbBiCVijE/default.jpg URL=http://www.youtube.com/watch?v=21vbBiCVijE description=Using angle bisectors to find the incenter and incircle of a triangle Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/inradius-perimeter-and-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/point-line-distance-and-angle-bisectors?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Point-line distance and angle bisectors | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/yj4oS-27Q3k/default.jpg URL=http://www.youtube.com/watch?v=yj4oS-27Q3k description=Thinking about the distance between a point and a line. Proof that a point on an angle bisector is equidistant to the sides of the angle and a point equidistant to the sides is on an angle bisector Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/incenter-and-incircles-of-a-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/2003-aime-ii-problem-7?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Three points defining a circle | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/4_xhiP6g2ow/default.jpg URL=http://www.youtube.com/watch?v=4_xhiP6g2ow description=Three points uniquely define a circle. The center of a circle is the circumcenter of any triangle the circle is circumscribed about. Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/area-circumradius-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/circumcenter-of-a-right-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Circumcenter of a right triangle | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/VejCw2NlE60/default.jpg URL=http://www.youtube.com/watch?v=VejCw2NlE60 description=Showing that the midpoint of the hypotenuse is the circumcenter Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/three-points-defining-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/circumcenter-of-a-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Circumcenter of a triangle | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/KXZ6w91DioU/default.jpg URL=http://www.youtube.com/watch?v=KXZ6w91DioU description=Multiple proofs showing that a point is on a perpendicular bisector of a segment if and only if it is equidistant from the endpoints. Using this to establish the circumcenter, circumradius, and circumcircle for a triangle Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/circumcenter-of-a-right-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/area-inscribed-triangle/v/area-of-inscribed-equilateral-triangle-some-basic-trig-used?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perpendicular radius bisects chord | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/q7eF5Ci944U/default.jpg URL=http://www.youtube.com/watch?v=q7eF5Ci944U description=Simple proof using RSH postulate to show that a radius perpendicular to a chord bisects it Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/congruent-triangle-proof-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/more-on-why-ssa-is-not-a-postulate?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of Koch snowflake (part 2) - advanced | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/vBlR2xNAGmo/default.jpg URL=http://www.youtube.com/watch?v=vBlR2xNAGmo description=Summing an infinite geometric series to finally find the finite area of a Koch Snowflake Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/heron_formula_tutorial/v/heron-s-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-koch-snowflake-part-1-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of Koch snowflake (part 1) - advanced | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/64bH_27Ehoc/default.jpg URL=http://www.youtube.com/watch?v=64bH_27Ehoc description=Starting to figure out the area of a Koch Snowflake (which has an infinite perimeter) Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-koch-snowflake-part-2-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of an equilateral triangle | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/UKQ65tiIQ6o/default.jpg URL=http://www.youtube.com/watch?v=UKQ65tiIQ6o description=Finding the formula for the area of an equilateral triangle with side s Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-shaded-region-made-from-equilateral-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-diagonal-generated-triangles-of-rectangle-are-equal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=30-60-90 triangle example problem | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/dgHksfBFbjk/default.jpg URL=http://www.youtube.com/watch?v=dgHksfBFbjk description=Using what we know about 30-60-90 triangles to solve what at first seems to be a challenging problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/e/pythagorean_theorem_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/area-of-a-regular-hexagon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/45-45-90-triangle-side-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The golden ratio | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/5zosU6XTgSY/default.jpg URL=http://www.youtube.com/watch?v=5zosU6XTgSY description=An introduction to one of the most amazing ideas/numbers in mathematics Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/angle-basics?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/language-and-notation-of-the-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=45-45-90 triangle side ratios | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/McINBOFCGH8/default.jpg URL=http://www.youtube.com/watch?v=McINBOFCGH8 description=Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2) Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/30-60-90-triangle-example-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/30-60-90-triangle-side-ratios-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=30-60-90 triangle side ratios proof | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/SFL4stapeUs/default.jpg URL=http://www.youtube.com/watch?v=SFL4stapeUs description=Proving the ratios between the sides of a 30-60-90 triangle Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/45-45-90-triangle-side-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/another-pythagorean-theorem-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples using Pythagorean Theorem thumb=https://i.ytimg.com/vi/m5Gojo9hkCg/default.jpg URL=http://www.youtube.com/watch?v=m5Gojo9hkCg type=video name=Pythagorean theorem proof using similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/LrS5_l-gk94/default.jpg URL=http://www.youtube.com/watch?v=LrS5_l-gk94 description=Proof of the Pythagorean Theorem using similarity Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/e/pythagorean-theorem-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/another-pythagorean-theorem-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/bhaskara-s-proof-of-pythagorean-theorem-avi?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding area using similarity and congruence | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/EqNzr56h1Ic/default.jpg URL=http://www.youtube.com/watch?v=EqNzr56h1Ic description=Example of using similarity and congruence to find the area of a triangle Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/e/solving-problems-with-similar-and-congruent-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/goldren-ratio-and-rembrandt-s-self-portrait?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-example-where-same-side-plays-different-roles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Similar triangle example problems | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Ly86lwq_2gc/default.jpg URL=http://www.youtube.com/watch?v=Ly86lwq_2gc description=Multiple examples looking for similarity of triangles Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/e/similar_triangles_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-postulates?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Health care costs in US vs Europe | Health care system | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/6YU9HVS2GT0/default.jpg URL=http://www.youtube.com/watch?v=6YU9HVS2GT0 description=A discussion about US health care costs. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/healthcare-system-overview?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/conversation-about-drug-pricing?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conversation about drug pricing | Health care system | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/8t-Un7yH99g/default.jpg URL=http://www.youtube.com/watch?v=8t-Un7yH99g description=Dr. Laurence Baker talks to Sal about how drug prices are set. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/health-care-costs-in-us-vs-europe?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/blue-cross-and-blue-shield?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Blue Cross and Blue Shield | Health care system | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/S9xdJgPWO-w/default.jpg URL=http://www.youtube.com/watch?v=S9xdJgPWO-w description=Sal and Dr. Baker talk a bit about Blue Cross and Blue Shield. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/conversation-about-drug-pricing?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/current-issues-in-health-and-medicine/ebola-outbreak/v/r-nought-and-vaccine-coverage?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflammation | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/GZ6I3T1RAnQ/default.jpg URL=http://www.youtube.com/watch?v=GZ6I3T1RAnQ description=Dr. David Agus discusses thinking systemically about cancer and other things. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/inflammation?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/ritual-of-the-bedside-exam?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vitamin C and the Limeys thumb=https://i.ytimg.com/vi/Mp9II8MmuoA/default.jpg URL=http://www.youtube.com/watch?v=Mp9II8MmuoA description=Sal and Dr. David Agus talk about the history of Scurvy and Vitamin C/description type=video name=Systemic thinking about cancer | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/7zk0ubr_lzo/default.jpg URL=http://www.youtube.com/watch?v=7zk0ubr_lzo description=Dr. David Agus discusses thinking systemically about cancer and other things. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/inflammation?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/ritual-of-the-bedside-exam?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Similarity example where same side plays different roles | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Tal_fgREll0/default.jpg URL=http://www.youtube.com/watch?v=Tal_fgREll0 description=The same side not corresponding to itself in two similar triangles Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/e/solving_similar_triangles_2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/finding-area-using-similarity-and-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Challenging similarity problem | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/7aGEvpHaNJ8/default.jpg URL=http://www.youtube.com/watch?v=7aGEvpHaNJ8 description=Interesting similarity problem where we don't have a lot of information to work with Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/e/solving-problems-with-similar-and-congruent-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/old_school_similarity/v/similar-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/golden-ratio-to-find-radius-of-moon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tom Brokaw interviews Sal at Education Nation 2011 thumb=https://i.ytimg.com/vi/YtIHBa54ce0/default.jpg URL=http://www.youtube.com/watch?v=YtIHBa54ce0 description=Rough footage of Tom Brokaw interviewing Sal at Education Nation/description type=video name=Similarity example problems | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/R-6CAr_zEEk/default.jpg URL=http://www.youtube.com/watch?v=R-6CAr_zEEk description=Two example problems involving similarity Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/e/solving_similar_triangles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-example-where-same-side-plays-different-roles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similar-triangle-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Similarity postulates | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/7bO0TmJ6Ba4/default.jpg URL=http://www.youtube.com/watch?v=7bO0TmJ6Ba4 description=Thinking about what we need to know to determine whether two triangles are similar Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/e/similar_triangles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similar-triangle-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similar-triangle-basics?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal during Education Week (Sep 2011) 1 thumb=https://i.ytimg.com/vi/pw9fPU4YqUA/default.jpg URL=http://www.youtube.com/watch?v=pw9fPU4YqUA description=Sal on CNBC during Education Nation (Sep 2011)/description type=video name=Khan Academy on 20 20 (Sep 2011) thumb=https://i.ytimg.com/vi/da-9vUVr9tA/default.jpg URL=http://www.youtube.com/watch?v=da-9vUVr9tA description=Snippet from Khan Academy's appearance on 20 20 story about YouTube/description type=video name=KA on John Stossel Documentary thumb=https://i.ytimg.com/vi/_4qoTgnx1oQ/default.jpg URL=http://www.youtube.com/watch?v=_4qoTgnx1oQ description=Khan Academy on Jon Stossel Documentary in September 2011/description type=video name=Similar triangle basics | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/9ThXDY9Y3oU/default.jpg URL=http://www.youtube.com/watch?v=9ThXDY9Y3oU description=Introduction to what it means for triangles to be similar Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/e/similar_triangles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/triangle_similarlity/v/similarity-postulates?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/similarity-and-transformations/v/quadrilateral-similarity-by-showing-congruent-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Challenging perimeter problem | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/1uWZNW5PF-s/default.jpg URL=http://www.youtube.com/watch?v=1uWZNW5PF-s description=Perimeter of rectangle covered by 9 non-overlapping squares. From 2000 American Invitational Math Exam Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/v/triangle-inqequality-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-shaded-region-made-from-equilateral-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Koch snowflake fractal | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/azBNsPa1WC4/default.jpg URL=http://www.youtube.com/watch?v=azBNsPa1WC4 description=A shape that has an infinite perimeter but finite area Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/triangle_inequality_theorem/v/triangle-inqequality-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interesting perimeter and area problems | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/vWXMDIazHjA/default.jpg URL=http://www.youtube.com/watch?v=vWXMDIazHjA description=Three example problems involving perimeter and area Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-diagonal-generated-triangles-of-rectangle-are-equal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/triangle-area-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle area proofs | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/YOYQys52sPs/default.jpg URL=http://www.youtube.com/watch?v=YOYQys52sPs description=Proving that the area of any triangle is 1/2 b x h Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/e/area_of_triangles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/interesting-perimeter-and-area-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/perimeter-and-area-basics?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perimeter and area: the basics | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/LoaBd-sPzkU/default.jpg URL=http://www.youtube.com/watch?v=LoaBd-sPzkU description=Great geometry primer on perimeter and area. Listen carefully. Sal explains the concepts so you'll understand them. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/e/area_of_triangles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/triangle-area-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/cc-geometry-trig-similarity/v/example-relating-trig-function-to-side-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Figuring out all the angles for congruent triangles example | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/aDCXPdzyS0s/default.jpg URL=http://www.youtube.com/watch?v=aDCXPdzyS0s description=Another example of using congruency to figure out a bunch of angles Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/problem-involving-angle-derived-from-square-and-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/congruent-triangle-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example involving an isosceles triangle and parallel lines | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/CVKAro3HUxQ/default.jpg URL=http://www.youtube.com/watch?v=CVKAro3HUxQ description=Integrating what we know about isosceles triangles and parallel lines Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/similarity-and-transformations/v/testing-similarity-through-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/another-isosceles-example-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another isosceles example problem | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ceDV0QBpcMA/default.jpg URL=http://www.youtube.com/watch?v=ceDV0QBpcMA description=Possible angles for an isosceles triangle Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/example-involving-an-isosceles-triangle-and-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/equilateral-and-isosceles-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equilateral and isosceles example problems | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/7FTNWE7RTfQ/default.jpg URL=http://www.youtube.com/watch?v=7FTNWE7RTfQ description=Three example problems involving isosceles and equilateral triangles. 2 from Art of Problem Solving (by Richard Rusczyk) book Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/another-isosceles-example-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/equilateral-triangle-sides-and-angles-congruent?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equilateral triangle sides and angles congruent | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/CYNUwiUzlPk/default.jpg URL=http://www.youtube.com/watch?v=CYNUwiUzlPk description=Showing that all of the angles of an equilateral triangle are 60 degrees Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/equilateral-and-isosceles-example-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/congruent-legs-and-base-angles-of-isosceles-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Congruent legs and base angles of isosceles triangles | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/7UISwx2Mr4c/default.jpg URL=http://www.youtube.com/watch?v=7UISwx2Mr4c description=Showing that congruent legs imply equal base angles and vice versa Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/e/recognizing-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/isoscleles_equil/v/equilateral-triangle-sides-and-angles-congruent?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/problem-involving-angle-derived-from-square-and-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Congruent triangle example 2 | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Xc3oHzKXVh8/default.jpg URL=http://www.youtube.com/watch?v=Xc3oHzKXVh8 description=Showing that segments have the same length Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/figuring-out-all-the-angles-for-congruent-triangles-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/congruent-triangle-proof-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Congruent triangle proof example | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/RFesGHsuFZw/default.jpg URL=http://www.youtube.com/watch?v=RFesGHsuFZw description=Proving that a point is the midpoint via triangle congruency Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/congruent-triangle-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/perpendicular-radius-bisects-chord?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on why SSA is not a postulate | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/f8svAm237xM/default.jpg URL=http://www.youtube.com/watch?v=f8svAm237xM description=SSA special cases including RSH Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/perpendicular-radius-bisects-chord?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/finding-congruent-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding congruent triangles | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/d5UCZ9hO8X4/default.jpg URL=http://www.youtube.com/watch?v=d5UCZ9hO8X4 description=Using the SSS, ASA, SAS, and AAS postulates to find congruent triangles Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/e/congruency_postulates?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/more-on-why-ssa-is-not-a-postulate?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/two-column-proof-showing-segments-are-perpendicular?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of the exterior angles of convex polygon | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/W9B3VYdC5T8/default.jpg URL=http://www.youtube.com/watch?v=W9B3VYdC5T8 description=More elegant way to find the sum of the exterior angles of a convex polygon Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/introduction-to-angles-old?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-interior-angles-of-a-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of interior angles of a polygon | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/qG3HnRccrQU/default.jpg URL=http://www.youtube.com/watch?v=qG3HnRccrQU description=Showing a generalized way to find the sum of the interior angles of any polygon Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/e/angles_of_a_polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-the-exterior-angles-of-convex-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/finding-more-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Two column proof showing segments are perpendicular | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/fSu1LKnhM5Q/default.jpg URL=http://www.youtube.com/watch?v=fSu1LKnhM5Q description=Using triangle congruency postulates to show that two intersecting segments are perpendicular Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/finding-congruent-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/other-triangle-congruence-postulates?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Other triangle congruence postulates | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/8Ld8Csu4sEs/default.jpg URL=http://www.youtube.com/watch?v=8Ld8Csu4sEs description=SSS, SAS, ASA and AAS postulates for congruent triangles. Showing AAA is only good for similarity and SSA is good for neither Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/two-column-proof-showing-segments-are-perpendicular?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/sss-to-show-a-radius-is-perpendicular-to-a-chord-that-it-bisects?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=SSS to show a radius is perpendicular to a chord that it bisects | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/TgDk06Qayxw/default.jpg URL=http://www.youtube.com/watch?v=TgDk06Qayxw description=More on the difference between a theorem and axiom. Proving a cool result using SSS Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/other-triangle-congruence-postulates?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/congruent-triangles-and-sss?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Congruent triangles and SSS | Congruence | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/CJrVOf_3dN0/default.jpg URL=http://www.youtube.com/watch?v=CJrVOf_3dN0 description=What it means for triangles to be congruent Watch the next lesson: https://www.khanacademy.org/math/geometry/congruent-triangles/cong_triangle/v/sss-to-show-a-radius-is-perpendicular-to-a-chord-that-it-bisects?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/congruent-triangles/transformations-congruence/v/another-example-of-rigid-transformations-for-congruence?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of Interior Angles of Any Polygon thumb=https://i.ytimg.com/vi/ilsS0IDaQ5A/default.jpg URL=http://www.youtube.com/watch?v=ilsS0IDaQ5A description=Showing a generalized way to find the sum of the interior angles of any polygon/description type=video name=Challenging triangle angle problem | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/95logvV8nXY/default.jpg URL=http://www.youtube.com/watch?v=95logvV8nXY description=Interesting problem finding the sums of particular exterior angles of an irregular pentagon Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/proof-corresponding-angle-equivalence-implies-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/triangle-angle-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle angle example 3 | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/iqeGTtyzQ1I/default.jpg URL=http://www.youtube.com/watch?v=iqeGTtyzQ1I description=Multiple ways to solve for the angles of multiple triangles Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/challenging-triangle-angle-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/triangle-angle-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding more angles | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/0gzSreH8nUI/default.jpg URL=http://www.youtube.com/watch?v=0gzSreH8nUI description=Example of angle hunting! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/e/angles_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-interior-angles-of-a-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/proof-corresponding-angle-equivalence-implies-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Corresponding angle equivalence implies parallel lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/9_3OxtdqmqE/default.jpg URL=http://www.youtube.com/watch?v=9_3OxtdqmqE description=Proof by contradiction that corresponding angle equivalence implies parallel lines Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/finding-more-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/challenging-triangle-angle-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle angle example 2 | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/eTwnt4G5xE4/default.jpg URL=http://www.youtube.com/watch?v=eTwnt4G5xE4 description=Another example finding angles in triangles Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/triangle-angle-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/triangle-angle-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle angle example 1 | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/hmj3_zbz2eg/default.jpg URL=http://www.youtube.com/watch?v=hmj3_zbz2eg description=Figuring out angles in a triangle. A little about exterior angles being the sum of the remote interior angles Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/triangle-angle-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof - Sum of Measures of Angles in a Triangle are 180 thumb=https://i.ytimg.com/vi/OPG-9IFnJnI/default.jpg URL=http://www.youtube.com/watch?v=OPG-9IFnJnI description=Proof that the sum of the measures of the angles in a triangle are 180/description type=video name=Angles formed by parallel lines and transversals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/H-E5rlpCVu4/default.jpg URL=http://www.youtube.com/watch?v=H-E5rlpCVu4 description=Parallel lines, transversal lines, corresponding angles Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/congruent_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/identifying-parallel-and-perpendicular-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/proof-vertical-angles-are-equal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Vertical angles are equal | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/wRBMmiNHQaE/default.jpg URL=http://www.youtube.com/watch?v=wRBMmiNHQaE description=Proving that vertical angles are equal Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/congruent_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/angles-formed-by-parallel-lines-and-transversals?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/using-algebra-to-find-the-measures-of-vertical-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to vertical angles | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/_7aUxFzTG5w/default.jpg URL=http://www.youtube.com/watch?v=_7aUxFzTG5w description=By using our knowledge of supplementary, adjacent, and vertical angles, we can solve problems involving the intersection of two lines, including this one! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/e/vertical_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/using-algebra-to-find-the-measures-of-vertical-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/angle-measurement-and-circle-arcs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complementary and supplementary angles | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/BTnAlNSgNsY/default.jpg URL=http://www.youtube.com/watch?v=BTnAlNSgNsY description=Let's add some tools to our geometry tool belt. Here's a thorough explanation of complementary and supplementary angles, as well as definitions of adjacent and straight angles. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/e/complementary_and_supplementary_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/complementary-supplementary-angl/v/example-using-algebra-to-find-measure-of-complementary-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/acute-right-and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring angles in degrees | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/92aLiyeQj0w/default.jpg URL=http://www.youtube.com/watch?v=92aLiyeQj0w description=Let's come up with an exact way to measure an angle using a protractor. We'll also learn about acute angles. Not to be confused with augly angles :) Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/using-a-protractor?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/angle-basics?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Measuring angles using a protractor | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/dw41PMWek6U/default.jpg URL=http://www.youtube.com/watch?v=dw41PMWek6U description=Let's use our virtual protractor to measure some angles together, shall we? Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/measuring-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/measuring-angles-in-degrees?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle basics | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/H-de6Tkxej8/default.jpg URL=http://www.youtube.com/watch?v=H-de6Tkxej8 description=The naming of an angle is related to the line segments that create it. We'll also learn about the angle's vertex. Come on. Let's do this. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/measuring-angles-in-degrees?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/identifying-ray?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Language and notation of the circle | Introduction to Euclidean geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/U2W7HPyC0cM/default.jpg URL=http://www.youtube.com/watch?v=U2W7HPyC0cM description=Formal definition of a circle. Tangent and secant lines. Diameters and radii. major and minor arcs Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/the-golden-ratio?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/geometric-precision-practice?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic Language and Notation of Geometry thumb=https://i.ytimg.com/vi/OtnQ9YEQ_tU/default.jpg URL=http://www.youtube.com/watch?v=OtnQ9YEQ_tU description=Lines, line segments, rays and points. A little bit about dimensions/description type=video name=Inverse property of multiplication | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XMwnJUprid8/default.jpg URL=http://www.youtube.com/watch?v=XMwnJUprid8 description=Simple idea that multiplying by a numbers multiplicative inverse gets you back to one Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/properties-of-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/inverse-property-of-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse property of addition | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/bjVn4WGmNis/default.jpg URL=http://www.youtube.com/watch?v=bjVn4WGmNis description=The simple idea that a number plus its negative is 0 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/inverse-property-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/identity-property-of-0?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial quotient method of division 2 | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/omFelSZvaJc/default.jpg URL=http://www.youtube.com/watch?v=omFelSZvaJc description=Another example of doing long division using the partial quotient method Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/advanced-mult-div-word-problems/v/multi-step-word-problems-with-whole-numbers-exercise-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/partial_quotient_division/v/partial-quotient-division?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial quotient method of division | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/R486L0M5cWk/default.jpg URL=http://www.youtube.com/watch?v=R486L0M5cWk description=An alternate to traditional long division Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/partial_quotient_division/v/partial-quotient-method-of-division-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/lattice_multiplication/v/why-lattice-multiplication-works?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interest rate swap 2 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/xE43JrjCpjE/default.jpg URL=http://www.youtube.com/watch?v=xE43JrjCpjE description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/black-scholes/v/introduction-to-the-black-scholes-formula?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut/v/interest-rate-swap-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interest rate swap 1 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/PLjyj1FJqig/default.jpg URL=http://www.youtube.com/watch?v=PLjyj1FJqig description=The basic dynamic of an interest rate swap. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut/v/interest-rate-swap-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/financial-weapons-of-mass-destruction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting futures fair value in the premarket | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/owcmu4XxrHM/default.jpg URL=http://www.youtube.com/watch?v=owcmu4XxrHM description=How to interpret the market price of a futures contract relative to the fair value in the premarket. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-back-security-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-fair-value-in-the-pre-market?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Center for Future of Museums thumb=https://i.ytimg.com/vi/PGr1rqZ_3xo/default.jpg URL=http://www.youtube.com/watch?v=PGr1rqZ_3xo description=Sal answers questions for magazine (Sep 2011)/description type=video name=2011 Calculus BC free response #6d | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/m6oMgtGsAa4/default.jpg URL=http://www.youtube.com/watch?v=m6oMgtGsAa4 description=Lagrange error bound for Taylor Polynomial approximation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taylor polynomial remainder (part 2) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/yUUPP70Fhpo/default.jpg URL=http://www.youtube.com/watch?v=yUUPP70Fhpo description=The more terms we have in a Taylor polynomial approximation of a function, the closer we get to the function. But HOW close? In this video, we prove the Lagrange error bound for Taylor polynomials. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/lagrange-error-bound-for-sine-function?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/error-or-remainder-of-a-taylor-polynomial-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taylor polynomial remainder (part 1) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/wgkRH5Uoavk/default.jpg URL=http://www.youtube.com/watch?v=wgkRH5Uoavk description=The more terms we have in a Taylor polynomial approximation of a function, the closer we get to the function. But HOW close? Let's embark on a journey to find a bound for the error of a Taylor polynomial approximation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/proof-bounding-the-error-or-remainder-of-a-taylor-polynomial-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/fourth-degree-coefficient-for-taylor-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Brainwave Sep 2011 thumb=https://i.ytimg.com/vi/0MzIJfmSa5k/default.jpg URL=http://www.youtube.com/watch?v=0MzIJfmSa5k description=Sal answers questions for Brainwave Magazine/description type=video name=2011 Calculus BC free response #6c | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/l1hJABkcuYI/default.jpg URL=http://www.youtube.com/watch?v=l1hJABkcuYI description=Calculating the 6th derivative at 0 from the Taylor Series approximation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus BC free response #6b | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/NQazgcu8c7s/default.jpg URL=http://www.youtube.com/watch?v=NQazgcu8c7s description=Taylor Series for cos x at x=0. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus BC free response #6a | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/1BGlbx67B6s/default.jpg URL=http://www.youtube.com/watch?v=1BGlbx67B6s description=Taylor Series approximation of sin(x). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-3-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus BC free response #3 (b & c) | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/lpXCvX6ZenM/default.jpg URL=http://www.youtube.com/watch?v=lpXCvX6ZenM description=Volume of a solid of rotation and Chain Rule for rates of change. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-3a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus BC free response #3a | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/_G9JwTwjulA/default.jpg URL=http://www.youtube.com/watch?v=_G9JwTwjulA description=Arc length of a function. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-3-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-1d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=School Leadership Briefing Questions (Sep 12 2011) 2 thumb=https://i.ytimg.com/vi/nxQ-5li9rbA/default.jpg URL=http://www.youtube.com/watch?v=nxQ-5li9rbA description=More answers for School Leadership Briefing/description type=video name=School Leadership Briefing (Sep 12 2011) thumb=https://i.ytimg.com/vi/epQlOmZ0Kzs/default.jpg URL=http://www.youtube.com/watch?v=epQlOmZ0Kzs description=Sal answers questions for School Leadership Briefing/description type=video name=Ritual of the bedside exam | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/w2QVg9mezcY/default.jpg URL=http://www.youtube.com/watch?v=w2QVg9mezcY description=Dr. Abraham Verghese explains the ritual of the bedside exam. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/systemic-thinking-about-cancer?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/bacterial-meningitis?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Childhood growth | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/gF0aA-si89Y/default.jpg URL=http://www.youtube.com/watch?v=gF0aA-si89Y description=Sal talks with Dr. Laura Bachrach about childhood growth. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/bacterial-meningitis?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/precocious-puberty?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Precocious puberty | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/XhYQYVQq6K0/default.jpg URL=http://www.youtube.com/watch?v=XhYQYVQq6K0 description=At Stanford Medical School with Morgan Theis talking to Dr. Laura Bachrach talking about precocious puberty. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/childhood-growth?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/cervical-spine-protection-in-airway-management-not-a-substitute-for-formal-training?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bacterial meningitis | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/CnXuSCaCNBo/default.jpg URL=http://www.youtube.com/watch?v=CnXuSCaCNBo description=Dr. Charles Prober discusses prudent prescribing of antibiotics in the context of bacterial meningitis with 4th year medical student Morgan Theis. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/ritual-of-the-bedside-exam?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/childhood-growth?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus BC free response #1d | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/v-4QScXlN0o/default.jpg URL=http://www.youtube.com/watch?v=v-4QScXlN0o description=Arc length for a curve. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-3a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-1-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus BC free response #1 (b & c) | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/73eSiVcg4tQ/default.jpg URL=http://www.youtube.com/watch?v=73eSiVcg4tQ description=Position and slope of particle's path at a given time. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-1d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-1a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus BC free response #1a | AP Calculus BC solved exams | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/wtLTb_VaI-k/default.jpg URL=http://www.youtube.com/watch?v=wtLTb_VaI-k description=Velocity and acceleration vectors for particle. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-1-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2015/v/2015-ap-calculus-bc-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #1a | AP Calculus AB solved exams | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ppBJWf_Wdmc/default.jpg URL=http://www.youtube.com/watch?v=ppBJWf_Wdmc description=Determining whether speed is increasing. Difference between speed and acceleration. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-1-parts-b-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2015/v/2015-ap-calculus-ab-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #6c | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/ucghWyc2_qs/default.jpg URL=http://www.youtube.com/watch?v=ucghWyc2_qs description=Average value of a piecewise-defined function on an interval. Created by Sal Khan. This is the last video in our AP Calculus AB subject! Now move on to our first video in AP Calculus BC: https://www.khanacademy.org/math/ap-calculus-bc/bc-limits-continuity/bc-about-the-course/v/khan-academy-in-the-classroom-bill-scott?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #6b | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/RuEJzPQ_N10/default.jpg URL=http://www.youtube.com/watch?v=RuEJzPQ_N10 description=Derivative of a piecewise-defined function. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-6c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #6a | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/fr-8tjLoeDw/default.jpg URL=http://www.youtube.com/watch?v=fr-8tjLoeDw description=Continuity of piecewise-defined functions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-6b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-5c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #5c. | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/R-2Uw10QgIo/default.jpg URL=http://www.youtube.com/watch?v=R-2Uw10QgIo description=Solving a differential equation using separation of variables. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-6a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-5b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #5b | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/hAAIgNzBGg0/default.jpg URL=http://www.youtube.com/watch?v=hAAIgNzBGg0 description=Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-5c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-5a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #5a | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/n9UvuzI2fq0/default.jpg URL=http://www.youtube.com/watch?v=n9UvuzI2fq0 description=Using a tangent line to extrapolate a function from a known initial condition. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-5b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #4d | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/yX3JpmEgNHo/default.jpg URL=http://www.youtube.com/watch?v=yX3JpmEgNHo description=Mean Value Theorem and differentiability. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-5a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #4c | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/M_ADc9jkBig/default.jpg URL=http://www.youtube.com/watch?v=M_ADc9jkBig description=Finding the points of inflection for a strangely defined function. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #4b | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/OvMBNVi5bLY/default.jpg URL=http://www.youtube.com/watch?v=OvMBNVi5bLY description=Absolute maximum over an interval. Critical points and differentiability. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #4a | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/tnoPnyvVjyc/default.jpg URL=http://www.youtube.com/watch?v=tnoPnyvVjyc description=Taking derivatives and integrals of strangely defined functions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-3-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB Free Response #1 parts b c d | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/QackTJWqOjA/default.jpg URL=http://www.youtube.com/watch?v=QackTJWqOjA description=Integration to find average value of a function. Using a graphing calculator to calculate definite integrals. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-2-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-1a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #3 (c) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/v-H_7o7EMoU/default.jpg URL=http://www.youtube.com/watch?v=v-H_7o7EMoU description=Disk method to find the volume of a solid generated by rotation of a function. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-4a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-3-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #3 (a & b) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/9UhChwcVWq8/default.jpg URL=http://www.youtube.com/watch?v=9UhChwcVWq8 description=Equation of a tangent line and area between curves. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-3-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-2-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #2 (c & d) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/2axaRJQkfVk/default.jpg URL=http://www.youtube.com/watch?v=2axaRJQkfVk description=Second fundamental theorem of calculus application. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-3-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-2-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2011 Calculus AB free response #2 (a & b) | AP Calculus AB | Khan Academy thumb=https://i.ytimg.com/vi/Z3X6QqezqUg/default.jpg URL=http://www.youtube.com/watch?v=Z3X6QqezqUg description=Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-2-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-ab/ab-solved-exams/ab-solved-exams-2011/v/2011-calculus-ab-free-response-1-parts-b-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusAB AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan AcademyÕs AP Calculus AB channel: https://www.youtube.com/channel/UCyoj0ZF4uw8VTFbmlfOVPuw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Early Show thumb=https://i.ytimg.com/vi/2sTkub_aYt4/default.jpg URL=http://www.youtube.com/watch?v=2sTkub_aYt4 description=Khan Academy profiled on the Early Show/description type=video name=Healthcare system overview | Health care system | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/LMHxxvbzFqc/default.jpg URL=http://www.youtube.com/watch?v=LMHxxvbzFqc description=The different roles in the healthcare system. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/paying-doctors?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/health-care-costs-in-us-vs-europe?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Paying doctors | Health care system | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/4J-dRA3MGc8/default.jpg URL=http://www.youtube.com/watch?v=4J-dRA3MGc8 description=Basics of how doctors get paid. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/medicare-overview?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/healthcare-system-overview?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to the endocrine system | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/f_Z1zsR9lFM/default.jpg URL=http://www.youtube.com/watch?v=f_Z1zsR9lFM description=Basic overview of hormones and the endocrine system. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/advanced-endocrine-system/endocrine-system-introduction/v/endocrine-gland-hormone-review?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/hematologic-system-diseases-2/myeloproliferative-disorders/v/what-is-primary-myelofibrosis?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Richter scale | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/RFn-IGlayAg/default.jpg URL=http://www.youtube.com/watch?v=RFn-IGlayAg description=The basics of the logarithmic Richter and Moment Magnitude Scales to measure earthquakes Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/natural_logarithm/v/natural-logarithm-with-a-calculator?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/logarithmic-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Gates Notes: Students in Los Altos thumb=https://i.ytimg.com/vi/q7lttowsC0Y/default.jpg URL=http://www.youtube.com/watch?v=q7lttowsC0Y description=Students in Los Altos School District share their experiences with Khan Academy More free lessons at: http://www.khanacademy.org/video?v=q7lttowsC0Y/description type=video name=The Gates Notes: Teachers in Los Altos thumb=https://i.ytimg.com/vi/RoGgxrCsCEQ/default.jpg URL=http://www.youtube.com/watch?v=RoGgxrCsCEQ description=Teachers in Los Altos School District share their experiences with Khan Academy More free lessons at: http://www.khanacademy.org/video?v=RoGgxrCsCEQ/description type=video name=The Gates Notes: Administrators in Los Altos thumb=https://i.ytimg.com/vi/2DlxIXYEu4s/default.jpg URL=http://www.youtube.com/watch?v=2DlxIXYEu4s description=Administrators in Los Altos School District share their experiences with Khan Academy More free lessons at: http://www.khanacademy.org/video?v=2DlxIXYEu4s/description type=video name=The Gates Notes: Insights into students' progress thumb=https://i.ytimg.com/vi/zscrs94_pFc/default.jpg URL=http://www.youtube.com/watch?v=zscrs94_pFc description=How Khan Academy is helping teachers free up classroom time, track student's progress, and pinpoint their needs More free lessons at: http://www.khanacademy.org/video?v=zscrs94_pFc/description type=video name=The Gates Notes: Sal on Khan Academy thumb=https://i.ytimg.com/vi/raP1ZWQSXjY/default.jpg URL=http://www.youtube.com/watch?v=raP1ZWQSXjY description=Salman Khan on the future of learning. More free lessons at: http://www.khanacademy.org/video?v=raP1ZWQSXjY/description type=video name=Answers to Questions from the Independent thumb=https://i.ytimg.com/vi/NV4_Xra0g8E/default.jpg URL=http://www.youtube.com/watch?v=NV4_Xra0g8E description=Sal answers questions on August 26, 2011/description type=video name=Carry trade basics | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/8In5PK1yUAA/default.jpg URL=http://www.youtube.com/watch?v=8In5PK1yUAA description=The mechanics of the carry trade. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation/v/floating-exchange-resolving-trade-imbalance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/currency-tutorial/v/china-keeps-peg-but-diversifies-holdings?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial walks through how China's undervaluing of its currency impacts trade and prices (which also fuels cheap borrowing for the U.S.). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Logarithmic scale | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/sBhEi4L91Sg/default.jpg URL=http://www.youtube.com/watch?v=sBhEi4L91Sg description=Understanding how logarithmic scale is different from linear scale and why it could be useful Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/richter-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/solving-logarithmic-equations_dup_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Firestick farming | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/mwUyaeWxJhA/default.jpg URL=http://www.youtube.com/watch?v=mwUyaeWxJhA description=How the indigenous Australians used fire to change their environment. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/collective-learning?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/development-of-agriculture-and-writing?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vi and Sal explore how we think about scale | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/4xfOq00BzJA/default.jpg URL=http://www.youtube.com/watch?v=4xfOq00BzJA description=Vi Hart (http://www.youtube.com/vihart) and Sal talk about how we humans perceive things nonlinearly Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/logarithmic-equations/v/solving-logarithmic-equations_dup_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/logarithmic-function-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Benford's law explanation (sequel to mysteries of Benford's law) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/SZUDoEdjTzg/default.jpg URL=http://www.youtube.com/watch?v=SZUDoEdjTzg description=Vi and Sal talk through the intuition of Benford's law (part 2) Watch the next lesson: https://www.khanacademy.org/math/algebra2/complex-numbers-a2/imaginary_unit_i-a2/v/introduction-to-i-and-imaginary-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithmic-scale-patterns/v/vi-and-sal-talk-about-the-mysteries-of-benford-s-law?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vi and Sal talk about the mysteries of Benford's law | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/6KmeGpjeLZ0/default.jpg URL=http://www.youtube.com/watch?v=6KmeGpjeLZ0 description=Vi Hart visits Khan Academy and talks about Benford's Law with Sal Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithmic-scale-patterns/v/benford-s-law-explanation-sequel-to-mysteries-of-benford-s-law?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithmic-scale-patterns/v/logarithmic-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to lines, line segments, and rays | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/JcqCf762y9w/default.jpg URL=http://www.youtube.com/watch?v=JcqCf762y9w description=Let's get familiar with the difference between lines, line segments, and rays. Hint: a ray is somewhere between a line and a line segment! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/recognizing_rays_lines_and_line_segments?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/drawing-lines-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/intro_euclid/v/language-and-notation-of-basic-geometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ordering negative numbers | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/VW6UrPKPInA/default.jpg URL=http://www.youtube.com/watch?v=VW6UrPKPInA description=Is -40 bigger than -10? When ordering negative numbers from least to greatest, careful that you don't get hung up on the "amount" of the number. Think about what that negative sign really means! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/e/ordering_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-and-subtracting-negative-number-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/v/number-line-3-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing absolute values | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/hKkBlcnU9pw/default.jpg URL=http://www.youtube.com/watch?v=hKkBlcnU9pw description=When we compare numbers we use the concepts of greater than, less than, and equal to (=). The same is true of absolute values. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/e/comparing_absolute_values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-word-problems-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-of-integers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing and ordering fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/N8dIOmk_lHs/default.jpg URL=http://www.youtube.com/watch?v=N8dIOmk_lHs description=Finding common denominators of multiple fractions to order them Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/e/ordering_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decomposing-fractions-pre-alg/v/decomposing-a-fraction-visually?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/comparing-fractions-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More angle measurements using a protractor | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/wJ37GJyViU8/default.jpg URL=http://www.youtube.com/watch?v=wJ37GJyViU8 description=We're practicing measuring angles using the virtual protractor. Do this a few times with us and you'll use a real protractor like a pro! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/measuring_angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/acute-right-and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/using-a-protractor?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Setting up proportions to solve word problems | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/96ZEmUbnuU8/default.jpg URL=http://www.youtube.com/watch?v=96ZEmUbnuU8 description=Some examples of writing two ratios and setting them equal to each other to solve proportion word problems Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/e/writing_proportions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/find-an-unknown-in-a-proportion-2?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/find-an-unknown-in-a-proportion?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=21st Century Challenges (Royal Geographic Society) thumb=https://i.ytimg.com/vi/FU5twilx7nw/default.jpg URL=http://www.youtube.com/watch?v=FU5twilx7nw description=Answers to questions from the Royal Geographic Society/description type=video name=Answers for Malibu Magazine thumb=https://i.ytimg.com/vi/kMCP4njGAMw/default.jpg URL=http://www.youtube.com/watch?v=kMCP4njGAMw type=video name=NCSU Answers thumb=https://i.ytimg.com/vi/US9i6UpzDM8/default.jpg URL=http://www.youtube.com/watch?v=US9i6UpzDM8 description=Answers for the NCSU newpaper/description type=video name=Questions from Superinteressante (8-22-2011) thumb=https://i.ytimg.com/vi/YGIw-H0AtwU/default.jpg URL=http://www.youtube.com/watch?v=YGIw-H0AtwU description=Answers for a magazine in Brazil/description type=video name=Understanding South Indian Naming thumb=https://i.ytimg.com/vi/4Zf_PFN-kbg/default.jpg URL=http://www.youtube.com/watch?v=4Zf_PFN-kbg description=Dr. Mahadevan explains how South Indian naming differs from North Indian or Western naming/description type=video name=Cervical spine protection in airway management (not a substitute for formal training) | Khan Academy thumb=https://i.ytimg.com/vi/DJY89_jC_ZY/default.jpg URL=http://www.youtube.com/watch?v=DJY89_jC_ZY description=Cervical Spine Protection in Airway Management. This is for education only. It is not a substitute for formal training or licensure. Every effort has been made in preparing this video to provide accurate and up-to-date information which is in accord accepted standards and practice at the time of production. We make no warranties on the information contained in the video because clinical standards are constantly changing through research and regulation. We disclaim all liability for direct or consequential damages resulting from the use of material contained in this video. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/precocious-puberty?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/assessing-alignment-of-the-lateral-cervical-spine-neck-x-ray?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Global Burden of Trauma Why Should We Care thumb=https://i.ytimg.com/vi/n68K_-ZzjuY/default.jpg URL=http://www.youtube.com/watch?v=n68K_-ZzjuY type=video name=Assessing alignment of the lateral cervical spine (neck) X-ray | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/PV5u5xskBKM/default.jpg URL=http://www.youtube.com/watch?v=PV5u5xskBKM description=Dr. Mahadevan of Stanford Medical School shows Sal what misalignment in the neck could look like in an X-ray. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/cervical-spine-protection-in-airway-management-not-a-substitute-for-formal-training?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/adequacy-of-the-lateral-cervical-spine-x-ray?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adequacy of the lateral cervical spine X-ray | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/cbkTTluHaTw/default.jpg URL=http://www.youtube.com/watch?v=cbkTTluHaTw description=Dr. Mahadevan from Stanford School of Medicine explains adequacy for lateral cervical (neck) x-rays. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/assessing-alignment-of-the-lateral-cervical-spine-neck-x-ray?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/spotting-salty-foods?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cancerous colon tissue | Gastrointestinal system diseases | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/KyJs9H0vzTM/default.jpg URL=http://www.youtube.com/watch?v=KyJs9H0vzTM description=Dr. Andy Connolly of Stanford Medical School shows us what cancerous colon tissue looks like. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/advanced-muscular-system/muscular-system-introduction/v/myosin-and-actin?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases/colon-diseases/v/colon-dysplasia?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Colon dysplasia | Gastrointestinal system diseases | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/CGrbnripinU/default.jpg URL=http://www.youtube.com/watch?v=CGrbnripinU description=Dr. Andy Connolly shows Sal what cancerous colon tissue looks like. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases/colon-diseases/v/cancerous-colon-tissue?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases/colon-diseases/v/hyperplasia-in-colon-tissue?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Normal colon tissue | Gastrointestinal system diseases | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/fif5ghe8JM0/default.jpg URL=http://www.youtube.com/watch?v=fif5ghe8JM0 description=Dr. Andy Connolly from Stanford Medical School introduces Sal to what normal colon tissue looks like. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases/colon-diseases/v/hyperplasia-in-colon-tissue?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases/celiac-disease/v/what-is-celiac-disease?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hyperplasia in colon tissue | Gastrointestinal system diseases | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/C0frzmxc5KU/default.jpg URL=http://www.youtube.com/watch?v=C0frzmxc5KU description=Dr. Andy Connolly from Stanford Medical School shows Sal what hyperplasia in colon tissue looks like. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases/colon-diseases/v/colon-dysplasia?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/gastrointestinal-system-diseases/colon-diseases/v/normal-colon-tissue?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Correlation and causality | Statistical studies | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ROpbdO-gRUo/default.jpg URL=http://www.youtube.com/watch?v=ROpbdO-gRUo description=Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/e/types-of-statistical-studies?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/v/analyzing-statistical-study?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistical-studies/types-of-studies/v/types-statistical-studies?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan interviewed on NPR's On Point thumb=https://i.ytimg.com/vi/Tz2H8dMMwi0/default.jpg URL=http://www.youtube.com/watch?v=Tz2H8dMMwi0 description=August 17, 2011/description type=video name=Prudent Prescribing of Antibiotics (Experiment with Dr. Prober) thumb=https://i.ytimg.com/vi/vJd_oHdMzEM/default.jpg URL=http://www.youtube.com/watch?v=vJd_oHdMzEM description=Initial experiment of Sal having conversations with people with people who are experts in their fields/description type=video name=Generalizing with binomial coefficients (bit advanced) | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/AOsWph2FNLw/default.jpg URL=http://www.youtube.com/watch?v=AOsWph2FNLw description=Conceptual understanding of where the formula for binomial coefficients come from Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/conditional-probability-and-combinations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/mega-millions-jackpot-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Getting exactly two heads (combinatorics) | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/8TIben0bJpU/default.jpg URL=http://www.youtube.com/watch?v=8TIben0bJpU description=A different way to think about the probability of getting 2 heads in 4 flips Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/probability-and-combinations-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/coin-flipping-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exactly three heads in five flips | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/udG9KhNMKJw/default.jpg URL=http://www.youtube.com/watch?v=udG9KhNMKJw description=Probability of exactly 3 heads in 5 flips using combinations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/probability-of-dependent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/probability-using-combinations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternate proof to induction for integer sum | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/1wnIsgUivEQ/default.jpg URL=http://www.youtube.com/watch?v=1wnIsgUivEQ description=Another way to prove the expression for the sum of all positive integers up to and including n Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/explicit-and-recursive-definitions-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/proof_by_induction/v/proof-by-induction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof by induction | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/wblW_M_HVQ8/default.jpg URL=http://www.youtube.com/watch?v=wblW_M_HVQ8 description=Proving an expression for the sum of all positive integers up to and including n by induction Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/proof_by_induction/v/alternate-proof-to-induction-for-integer-sum?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/birthday-probability-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability without equally likely events | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/RI874OSJp1U/default.jpg URL=http://www.youtube.com/watch?v=RI874OSJp1U description=Up until now, we've looked at probabilities surrounding only equally likely events. What about probabilities when we don't have equally likely events? Say, we have unfair coins? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/independent-events-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/lebron-asks-about-free-throws-versus-three-pointers?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coin flipping probability | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/mkyZ45KQYi4/default.jpg URL=http://www.youtube.com/watch?v=mkyZ45KQYi4 description=In this video, we' ll explore the probability of getting at least one heads in multiple flips of a fair coin. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/events-and-outcomes-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/compound-probability-of-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound probability of independent events | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/xSc4oLA9e8o/default.jpg URL=http://www.youtube.com/watch?v=xSc4oLA9e8o description=You'll become familiar with the concept of independent events, or that one event in no way affects what happens in the second event. Keep in mind, too, that the sum of the probabilities of all the possible events should equal 1. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/getting-at-least-one-heads?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/v/addition-rule-for-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition rule for probability | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/QE2uR6Z-NcU/default.jpg URL=http://www.youtube.com/watch?v=QE2uR6Z-NcU description=Venn diagrams and the addition rule for probability Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/e/adding-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/independent_events/v/compound-probability-of-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/v/probability-with-playing-cards-and-venn-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Answers Questions from Malaysian Magazine Readers thumb=https://i.ytimg.com/vi/sII5w9fmB70/default.jpg URL=http://www.youtube.com/watch?v=sII5w9fmB70 description=Sal informally answers questions from Malaysian viewers for a magazine/description type=video name=Probability with playing cards and Venn diagrams | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/obZzOq_wSCg/default.jpg URL=http://www.youtube.com/watch?v=obZzOq_wSCg description=Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/e/adding-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/v/addition-rule-for-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/events-and-outcomes-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability explained | Independent and dependent events | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/uzkc-qNVoOk/default.jpg URL=http://www.youtube.com/watch?v=uzkc-qNVoOk description=We give you an introduction to probability through the example of flipping a quarter and rolling a die. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/e/dice_probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/probability-space-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=New operator definitions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ND-Bbp_q46s/default.jpg URL=http://www.youtube.com/watch?v=ND-Bbp_q46s description=Getting comfortable with evaluating newly defined function operators Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/e/new_definitions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/new_operators/v/new-definitions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/undefined_indeterminate/v/undefined-and-indeterminate?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Heart disease and heart attacks | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/vYnreB1duro/default.jpg URL=http://www.youtube.com/watch?v=vYnreB1duro description=Basics of heart disease, heart attacks, heart failure, angina, cardiac arrest. Special thanks to Edward J Perper, MD for help in clarifying certain aspects of this video. Licensed under CC-BY-SA. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/stenosis-ischemia-and-heart-failure?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/health-care-system/v/medicare-overview?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Elements and atoms | Atoms, compounds, and ions | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/IFKnq9QM6_A/default.jpg URL=http://www.youtube.com/watch?v=IFKnq9QM6_A description=How elements relate to atoms. The basics of how protons, electrons and neutrons make up an atom. Watch the next lesson: https://www.khanacademy.org/science/chemistry/atomic-structure-and-properties/introduction-to-the-atom/v/atomic-number-mass-number-and-isotopes?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Medicare sustainability | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/o1Y0G8Z67iU/default.jpg URL=http://www.youtube.com/watch?v=o1Y0G8Z67iU description=How medicare is funded and why it is even less sustainable than social security. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/medicare-sustainability?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=FICA tax | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/UP9xy2eVj7s/default.jpg URL=http://www.youtube.com/watch?v=UP9xy2eVj7s description=How the FICA tax is calculated and what it stands for. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/fica-tax?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Social security intro | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/gLHUCUv1e5Y/default.jpg URL=http://www.youtube.com/watch?v=gLHUCUv1e5Y description=Basics on how social security works. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/social-security-intro?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Ordering Numeric Expressions thumb=https://i.ytimg.com/vi/w7k1YEcAaaE/default.jpg URL=http://www.youtube.com/watch?v=w7k1YEcAaaE description=Converting percentages and fractions to decimals to order numbers/description type=video name=Government's financial condition | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/LOiw5aBrm4Y/default.jpg URL=http://www.youtube.com/watch?v=LOiw5aBrm4Y description=The deficit is a measure of how much the government is overspending in a given year, or the difference between government spending and revenue. The deficit, however, does not account for the total of the government's liabilities, which include future payments to government employees and veterans and programs like Social Security. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/government-s-financial-condition?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Deficit and debt ceiling | American civics | US government and civics | Khan Academy thumb=https://i.ytimg.com/vi/-05OfTp6ZEE/default.jpg URL=http://www.youtube.com/watch?v=-05OfTp6ZEE description=Basic of the deficit, debt and debt ceiling. Created by Sal Khan. View more lessons or practice this subject at https://www.khanacademy.org/humanities/us-government-and-civics/american-civics-parent/american-civics/v/deficit-and-debt-ceiling?utm_source=youtube&utm_medium=desc&utm_campaign=usgovernmentandcivics Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_source=youtube&utm_medium=desc/description type=video name=Breaking the Buck thumb=https://i.ytimg.com/vi/aW-TjPdJxCc/default.jpg URL=http://www.youtube.com/watch?v=aW-TjPdJxCc description=The unlikely scenario of investors of a money market fund losing money/description type=video name=Money Market Funds thumb=https://i.ytimg.com/vi/Ea3DGInR2m0/default.jpg URL=http://www.youtube.com/watch?v=Ea3DGInR2m0 description=The basics of money market funds/description type=video name=Electoral college | American civics | US History | Khan Academy thumb=https://i.ytimg.com/vi/oTbvYGH_Hiw/default.jpg URL=http://www.youtube.com/watch?v=oTbvYGH_Hiw description=How we elect our President in the United States. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/american-civics-parent/american-civics/v/primaries-and-caucuses?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/american-civics-parent/american-civics/v/more-fiscal-cliff-analysis?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Primaries and caucuses | American civics | US History | Khan Academy thumb=https://i.ytimg.com/vi/z_QeYCg4yJ8/default.jpg URL=http://www.youtube.com/watch?v=z_QeYCg4yJ8 description=How states choose their delegates for the national party conventions (video content under CC-BY-SA license). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/us-history/american-civics-parent/american-civics/v/deficit-and-debt-ceiling?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory Missed the previous lesson? https://www.khanacademy.org/humanities/us-history/american-civics-parent/american-civics/v/electoral-college?utm_source=YT&utm_medium=Desc&utm_campaign=UShistory US history on Khan Academy: From a mosquito-ridden backwater to the world's last remaining superpower, the United States of America is a nation with a rich history and a noble goal: government of the people, by the people, for the people. Its citizens' struggle to achieve that goal is a dramatic story stretching over hundreds of years. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s US History channel: https://www.youtube.com/channel/UCurOvzSAIe84sW8zwPGHUHg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deflationary spiral | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/snX4Wf7PGts/default.jpg URL=http://www.youtube.com/watch?v=snX4Wf7PGts description=Basics of a deflationary spiral. Created by Sal Khan. Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial/v/deflation-despite-increases-in-money-supply?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Prices don't always go up. They often go down. This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far. This tutorial explains what deflation is, how it happens and what the effects of it might be. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hyperinflation in a good economy | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/AC_kjcuHpZw/default.jpg URL=http://www.youtube.com/watch?v=AC_kjcuHpZw description=Basic of hyperinflation. Weimar Germany, Hungarian Pengo and Zibabwean Dollar. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut/v/real-and-nominal-return?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial/v/stagflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: You know about inflation, but now want to look at how thing might play out in different scenarios. This tutorial focuses on when inflation is "acceptable" and when it isn't (and the causes and repercussions). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deflation despite increases in money supply | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/t2AeULH_Ijw/default.jpg URL=http://www.youtube.com/watch?v=t2AeULH_Ijw description=How you can have deflation even if the money supply increases. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial/v/deflationary-spiral?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial/v/velocity-of-money-rather-than-quantity-driving-prices?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Prices don't always go up. They often go down. This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far. This tutorial explains what deflation is, how it happens and what the effects of it might be. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Velocity of money rather than quantity driving prices | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/stfSnPaaK04/default.jpg URL=http://www.youtube.com/watch?v=stfSnPaaK04 description=How velocity of money can drive price increases. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial/v/deflation-despite-increases-in-money-supply?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial/v/deflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Prices don't always go up. They often go down. This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far. This tutorial explains what deflation is, how it happens and what the effects of it might be. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deflation | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/FPh6EDv0Eew/default.jpg URL=http://www.youtube.com/watch?v=FPh6EDv0Eew description=Basics of deflation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial/v/velocity-of-money-rather-than-quantity-driving-prices?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/inflation-deflation-3-obama-stimulus-plan?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Prices don't always go up. They often go down. This might seem like a good thing, but it could be disastrous for a modern economy is it goes too far. This tutorial explains what deflation is, how it happens and what the effects of it might be. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Use cases for credit default swaps | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ewSw9tF9Z0E/default.jpg URL=http://www.youtube.com/watch?v=ewSw9tF9Z0E description=How credit default swaps can be used as hedges, insurance or side-bets. Created bySal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/financial-weapons-of-mass-destruction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/credit-default-swaps-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Financial weapons of mass destruction | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/MNUVuZu6heA/default.jpg URL=http://www.youtube.com/watch?v=MNUVuZu6heA description=Why Warren Buffett called Credit Default Swaps financial weapons of mass destruction.Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/interest-rate-swaps-tut/v/interest-rate-swap-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/use-cases-for-credit-default-swaps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflation data | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/DK1lCc9b7bg/default.jpg URL=http://www.youtube.com/watch?v=DK1lCc9b7bg description=Looking at actual sequential and year-over-year inflation data. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial/v/cpi-index?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial/v/what-is-inflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: $1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then). Why? And how do we measure how much more expensive things have gotten (i.e., inflation)? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is inflation? | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/yahEP620480/default.jpg URL=http://www.youtube.com/watch?v=yahEP620480 description=The basics of what price inflation is and how the CPI-U is calculated. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial/v/inflation-data?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial/v/inflation-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: $1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then). Why? And how do we measure how much more expensive things have gotten (i.e., inflation)? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Moderate inflation in a good economy | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Z_DcXewHHA8/default.jpg URL=http://www.youtube.com/watch?v=Z_DcXewHHA8 description=Why there tends to be moderate inflation during good economies. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial/v/stagflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial/v/cpi-index?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: You know about inflation, but now want to look at how thing might play out in different scenarios. This tutorial focuses on when inflation is "acceptable" and when it isn't (and the causes and repercussions). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stagflation | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/bTz_tx460EY/default.jpg URL=http://www.youtube.com/watch?v=bTz_tx460EY description=How a supply shock can cause prices to rise and the economy to stagnate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial/v/hyperinflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial/v/moderate-inflation-in-a-good-economy?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: You know about inflation, but now want to look at how thing might play out in different scenarios. This tutorial focuses on when inflation is "acceptable" and when it isn't (and the causes and repercussions). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating real return in last year dollars | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/GiB9Mkgkrek/default.jpg URL=http://www.youtube.com/watch?v=GiB9Mkgkrek description=Calculating real return in last year dollars. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut/v/relation-between-nominal-and-real-returns-and-inflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut/v/real-and-nominal-return?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If the value of money is constantly changing, can we compare investment return in the future or past to that earned in the present? This tutorial focuses on how to do this (another good tutorial to watch is the one on "present value"). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Real and nominal return | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/cNm196bVE5A/default.jpg URL=http://www.youtube.com/watch?v=cNm196bVE5A description=Inflation and real and nominal return. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut/v/calculating-real-return-in-last-year-dollars?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial/v/hyperinflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If the value of money is constantly changing, can we compare investment return in the future or past to that earned in the present? This tutorial focuses on how to do this (another good tutorial to watch is the one on "present value"). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relation between nominal and real returns and inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/6ycEasF48zI/default.jpg URL=http://www.youtube.com/watch?v=6ycEasF48zI description=Relation between nominal and real returns and inflation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/economics-of-a-cupcake-factory?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut/v/calculating-real-return-in-last-year-dollars?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If the value of money is constantly changing, can we compare investment return in the future or past to that earned in the present? This tutorial focuses on how to do this (another good tutorial to watch is the one on "present value"). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Collateralized debt obligation overview | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/TEfyIsDRGCk/default.jpg URL=http://www.youtube.com/watch?v=TEfyIsDRGCk description=How CDOs can give different investors different levels of risk and returns with the same underlying assets. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/cdo-tutorial/v/collateralized-debt-obligation-cdo?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-iii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mortgage-backed security overview | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/dwleadLC2Dw/default.jpg URL=http://www.youtube.com/watch?v=dwleadLC2Dw description=Basics of how a mortgage back security works. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-i?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/interpretting-futures-fair-value-in-the-premarket?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Credit default swaps (CDS) intro | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ccaCl1GKdJ0/default.jpg URL=http://www.youtube.com/watch?v=ccaCl1GKdJ0 description=Introduction to credit default swaps and why they can be dangerous. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/credit-default-swaps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/cdo-tutorial/v/collateralized-debt-obligation-cdo?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Futures fair value in the pre-market | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/QiluvhVryI0/default.jpg URL=http://www.youtube.com/watch?v=QiluvhVryI0 description=What is the Futures Fair Value and how to traders use it as an indicator for stock price direction at market opening. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/interpretting-futures-fair-value-in-the-premarket?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/arbitraging-futures-contracts-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fraction to decimal | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Y1V5mZaMfTk/default.jpg URL=http://www.youtube.com/watch?v=Y1V5mZaMfTk description=Converting fractions to decimals sometimes requires us to brush up on our long division skills. We'll walk you through it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_fractions_to_decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing Rational Numbers | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/VZOHWaw5dqM/default.jpg URL=http://www.youtube.com/watch?v=VZOHWaw5dqM description=Comparing Rational Numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-add-sub-rational-numbers/e/comparing-rational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-add-sub-rational-numbers/v/adding-and-subtracting-a-decimal-percentage-and-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-fracs-to-decimals/v/converting-fractions-to-decimals-ex1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals: place value difference | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/FwMYoK1QKso/default.jpg URL=http://www.youtube.com/watch?v=FwMYoK1QKso description=It's not uncommon to be asked to compare two decimals and judge which one is larger. How do you do that? This video will gave you the confidence to answer that question. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/e/comparing_decimals_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/ordering-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals-2-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing two decimal numbers using a number line (example) | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/LpLnmuAyNWg/default.jpg URL=http://www.youtube.com/watch?v=LpLnmuAyNWg description=Let's compare decimals on a number line, shall we? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/e/decimals_on_the_number_line_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/v/points-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/regrouping-decimals-pre-alg/v/regrouping-decimals-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Evaluating expressions with 2 variables | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/BXHNzUaIRR0/default.jpg URL=http://www.youtube.com/watch?v=BXHNzUaIRR0 description=Evaluating Expressions with Two Variables Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/variable-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/expressions-with-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying Rational Numbers thumb=https://i.ytimg.com/vi/joZ3TOTfPkg/default.jpg URL=http://www.youtube.com/watch?v=joZ3TOTfPkg description=u09_l1_t3_we5 Identifying Rational Numbers/description type=video name=Finding common denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lxjmR4pYIVU/default.jpg URL=http://www.youtube.com/watch?v=lxjmR4pYIVU description=Finding Common Denominators Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/e/equivalent_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/comparing-fractions-with-greater-than-and-less-than-symbols?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/equivalent-fractions-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtraction with Borrowing or Regrouping thumb=https://i.ytimg.com/vi/QD86addRZEw/default.jpg URL=http://www.youtube.com/watch?v=QD86addRZEw description=u01_l2_t2_we2 Subtraction with Borrowing or Regrouping/description type=video name=Subtracting Whole Numbers thumb=https://i.ytimg.com/vi/sAw71J2kYJE/default.jpg URL=http://www.youtube.com/watch?v=sAw71J2kYJE description=u01_l2_t2_we1 Subtracting Whole Numbers More free lessons at: http://www.khanacademy.org/video?v=sAw71J2kYJE Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Subtraction Word Problem thumb=https://i.ytimg.com/vi/QY8vv7eVVJE/default.jpg URL=http://www.youtube.com/watch?v=QY8vv7eVVJE description=u01_l2_t2_we3 Subtraction Word Problem Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Comparing with multiplication: age | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/bS6EmYzpou4/default.jpg URL=http://www.youtube.com/watch?v=bS6EmYzpou4 description=Multiplication helps us compare ages. Hint: learn those multiplication tables. They really help on problems like these. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/e/arithmetic_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/multiplication-word-problem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/comparing-with-multiplication-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Least common multiple exercise: 3 numbers | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/D6yHKOYJiso/default.jpg URL=http://www.youtube.com/watch?v=D6yHKOYJiso description=This least common multiple example gives us 3 numbers from which to find the lcm. This is a challenge, but fun. Do it with us! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/e/least_common_multiple?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/v/greatest-common-divisor-factor-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/v/least-common-multiple-exercise-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing prime and composite numbers | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3h4UK62Qrbo/default.jpg URL=http://www.youtube.com/watch?v=3h4UK62Qrbo description=Can you recognize the prime numbers in this group of numbers? Which are prime, composite, or neither? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/e/prime_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/prime-factorization?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/v/prime-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing fractions with different denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/2dbasvm3iG0/default.jpg URL=http://www.youtube.com/watch?v=2dbasvm3iG0 description=Need help comparing fractions? Try simplifying them first then finding a common denominator. The result are two fractions you can really compare. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/e/comparing_fractions_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/ordering-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/comparing-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting mixed numbers to improper fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-sA-vI2a2mM/default.jpg URL=http://www.youtube.com/watch?v=-sA-vI2a2mM description=Converting Mixed Numbers to Improper Fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/converting_mixed_numbers_and_improper_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/changing-a-mixed-number-to-an-improper-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/proper-and-improper-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proper and improper fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/2h8XiqSnzaU/default.jpg URL=http://www.youtube.com/watch?v=2h8XiqSnzaU description=Proper and Improper Fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/converting_mixed_numbers_and_improper_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/converting-mixed-numbers-to-improper-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/mixed-numbers-and-improper-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying a decimal by a power of 10 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/mV0RxDZG05A/default.jpg URL=http://www.youtube.com/watch?v=mV0RxDZG05A description=You will notice in this word problem that moving the decimal to the right the same number of times as the number of zeros you multiplying by gets you the answer you desire. Check this out! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/e/converting_fractions_to_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/v/dividing-a-decimal-by-a-power-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/multiplying-and-dividing-with-significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion word problem: yards to inches | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/jFSenp9ueaI/default.jpg URL=http://www.youtube.com/watch?v=jFSenp9ueaI description=In this example, we need to convert from yards to inches. We'll do it a couple of ways. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/dimensional-analysis-units-algebraically?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/unit-conversion-example-drug-dosage?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing a decimal by a power of 10 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/W_VhVHRal6o/default.jpg URL=http://www.youtube.com/watch?v=W_VhVHRal6o description=When we were multiplying, we moved the decimal to the right for each power of ten. Guess what? When dividing, we move the decimal to the left for each power of ten. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/e/converting_fractions_to_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/v/dividing-decimals-2-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/v/multiplying-a-decimal-by-a-power-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying percent amount and base | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JaScdH47PYg/default.jpg URL=http://www.youtube.com/watch?v=JaScdH47PYg description=Identifying Percent Amount and Base Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/representing-a-number-as-a-decimal-percent-and-fraction-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/percent-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perimeter and unit conversion | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/q9XCrpLPfGk/default.jpg URL=http://www.youtube.com/watch?v=q9XCrpLPfGk description=Perimeter and Unit Conversion Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/applying-the-metric-system?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/converting-within-the-metric-system?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-step inequalities 3 | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/SgKBBUFaGb4/default.jpg URL=http://www.youtube.com/watch?v=SgKBBUFaGb4 description=Multi-Step Inequalities Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/linear_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/interpreting-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding negative numbers (example) | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/AcpIO62x2oo/default.jpg URL=http://www.youtube.com/watch?v=AcpIO62x2oo description=Use a number line to add -15 + (-46) + (-29) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/e/adding_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-integers-with-different-signs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-and-subtracting-negative-number-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting Real Numbers thumb=https://i.ytimg.com/vi/Zjul_nJnh1c/default.jpg URL=http://www.youtube.com/watch?v=Zjul_nJnh1c description=u9_l2_t3_we1 Subtracting Real Numbers/description type=video name=Number sets | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Ksu1lo312BM/default.jpg URL=http://www.youtube.com/watch?v=Ksu1lo312BM description=Number Sets Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/examples-of-dividing-negative-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Locate integers on a number line thumb=https://i.ytimg.com/vi/TlZVPfvTLXA/default.jpg URL=http://www.youtube.com/watch?v=TlZVPfvTLXA description=u9_l1_t2_we1 Locate integers on a number line/description type=video name=Compound inequalities 3 | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/cvB8b4AACyE/default.jpg URL=http://www.youtube.com/watch?v=cvB8b4AACyE description=Compound Inequalities 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/e/compound_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compound-inequalities-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compund-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proportion word problem (example 1) | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/4ywTWCaLmXE/default.jpg URL=http://www.youtube.com/watch?v=4ywTWCaLmXE description=A recipe for oatmeal cookies calls for 2 cups of flour for every 3 cups of oatmeal. How much flour is needed for a big batch of cookies that uses 9 cups of oatmeal? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/e/constructing-proportions-to-solve-application-problems?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/using-proportion-to-solve-for-variable?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/writing-proportions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting Fahrenheit to Celsius | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NqbkvEK46xM/default.jpg URL=http://www.youtube.com/watch?v=NqbkvEK46xM description=Converting Fahrenheit to Celsius Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/farenheit-celsius-conversion/v/comparing-celsius-and-farenheit-temperature-scales?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/u-s-customary-and-metric-units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving a proportion with an unknown variable (example) | 7th grade | Khan Academy thumb=https://i.ytimg.com/vi/GO5ajwbFqVQ/default.jpg URL=http://www.youtube.com/watch?v=GO5ajwbFqVQ description=Here's a great video where we explain the reasoning behind solving proportions. We'll put some algebra to work to get our answers, too. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/e/proportions_1?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-write-and-solve-proportions/v/writing-proportions?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-graphs-proportions/v/identifying-proportional-relationships-visually?utm_source=YT&utm_medium=Desc&utm_campaign=7thgrade Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 7th grade channel: https://www.youtube.com/channel/UCzKsXcrLSLDG7VN1LODlRkw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Apsidal precession (perihelion precession) and Milankovitch cycles | Khan Academy thumb=https://i.ytimg.com/vi/m6lMGoZTJnc/default.jpg URL=http://www.youtube.com/watch?v=m6lMGoZTJnc description=Apsidal Precession (Perihelion Precession). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/earth-formation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/what-causes-precession-and-other-orbital-changes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What causes precession and other orbital changes | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/nL6LMX8-bPY/default.jpg URL=http://www.youtube.com/watch?v=nL6LMX8-bPY description=What causes precession and other orbital changes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/apsidal-precession-perihelion-precession-and-milankovitch-cycles?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/precession-causing-perihelion-to-happen-later?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Precession causing perihelion to happen later | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/2o-Sef6wllg/default.jpg URL=http://www.youtube.com/watch?v=2o-Sef6wllg description=Clarifying the effect of axial precession on the calendar and the date of perihelion and aphelion. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/what-causes-precession-and-other-orbital-changes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/milankovitch-cycles-precession-and-obliquity?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Are southern hemisphere seasons more severe? | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/umvNQj-zmq4/default.jpg URL=http://www.youtube.com/watch?v=umvNQj-zmq4 description=Are Southern Hemisphere seasons more severe because of the eccentricity in Earth's orbit? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/milankovitch-cycles-precession-and-obliquity?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/how-earth-s-tilt-causes-seasons?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Milankovitch cycles precession and obliquity | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/ZD8THEz18gc/default.jpg URL=http://www.youtube.com/watch?v=ZD8THEz18gc description=How changes in Earth's rotation can effect Earth's seasons and climate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/precession-causing-perihelion-to-happen-later?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/are-southern-hemisphere-seasons-more-severe?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How earth's tilt causes seasons | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/05qDIjKevJo/default.jpg URL=http://www.youtube.com/watch?v=05qDIjKevJo description=How being Earth's tilt causes seasons. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/are-southern-hemisphere-seasons-more-severe?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/seasons-aren-t-dictated-by-closeness-to-sun?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Seasons aren't dictated by closeness to sun | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/SJUd5du0T08/default.jpg URL=http://www.youtube.com/watch?v=SJUd5du0T08 description=Why our closeness to the sun does not dictate the seasons. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/how-earth-s-tilt-causes-seasons?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/the-mohorovicic-seismic-discontinuity?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 4: Applying the quadratic formula | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/OZtqz_xw0SQ/default.jpg URL=http://www.youtube.com/watch?v=OZtqz_xw0SQ description=Application Problem with Quadratic Formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/applying-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/quadratic-formula-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Complex roots for a quadratic | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/dnjK4DPqh0k/default.jpg URL=http://www.youtube.com/watch?v=dnjK4DPqh0k description=Complex Roots from the Quadratic Formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic-formula-with-complex-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/discriminant-of-quadratic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/proof-of-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Discriminant for types of solutions for a quadratic | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/1213qW5k55I/default.jpg URL=http://www.youtube.com/watch?v=1213qW5k55I description=Discriminant for Types of Solutions for a Quadratic Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/solutions_to_quadratic_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_ineq/v/quadratic-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/discriminant-of-quadratic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Completing the square | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/TV5kDqiJ1Os/default.jpg URL=http://www.youtube.com/watch?v=TV5kDqiJ1Os description=Completing the Square to Solve Quadratic Equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/completing-the-square-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/ex2-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 5: Using the quadratic formula | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_E3gx_yQhHQ/default.jpg URL=http://www.youtube.com/watch?v=_E3gx_yQhHQ description=Applying the Quadratic Formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/v/ex3-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/application-problem-with-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Quadratics in standard form | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ty4Ohya4hdE/default.jpg URL=http://www.youtube.com/watch?v=ty4Ohya4hdE description=Quadratic Equations in Standard Form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/proof-of-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/using-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Completing Perfect Square Trinomials thumb=https://i.ytimg.com/vi/tYv-Pchyu0Y/default.jpg URL=http://www.youtube.com/watch?v=tYv-Pchyu0Y description=u16_l5_t1_we2 Completing Perfect Square Trinomials Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Dividing complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Z8j5RDOibV4/default.jpg URL=http://www.youtube.com/watch?v=Z8j5RDOibV4 description=Dividing Complex Numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/e/dividing_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/basic-complex-analysis?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/complex-conjugates-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Solving simple quadratic | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/RweAgQwLdMs/default.jpg URL=http://www.youtube.com/watch?v=RweAgQwLdMs description=Simple Quadratic Equation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/e/solving_quadratics_by_taking_the_square_root?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/v/order-of-steps-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratics-square-root/v/solving-quadratic-equations-by-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying complex numbers | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/cWn6g8Qqvs4/default.jpg URL=http://www.youtube.com/watch?v=cWn6g8Qqvs4 description=Multiplying Complex Numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/e/multiplying_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/complex-conjugates?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/factoring-with-complex-numbers/v/factoring-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex conjugates example | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/dbxJ6LD0344/default.jpg URL=http://www.youtube.com/watch?v=dbxJ6LD0344 description=Complex Conjugates Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/dividing-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/complex-conjugates?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Imaginary roots of negative numbers | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/s03qez-6JMA/default.jpg URL=http://www.youtube.com/watch?v=s03qez-6JMA description=Imaginary Roots of Negative Numbers Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/i-as-the-principal-root-of-1-a-little-technical?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/calculating-i-raised-to-arbitrary-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding complex numbers | Imaginary and complex numbers | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/SfbjqVyQljk/default.jpg URL=http://www.youtube.com/watch?v=SfbjqVyQljk description=Adding Complex Numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/e/adding_and_subtracting_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/v/subtracting-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/v/plotting-complex-numbers-on-the-complex-plane?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting complex numbers | Imaginary and complex numbers | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/tvXRaZbIjO8/default.jpg URL=http://www.youtube.com/watch?v=tvXRaZbIjO8 description=Subtracting Complex Numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/e/adding_and_subtracting_complex_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/v/multiplying-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/v/adding-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex Numbers thumb=https://i.ytimg.com/vi/MEuPzvh0roM/default.jpg URL=http://www.youtube.com/watch?v=MEuPzvh0roM description=u16_l4_t1_we1 Complex Numbers Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Introduction to light | Electronic structure of atoms | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/rLNM8zI4Q_M/default.jpg URL=http://www.youtube.com/watch?v=rLNM8zI4Q_M description=Light and the electromagnetic radiation spectrum. Wave and particle-like behavior, and how to calculate the wavelength or frequency of a light wave. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/electronic-structure-of-atoms/bohr-model-hydrogen/v/photoelectric-effect?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-reactions-stoichiome/types-of-chemical-reactions/v/chem09-precipitation-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=i as the principal root of -1 (a little technical) | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/rYG1D5lUE4I/default.jpg URL=http://www.youtube.com/watch?v=rYG1D5lUE4I description=i as the principal square root of -1 Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/imaginary-roots-of-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating i raised to arbitrary exponents | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/QiwfF83NWNA/default.jpg URL=http://www.youtube.com/watch?v=QiwfF83NWNA description=Calculating i raised to arbitrarily high exponents Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/e/imaginary_unit_powers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/imaginary-roots-of-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/introduction-to-i-and-imaginary-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to i and imaginary numbers | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/ysVcAYo7UPI/default.jpg URL=http://www.youtube.com/watch?v=ysVcAYo7UPI description=Introduction to i and imaginary numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/e/imaginary_unit_powers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/calculating-i-raised-to-arbitrary-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/parametric_equations/polar_coor/v/polar-coordinates-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stellar parallax | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/omvNINaRdxg/default.jpg URL=http://www.youtube.com/watch?v=omvNINaRdxg description=Another version of the stellar parallax introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/stellar-distance-using-parallax?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/parallax-in-observing-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simpler Insertion Sort Function thumb=https://i.ytimg.com/vi/hh3AkOGnnpE/default.jpg URL=http://www.youtube.com/watch?v=hh3AkOGnnpE description=Simplifying the while loop for the Insertion Sort function/description type=video name=Tau versus pi | Graphs of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/1jDDfkKKgmc/default.jpg URL=http://www.youtube.com/watch?v=1jDDfkKKgmc description=Why Tau might be a better number to look at than Pi Watch the next lesson: https://www.khanacademy.org/math/trigonometry/trig-function-graphs/long_live_tau/v/pi-is-still-wrong?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/modeling-periodic-function-with-shift?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stepping Through Insertion Sort Function thumb=https://i.ytimg.com/vi/6pyeMmJTefg/default.jpg URL=http://www.youtube.com/watch?v=6pyeMmJTefg description=Clarifying what "break" does and stepping through the insertion sort implementation/description type=video name=Insertion Sort in Python thumb=https://i.ytimg.com/vi/lEA31vHiry4/default.jpg URL=http://www.youtube.com/watch?v=lEA31vHiry4 description=Basic implementation of insertion sort algorithm/description type=video name=Insertion Sort Algorithm thumb=https://i.ytimg.com/vi/lCzQvQr8Utw/default.jpg URL=http://www.youtube.com/watch?v=lCzQvQr8Utw description=Visual description of the insertion sort algorithm/description type=video name=Exercise - Write a Sorting Function thumb=https://i.ytimg.com/vi/Qbl-RZS2-4g/default.jpg URL=http://www.youtube.com/watch?v=Qbl-RZS2-4g description=Challenge to write a Python function that can sort a list in-place/description type=video name=Stepping Through Recursive Fibonacci Function thumb=https://i.ytimg.com/vi/zg-ddPbzcKM/default.jpg URL=http://www.youtube.com/watch?v=zg-ddPbzcKM description=Understanding why and how the recursive Fibonacci function works/description type=video name=Fun with Strings thumb=https://i.ytimg.com/vi/iZAtkS0F-Zo/default.jpg URL=http://www.youtube.com/watch?v=iZAtkS0F-Zo description=Experimenting and seeing what we can do with strings/description type=video name=Recursive Fibonacci Example thumb=https://i.ytimg.com/vi/urPVT1lymzU/default.jpg URL=http://www.youtube.com/watch?v=urPVT1lymzU description=Using recursion to write a fibonacci function/description type=video name=Stepping Through Iterative Fibonacci Function thumb=https://i.ytimg.com/vi/-BE7FEouGeI/default.jpg URL=http://www.youtube.com/watch?v=-BE7FEouGeI description=Understanding how the iterative fibonacci function works for a particular example/description type=video name=While Loops in Python thumb=https://i.ytimg.com/vi/D0Nb2Fs3Q8c/default.jpg URL=http://www.youtube.com/watch?v=D0Nb2Fs3Q8c description=Seeing that a while loop can do the same thing as a for loop/description type=video name=For Loops in Python thumb=https://i.ytimg.com/vi/9LgyKiq_hU0/default.jpg URL=http://www.youtube.com/watch?v=9LgyKiq_hU0 description=Basics of for loops in Python/description type=video name=Python Lists thumb=https://i.ytimg.com/vi/zEyEC34MY1A/default.jpg URL=http://www.youtube.com/watch?v=zEyEC34MY1A description=Understanding the basics of lists in Python/description type=video name=Introduction to Programs Data Types and Variables thumb=https://i.ytimg.com/vi/husPzLE6sZc/default.jpg URL=http://www.youtube.com/watch?v=husPzLE6sZc description=Writing a basic program. Basics of data types, variables and conditional statements/description type=video name=Iterative Fibonacci Function Example thumb=https://i.ytimg.com/vi/94O_3QCvfqI/default.jpg URL=http://www.youtube.com/watch?v=94O_3QCvfqI description=One way to write a Fibonacci function iteratively/description type=video name=Writing a Simple Factorial Program. (Python 2) thumb=https://i.ytimg.com/vi/ZyYp1V84Xqc/default.jpg URL=http://www.youtube.com/watch?v=ZyYp1V84Xqc description=Writing a simple factorial program with a "for" loop/description type=video name=Exercise - Write a Fibonacci Function thumb=https://i.ytimg.com/vi/Bdbc1ZC-vhw/default.jpg URL=http://www.youtube.com/watch?v=Bdbc1ZC-vhw description=Introduction to the Fibonacci Sequence and a programming challenge/description type=video name=Comparing Iterative and Recursive Factorial Functions thumb=https://i.ytimg.com/vi/kx6DfrYfWnQ/default.jpg URL=http://www.youtube.com/watch?v=kx6DfrYfWnQ description=Comparing iterative and recursive factorial functions/description type=video name=Recursive Factorial Function thumb=https://i.ytimg.com/vi/o920mj0NbhE/default.jpg URL=http://www.youtube.com/watch?v=o920mj0NbhE description=Introduction to recursion./description type=video name=Diagramming What Happens with a Function Call thumb=https://i.ytimg.com/vi/6qCQB8E5bkI/default.jpg URL=http://www.youtube.com/watch?v=6qCQB8E5bkI description=Variable scope and function calls/description type=video name=Defining a Factorial Function thumb=https://i.ytimg.com/vi/JwO_25S_eWE/default.jpg URL=http://www.youtube.com/watch?v=JwO_25S_eWE description=Defining a function in Python/description type=video name=Python 3 Not Backwards Compatible with Python 2 thumb=https://i.ytimg.com/vi/WT-gS-8p7KA/default.jpg URL=http://www.youtube.com/watch?v=WT-gS-8p7KA description=Understanding why the example program would not run in Python 3 and how to fix it./description type=video name=Flowchart for the Factorial Program thumb=https://i.ytimg.com/vi/EiR6cf8Towc/default.jpg URL=http://www.youtube.com/watch?v=EiR6cf8Towc description=Flowchart for the factorial program/description type=video name=Stepping Through the Factorial Program thumb=https://i.ytimg.com/vi/dn9XjHz33O8/default.jpg URL=http://www.youtube.com/watch?v=dn9XjHz33O8 description=Stepping through what happens when a user inputs a particular value into our factorial program/description type=video name=Radical Equation Application Problem thumb=https://i.ytimg.com/vi/j9In_uGFQpQ/default.jpg URL=http://www.youtube.com/watch?v=j9In_uGFQpQ description=u16_l3_t1_we3 Radical Equation Application Problem/description type=video name=Extraneous Solutions for Radical Equations thumb=https://i.ytimg.com/vi/CV64oTCzp3s/default.jpg URL=http://www.youtube.com/watch?v=CV64oTCzp3s description=u16_l3_t1_we2 Extraneous Solutions for Radical Equations/description type=video name=Solving radical equations | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/pFFoAGIEyJc/default.jpg URL=http://www.youtube.com/watch?v=pFFoAGIEyJc description=Solving Radical Equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/extraneous-solutions-to-radical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/how-to-rationalize-a-denominator?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying binomials with radicals | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/yAH3722GrP8/default.jpg URL=http://www.youtube.com/watch?v=yAH3722GrP8 description=Multiplying Binomials with Radicals. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/multiplying-binomials-core-algebra/v/square-a-binomial?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/multiplying-binomials-core-algebra/v/multiplying-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rationalizing Denominators with Conjugates thumb=https://i.ytimg.com/vi/ENIUcjdPO54/default.jpg URL=http://www.youtube.com/watch?v=ENIUcjdPO54 description=u16_l2_t4_we2 Rationalizing Denominators with Conjugates/description type=video name=Rationalizing denominators of expressions | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Z3db5itCIiQ/default.jpg URL=http://www.youtube.com/watch?v=Z3db5itCIiQ description=Rationalizing Denominators of Expressions Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/solving-rational-equations/v/ex-1-multi-step-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/rational_expressions/v/adding-and-subtracting-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting and simplifying radicals | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/qH4IQfDD1Nw/default.jpg URL=http://www.youtube.com/watch?v=qH4IQfDD1Nw description=Subtracting and Simplifying Radicals Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/adding-and-simplifying-radicals?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/radical-expressions-with-higher-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and simplifying radicals | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/egNq4tSfi1I/default.jpg URL=http://www.youtube.com/watch?v=egNq4tSfi1I description=Adding and Simplifying Radicals Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/e/adding_and_subtracting_radicals?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/multiply-and-simplify-a-radical-expression-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/subtracting-and-simplifying-radicals?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying cube root expressions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/GEeKOeGHddY/default.jpg URL=http://www.youtube.com/watch?v=GEeKOeGHddY description=Multiply and Simply a Radical Expression Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/simplifying-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/radical-equivalent-to-rational-exponents-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiply and simplify a radical expression 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/sBvRJUwXJPo/default.jpg URL=http://www.youtube.com/watch?v=sBvRJUwXJPo description=Multiply and Simply a Radical Expression Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/simplifying-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/adding-and-simplifying-radicals?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=NPR Story on KA Los Altos Pilots (June 2011) thumb=https://i.ytimg.com/vi/VGxGrEnWVsg/default.jpg URL=http://www.youtube.com/watch?v=VGxGrEnWVsg description=NPR All Things Considered story on Khan Academy Los Altos pilots More free lessons at: http://www.khanacademy.org/video?v=VGxGrEnWVsg/description type=video name=Radical equivalent to rational exponents 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/zlRKO21qEpQ/default.jpg URL=http://www.youtube.com/watch?v=zlRKO21qEpQ description=Radical Equivalent to Rational Exponents 2 Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/multiply-and-simplify-a-radical-expression-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/radical-equivalent-to-rational-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More rational exponents and exponent laws | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/rco7DMcy-oE/default.jpg URL=http://www.youtube.com/watch?v=rco7DMcy-oE description=More Rational Exponents and Exponent Laws Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/simplifying-expressions-with-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-7?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying cube root expressions (two variables) | Exponent expressions | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/NuccqpiUHrk/default.jpg URL=http://www.youtube.com/watch?v=NuccqpiUHrk description=Rational Exponents and Exponent Laws Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/more-rational-exponents-and-exponent-laws?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponent-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radical equivalent to rational exponents | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/jO4wOQQiVZg/default.jpg URL=http://www.youtube.com/watch?v=jO4wOQQiVZg description=Radical Equivalent to Rational Exponents Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/radical-equivalent-to-rational-exponents-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/more-rational-exponents-and-exponent-laws?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying cube roots | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/c-wtvEdEoVs/default.jpg URL=http://www.youtube.com/watch?v=c-wtvEdEoVs description=Simplifying Cube Roots Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/how-to-rationalize-a-denominator?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/multiply-and-simplify-a-radical-expression-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cube root of a negative number (example) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/DKh16Th8x6o/default.jpg URL=http://www.youtube.com/watch?v=DKh16Th8x6o description=Learn how to find the cube root of -512. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/e/cube_roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/v/simplifying-cube-roots-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/more-simplifying-radical-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying square roots comment response | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/qFFhdLlX220/default.jpg URL=http://www.youtube.com/watch?v=qFFhdLlX220 description=Thinking about the domain of the expression to determine if we need the absolute value sign Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/radical-expressions-with-higher-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/simplifying-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying square roots | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/uggD8mwglyc/default.jpg URL=http://www.youtube.com/watch?v=uggD8mwglyc description=Simplifying Square Roots Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/e/simplifying_radicals?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/simplifying-square-roots-comment-response?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/multiply-and-simplify-a-radical-expression-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Approximating square roots to hundredths | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/EFVrAk61xjE/default.jpg URL=http://www.youtube.com/watch?v=EFVrAk61xjE description=Learn how to approximate the decimal value of √45 without using a calculator. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/square_roots_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/simplifying-square-roots-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/understanding-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Joint Variation Application thumb=https://i.ytimg.com/vi/5SXN3gdF3CM/default.jpg URL=http://www.youtube.com/watch?v=5SXN3gdF3CM description=u15_l3_t1_we6 Joint Variation Application/description type=video name=Inverse variation application | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/lkP-E2LUnjA/default.jpg URL=http://www.youtube.com/watch?v=lkP-E2LUnjA description=Inverse Variation Application Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-inverse-and-joint-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-variation-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Direct inverse and joint variation | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/v-k5L0BPOmc/default.jpg URL=http://www.youtube.com/watch?v=v-k5L0BPOmc description=Direct Inverse and Joint Variation Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-variation-application?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/inverse-variation-application?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another Take on the Rate Problem thumb=https://i.ytimg.com/vi/hAy_bavEVCQ/default.jpg URL=http://www.youtube.com/watch?v=hAy_bavEVCQ description=u15_l2_t1_we3 Another Take on the Rate Problem More free lessons at: http://www.khanacademy.org/video?v=hAy_bavEVCQ Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Direct variation application | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ZsjfUUJUq9s/default.jpg URL=http://www.youtube.com/watch?v=ZsjfUUJUq9s description=Direct Variation Application Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/exponential-growth-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-inverse-and-joint-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proportionality constant for direct variation | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/c6-FJRda_Vc/default.jpg URL=http://www.youtube.com/watch?v=c6-FJRda_Vc description=Proportionality Constant for Direct Variation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/e/direct_and_inverse_variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-variation-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/recognizing-direct-and-inverse-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and subtracting rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/y_DweTAEYWk/default.jpg URL=http://www.youtube.com/watch?v=y_DweTAEYWk description=Adding and Subtracting Rational Expressions Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rate Problem Involving Rational Equations thumb=https://i.ytimg.com/vi/rX8ZBP3nXvI/default.jpg URL=http://www.youtube.com/watch?v=rX8ZBP3nXvI description=u15_l2_t1_we3 Rate Problem Involving Rational Equations/description type=video name=Solving for a variable | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/fnuIT7EhAvs/default.jpg URL=http://www.youtube.com/watch?v=fnuIT7EhAvs description=Solving for a Variable Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/e/solving_for_a_variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/solving-for-a-variable-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/rearrange-formulas-to-isolate-specific-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complicated Rational Expressions thumb=https://i.ytimg.com/vi/ALO87_KDoTs/default.jpg URL=http://www.youtube.com/watch?v=ALO87_KDoTs description=u15_l1_t4_we1 Complicated Rational Expressions/description type=video name=Extraneous solutions to rational equations | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/bml74_PsfwA/default.jpg URL=http://www.youtube.com/watch?v=bml74_PsfwA description=Extraneous Solutions to Rational Equations Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/rational-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-dividing-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rational equations | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/bRwJ-QCz9XU/default.jpg URL=http://www.youtube.com/watch?v=bRwJ-QCz9XU description=Rational Equations Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/solving-rational-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying first for subtracting rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/tmpa8Q240XY/default.jpg URL=http://www.youtube.com/watch?v=tmpa8Q240XY description=Simplifying First for Subtracting Rational Expressions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/rational_expressions/e/adding_and_subtracting_rational_expressions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/rational_expressions/v/adding-and-subtracting-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/rational_expressions/v/subtracting-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting rational expressions | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/YO_SwIKGMqQ/default.jpg URL=http://www.youtube.com/watch?v=YO_SwIKGMqQ description=Subtracting Rational Expressions Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/applying-rational-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/solving-rational-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebraic Expression Least Common Multiple thumb=https://i.ytimg.com/vi/MNeNHoCXoGU/default.jpg URL=http://www.youtube.com/watch?v=MNeNHoCXoGU description=u15_l1_t3_we1 Algebraic Expression Least Common Multiple Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Adding Rational Expressions thumb=https://i.ytimg.com/vi/jE0YCSo4qO8/default.jpg URL=http://www.youtube.com/watch?v=jE0YCSo4qO8 description=u15_l1_t3_we2 Adding Rational Expressions/description type=video name=Dividing and Simplifying Rational Expressions thumb=https://i.ytimg.com/vi/Olntk2qhqGs/default.jpg URL=http://www.youtube.com/watch?v=Olntk2qhqGs description=u15_l1_t2_we2 Dividing and Simplifying Rational Expressions/description type=video name=Multiplying and simplifying rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/x6FFjiHPlSI/default.jpg URL=http://www.youtube.com/watch?v=x6FFjiHPlSI description=Multiplying and Simplifying Rational Expressions Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-dividing-rational-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/applying-rational-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rational expressions example 2 | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/RXMSlFtJlEs/default.jpg URL=http://www.youtube.com/watch?v=RXMSlFtJlEs description=Simplifying Rational Expressions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/simplifying-rational-alg/e/simplifying_rational_expressions_3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/dividing-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/simplifying-rational-alg/v/simplifying-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain of a Rational Expression 1 thumb=https://i.ytimg.com/vi/PnGZz-GuKfw/default.jpg URL=http://www.youtube.com/watch?v=PnGZz-GuKfw description=u15_L1_T1_we1 Domain of a Rational Expression 1/description type=video name=Static and kinetic friction example | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ZA_D4O6l1lo/default.jpg URL=http://www.youtube.com/watch?v=ZA_D4O6l1lo description=Thinking about the coefficients of static and kinetic friction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/the-force-of-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/intuition-on-static-and-kinetic-friction-comparisons?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intuition on static and kinetic friction comparisons | Physics | Khan Academy thumb=https://i.ytimg.com/vi/J9BWNiOSGlc/default.jpg URL=http://www.youtube.com/watch?v=J9BWNiOSGlc description=Why static friction is harder to overcome than kinetic friction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/mild-and-medium-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/force-of-friction-keeping-velocity-constant?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Force of friction keeping velocity constant | Physics | Khan Academy thumb=https://i.ytimg.com/vi/iA7Thhnzc64/default.jpg URL=http://www.youtube.com/watch?v=iA7Thhnzc64 description=Calculating the coefficient of kinetic friction (correction made in next video). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/intuition-on-static-and-kinetic-friction-comparisons?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/correction-of-force-of-friction-keeping-the-block-stationary?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Correction to force of friction keeping the block stationary | Physics | Khan Academy thumb=https://i.ytimg.com/vi/BukTc4q9BMc/default.jpg URL=http://www.youtube.com/watch?v=BukTc4q9BMc description=Correction to Force of Friction Keeping the Block Stationary. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/force-of-friction-keeping-velocity-constant?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/force-of-friction-keeping-the-block-stationary?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Force of friction keeping the block stationary | Physics | Khan Academy thumb=https://i.ytimg.com/vi/v8ODIMqbQ44/default.jpg URL=http://www.youtube.com/watch?v=v8ODIMqbQ44 description=Block of wood kept stationary by the force of friction (Correction made in next video). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/correction-of-force-of-friction-keeping-the-block-stationary?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/ice-accelerating-down-an-incline?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ice accelerating down an incline | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Mz2nDXElcoM/default.jpg URL=http://www.youtube.com/watch?v=Mz2nDXElcoM description=Figuring out the acceleration of ice down a plane made of ice. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/force-of-friction-keeping-the-block-stationary?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/inclined-planes-friction/v/inclined-plane-force-components?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inclined plane force components | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/TC23wD34C7k/default.jpg URL=http://www.youtube.com/watch?v=TC23wD34C7k description=Figuring out the components of the force due to gravity that are parallel and perpendicular to the surface of an inclined plane. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/lubricon-vi/v/normal-forces-on-lubricon-vi?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/lubricon-vi/v/slow-sock-on-lubricon-vi?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Normal force in an elevator | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/hoRsHNSrMpc/default.jpg URL=http://www.youtube.com/watch?v=hoRsHNSrMpc description=How the normal force changes when an elevator accelerates. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/normal-contact-force/v/more-on-normal-force-shoe-on-floor?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/normal-contact-force/v/normal-force-and-contact-force?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Normal force and contact force | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/1WOrgrIcQZU/default.jpg URL=http://www.youtube.com/watch?v=1WOrgrIcQZU description=The force that keeps a block of ice from falling towards the center of the earth. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/normal-contact-force/v/normal-force-in-an-elevator?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-third-law-of-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit vectors and engineering notation | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/2QjdcVTgTTA/default.jpg URL=http://www.youtube.com/watch?v=2QjdcVTgTTA description=Using unit vectors to represent the components of a vector. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/projectile-on-an-incline?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ideal Math and Science Class Time thumb=https://i.ytimg.com/vi/AkSGR_oj0rg/default.jpg URL=http://www.youtube.com/watch?v=AkSGR_oj0rg description=A short sample of projects that Sal and Aragon used alongside the Khan Academy core software and videos. These are the types of projects that can be done if less time class time is devoted to traditional lecturing/description type=video name=Correction to total final velocity for projectile | Physics | Khan Academy thumb=https://i.ytimg.com/vi/DNoDJlB0ygU/default.jpg URL=http://www.youtube.com/watch?v=DNoDJlB0ygU description=Correction to "Total Final Velocity for Projectile" Video. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/projectile-on-an-incline?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/total-final-velocity-for-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile on an incline | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/jNESnky3RVg/default.jpg URL=http://www.youtube.com/watch?v=jNESnky3RVg description=Challenging problem of a projectile on an inclined plane. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vectors-and-engineering-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/correction-to-total-final-velocity-for-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total final velocity for projectile | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/sTp4cI9VyCU/default.jpg URL=http://www.youtube.com/watch?v=sTp4cI9VyCU description=Calculating the total final velocity for a projectile landing at a different altitude (mistake near end: I write 29.03 when it should be 26.03 m/s and the final total magnitude should be 26.55 m/s 78.7 degrees below horizontal. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/correction-to-total-final-velocity-for-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/total-displacement-for-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total displacement for projectile | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/UXORCpvKYiI/default.jpg URL=http://www.youtube.com/watch?v=UXORCpvKYiI description=Reconstructing the total displacement vector for a projectile. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/total-final-velocity-for-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/launching-and-landing-on-different-elevations?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Launching and landing on different elevations | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/a5QnXi_lZII/default.jpg URL=http://www.youtube.com/watch?v=a5QnXi_lZII description=More complicated example involving launching and landing at different elevations. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/total-displacement-for-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/horizontally-launched-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Different way to determine time in air | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/_NWc3C3cTNA/default.jpg URL=http://www.youtube.com/watch?v=_NWc3C3cTNA description=Another way to determine time in the air given an initial vertical velocity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/horizontally-launched-projectile?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/projectile-at-an-angle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile at an angle | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ZZ39o1rAZWY/default.jpg URL=http://www.youtube.com/watch?v=ZZ39o1rAZWY description=Figuring out the horizontal displacement for a projectile launched at an angle. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/different-way-to-determine-time-in-air?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/visualizing-vectors-in-2-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing vectors in 2 dimensions | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/xp6ibuI8UuQ/default.jpg URL=http://www.youtube.com/watch?v=xp6ibuI8UuQ description=Visualizing, adding and breaking down vectors in 2 dimensions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/projectile-at-an-angle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Impact velocity from given height | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/2ZgBJxT9pbU/default.jpg URL=http://www.youtube.com/watch?v=2ZgBJxT9pbU description=Determining how fast something will be traveling upon impact when it is released from a given height. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/viewing-g-as-the-value-of-earth-s-gravitational-field-near-the-surface?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/deriving-max-projectile-displacement-given-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deriving max projectile displacement given time | Physics | Khan Academy thumb=https://i.ytimg.com/vi/P7LKEkcNibo/default.jpg URL=http://www.youtube.com/watch?v=P7LKEkcNibo description=Deriving a formula for maximum projectile displacement as a function of elapsed time. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/impact-velocity-from-given-height?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/projectile-height-given-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile height given time | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/IYS4Bd9F3LA/default.jpg URL=http://www.youtube.com/watch?v=IYS4Bd9F3LA description=Figuring out how high a ball gets given how long it spends in the air. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/deriving-max-projectile-displacement-given-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/plotting-projectile-displacement-acceleration-and-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plotting projectile displacement, acceleration, and velocity | Khan Academy thumb=https://i.ytimg.com/vi/T0zpF_j7Mvo/default.jpg URL=http://www.youtube.com/watch?v=T0zpF_j7Mvo description=Plotting projectile displacement, acceleration, and velocity as a function to change in time. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/projectile-height-given-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/deriving-displacement-as-a-function-of-time-acceleration-and-initial-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deriving displacement as a function of time, acceleration, and initial velocity | Khan Academy thumb=https://i.ytimg.com/vi/wlB0x9W-qBU/default.jpg URL=http://www.youtube.com/watch?v=wlB0x9W-qBU description=Deriving displacement as a function of time, constant acceleration and initial velocity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/plotting-projectile-displacement-acceleration-and-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/acceleration-of-aircraft-carrier-takeoff?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Would a brick or feather fall faster? | Physics | Khan Academy thumb=https://i.ytimg.com/vi/36Rym2q4H94/default.jpg URL=http://www.youtube.com/watch?v=36Rym2q4H94 description=What would fall faster on the moon? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/acceleration-due-to-gravity-at-the-space-station?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/gravity-for-astronauts-in-orbit?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mass and weight clarification | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/IuBoeDihLUc/default.jpg URL=http://www.youtube.com/watch?v=IuBoeDihLUc description=Difference between mass and weight. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/gravity-for-astronauts-in-orbit?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/introduction-to-gravity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newton's third law of motion | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/By-ggTfeuJU/default.jpg URL=http://www.youtube.com/watch?v=By-ggTfeuJU description=Every action has an equal and opposite reaction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/more-on-newtons-third-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/more-on-newtons-second-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newton's second law of motion | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ou9YMWlJgkE/default.jpg URL=http://www.youtube.com/watch?v=ou9YMWlJgkE description=Newton's Second Law of Motion: F=ma. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/more-on-newtons-second-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-first-law-of-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on Newton's first law of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/CQYELiTtUs8/default.jpg URL=http://www.youtube.com/watch?v=CQYELiTtUs8 description=Newton's First Law (Galileo's Law of Inertia). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-second-law-of-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-first-law-of-motion-concepts?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acceleration of aircraft carrier take-off | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/VYgSXBjEA8I/default.jpg URL=http://www.youtube.com/watch?v=VYgSXBjEA8I description=Using what we know about take-off velocity and runway length to determine acceleration. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/deriving-displacement-as-a-function-of-time-acceleration-and-initial-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/average-velocity-for-constant-acceleration?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Airbus A380 take-off distance | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/fQt69_Q2CTw/default.jpg URL=http://www.youtube.com/watch?v=fQt69_Q2CTw description=How long of a runway does an A380 need? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/why-distance-is-area-under-velocity-time-line?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/airbus-a380-take-off-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Average velocity for constant acceleration | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/MAS6mBRZZXA/default.jpg URL=http://www.youtube.com/watch?v=MAS6mBRZZXA description=Calculating average velocity when acceleration is constant. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/acceleration-of-aircraft-carrier-takeoff?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/acceleration-vs-time-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why distance is area under velocity-time line | Physics | Khan Academy thumb=https://i.ytimg.com/vi/d-_eqgj5-K8/default.jpg URL=http://www.youtube.com/watch?v=d-_eqgj5-K8 description=How long of a runway does an A380 need? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/why-distance-is-area-under-velocity-time-line?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/airbus-a380-take-off-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Airbus A380 take-off time | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/p4DTormtEG0/default.jpg URL=http://www.youtube.com/watch?v=p4DTormtEG0 description=Figuring how long it takes an a380 to take off given a constant acceleration. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/airbus-a380-take-off-distance?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/acceleration?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Race cars with constant speed around curve | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ITA1rW5UraU/default.jpg URL=http://www.youtube.com/watch?v=ITA1rW5UraU description=When acceleration could involve a change in direction and not speed. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-acceleration-tutoria/v/centripetal-force-and-acceleration-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/treating-systems/v/masses-on-incline-system-problem?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acceleration | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/FOkQszg1-j8/default.jpg URL=http://www.youtube.com/watch?v=FOkQszg1-j8 description=Calculating the acceleration of a Porsche. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/acceleration-tutorial/v/airbus-a380-take-off-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/position-vs-time-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gravity for astronauts in orbit | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/oIZV-ixRTcY/default.jpg URL=http://www.youtube.com/watch?v=oIZV-ixRTcY description=Why do astronauts appear weightless despite being near the Earth? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/would-a-brick-or-feather-fall-faster?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/mass-and-weight-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to gravity | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Xcel427Ezl0/default.jpg URL=http://www.youtube.com/watch?v=Xcel427Ezl0 description=Basics of gravity and the Law of Universal Gravitation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/mass-and-weight-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/centripetal-forces/v/mass-swinging-in-a-horizontal-circle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Displacement from time and velocity example | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/lQ-dvt3V4yQ/default.jpg URL=http://www.youtube.com/watch?v=lQ-dvt3V4yQ description=Worked example of calculating displacement from time and velocity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/instantaneous-speed-and-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/solving-for-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving for time | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/awzOvyMKeMA/default.jpg URL=http://www.youtube.com/watch?v=awzOvyMKeMA description=Simple example of solving for time given distance and rate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/displacement-from-time-and-velocity-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/calculating-average-velocity-or-speed?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating average velocity or speed | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/oRKxmXwLvUU/default.jpg URL=http://www.youtube.com/watch?v=oRKxmXwLvUU description=Example of calculating speed and velocity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/solving-for-time?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/introduction-to-vectors-and-scalars?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to vectors & scalars | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ihNZlp7iUHE/default.jpg URL=http://www.youtube.com/watch?v=ihNZlp7iUHE description=Distance, displacement, speed and velocity. Difference between vectors and scalars. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/calculating-average-velocity-or-speed?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/displacement-velocity-time/v/introduction-to-physics?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Development of agriculture and writing | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/iU58AIjh3YA/default.jpg URL=http://www.youtube.com/watch?v=iU58AIjh3YA description=The Paleolithic and Neolithic eras of the Stone Age. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/firestick-farming?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/correction-calendar-notation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mortgage Interest Rates | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/vy_pvstdBhg/default.jpg URL=http://www.youtube.com/watch?v=vy_pvstdBhg description=Understanding how mortgage interest rates are quoted. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/short-sale-basics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/introduction-to-mortgage-loans?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Time value of money | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/733mgqrzNKs/default.jpg URL=http://www.youtube.com/watch?v=733mgqrzNKs description=Why when you get your money matters as much as how much money. Present and future value also discussed. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/introduction-to-present-value?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/continuously-compounding-interest-formula-e?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today? A reasonable argument can be made that most everything in finance really boils down to "present value". So pay attention to this tutorial. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflation Overview | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/-Z5kkfrEc8I/default.jpg URL=http://www.youtube.com/watch?v=-Z5kkfrEc8I description=Basic understanding of Inflation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial/v/what-is-inflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: $1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then). Why? And how do we measure how much more expensive things have gotten (i.e., inflation)? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Human capital | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ivy1QmWUtQI/default.jpg URL=http://www.youtube.com/watch?v=ivy1QmWUtQI description=Basic overview of capital and human capital. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/return-on-capital?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/risk-and-reward-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Risk and reward introduction | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/mv5zucjq60k/default.jpg URL=http://www.youtube.com/watch?v=mv5zucjq60k description=Basic introduction to risk and reward. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/human-capital?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-strategies-merger-arbitrage-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estate tax introduction | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/eElHlE4j-vw/default.jpg URL=http://www.youtube.com/watch?v=eElHlE4j-vw description=Overview of the estate tax. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/tax-brackets-and-progressive-taxation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/alternative-minimum-tax?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy \/description type=video name=Contango from trader perspective | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/C3KlN5kTWAs/default.jpg URL=http://www.youtube.com/watch?v=C3KlN5kTWAs description=What a trader means when they say that a market is in contango. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/severe-contango-generally-bearish?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-and-forward-curves?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Severe contango generally bearish | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/hYzN0w8FatU/default.jpg URL=http://www.youtube.com/watch?v=hYzN0w8FatU description=Thinking about why a severe contango could be bearish. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/backwardation-bullish-or-bearish?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/contango-from-trader-perspective?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Appomattox Court House and Lincoln's Assassination thumb=https://i.ytimg.com/vi/Frpq_A7Ky_Q/default.jpg URL=http://www.youtube.com/watch?v=Frpq_A7Ky_Q description=From Lee's Surrender to Grant to Lincoln's Assassination More free lessons at: http://www.khanacademy.org/video?v=Frpq_A7Ky_Q/description type=video name=Backwardation bullish or bearish | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/1CxRVVGGNJU/default.jpg URL=http://www.youtube.com/watch?v=1CxRVVGGNJU description=Thinking about why backwardation in commodities markets is bullish. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-curves-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/severe-contango-generally-bearish?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy on California Report (June 2011) thumb=https://i.ytimg.com/vi/rpPbt8EOf00/default.jpg URL=http://www.youtube.com/watch?v=rpPbt8EOf00 description=Khan Academy on California Report (June 2011)/description type=video name=Salman Khan at TiEcon 2011 thumb=https://i.ytimg.com/vi/JZ-v4_3Zf4c/default.jpg URL=http://www.youtube.com/watch?v=JZ-v4_3Zf4c description=Talk and Q&A (with Raj Mithai)/description type=video name=Correction calendar notation | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/N06Jy-gQog8/default.jpg URL=http://www.youtube.com/watch?v=N06Jy-gQog8 description=Correcting the time difference calculation by taking into account that there is no year 0. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/development-of-agriculture-and-writing?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/understanding-calendar-notation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy on Perry's Principles (6/2/2011) thumb=https://i.ytimg.com/vi/7w3DHilPtI4/default.jpg URL=http://www.youtube.com/watch?v=7w3DHilPtI4 description=Khan Academy on Perry's Principles/description type=video name=May 29th, 2011 CNN Piece thumb=https://i.ytimg.com/vi/DvyAc6PNbVo/default.jpg URL=http://www.youtube.com/watch?v=DvyAc6PNbVo description=Follow up CNN piece to Dan Simon's story on the Khan Academy from last year/description type=video name=Understanding calendar notation | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/EKKe7DBZVhI/default.jpg URL=http://www.youtube.com/watch?v=EKKe7DBZVhI description=Difference between BC, BCE, AD and CE. A little bit about the birth of Jesus as well. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/correction-calendar-notation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/human-evolution-overview?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Human evolution overview | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/frE1rjhH77Y/default.jpg URL=http://www.youtube.com/watch?v=frE1rjhH77Y description=An overview of human evolution. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/understanding-calendar-notation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/first-living-things-on-land-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=US and Japanese Quantitative Easing thumb=https://i.ytimg.com/vi/a-R8qpea6lc/default.jpg URL=http://www.youtube.com/watch?v=a-R8qpea6lc description=Comparing quantitative easing in Japan to "credit easing" in the United States More free lessons at: http://www.khanacademy.org/video?v=a-R8qpea6lc/description type=video name=Another Quantitative Easing Video thumb=https://i.ytimg.com/vi/Lmd_CDwBXFs/default.jpg URL=http://www.youtube.com/watch?v=Lmd_CDwBXFs description=More on quantitative easing More free lessons at: http://www.khanacademy.org/video?v=Lmd_CDwBXFs/description type=video name=AMT overview | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/T0CwhLHrE2k/default.jpg URL=http://www.youtube.com/watch?v=T0CwhLHrE2k description=Overview of what the Alternative Minimum Tax is and its purpose. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/alternative-minimum-tax?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/tax-deductions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Open market operations and Quantitative Easing Overview thumb=https://i.ytimg.com/vi/TpLlJ8-AnQM/default.jpg URL=http://www.youtube.com/watch?v=TpLlJ8-AnQM description=Basic difference between traditional open market operations and quantitative easing. More free lessons at: http://www.khanacademy.org/video?v=TpLlJ8-AnQM/description type=video name=Salman Khan on Marketplace (NPR) on 5-24-2011 thumb=https://i.ytimg.com/vi/uMjyAp3cs3c/default.jpg URL=http://www.youtube.com/watch?v=uMjyAp3cs3c description=Salman Khan on Marketplace (NPR) on 5-24-2011/description type=video name=Detectable civilizations in our galaxy 5 | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/xL9ejqb53ms/default.jpg URL=http://www.youtube.com/watch?v=xL9ejqb53ms description=Apsidal Precession (Perihelion Precession). Created by Sal Khan. This is the last video in our Cosmology and Astronom subject! Now move on to our first video in Computing: https://www.khanacademy.org/computing/computer-programming/programming/intro-to-programming/v/programming-intro=Computing Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-4?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dependent probability example 2 | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/7BkcNLOf56w/default.jpg URL=http://www.youtube.com/watch?v=7BkcNLOf56w description=It's important to practice these probability problems as they get more complex eventually. Take a stab on this one...with our help, of course. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/e/identifying-dependent-and-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/independent-events-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/dependent-probability-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dependent probability example | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/xPUm5SUVzTE/default.jpg URL=http://www.youtube.com/watch?v=xPUm5SUVzTE description=We're thinking about how the probability of an event can be dependent on another event occuring in this example problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/e/identifying-dependent-and-independent-events?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/dependent-probability-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/dependent_probability/v/introduction-to-dependent-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Detectable civilizations in our galaxy 4 | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/T5DGZIsfK-0/default.jpg URL=http://www.youtube.com/watch?v=T5DGZIsfK-0 description=Taking a shot at estimating the number of detectable civilizations. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-5?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-3?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Detectable civilizations in our galaxy 3 | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/LRmwUsxNSL0/default.jpg URL=http://www.youtube.com/watch?v=LRmwUsxNSL0 description=Reconciling with the traditional Drake Equation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-4?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-2?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Detectable civilizations in our galaxy 2 | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/jN03g05TSWM/default.jpg URL=http://www.youtube.com/watch?v=jN03g05TSWM description=Why do we even care about the Drake Equation. Thinking about the fraction of a planet's life when a civilization might be detectable. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-3?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-1?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Detectable civilizations in our galaxy 1 | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/YYEgq1bweN4/default.jpg URL=http://www.youtube.com/watch?v=YYEgq1bweN4 description=A framework for thinking about how many detectable civilizations are out there. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/life-in-universe-topic/v/detectable-civilizations-in-our-galaxy-2?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/k-ar-dating-calculation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scale of the small | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/ERKx3Oa2omo/default.jpg URL=http://www.youtube.com/watch?v=ERKx3Oa2omo description=From honey bees to cells, viruses, and atoms -- understanding the scale of the very small. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-earth-and-sun?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-the-large?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to limits | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/riXcZT2ICjA/default.jpg URL=http://www.youtube.com/watch?v=riXcZT2ICjA description=Introduction to limits Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits_tutorial/v/limit-by-analyzing-numerical-data?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing Taylor polynomial approximations | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/AFMXixBVP-0/default.jpg URL=http://www.youtube.com/watch?v=AFMXixBVP-0 description=Approximating e_ with a Taylor polynomial centered at x=3. In the video we find the first few terms of such a polynomial and graph it to see how close it gets to e_. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/evaluating-taylor-polynomial-of-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/lagrange-error-bound-exponential-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taylor & Maclaurin polynomials intro (part 2) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/1LxhXqD3_CE/default.jpg URL=http://www.youtube.com/watch?v=1LxhXqD3_CE description=Taylor & Maclaurin polynomials are a very clever way of approximating any function with a polynomial. In this video we come up with the general formula for the nth term in a Taylor polynomial. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/e/finding-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/maclaurin-polynomial-example?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/maclauren-and-taylor-series-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing Taylor series approximations | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/8dMLK2Wueaw/default.jpg URL=http://www.youtube.com/watch?v=8dMLK2Wueaw description=The larger the degree of a Taylor polynomial, the better it approximates the function. See that in action with sin(x) and its Taylor polynomials. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series/v/function-as-a-geometric-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/recognizing-function-from-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Euler's formula & Euler's identity | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/mgNtPOgFje0/default.jpg URL=http://www.youtube.com/watch?v=mgNtPOgFje0 description=Euler's formula is e__=cos(x)+i_sin(x), and Euler's Identity is e^(i¹)+1=0. See how these are obtained from the Maclaurin series of cos(x), sin(x), and e_. This is one of the most amazing things in all of mathematics! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/maclaurin-series-based-on-cos-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/taylor-series-at-0-maclaurin-for-e-to-the-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Maclaurin series of e_ | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/JYQqml4-4q4/default.jpg URL=http://www.youtube.com/watch?v=JYQqml4-4q4 description=Approximating e_ with a Maclaurin series (which is like a Taylor polynomial centered at x=0 with infinitely many terms). It turns out that this series is exactly the same as the function itself! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/euler-s-formula-and-euler-s-identity?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/sine-taylor-series-at-0-maclaurin?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Maclaurin series of sin(x) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/LlKvubIqHc8/default.jpg URL=http://www.youtube.com/watch?v=LlKvubIqHc8 description=Approximating sin(x) with a Maclaurin series (which is like a Taylor polynomial centered at x=0 with infinitely many terms). It turns out that this series is exactly the same as the function itself! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/taylor-series-at-0-maclaurin-for-e-to-the-x?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/cosine-taylor-series-at-0-maclaurin?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Maclaurin series of cos(x) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/WWe7pZjc4s8/default.jpg URL=http://www.youtube.com/watch?v=WWe7pZjc4s8 description=Approximating cos(x) with a Maclaurin series (which is like a Taylor polynomial centered at x=0 with infinitely many terms). It turns out that this series is exactly the same as the function itself! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-maclaurin-series/v/sine-taylor-series-at-0-maclaurin?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/evaluating-taylor-polynomial-of-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taylor & Maclaurin polynomials intro (part 1) | Series | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/epgwuzzDHsQ/default.jpg URL=http://www.youtube.com/watch?v=epgwuzzDHsQ description=Taylor & Maclaurin polynomials are a very clever way of approximating any function with a polynomial. Learn how these polynomials work. Created by Sal Khan. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/e/finding-taylor-series?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-taylor-series/v/generalized-taylor-series-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-power-series-intro/v/interval-of-convergence-for-derivative-and-integral?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scale of the large | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/5FEjrStgcF8/default.jpg URL=http://www.youtube.com/watch?v=5FEjrStgcF8 description=Attempting to comprehend the scale of the large. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-the-small?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Corporate debt versus traditional mortgages | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/rD25slnTqAE/default.jpg URL=http://www.youtube.com/watch?v=rD25slnTqAE description=Understanding how most corporate debt is different than most personal mortgages. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/introduction-to-bonds?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/leveraged-buy-outs/v/basic-leveraged-buyout-lbo?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan on Big Think thumb=https://i.ytimg.com/vi/h8GfMq4-K6g/default.jpg URL=http://www.youtube.com/watch?v=h8GfMq4-K6g description=Part of Sal's interview on Big Think/description type=video name=Basic leveraged buyout (LBO) | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/LVMLs2z1JYg/default.jpg URL=http://www.youtube.com/watch?v=LVMLs2z1JYg description=The mechanics of a simple leveraged buy-out. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/corporate-debt-versus-traditional-mortgages?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions/v/simple-merger-arb-with-share-acquisition?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Private equity firms often borrow money (use leverage) to buy companies. This tutorial explains how they do it and pay the debt. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple merger arbitrage with share acquisition | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/CzDA0WCdWHQ/default.jpg URL=http://www.youtube.com/watch?v=CzDA0WCdWHQ description=Showing how a merger arbitrage player might act if they were sure that a transaction would go through. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/leveraged-buy-outs/v/basic-leveraged-buyout-lbo?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions/v/price-behavior-after-announced-acquisition?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Companies often buy or merge with other companies using shares (which is sometimes less intuitive than when they use cash). This tutorial walks through the mechanics of how this happens and details what is likely to happen in the public markets because of the transaction (including opportunities for arbitrage). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acquisitions with shares | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/DMd9mTyzj6k/default.jpg URL=http://www.youtube.com/watch?v=DMd9mTyzj6k description=Mechanics of a share-based acquisition. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions/v/price-behavior-after-announced-acquisition?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/dilution-tutorial/v/stock-dilution?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Companies often buy or merge with other companies using shares (which is sometimes less intuitive than when they use cash). This tutorial walks through the mechanics of how this happens and details what is likely to happen in the public markets because of the transaction (including opportunities for arbitrage). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Price behavior after announced acquisition | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/7zBqVOuEKYE/default.jpg URL=http://www.youtube.com/watch?v=7zBqVOuEKYE description=Stock Price Behavior After Announced Acquisition with Shares. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions/v/simple-merger-arb-with-share-acquisition?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions/v/acquisitions-with-shares?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Companies often buy or merge with other companies using shares (which is sometimes less intuitive than when they use cash). This tutorial walks through the mechanics of how this happens and details what is likely to happen in the public markets because of the transaction (including opportunities for arbitrage). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stock dilution | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/tjQzJ7GY0GY/default.jpg URL=http://www.youtube.com/watch?v=tjQzJ7GY0GY description=Why the value per share does not really get diluted when more shares are issued in a secondary offering. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/mergers-acquisitions/v/acquisitions-with-shares?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/chapter-11-bankruptcy-restructuring?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When companies issue new shares, many people consider this a share "dilution"--implying that the value of each share has been "watered down" a bit. This tutorial walks through the mechanics and why--assuming management isn't doing something stupid--the shares might not be diluted at all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Prime numbers | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/mIStB5X4U8M/default.jpg URL=http://www.youtube.com/watch?v=mIStB5X4U8M description=What does it mean to be a prime number? Let's progress though some whole numbers and ask ourselves if they meet the criteria. What is the criteria you ask? Watch. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/e/prime_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/v/recognizing-prime-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/divisibility-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hedge fund strategies: Merger arbitrage 1 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/3qP8OOr7pfI/default.jpg URL=http://www.youtube.com/watch?v=3qP8OOr7pfI description=Simple case of merger arbitrage when there is an all cash acquisition. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/risk-and-reward-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-strategies-long-short-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. They are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from "unsophisticated" investors. Some use their flexibility to mitigate risk, other use it to amplify it. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hedge fund strategies: Long short 1 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/nTco9qQ2elM/default.jpg URL=http://www.youtube.com/watch?v=nTco9qQ2elM description=Setting up a simple long-short hedge (assuming the companies have similar beta or correlation with market). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-strategies-long-short-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-funds-venture-capital-and-private-equity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. They are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from "unsophisticated" investors. Some use their flexibility to mitigate risk, other use it to amplify it. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hedge fund strategies: Long short 2 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/5UUa0V-MAqI/default.jpg URL=http://www.youtube.com/watch?v=5UUa0V-MAqI description=Seeing how the long-short portfolio might do in different market conditions (assuming that the underlying thesis is right). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-strategies-merger-arbitrage-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-strategies-long-short-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. They are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from "unsophisticated" investors. Some use their flexibility to mitigate risk, other use it to amplify it. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on Quantitative Easing (and Credit Easing) thumb=https://i.ytimg.com/vi/ZrKw-SLzNrw/default.jpg URL=http://www.youtube.com/watch?v=ZrKw-SLzNrw description=Understanding the difference between quantitative easing in Japan and the United States More free lessons at: http://www.khanacademy.org/video?v=ZrKw-SLzNrw/description type=video name=Treasury bond prices and yields | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/mS7t91U9Qqg/default.jpg URL=http://www.youtube.com/watch?v=mS7t91U9Qqg description=Why yields go down when prices go up. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/annual-interest-varying-with-debt-maturity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/relationship-between-bond-prices-and-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quantitative easing | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/kc_HjPT4NKo/default.jpg URL=http://www.youtube.com/watch?v=kc_HjPT4NKo description=Overview of quantitative easing. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/federal-reserve/v/more-on-quantitative-easing-and-credit-easing?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/federal-reserve/v/fed-open-market-operations?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: You know that the Federal Reserve (or central banks in general) controls the money supply and short-term interest rates. But how exactly do they do this. Even more, how is "quantitative easing" different than regular open market operations. This tutorial explains it all in the context of the Federal Reserves attempts to stave off deflation during the 2008-2012 recession. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Annual Interest Varying with Debt Maturity thumb=https://i.ytimg.com/vi/YdGZaqJZbGc/default.jpg URL=http://www.youtube.com/watch?v=YdGZaqJZbGc description=Annual Interest Varying with Debt Maturity More free lessons at: http://www.khanacademy.org/video?v=YdGZaqJZbGc/description type=video name=Fed Open Market Operations thumb=https://i.ytimg.com/vi/wDuCOxDxMzY/default.jpg URL=http://www.youtube.com/watch?v=wDuCOxDxMzY description=Fed Open Market Operations More free lessons at: http://www.khanacademy.org/video?v=wDuCOxDxMzY/description type=video name=The yield curve | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/SwB9Fq5VRZY/default.jpg URL=http://www.youtube.com/watch?v=SwB9Fq5VRZY description=Annual Interest Varying with Debt Maturity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/corp-bankruptcy-tutorial/v/chapter-7-bankruptcy-liquidation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/annual-interest-varying-with-debt-maturity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Time Differences in Different Time Zones thumb=https://i.ytimg.com/vi/2r1naFxn46w/default.jpg URL=http://www.youtube.com/watch?v=2r1naFxn46w description=Calculating flight times across time zones/description type=video name=Time Differences 1 thumb=https://i.ytimg.com/vi/SnkUkc23YC0/default.jpg URL=http://www.youtube.com/watch?v=SnkUkc23YC0 description=Finding how long passes between two times/description type=video name=Allende and Pinochet in Chile | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/Um92GZLCQ_Q/default.jpg URL=http://www.youtube.com/watch?v=Um92GZLCQ_Q description=Outline of the 1973 Allende Coup in Chile and Pinochet's Junta (this video under CC-BY-SA). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/pattern-of-us-cold-war-interventions?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/vietnam-war?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pattern of US Cold War interventions | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/aNkrawaaiZQ/default.jpg URL=http://www.youtube.com/watch?v=aNkrawaaiZQ description=Comparing the patterns of Korea, Cuba and Vietnam. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/allende-and-pinochet-in-chile?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=20th Century Capitalism and Regulation in the United States thumb=https://i.ytimg.com/vi/J33nVRyTeyU/default.jpg URL=http://www.youtube.com/watch?v=J33nVRyTeyU description=Overview of cycles of regulation, de-regulation and government in 20th century US capitalism More free lessons at: http://www.khanacademy.org/video?v=J33nVRyTeyU/description type=video name=When Capitalism is Great and Not-so-great thumb=https://i.ytimg.com/vi/8NJEeEUUhaI/default.jpg URL=http://www.youtube.com/watch?v=8NJEeEUUhaI description=Understanding when capitalism can potentially undermine innovation, competition and merit More free lessons at: http://www.khanacademy.org/video?v=8NJEeEUUhaI/description type=video name=Communism | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/MmRgMAZyYN0/default.jpg URL=http://www.youtube.com/watch?v=MmRgMAZyYN0 description=Overview of Communism and Marxist-Leninist states. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/korean-war-overview?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/wo/v/1945-end-of-world-war-ii?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Korean War overview | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/MEGyRgYJKEY/default.jpg URL=http://www.youtube.com/watch?v=MEGyRgYJKEY description=Sal talks about the origins and progress of the Korean War. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/bay-of-pigs-invasion?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/communism?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan on Charlie Rose thumb=https://i.ytimg.com/vi/fJFKE8kyz7w/default.jpg URL=http://www.youtube.com/watch?v=fJFKE8kyz7w description=Salman Khan on Charlie Rose on May 4, 2011/description type=video name=TEDxSanJoseCA - Salman Khan - (Sequel to talk at TED) thumb=https://i.ytimg.com/vi/pRevFhvu8yc/default.jpg URL=http://www.youtube.com/watch?v=pRevFhvu8yc description=Sequel to Sal's TED talk (TED talk should be watched before this one)/description type=video name=Bay of Pigs Invasion | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/XmkbAduMD_E/default.jpg URL=http://www.youtube.com/watch?v=XmkbAduMD_E description=Sal explains the Bay of Pigs Invasion. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/cuban-missile-crisis?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/korean-war-overview?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cuban Missile Crisis | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/VO40SpSBjbc/default.jpg URL=http://www.youtube.com/watch?v=VO40SpSBjbc description=Sal gives an overview of the Cuban Missile Crisis. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/vietnam-war?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/bay-of-pigs-invasion?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vietnam War | The 20th century | World history | Khan Academy thumb=https://i.ytimg.com/vi/9e9GWdT2pEQ/default.jpg URL=http://www.youtube.com/watch?v=9e9GWdT2pEQ description=Sal gives an overview of the Vietnam War. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/allende-and-pinochet-in-chile?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/cuban-missile-crisis?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=US History Overview 3 - WWII to Vietnam thumb=https://i.ytimg.com/vi/j2eKaxU-8kA/default.jpg URL=http://www.youtube.com/watch?v=j2eKaxU-8kA description=World War II, Hitler, Cold War, Bay of Pigs, Cuban Missile Crisis and the Space Race More free lessons at: http://www.khanacademy.org/video?v=j2eKaxU-8kA/description type=video name=US History Overview 2 - Reconstruction to the Great Depression thumb=https://i.ytimg.com/vi/zmBV87XA52Q/default.jpg URL=http://www.youtube.com/watch?v=zmBV87XA52Q description=Reconstruction to the Great Depression More free lessons at: http://www.khanacademy.org/video?v=zmBV87XA52Q/description type=video name=US History Overview 1: Jamestown to the Civil War thumb=https://i.ytimg.com/vi/ghgPq2wjQUQ/default.jpg URL=http://www.youtube.com/watch?v=ghgPq2wjQUQ description=Jamestown to the Civil War. Correction: Jamestown was the first successful ENGLISH settlement in what is now the United States. The Spanish actually settled St. Augustine, Florida in 1595. More free lessons at: http://www.khanacademy.org/video?v=ghgPq2wjQUQ About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Pure Numbers and Significant Digits thumb=https://i.ytimg.com/vi/Ym5u5IlYWcg/default.jpg URL=http://www.youtube.com/watch?v=Ym5u5IlYWcg description=Pure Numbers and Significant Digits/description type=video name=Addition and subtraction with significant figures | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xHgPtFUbAeU/default.jpg URL=http://www.youtube.com/watch?v=xHgPtFUbAeU description=Addition and Subtraction with Significant Figures Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/e/significant_figures_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/multiplying-and-dividing-with-significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/more-on-significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing with significant figures | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/iorZdz4dsBU/default.jpg URL=http://www.youtube.com/watch?v=iorZdz4dsBU description=Multiplying and dividing with significant figures Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/e/significant_figures_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/v/multiplying-a-decimal-by-a-power-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/addition-and-subtraction-with-significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on significant figures | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/eMl2z3ezlrQ/default.jpg URL=http://www.youtube.com/watch?v=eMl2z3ezlrQ description=Understanding the "rules of thumb" for significant figures Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/e/significant_figures_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/addition-and-subtraction-with-significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Significant figures | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/eCJ76hz7jPM/default.jpg URL=http://www.youtube.com/watch?v=eCJ76hz7jPM description=Introduction to significant figures Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/e/significant_figures_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/more-on-significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-rounding-estimation-pre-alg/v/rounding-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LinkedIn Speaker Series Salman Khan thumb=https://i.ytimg.com/vi/t1F15l7UfqE/default.jpg URL=http://www.youtube.com/watch?v=t1F15l7UfqE description=Salman speaking with LinkedIn CEO and employees on April 15, 2011/description type=video name=Number Base Conversion Practice thumb=https://i.ytimg.com/vi/Fpm-E5v6ddc/default.jpg URL=http://www.youtube.com/watch?v=Fpm-E5v6ddc description=Converting between decimal, binary and hexadecimal number systems/description type=video name=Binary, Decimal and Hexadecimal Number Systems thumb=https://i.ytimg.com/vi/_97OwCkjh3c/default.jpg URL=http://www.youtube.com/watch?v=_97OwCkjh3c description=Conceptualizing different number systems/description type=video name=Binary Numbers thumb=https://i.ytimg.com/vi/ry1hpm1GXVI/default.jpg URL=http://www.youtube.com/watch?v=ry1hpm1GXVI description=Understanding how numbers are represented. Introduction to binary numbers/description type=video name=Hedge funds, venture capital, and private equity | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/bLQBbA8yh7c/default.jpg URL=http://www.youtube.com/watch?v=bLQBbA8yh7c description=Similarities in compensation structure for hedge funds, venture capital firms, and private equity investors. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-strategies-long-short-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/are-hedge-funds-bad?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. They are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from "unsophisticated" investors. Some use their flexibility to mitigate risk, other use it to amplify it. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Are hedge funds bad? | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/vD2WJTIEVv0/default.jpg URL=http://www.youtube.com/watch?v=vD2WJTIEVv0 description=Thinking about how hedge funds are different from other institutions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-funds-venture-capital-and-private-equity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-structure-and-fees?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. They are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from "unsophisticated" investors. Some use their flexibility to mitigate risk, other use it to amplify it. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hedge fund structure and fees | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/EX1eFeaTiYM/default.jpg URL=http://www.youtube.com/watch?v=EX1eFeaTiYM description=Understanding how hedge funds are structured and how the managers get paid. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/are-hedge-funds-bad?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-funds-intro?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. They are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from "unsophisticated" investors. Some use their flexibility to mitigate risk, other use it to amplify it. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hedge funds intro | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Qb7tbWuDc2U/default.jpg URL=http://www.youtube.com/watch?v=Qb7tbWuDc2U description=Overview of how hedge funds are different than mutual funds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-fund-structure-and-fees?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/life-insurance/v/term-life-insurance-and-death-probability?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Hedge funds have absolutely nothing to do with shrubbery. Their name comes from the fact that early hedge funds (and some current ones) tried to "hedge" their exposure to the market (so they could, in theory, do well in an "up" or "down" market as long as they were good at picking the good companies). Today, hedge funds represent a huge class investment funds. They are far less regulated than, say, mutual funds. In exchange for this, they aren't allowed to market or take investments from "unsophisticated" investors. Some use their flexibility to mitigate risk, other use it to amplify it. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exchange traded funds (ETFs) | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/SFdsY9Rdh6w/default.jpg URL=http://www.youtube.com/watch?v=SFdsY9Rdh6w description=Comparing ETF's, open-end, and closed-end funds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/ponzi-schemes?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/closed-end-mutual-funds?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Closed-end mutual funds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/VpVu25KhozQ/default.jpg URL=http://www.youtube.com/watch?v=VpVu25KhozQ description=Comparing closed-end and open-ended mutual funds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/exchange-traded-funds-etfs?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/open-end-mutual-fund-redemptions?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Open-end mutual fund redemptions (part 2) | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/nW1rxuQft1o/default.jpg URL=http://www.youtube.com/watch?v=nW1rxuQft1o description=Understanding the mechanics of an open end mutual fund a bit better. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/closed-end-mutual-funds?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/open-ended-mutual-fund-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Open-ended mutual fund (part 1) | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/DzYwB3uSU-c/default.jpg URL=http://www.youtube.com/watch?v=DzYwB3uSU-c description=Introduction to Open-Ended Mutual Funds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/open-end-mutual-fund-redemptions?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Is limited liability or double taxation fair? | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/IiKKAw38ss0/default.jpg URL=http://www.youtube.com/watch?v=IiKKAw38ss0 description=Thinking about whether limited liability or double taxation is fair. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/corporate-taxation/v/transfer-pricing-and-tax-havens?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/corporate-taxation/v/corporations-and-limited-liability?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, "double taxation" and a few ways that multinationals might try to get out of paying taxes. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Corporations and limited liability | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/VnTlKcIigyY/default.jpg URL=http://www.youtube.com/watch?v=VnTlKcIigyY description=Why people set up corporations. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/corporate-taxation/v/is-limited-liability-or-double-taxation-fair?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/married-taxes-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, "double taxation" and a few ways that multinationals might try to get out of paying taxes. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Term life insurance and death probability | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/NSSoMafbBqQ/default.jpg URL=http://www.youtube.com/watch?v=NSSoMafbBqQ description=Understanding an insurance company's sense of my chances of dying. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/hedge-funds/v/hedge-funds-intro?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/life-insurance/v/term-and-whole-life-insurance-policies-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: It is a bit of a downer to think about, but we are all going to die. Do we care what happens to our loved ones (if they really are "loved" than the answer is obvious). This tutorial walks us through the options to insure our families against losing us. The reason why we stuck it in the "investment vehicles" topic is because it can also be an investment that we can use before we die. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Back-of-envelope office space conundrum | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/bAU1MLRwh7c/default.jpg URL=http://www.youtube.com/watch?v=bAU1MLRwh7c description=Back of the envelope calculation of which office space to rent. Created by Sal Khan. Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/wealth-destruction-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=To invest or pay-off loans thumb=https://i.ytimg.com/vi/sKdYxymyvWw/default.jpg URL=http://www.youtube.com/watch?v=sKdYxymyvWw description=Thinking about whether to invest money or pay off loans/description type=video name=Recognizing odd and even functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/8VgmBe3ulb8/default.jpg URL=http://www.youtube.com/watch?v=8VgmBe3ulb8 description=Even and odd functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/even_and_odd_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/connection-between-even-and-odd-numbers-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/when-a-function-is-positive-or-negative?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Connection between even and odd numbers and functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/jFazrvLodrA/default.jpg URL=http://www.youtube.com/watch?v=jFazrvLodrA description=A possible reason why even functions are called "even" and odd functions are called "odd" Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/e/even_and_odd_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-features-of-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/analyzing_functions/v/recognizing-odd-and-even-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing direct and inverse variation | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/3_DxJwDTbyQ/default.jpg URL=http://www.youtube.com/watch?v=3_DxJwDTbyQ description=Examples of variables varying directly and inversely Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/e/direct_and_inverse_variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/proportionality-constant-for-direct-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-and-inverse-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Direct and inverse variation | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/92U67CUy9Gc/default.jpg URL=http://www.youtube.com/watch?v=92U67CUy9Gc description=Understanding direct and inverse variation Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/e/direct_and_inverse_variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/recognizing-direct-and-inverse-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/rational-function-graphing/v/finding-asymptotes-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding probability example 2 | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/mLE-SlOZToc/default.jpg URL=http://www.youtube.com/watch?v=mLE-SlOZToc description=In this example we are figuring out the probability of randomly picking a non-blue marble from a bag. Again, we'll have to think about the possible outcomes first. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/e/probability_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/events-and-outcomes-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/simple-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acute right and obtuse angles | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ALhv3Rlydig/default.jpg URL=http://www.youtube.com/watch?v=ALhv3Rlydig description=We briefly discussed the types of angles in the last tutorial but we'll delve a little deeper into acute, obtuse, and right angles here. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/angle_types?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/vertical-adjacent-and-linearly-paired-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/v/measuring-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cylinder volume and surface area | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/gL3HxBQyeg0/default.jpg URL=http://www.youtube.com/watch?v=gL3HxBQyeg0 description=Finding the volume and surface area of a cylinder Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/solid_geometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/density-example-blimp?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/solid-geometry-volume?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find the volume of a triangular prism and cube | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ZqzAOZ9pP9Q/default.jpg URL=http://www.youtube.com/watch?v=ZqzAOZ9pP9Q description=In this tutorial we'll practice finding solid geometry volume. Keep paper and pencil nearby in case you want to remember the formulas. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/e/solid_geometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/cylinder-volume-and-surface-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/volume_tutorial/v/surface-area-from-net?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternative minimum tax | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/yrlLKwmb5dY/default.jpg URL=http://www.youtube.com/watch?v=yrlLKwmb5dY description=The basics of the alternative minimum tax. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/estate-tax-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/amt-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tax deductions introduction | Taxes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/GypHy3gnG5E/default.jpg URL=http://www.youtube.com/watch?v=GypHy3gnG5E description=Understanding what a tax deduction is. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/amt-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/taxes-topic/taxes/v/basics-of-us-income-tax-rate-schedule?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Benjamin Franklin (and several other writers/philosophers) tells us that "In this world nothing can be said to be certain, except death and taxes." He's right. This tutorial focus on personal income tax. Very important to watch if you ever plan on earning money (some of which the government will take for itself). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fair value accounting | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/s-5_H3z-Cv0/default.jpg URL=http://www.youtube.com/watch?v=s-5_H3z-Cv0 description=Difference between Historical Cost and Fair Value Accounting. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/expensing-a-truck-leads-to-inconsistent-performance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/doing-the-example-with-accounts-payable-growing?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Corporations use three financial statements to report what's going on: balance sheets, cash flow statements and income statements. They can be derived from each other and each give a valuable lens on the operations and condition of a business. After you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=LIBOR | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/wBCowBiXV7A/default.jpg URL=http://www.youtube.com/watch?v=wBCowBiXV7A description=London InterBank Offer Rate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/federal-reserve/v/fed-open-market-operations?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/banking-and-money/v/frb-commentary-3-big-picture?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: We all use money and most of us use banks. Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking). This older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Strokes | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/xbyfeEW56Nc/default.jpg URL=http://www.youtube.com/watch?v=xbyfeEW56Nc description=Basics of strokes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/als-ice-bucket-challenge?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/thrombo-emboli-and-thromboembolisms?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Common divisibility examples | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/zWcfVC-oCNw/default.jpg URL=http://www.youtube.com/watch?v=zWcfVC-oCNw description=Common Divisibility Examples Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/e/divisibility?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/least_common_multiple/v/least-common-multiple-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/the-fundamental-theorem-of-arithmetic?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stenosis, ischemia and heart failure | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/3858MaULDdI/default.jpg URL=http://www.youtube.com/watch?v=3858MaULDdI description=Clarifying a bunch of medical terms around heart disease. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/thrombo-emboli-and-thromboembolisms?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/heart-disease-and-heart-attacks?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thromboemboli and thromboembolisms | Miscellaneous | Heatlh & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/h0207xMD6b8/default.jpg URL=http://www.youtube.com/watch?v=h0207xMD6b8 description=Clarifying difference between a thrombus and an embolus (and between thrombosis and embolism). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/strokes?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/healthcare-misc/v/stenosis-ischemia-and-heart-failure?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Heart Disease and Heart Attacks thumb=https://i.ytimg.com/vi/_wre2WRPiFI/default.jpg URL=http://www.youtube.com/watch?v=_wre2WRPiFI description=Understanding coronary artery disease and myocardial infarctions. Left-most image from wikipedia user ZooFari (other two images in public domain). This video is licensed under CC-BY-SA./description type=video name=A1C Levels thumb=https://i.ytimg.com/vi/MOH33-jFOwo/default.jpg URL=http://www.youtube.com/watch?v=MOH33-jFOwo description=Why measuring Hemoglobin A1c levels is an indicator of blood sugar levels (and diabetes) More free lessons at: http://www.khanacademy.org/video?v=MOH33-jFOwo/description type=video name=Glucose Concentration Conversion thumb=https://i.ytimg.com/vi/j37Mx24JHC4/default.jpg URL=http://www.youtube.com/watch?v=j37Mx24JHC4 type=video name=Blood Sugar Levels thumb=https://i.ytimg.com/vi/JSFiOF7xGfE/default.jpg URL=http://www.youtube.com/watch?v=JSFiOF7xGfE description=Normal and elevated blood sugar levels before (preprandia) and after (postprandial) a meal More free lessons at: http://www.khanacademy.org/video?v=JSFiOF7xGfE/description type=video name=Glucose Insulin and Diabetes thumb=https://i.ytimg.com/vi/rPLjSY00JlE/default.jpg URL=http://www.youtube.com/watch?v=rPLjSY00JlE description=The basics of Type I and Type II diabetes More free lessons at: http://www.khanacademy.org/video?v=rPLjSY00JlE/description type=video name=Market value of assets | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/nhW3Ri4b_V8/default.jpg URL=http://www.youtube.com/watch?v=nhW3Ri4b_V8 description=Market value of assets. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/price-and-market-capitalization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/market-capitalization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you're ready to dig in a bit on a company's actual financials. This tutorial does this to help you understand what the price of a company really is. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Market capitalization | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/5lmHzAHbtzg/default.jpg URL=http://www.youtube.com/watch?v=5lmHzAHbtzg description=Market versus book value of equity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/market-value-of-assets?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/basic-capital-structure-differences?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you're ready to dig in a bit on a company's actual financials. This tutorial does this to help you understand what the price of a company really is. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic capital structure differences | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/YEZMReBbkP0/default.jpg URL=http://www.youtube.com/watch?v=YEZMReBbkP0 description=Understanding basic capital structure differences. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/market-capitalization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/gross-and-operating-profit?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you're ready to dig in a bit on a company's actual financials. This tutorial does this to help you understand what the price of a company really is. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gross and operating profit | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/7MjHWw3p710/default.jpg URL=http://www.youtube.com/watch?v=7MjHWw3p710 description=Difference between gross profit, operating profit, and net income. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/basic-capital-structure-differences?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/is-short-selling-bad?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you understand what a stock is (also a good idea to look at the topic on accounting and financial statements), then you're ready to dig in a bit on a company's actual financials. This tutorial does this to help you understand what the price of a company really is. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amortization and depreciation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/eKw3Aq0vvbo/default.jpg URL=http://www.youtube.com/watch?v=eKw3Aq0vvbo description=Comparing depreciation and amortization. Created by Sal Khan. Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/depreciation-in-cash-flow?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: How do you account for things that get "used up" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Depreciation in cash flow | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/uX2w0b8Qlss/default.jpg URL=http://www.youtube.com/watch?v=uX2w0b8Qlss description=Depreciation in Cash Flow. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/amortization-and-depreciation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/depreciating-the-truck?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: How do you account for things that get "used up" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Depreciating the truck | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/iewvEGWARBY/default.jpg URL=http://www.youtube.com/watch?v=iewvEGWARBY description=Depreciating the truck spreads out the expense. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/depreciation-in-cash-flow?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/expensing-a-truck-leads-to-inconsistent-performance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: How do you account for things that get "used up" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expensing a truck leads to inconsistent performance | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/0E3PuHiDU9U/default.jpg URL=http://www.youtube.com/watch?v=0E3PuHiDU9U description=Expensing a truck leads to strange looking income statement. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/depreciation-amortization-tut/v/depreciating-the-truck?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/fair-value-accounting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: How do you account for things that get "used up" or a cost that should be spread over time. This tutorial has your answer. Depreciation and amortization might sound fancy, but you'll hopefully find them to be quite understandable. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Doing the example with accounts payable growing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/57gz50uTPqM/default.jpg URL=http://www.youtube.com/watch?v=57gz50uTPqM description=Introduction to Accounts Payable. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/fair-value-accounting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/basic-cash-flow-statement?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Corporations use three financial statements to report what's going on: balance sheets, cash flow statements and income statements. They can be derived from each other and each give a valuable lens on the operations and condition of a business. After you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic cash flow statement | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Mioqyv_IW3E/default.jpg URL=http://www.youtube.com/watch?v=Mioqyv_IW3E description=Using a cash flow statement to reconcile net income with change in cash. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/doing-the-example-with-accounts-payable-growing?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/balance-sheet-and-income-statement-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Corporations use three financial statements to report what's going on: balance sheets, cash flow statements and income statements. They can be derived from each other and each give a valuable lens on the operations and condition of a business. After you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balance sheet and income statement relationship | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/hZvjH3Az87A/default.jpg URL=http://www.youtube.com/watch?v=hZvjH3Az87A description=Balance Sheet and Income Statement Relationship. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/e/interpreting-the-balance-sheet?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting/v/accrual-basis-of-accounting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Corporations use three financial statements to report what's going on: balance sheets, cash flow statements and income statements. They can be derived from each other and each give a valuable lens on the operations and condition of a business. After you know the basics of accrual accounting (available in another tutorial), this tutorial will give you tools you need to responsibly understand any business. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing accrual and cash accounting | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/LU_6amWC6H8/default.jpg URL=http://www.youtube.com/watch?v=LU_6amWC6H8 description=Comparing Accrual and Cash Accounting. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/financial-statements-tutorial/v/balance-sheet-and-income-statement-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting/v/accrual-basis-of-accounting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, "double taxation" and a few ways that multinationals might try to get out of paying taxes. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Accrual basis of accounting | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/NNhyZFHAzaA/default.jpg URL=http://www.youtube.com/watch?v=NNhyZFHAzaA description=Simple example of accrual accounting. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting/v/comparing-accrual-and-cash-accounting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting/v/cash-accounting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In exchange for being treated as a person-like-legal entity (and the limited liability this gives for its owners), most corporations pay taxes. This tutorial focuses on what corporations are, "double taxation" and a few ways that multinationals might try to get out of paying taxes. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cash accounting | Accounting and financial statements | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/FfdpupKByiU/default.jpg URL=http://www.youtube.com/watch?v=FfdpupKByiU description=Simple example of cash accounting. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/accounting-and-financial-stateme/cash-accrual-accounting/v/accrual-basis-of-accounting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Just keeping track of cash that goes in and out of a business doesn't always reflect what's going on. This tutorial compares cash and accrual accounting. Very valuable if you ever plan on starting or investing in any type of business (you might also discover a nascent passion for accounting)! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Upper bound on forward settlement price | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/FcRxdq7KGOQ/default.jpg URL=http://www.youtube.com/watch?v=FcRxdq7KGOQ description=Upper Bound on Forward Settlement Price. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/lower-bound-on-forward-settlement-price?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/contango-and-backwardation-review?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lower bound on forward settlement price | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/_uDb0ZdGb8w/default.jpg URL=http://www.youtube.com/watch?v=_uDb0ZdGb8w description=Lower Bound on Forward Settlement Price. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/arbitraging-futures-contract?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/upper-bound-on-forward-settlement-price?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Futures curves II | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/UDe6zeabyQM/default.jpg URL=http://www.youtube.com/watch?v=UDe6zeabyQM description=Futures Curves II. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/contango?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/backwardation-bullish-or-bearish?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Contango and backwardation review | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/5YaSL-y46Hk/default.jpg URL=http://www.youtube.com/watch?v=5YaSL-y46Hk description=Review of the difference uses of the words contango, backwardation, contango theory and theory of normal backwardation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/upper-bound-on-forward-settlement-price?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/backwardation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Backwardation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/LDuJ1AD7n54/default.jpg URL=http://www.youtube.com/watch?v=LDuJ1AD7n54 description=Backwardation and the theory of Normal Backwardation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/contango-and-backwardation-review?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/contango?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Contango | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/wSqkieBUuo8/default.jpg URL=http://www.youtube.com/watch?v=wSqkieBUuo8 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/backwardation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-curves-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Futures and forward curves | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/AnATlMVA12E/default.jpg URL=http://www.youtube.com/watch?v=AnATlMVA12E description=Normal and Inverted Futures Curves. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/contango-from-trader-perspective?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/verifying-hedge-with-futures-margin-mechanics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Verifying hedge with futures margin mechanics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/1mnKCkmeaYs/default.jpg URL=http://www.youtube.com/watch?v=1mnKCkmeaYs description=Verifying Hedge with Futures Margin Mechanics. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-and-forward-curves?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-margin-mechanics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal on Dylan Ratigan show thumb=https://i.ytimg.com/vi/1nIbQK3Gwfo/default.jpg URL=http://www.youtube.com/watch?v=1nIbQK3Gwfo description=Sal on Dylan Ratigan show (3/22/2011)/description type=video name=Futures margin mechanics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/1t42z5U2uoc/default.jpg URL=http://www.youtube.com/watch?v=1t42z5U2uoc description=Understanding the mechanics of margin for futures. Initial and maintenance margin.Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/verifying-hedge-with-futures-margin-mechanics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/motivation-for-the-futures-exchange?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Arbitraging futures contracts II | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/5kFnAmmGXM4/default.jpg URL=http://www.youtube.com/watch?v=5kFnAmmGXM4 description=Arbitraging Futures Contracts II. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-fair-value-in-the-pre-market?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/arbitraging-futures-contract?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Arbitraging futures contract | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/0jk6uLZ1Tdc/default.jpg URL=http://www.youtube.com/watch?v=0jk6uLZ1Tdc description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/arbitraging-futures-contracts-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/lower-bound-on-forward-settlement-price?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Arbitrage basics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/AuCH7fHZsZ4/default.jpg URL=http://www.youtube.com/watch?v=AuCH7fHZsZ4 description=Arbitrage Basics. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity-arbitrage-i?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/call-writer-payoff-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Motivation for the futures exchange | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/iyrOGvbSS2U/default.jpg URL=http://www.youtube.com/watch?v=iyrOGvbSS2U description=How an exchange can benefit from trading futures and how it can use margin to mitigate its risk. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-margin-mechanics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Futures introduction | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/3g6P0lRXotI/default.jpg URL=http://www.youtube.com/watch?v=3g6P0lRXotI description=Futures Introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/motivation-for-the-futures-exchange?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/forward-contract-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Forward contract introduction | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/H9UEZdAnnt8/default.jpg URL=http://www.youtube.com/watch?v=H9UEZdAnnt8 description=Forward Contract Introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/futures-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/option-expiration-and-price?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Option expiration and price | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/OrRDNKNHtlg/default.jpg URL=http://www.youtube.com/watch?v=OrRDNKNHtlg description=Option Expiration and Price. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/forward-futures-contracts/v/forward-contract-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/actual-option-quotes?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ape Clarification thumb=https://i.ytimg.com/vi/oFGkYA_diDA/default.jpg URL=http://www.youtube.com/watch?v=oFGkYA_diDA description=Ape Clarification - that they have no tails More free lessons at: http://www.khanacademy.org/video?v=oFGkYA_diDA/description type=video name=Actual option quotes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/3o82OwR78wU/default.jpg URL=http://www.youtube.com/watch?v=3o82OwR78wU description=Actual Option Quotes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/option-expiration-and-price?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put-call parity clarification | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Sc6zc8KR_NU/default.jpg URL=http://www.youtube.com/watch?v=Sc6zc8KR_NU description=Put-Call Parity Clarification. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/actual-option-quotes?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity-arbitrage-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=China buys US bonds | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Dfkq9SOWxY8/default.jpg URL=http://www.youtube.com/watch?v=Dfkq9SOWxY8 description=China buys US Bonds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation/v/review-of-china-us-currency-situation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation/v/china-pegs-to-dollar-to-keep-trade-imbalance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial contains short videos that explain how China and the United States are intertwined through currency and debt. This is key for understanding the current global macro picture. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Review of China US currency situation thumb=https://i.ytimg.com/vi/DtlFQ_nNaQM/default.jpg URL=http://www.youtube.com/watch?v=DtlFQ_nNaQM description=Review of China US currency situation More free lessons at: http://www.khanacademy.org/video?v=DtlFQ_nNaQM/description type=video name=Data on Chinese M1 Increase in 2010 thumb=https://i.ytimg.com/vi/4Azskeheo_g/default.jpg URL=http://www.youtube.com/watch?v=4Azskeheo_g description=Data on Chinese M1 Increase in 2010 More free lessons at: http://www.khanacademy.org/video?v=4Azskeheo_g/description type=video name=Data on Chinese Foreign Assets Increase in 2010 thumb=https://i.ytimg.com/vi/a3NFAnHxpKw/default.jpg URL=http://www.youtube.com/watch?v=a3NFAnHxpKw description=Data on Chinese Foreign Assets Increase in 2010 More free lessons at: http://www.khanacademy.org/video?v=a3NFAnHxpKw/description type=video name=Data on Chinese US Balance of Payments thumb=https://i.ytimg.com/vi/iNemmT1hnzA/default.jpg URL=http://www.youtube.com/watch?v=iNemmT1hnzA description=Data on Chinese US Balance of Payments More free lessons at: http://www.khanacademy.org/video?v=iNemmT1hnzA/description type=video name=China keeps peg but diversifies holdings thumb=https://i.ytimg.com/vi/4aNoZjAhSr8/default.jpg URL=http://www.youtube.com/watch?v=4aNoZjAhSr8 description=China keeps peg but diversifies holdings More free lessons at: http://www.khanacademy.org/video?v=4aNoZjAhSr8/description type=video name=Chinese inflation | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/R_-V6usZJsc/default.jpg URL=http://www.youtube.com/watch?v=R_-V6usZJsc description=Chinese inflation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation/v/floating-exchange-effect-on-china?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/china-us-debt-situation/v/data-on-chinese-us-balance-of-payments?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial contains short videos that explain how China and the United States are intertwined through currency and debt. This is key for understanding the current global macro picture. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Floating Exchange Effect on China thumb=https://i.ytimg.com/vi/vrGNXAGmfCM/default.jpg URL=http://www.youtube.com/watch?v=vrGNXAGmfCM description=Floating Exchange Effect on China More free lessons at: http://www.khanacademy.org/video?v=vrGNXAGmfCM/description type=video name=Floating Exchange Effect on US thumb=https://i.ytimg.com/vi/K0GF4FT51qY/default.jpg URL=http://www.youtube.com/watch?v=K0GF4FT51qY description=Floating Exchange Effect on US More free lessons at: http://www.khanacademy.org/video?v=K0GF4FT51qY/description type=video name=Floating Exchange Resolving Trade Imbalance thumb=https://i.ytimg.com/vi/wNYFJsC8TZE/default.jpg URL=http://www.youtube.com/watch?v=wNYFJsC8TZE description=Floating Exchange Resolving Trade Imbalance More free lessons at: http://www.khanacademy.org/video?v=wNYFJsC8TZE/description type=video name=China Pegs to Dollar to Keep Trade Imbalance thumb=https://i.ytimg.com/vi/uTlh861MtYk/default.jpg URL=http://www.youtube.com/watch?v=uTlh861MtYk description=China Pegs to Dollar to Keep Trade Imbalance More free lessons at: http://www.khanacademy.org/video?v=uTlh861MtYk/description type=video name=American call options | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/nnl3x1wo25g/default.jpg URL=http://www.youtube.com/watch?v=nnl3x1wo25g description=American Call Options. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/basic-shorting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic shorting | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/jAOtWm_WZiE/default.jpg URL=http://www.youtube.com/watch?v=jAOtWm_WZiE description=Basic Shorting. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/shorting-stock?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/stocks-intro-tutorial/v/bonds-vs-stocks?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Can you sell something that you borrowed from someone else? Why, yes, you can and it is called "shorting". Why would you do this? Well, you can now make money if the price goes down. Is this bad? This tutorial has your answers. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=American put options | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/6CUcgUeQS-w/default.jpg URL=http://www.youtube.com/watch?v=6CUcgUeQS-w description=American Put Options. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/call-option-as-leverage?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/basic-shorting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Call option as leverage | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/N8h45mDI80s/default.jpg URL=http://www.youtube.com/watch?v=N8h45mDI80s description=Call Option as Leverage. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-vs-short-and-leverage?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/american-put-options?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Call payoff diagram | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/MZQxeQYQCUg/default.jpg URL=http://www.youtube.com/watch?v=MZQxeQYQCUg description=Call Payoff Diagram. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-payoff-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-vs-short-and-leverage?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put vs. short and leverage | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/_q25hz5xLdk/default.jpg URL=http://www.youtube.com/watch?v=_q25hz5xLdk description=Put vs. Short and Leverage. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/call-payoff-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/call-option-as-leverage?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put-call parity arbitrage I | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/SCM4A0rBeOQ/default.jpg URL=http://www.youtube.com/watch?v=SCM4A0rBeOQ description=Put-Call Parity Arbitrage I. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity-arbitrage-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/arbitrage-basics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put-call parity arbitrage II | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/MHWmBggmIU0/default.jpg URL=http://www.youtube.com/watch?v=MHWmBggmIU0 description=Put-Call Parity Arbitrage II. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity-arbitrage-i?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put payoff diagram | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/VST_U297pH0/default.jpg URL=http://www.youtube.com/watch?v=VST_U297pH0 description=Put Payoff Diagram. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-as-insurance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/call-payoff-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Long straddle | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/2HIRaOQDRho/default.jpg URL=http://www.youtube.com/watch?v=2HIRaOQDRho description=Long Straddle. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-writer-payoff-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put as insurance | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/i65NIcnHS9Y/default.jpg URL=http://www.youtube.com/watch?v=i65NIcnHS9Y description=Put as Insurance. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-call-parity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-payoff-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Call writer payoff diagram | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/TdW3LdN5SJw/default.jpg URL=http://www.youtube.com/watch?v=TdW3LdN5SJw description=Call Writer Payoff Diagram. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/arbitrage-basics?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-writer-payoff-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put-call parity | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/m4mrd7sHCPM/default.jpg URL=http://www.youtube.com/watch?v=m4mrd7sHCPM description=Put-Call Parity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/long-straddle?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/put-as-insurance?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Put writer payoff diagrams | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/WFuLVSz6n8M/default.jpg URL=http://www.youtube.com/watch?v=WFuLVSz6n8M description=Put Writer Payoff Diagrams. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/call-writer-payoff-diagram?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/put-call-options/v/long-straddle?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Options allow investors and speculators to hedge downside (or upside). It allows them to trade on a belief that prices will change a lot--just not clear about direction. It allows them to benefit in any market (with leverage) if they speculate correctly. This tutorial walks through option basics and even goes into some fairly sophisticated option mechanics. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy on Nightly News thumb=https://i.ytimg.com/vi/T4dk6woz4Do/default.jpg URL=http://www.youtube.com/watch?v=T4dk6woz4Do description=Khan Academy on the NBC Nightly News with Brian Williams/description type=video name=The substitution method | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/uzyd_mIJaoc/default.jpg URL=http://www.youtube.com/watch?v=uzyd_mIJaoc description=The Substitution Method Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/e/systems_of_equations_with_substitution?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/substitution-method-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/solving-systems-by-substitution-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of equations word problems example 3 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/v6L8--MlnKo/default.jpg URL=http://www.youtube.com/watch?v=v6L8--MlnKo description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/e/understanding-systems-of-equations-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/understanding-systems-of-equations-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Substitution method 2 | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/2VeqrZ_PMiY/default.jpg URL=http://www.youtube.com/watch?v=2VeqrZ_PMiY description=The Substitution Method Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/e/systems_of_equations_with_substitution?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/substitution-method-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/the-substitution-method?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition elimination method 1 | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/0P0SCQf-hWQ/default.jpg URL=http://www.youtube.com/watch?v=0P0SCQf-hWQ description=Addition Elimination Method 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/solving-systems-by-elimination-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of three variables | Systems of equations and inequalities | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/pANZpI9sOYg/default.jpg URL=http://www.youtube.com/watch?v=pANZpI9sOYg description=Systems of Three Variables Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/systems-of-three-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/v/u06-l3-t1-we3-graphing-systems-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition elimination method 3 | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/mKu0L46Qed4/default.jpg URL=http://www.youtube.com/watch?v=mKu0L46Qed4 description=Addition Elimination Method 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-4?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition elimination method 2 | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/hJOqGkWElNs/default.jpg URL=http://www.youtube.com/watch?v=hJOqGkWElNs description=Addition Elimination Method 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-1?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of three variables 2 | Systems of equations and inequalities | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/f7cX-Ar2cEM/default.jpg URL=http://www.youtube.com/watch?v=f7cX-Ar2cEM description=Systems of Three Variables 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/solutions-to-three-variable-system?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/systems-of-three-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition elimination method 4 | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/DxSmZ0MDSxM/default.jpg URL=http://www.youtube.com/watch?v=DxSmZ0MDSxM description=Addition Elimination Method 4 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/solving-systems-by-elimination-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Three equation application problem | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/TJaHNxJk5-4/default.jpg URL=http://www.youtube.com/watch?v=TJaHNxJk5-4 description=Three Equation Application Problem Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/estimating-a-solution-to-nonlinear-system-with-calculator?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/solutions-to-three-variable-system-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solutions to three variable system | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/K38zMmtjxEw/default.jpg URL=http://www.youtube.com/watch?v=K38zMmtjxEw description=Solutions to Three Variable System Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/solutions-to-three-variable-system-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/systems-of-three-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan TED Talk 2011 (from ted.com) thumb=https://i.ytimg.com/vi/gM95HHI4gLk/default.jpg URL=http://www.youtube.com/watch?v=gM95HHI4gLk description=Salman Khan talk at TED 2011 (from ted.com) More free lessons at: http://www.khanacademy.org/video?v=gM95HHI4gLk About Khan Academy Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Graphing systems of equations | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/MRAIgJmRmag/default.jpg URL=http://www.youtube.com/watch?v=MRAIgJmRmag description=Graphing Systems of Equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/e/graphing_systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/graphical-systems-application-problem?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/testing-a-solution-for-a-system-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Consistent and inconsistent systems | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Ix8Nne-a-KQ/default.jpg URL=http://www.youtube.com/watch?v=Ix8Nne-a-KQ description=Consistent and Inconsistent Systems Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/independent-and-dependent-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/infinite-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Independent and dependent systems | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/WSpF5uvApLA/default.jpg URL=http://www.youtube.com/watch?v=WSpF5uvApLA description=Independent and Dependent Systems Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/practice-thinking-about-number-of-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/consistent-and-inconsistent-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Checking solutions to systems of equations example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/SkMNREAMNvc/default.jpg URL=http://www.youtube.com/watch?v=SkMNREAMNvc description=Testing a solution for a system of equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/introduction_to_systems_of_linear_equations/e/verifying-solutions-to-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/graphical_representation_of_systems_of_equations/v/solving-the-troll-riddle-visually?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/introduction_to_systems_of_linear_equations/v/trolls-tolls-and-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=System of Inequalities Application thumb=https://i.ytimg.com/vi/G0fH6blRMHI/default.jpg URL=http://www.youtube.com/watch?v=G0fH6blRMHI description=u14_l1_t2_we3 System of Inequalities Application More free lessons at: http://www.khanacademy.org/video?v=G0fH6blRMHI Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Graphical systems application problem | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/3mimxluSVBo/default.jpg URL=http://www.youtube.com/watch?v=3mimxluSVBo description=Graphical Systems Application Problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/e/graphing_systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/solving-systems-by-graphing-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/graphings-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to graphing systems of linear inequalities | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/CA4S7S-3Lg4/default.jpg URL=http://www.youtube.com/watch?v=CA4S7S-3Lg4 description=Learn how to graph systems of two-variable linear inequalities. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/e/graphing_systems_of_inequalities_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/v/graphing-systems-of-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/practice-thinking-about-number-of-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Checking solutions of systems of inequalities example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XzYNh2wpO0A/default.jpg URL=http://www.youtube.com/watch?v=XzYNh2wpO0A description=Learn how to check whether an ordered pair is a solution of a system of two-variable linear inequalities. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/checking-solutions-of-inequalities/e/checking-solutions-to-systems-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/checking-solutions-of-inequalities/v/graphing-inequalities-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear function example: spending money | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/ljROszF_rqs/default.jpg URL=http://www.youtube.com/watch?v=ljROszF_rqs description=Application problem with graph Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/e/graphing-linear-functions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/v/word-problem-solving-4?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/v/comparing-features-of-functions-6?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing solutions to two-variable linear equations example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/86NwKBcOlow/default.jpg URL=http://www.youtube.com/watch?v=86NwKBcOlow description=Plotting (x,y) relationships Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/e/graphing-solutions-to-two-variable-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/graphing-solutions-to-2-variable-linear-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/solutions-to-two-var-linear-equations/v/checking-ordered-pair-solutions-to-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: plot ordered pairs | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/5ctsUsvIp8w/default.jpg URL=http://www.youtube.com/watch?v=5ctsUsvIp8w description=We're plotting an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/e/identifying_points_1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/points-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinate plane: quadrants | Negative numbers | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/1op92ojA6q0/default.jpg URL=http://www.youtube.com/watch?v=1op92ojA6q0 description=You like dividing up a pizza into slices? In geometry, we slice up the coordinate plane into quadrants. Although these are more like squares than triangular pizza slices! Let's learn about them. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/e/graphing_points_2?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/points-on-the-coordinate-plane?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-negative-number-topic/cc-6th-coordinate-plane/v/plot-ordered-pairs?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing using x- and y-intercepts | Graphing lines and slope | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/6m642-2D3V4/default.jpg URL=http://www.youtube.com/watch?v=6m642-2D3V4 description=Graphing using X and Y intercepts. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-intercepts/v/x-and-y-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/v/determining-a-linear-equation-by-trying-out-values-from-a-table?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope from two ordered pairs example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/WkspBxrzuZo/default.jpg URL=http://www.youtube.com/watch?v=WkspBxrzuZo description=An example of finding the slope between two points Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/e/slope-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ordered pair solutions to equations | Graphing lines and slope | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/HUn4XwV7o9I/default.jpg URL=http://www.youtube.com/watch?v=HUn4XwV7o9I description=Ordered pair solutions of equations. Created by Sal Khan and Monterey Institute for Technology and Education. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/e/plugging_in_values?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/solutions-graphs-two-variable-equations/v/ordered-pair-solutions-of-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-coordinate-plan/v/graphing-points-and-naming-quadrants-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope from two ordered pairs example 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/CFSHq099Mx0/default.jpg URL=http://www.youtube.com/watch?v=CFSHq099Mx0 description=Another example of finding the slope between two points Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/e/slope-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope of a line: negative slope | Graphing lines and slope | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/81SseQCpGws/default.jpg URL=http://www.youtube.com/watch?v=81SseQCpGws description=Sal finds the slope of a line given its graph. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-slope/v/slope-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-slope/v/slope-and-rate-of-change?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope-intercept equation from slope and point | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AqFwKecNaTk/default.jpg URL=http://www.youtube.com/watch?v=AqFwKecNaTk description=Equation of a line Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/e/slope-intercept-equation-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/equation-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/graphs-using-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope-intercept equation from two solutions example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XMJ72mtMn4Y/default.jpg URL=http://www.youtube.com/watch?v=XMJ72mtMn4Y description=Equation of a line 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/e/slope-intercept-equation-from-two-points?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/linear-equations-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/equation-of-a-line-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing inequalities 2 | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/-aTy1ED1m5I/default.jpg URL=http://www.youtube.com/watch?v=-aTy1ED1m5I description=Graphing Inequalities 2. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/v/graphing-linear-inequalities-in-two-variables-3?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding a linear equation given a point and slope | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/MxiqyE2uMCo/default.jpg URL=http://www.youtube.com/watch?v=MxiqyE2uMCo description=Equation of a line 2. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/v/equation-of-a-line-hairier-example?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/v/equation-of-a-line-1?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Checking solutions of two-variable linear inequalities example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/2oGsLdAWxlk/default.jpg URL=http://www.youtube.com/watch?v=2oGsLdAWxlk description=Learn how to check whether an ordered pair is a solution of a two-variable linear inequality, both graphically and algebraically. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/checking-solutions-of-inequalities/e/checking-solutions-to-two-var-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/checking-solutions-of-inequalities/v/testing-solutions-for-a-system-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/understanding-systems-of-equations-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel Line Equation thumb=https://i.ytimg.com/vi/4Cmv7dUgggU/default.jpg URL=http://www.youtube.com/watch?v=4Cmv7dUgggU description=u13_l2_t3_we2 Parallel Line Equation More free lessons at: http://www.khanacademy.org/video?v=4Cmv7dUgggU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Slope of Perpendicular Line thumb=https://i.ytimg.com/vi/h0SURLIImqk/default.jpg URL=http://www.youtube.com/watch?v=h0SURLIImqk description=u13_l2_t3_we1 Slope of Perpendicular Line/description type=video name=Negative numbers introduction | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Hlal9ME2Aig/default.jpg URL=http://www.youtube.com/watch?v=Hlal9ME2Aig description=Mysterious negative numbers! What ARE they? They are numbers less than zero. If you understand the nature of below zero temperatures, you can understand negative numbers. We'll help. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/e/number_line_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-sub-negatives-pre-alg/v/number-line-3-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic trigonometry II | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/G-T_6hCdMQc/default.jpg URL=http://www.youtube.com/watch?v=G-T_6hCdMQc description=A few more examples using SOH CAH TOA Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_1?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-trig-to-solve-the-sides-and-angles-of-a-right-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-using-soh-cah-toa?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic trigonometry | Basic trigonometry | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Jsiy4TxgIME/default.jpg URL=http://www.youtube.com/watch?v=Jsiy4TxgIME description=Introduction to trigonometry Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/e/trigonometry_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/example-using-soh-cah-toa?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Exercise Software thumb=https://i.ytimg.com/vi/hw5k98GV7po/default.jpg URL=http://www.youtube.com/watch?v=hw5k98GV7po description=Walkthrough of the software/description type=video name=Pangaea | Earth geological and climatic history | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/axB6uhEx628/default.jpg URL=http://www.youtube.com/watch?v=axB6uhEx628 description=Pangaea - the idea of Pangaea and some of the evidence behind it. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/compositional-and-mechanical-layers-of-the-earth?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/hawaiian-islands-formation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding dimensions of triangle from area | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/STcsaKuW-24/default.jpg URL=http://www.youtube.com/watch?v=STcsaKuW-24 description=Applications Problem Factoring Quadratics Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/factoring-quadratics/e/solving_quadratics_by_factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/factoring-quadratics/v/example-3-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/factoring-quadratics/v/example-1-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring the Difference of Cubes thumb=https://i.ytimg.com/vi/APJx1y78ovA/default.jpg URL=http://www.youtube.com/watch?v=APJx1y78ovA description=u12_l2_t3_we2 Factoring the Difference of Cubes/description type=video name=Solving quadratics by factoring thumb=https://i.ytimg.com/vi/uktzcTg_N7U/default.jpg URL=http://www.youtube.com/watch?v=uktzcTg_N7U description=u12_l3_t1_we2 Solving quadratics by factoring/description type=video name=Factoring trinomials with a non-1 leading coefficient by grouping thumb=https://i.ytimg.com/vi/ISPxJ6JXT8o/default.jpg URL=http://www.youtube.com/watch?v=ISPxJ6JXT8o description=u12_l2_t1_we3 Factoring trinomials with a non-1 leading coefficient by grouping More free lessons at: http://www.khanacademy.org/video?v=ISPxJ6JXT8o Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Solving factored equations thumb=https://i.ytimg.com/vi/8Olab1Es-eA/default.jpg URL=http://www.youtube.com/watch?v=8Olab1Es-eA description=u12_l3_t1_we1 Solving factored equations/description type=video name=Factoring sum of cubes | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Touv2APcBRw/default.jpg URL=http://www.youtube.com/watch?v=Touv2APcBRw description=Factoring Sum of Cubes Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/difference-of-cubes-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial-remainder-theorem-tutorial/v/polynomial-remainder-theorem-proof?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 4: Factoring quadratics as a perfect square of a difference: (a-b)^2 | Khan Academy thumb=https://i.ytimg.com/vi/liRNTieIU_k/default.jpg URL=http://www.youtube.com/watch?v=liRNTieIU_k description=Factor 25x^2-30x+9 as (5x-3)^2 or as (-5x+3)^2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/e/factoring-perfect-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/v/factoring-special-products-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/v/u09-l2-t1-we1-factoring-special-products-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Factoring trinomials with a common factor | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/GMoqg_s4Dl4/default.jpg URL=http://www.youtube.com/watch?v=GMoqg_s4Dl4 description=Factoring trinomials with a common factor Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_polynomials_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-special-products?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/example-2-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to grouping | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/nOZTe8jU2g4/default.jpg URL=http://www.youtube.com/watch?v=nOZTe8jU2g4 description=Factor t^2+8t+15 as (t+3)(t+5), first using the "sum-product" method, then using the grouping method. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/e/factoring_polynomials_by_grouping_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-trinomials-by-grouping-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-quadratic-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Factoring a difference of squares with two variables | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/tvnOWIoeeaU/default.jpg URL=http://www.youtube.com/watch?v=tvnOWIoeeaU description=Factor x^2-49y^2 as (x+7y)(x-7y). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_difference_of_squares_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/u09-l2-t1-we3-factoring-special-products-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-special-products?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factor expressions by grouping thumb=https://i.ytimg.com/vi/rR4FfB-FZJw/default.jpg URL=http://www.youtube.com/watch?v=rR4FfB-FZJw description=u12_l1_t1_we3 Factor expressions by grouping/description type=video name=Example 3: Factor a quartic binomial with two variables by taking a common factor | Khan Academy thumb=https://i.ytimg.com/vi/_sIuZHYrdWM/default.jpg URL=http://www.youtube.com/watch?v=_sIuZHYrdWM description=Factor 4x^4y+8x^3y as 4x^3y(x+2). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/e/factoring-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/v/factoring-and-the-distributive-property-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/v/factoring-and-the-distributive-property-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the greatest common factor of two monomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_01wqwsb66E/default.jpg URL=http://www.youtube.com/watch?v=_01wqwsb66E description=Find the greatest common factor of 10cd^2 and 25c^3d^2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-factorization/e/greatest_common_divisor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/v/factoring-linear-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/v/special-products-of-polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How we know about the earth's core | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/KL0i1RSnpfI/default.jpg URL=http://www.youtube.com/watch?v=KL0i1RSnpfI description=S-wave shadow and P-wave detection patterns give us information about the core. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/seismic-waves?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/compositional-and-mechanical-layers-of-the-earth?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The mohorovicic seismic discontinuity | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/yAQSucmHrAk/default.jpg URL=http://www.youtube.com/watch?v=yAQSucmHrAk description=The Mohorovicic Seismic Discontinuity- boundary between crust and mantle (or Moho). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/seasons-aren-t-dictated-by-closeness-to-sun?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/refraction-of-seismic-waves?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Refraction of seismic waves | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/UNZ171fDja4/default.jpg URL=http://www.youtube.com/watch?v=UNZ171fDja4 description=Refraction of Seismic Waves. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/the-mohorovicic-seismic-discontinuity?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/why-s-waves-only-travel-in-solids?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why S-waves only travel in solids | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/BTWLwoaNeBA/default.jpg URL=http://www.youtube.com/watch?v=BTWLwoaNeBA description=Why S-Waves Only Travel in Solids. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/refraction-of-seismic-waves?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/seismic-waves?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Seismic waves | Earth geological and climatic history | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/NhioAAdYDJM/default.jpg URL=http://www.youtube.com/watch?v=NhioAAdYDJM description=S-waves and P-waves. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/seismic-waves-tutorial/v/why-s-waves-only-travel-in-solids?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/how-we-know-about-the-earth-s-core?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compositional and mechanical layers of the earth | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/hHteUIS0OFY/default.jpg URL=http://www.youtube.com/watch?v=hHteUIS0OFY description=Crust, mantle, core, lithosphere, asthenosphere, mesosphere, outer core, inner core. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/how-we-know-about-the-earth-s-core?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/pangaea?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hawaiian islands formation | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/D1eibbfAEVk/default.jpg URL=http://www.youtube.com/watch?v=D1eibbfAEVk description=Hawaiian Islands formed by stationary hot spot under Pacific plate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/pangaea?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plates-moving-due-to-convection-in-mantle?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plates moving due to convection in mantle | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/f8GK2oEN-uI/default.jpg URL=http://www.youtube.com/watch?v=f8GK2oEN-uI description=Plates Moving Due to Convection in Mantle. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/hawaiian-islands-formation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics-geological-features-of-convergent-plate-boundaries?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plate Tectonics-- Geological features of Convergent Plate Boundaries thumb=https://i.ytimg.com/vi/Y0eWnOZpSpQ/default.jpg URL=http://www.youtube.com/watch?v=Y0eWnOZpSpQ description=Geological features of Convergent Plate Boundaries More free lessons at: http://www.khanacademy.org/video?v=Y0eWnOZpSpQ/description type=video name=Plate tectonics: Difference between crust and lithosphere | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/f2BWsPVN7c4/default.jpg URL=http://www.youtube.com/watch?v=f2BWsPVN7c4 description=Plate Tectonics Introduction and Difference between crust and lithosphere. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/structure-of-the-earth?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supermassive-black-holes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Structure of the Earth thumb=https://i.ytimg.com/vi/4AxZ-6MOznY/default.jpg URL=http://www.youtube.com/watch?v=4AxZ-6MOznY description=Structure of the Earth - crust, mantle, core More free lessons at: http://www.khanacademy.org/video?v=4AxZ-6MOznY/description type=video name=Plate tectonics: Geological features of divergent plate boundaries | Khan Academy thumb=https://i.ytimg.com/vi/FK1s1-OJ5BE/default.jpg URL=http://www.youtube.com/watch?v=FK1s1-OJ5BE description=Plate Tectonics -- Geological Features of Divergent Plate Boundaries. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics-geological-features-of-convergent-plate-boundaries?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson?https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics-evidence-of-plate-movement?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Plate tectonics: Evidence of plate movement | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/6EdsBabSZ4g/default.jpg URL=http://www.youtube.com/watch?v=6EdsBabSZ4g description=Plate Tectonics -- Evidence of plate movement. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plates-moving-due-to-convection-in-mantle?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics-geological-features-of-divergent-plate-boundaries?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan on KQED MindShift thumb=https://i.ytimg.com/vi/Tksh1zHEkIM/default.jpg URL=http://www.youtube.com/watch?v=Tksh1zHEkIM description=http://mindshift.kqed.org/2011/01/future-school-day-self-paced-learning-creating-and-collaborating//description type=video name=Exponent properties 3 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Of8ezQj1hRk/default.jpg URL=http://www.youtube.com/watch?v=Of8ezQj1hRk description=Exponent Properties 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties 4 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/X6zD3SoN3iY/default.jpg URL=http://www.youtube.com/watch?v=X6zD3SoN3iY description=Exponent Properties 4 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_rational_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties 6 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/BwmTemng9lc/default.jpg URL=http://www.youtube.com/watch?v=BwmTemng9lc description=Exponent Properties 6 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-7?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties 5 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/4jhG7g5qgO0/default.jpg URL=http://www.youtube.com/watch?v=4jhG7g5qgO0 description=Exponent Properties 5 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-6?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties 7 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/IF-8VOiEOes/default.jpg URL=http://www.youtube.com/watch?v=IF-8VOiEOes description=Exponent Properties 7 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/more-rational-exponents-and-exponent-laws?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-6?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying in scientific notation (example) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xxAFh-qHPPA/default.jpg URL=http://www.youtube.com/watch?v=xxAFh-qHPPA description=Learn how to solve a multiplication problem using scientific notation: (9.1 * 10^6)(3.2 * 10^-5) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/e/scientific_notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/orders-of-magnitude/v/patterns-in-zeros-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-i?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Express a small number in scientific notation (example) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/6phoVfGKKec/default.jpg URL=http://www.youtube.com/watch?v=6phoVfGKKec description=Can you imagine if you had to do calculations with very, very small numbers? How would you handle all those zeros to the right of the decimal? Thank goodness for scientific notation! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/e/scientific_notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Speed of light and distance from sun (scientific notation word problem) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/dD71fFNwVJw/default.jpg URL=http://www.youtube.com/watch?v=dD71fFNwVJw description=Amazingly, we can figure out how far the sun is from the earth if we know how to multiply numbers in scientific notation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/e/multiplying_and_dividing_scientific_notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/scientific-notation-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/multiplying-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Simplifying polynomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/vN0aL-_vIKM/default.jpg URL=http://www.youtube.com/watch?v=vN0aL-_vIKM description=Simplify 3x^2 - 8x + 7 + 2x^3 - x^2 + 8x - 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/adding-and-subtracting-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/multiplying-polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The parts of polynomial expressions | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/REiDXCN0lGU/default.jpg URL=http://www.youtube.com/watch?v=REiDXCN0lGU description=Learn about terms, coefficients, and exponents. The basic ingredients of polynomial expressions! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/addition-and-subtraction-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_ineq/v/quadratic-inequalities-visual-explanation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating a polynomial at a given value | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/03yq7XsErqo/default.jpg URL=http://www.youtube.com/watch?v=03yq7XsErqo description=Evaluate 3x^2-8x+7 when x=-2 Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/polynomials1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/terms-coefficients-and-exponents-in-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 4: Adding and subtracting polynomials | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/Oe1PKI_6-38/default.jpg URL=http://www.youtube.com/watch?v=Oe1PKI_6-38 description=Add (5x^2+8x-3) + (2x^2 - 7x + 13x). Created by Sal Khan and Monterey Institute for Technology and Education. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/v/adding-and-subtracting-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/v/simply-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Opposite of a Polynomial thumb=https://i.ytimg.com/vi/pb8vGcMlRmU/default.jpg URL=http://www.youtube.com/watch?v=pb8vGcMlRmU description=u11_l2_t2_we2 Opposite of a Polynomial/description type=video name=Example 3: Subtracting polynomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/5ZdxnFspyP8/default.jpg URL=http://www.youtube.com/watch?v=5ZdxnFspyP8 description=Simplify: (16x+14) - (3x^2 + x - 9) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/adding-and-subtracting-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/adding-and-subtracting-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Multiplying a monomial by a polynomial | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/pD2-H15ucNE/default.jpg URL=http://www.youtube.com/watch?v=pD2-H15ucNE description=Multiply -4x^2*(3x^2 + 25x - 7) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/e/finding-the-product-of-a-monomial-and-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-binomials/v/multiplying-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-and-dividing-monomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Multiplying a binomial by a binomial | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ZMLFfTX615w/default.jpg URL=http://www.youtube.com/watch?v=ZMLFfTX615w description=Multiply (3x+2)*(5x-7) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-binomials/e/multiplying_expressions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-monomials-by-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-and-dividing-monomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Multiplying two monomials with a single variable | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ssY1dFl7d30/default.jpg URL=http://www.youtube.com/watch?v=ssY1dFl7d30 description=Express the area of a rectangle with length 4y and width 2y as a monomial. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/e/finding-the-product-of-two-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-and-dividing-monomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/addition-and-subtraction-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying polynomials example | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/yJzLYa-_Y1k/default.jpg URL=http://www.youtube.com/watch?v=yJzLYa-_Y1k description=Multiplying Polynomials Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/multiplying_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/multiplying-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/addition-and-subtraction-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial divided by monomial | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/UquFdMg6Z_U/default.jpg URL=http://www.youtube.com/watch?v=UquFdMg6Z_U description=Polynomial divided by monomial Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-multivariable-polynomial-with-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/polynomial-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rational expressions (old video) | Algebra II | High School Geometry | Khan Academy thumb=https://i.ytimg.com/vi/4Eax48gDg9g/default.jpg URL=http://www.youtube.com/watch?v=4Eax48gDg9g description=Sal simplifies (28b^6)/(7b) as 4b^5. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/multiplying-and-dividing-rational-expressions/v/multiplying-and-dividing-rational-expressions-monomial-numerator-denominator?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/simplify-rational-expressions/v/simplifying-rational-expressions-w-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Multiplying binomials to get a difference of squares | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/h6HmHjkA034/default.jpg URL=http://www.youtube.com/watch?v=h6HmHjkA034 description=Multiply (2x+8)*(2x-8) and discover an interesting phenomenon. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/e/multiplying_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/v/square-a-binomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/v/special-products-of-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Finding the square of a binomial with one variable | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xjkbR7Gjgjs/default.jpg URL=http://www.youtube.com/watch?v=xjkbR7Gjgjs description=Multiply (7x+10)*(7x+10), also known as (7x+10)^2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/e/multiplying_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/v/special-products-of-polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/v/special-polynomials-products-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing polynomials 1 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/8Wxw9bpKEGQ/default.jpg URL=http://www.youtube.com/watch?v=8Wxw9bpKEGQ description=Dividing polynomials 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-polynomials-with-remainders?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-multivariable-polynomial-with-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing polynomials with remainders | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/pLCmwHsDYqo/default.jpg URL=http://www.youtube.com/watch?v=pLCmwHsDYqo description=Dividing polynomials with remainders Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-polynomials-with-remainders-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying an expression with multiple variables thumb=https://i.ytimg.com/vi/MjAcASWqZS4/default.jpg URL=http://www.youtube.com/watch?v=MjAcASWqZS4 description=u11_l3_t1_we2 Simplifying an expression with multiple variables/description type=video name=Evaluating an expression with multiple variables thumb=https://i.ytimg.com/vi/UH0HuxtBhEM/default.jpg URL=http://www.youtube.com/watch?v=UH0HuxtBhEM description=u11_l3_t1_we1 Evaluating an expression with multiple variables/description type=video name=Example 6: Subtracting polynomials with two variables | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AqMT_zB9rP8/default.jpg URL=http://www.youtube.com/watch?v=AqMT_zB9rP8 description=Simplify (4x^2y - 3xy + 25) - (9y^2x + 7xy - 20) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/e/adding-and-subtracting-polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/addition-and-subtraction-of-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/example-adding-polynomials-with-multiple-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing multivariable polynomial with monomial | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Yu00YJ3tAlo/default.jpg URL=http://www.youtube.com/watch?v=Yu00YJ3tAlo description=Dividing multivariable polynomial with monomial Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/dividing-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/polynomial-divided-by-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Multiplying a binomial by a polynomial | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/D6mivA_8L8U/default.jpg URL=http://www.youtube.com/watch?v=D6mivA_8L8U description=Multiply (10a-3)*(5a^2 + 7a - 1) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-binomials/e/multiplying_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-binomials/v/multiplying-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-binomials/v/multiplying-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating exponential expressions 3 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/U8kmaUXaPJY/default.jpg URL=http://www.youtube.com/watch?v=U8kmaUXaPJY description=Evaluating exponential expressions 3 Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/negative-and-positive-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating exponential expressions 2 | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/NEaLgGi4Vh4/default.jpg URL=http://www.youtube.com/watch?v=NEaLgGi4Vh4 description=Evaluating exponential expressions 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/e/evaluating_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/expressions-with-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluate-a-formula-using-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties 2 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tvj42WdKlH4/default.jpg URL=http://www.youtube.com/watch?v=tvj42WdKlH4 description=Exponent Properties 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating an algebraic expression with exponents | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/0uCslW40VHQ/default.jpg URL=http://www.youtube.com/watch?v=0uCslW40VHQ description=We're going to put our order of operations knowledge to work as we evaluate this expression. Exponents, specifically, are our focus here. Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-parts-of-expressions/v/expression-terms-factors-and-coefficients?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-7th-evaluating-expressions-word-problems/v/evaluating-expressions-3-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties 1 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/-TpiL4J_yUA/default.jpg URL=http://www.youtube.com/watch?v=-TpiL4J_yUA description=When multiplying numbers with common base, add exponents Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/exponent-properties-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/evaluating-exponential-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=China Pegs to Dollar to Keep Trade Imbalance thumb=https://i.ytimg.com/vi/A6iQDBrFnKI/default.jpg URL=http://www.youtube.com/watch?v=A6iQDBrFnKI type=video name=Floating Exchange Resolving Trade Imbalance thumb=https://i.ytimg.com/vi/JmXYQj0_1Vk/default.jpg URL=http://www.youtube.com/watch?v=JmXYQj0_1Vk type=video name=How to solve equations of the form x/a = b | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/DqeMQHomwAU/default.jpg URL=http://www.youtube.com/watch?v=DqeMQHomwAU description=Remember that what you do to one side, you have to do to the other. Will you multiply or divide both sides to dump the fraction, x/a? Let's do it together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/simple-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of plotting a simple inequality on a number line | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/dTwZ5N126gw/default.jpg URL=http://www.youtube.com/watch?v=dTwZ5N126gw description=Learn how to plot a simple inequality on a number line. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/e/inequalities_on_a_number_line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/cross-topic-arithmetic/v/rational-number-word-problem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/greater-than-less-than/v/inequalities-in-one-variable-1-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of solving a one-step equation | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/VidnbCEOGdg/default.jpg URL=http://www.youtube.com/watch?v=VidnbCEOGdg description=Learn how to solve this equation: a + 5 = 54 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/one_step_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-one-step-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Variables on both sides | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/CGS0vihzSlc/default.jpg URL=http://www.youtube.com/watch?v=CGS0vihzSlc description=Multi-step equations 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/solving-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ex 2: Distributive property to simplify | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/CJyVct57-9s/default.jpg URL=http://www.youtube.com/watch?v=CJyVct57-9s description=Multi-step equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/multistep_equations_with_distribution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solving-equations-with-the-distributive-property-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-Step Inequalities (old) thumb=https://i.ytimg.com/vi/hl7g82m_BgA/default.jpg URL=http://www.youtube.com/watch?v=hl7g82m_BgA description=u10_l2_t2_we1 Multi-Step Inequalities/description type=video name=Compound inequalities 2 | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/d2cnQ5ahHgE/default.jpg URL=http://www.youtube.com/watch?v=d2cnQ5ahHgE description=Compound Inequalities 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/e/compound_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compound-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compund-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equation special cases | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/zKotuhQWIRg/default.jpg URL=http://www.youtube.com/watch?v=zKotuhQWIRg description=Equation Special Cases Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/number-of-solutions-to-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/missing-steps?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound inequalities | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/0YErxSShF0A/default.jpg URL=http://www.youtube.com/watch?v=0YErxSShF0A description=Compound Inequalities Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/e/compound_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compund-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compound-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rearrange formulas to isolate specific variables | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/eTSVTTg_QZ4/default.jpg URL=http://www.youtube.com/watch?v=eTSVTTg_QZ4 description=Rearrange formulas to isolate specific variables Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/e/solving_for_a_variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/solving-for-a-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solutions-linear-equations/v/number-of-solutions-to-linear-equations-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Word problem: solving equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/iimpwYBiKNg/default.jpg URL=http://www.youtube.com/watch?v=iimpwYBiKNg description=Here's a nifty word problem in which we find the dimensions of a garden given only the perimeter. Let's create an equation to solve! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu/e/linear-equation-world-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu/v/linear-equation-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to evaluate an expression using substitution | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tC1SfxRvtmM/default.jpg URL=http://www.youtube.com/watch?v=tC1SfxRvtmM description=In this example we have a formula for converting Celsius temperature to Fahrenheit. Let's substitute the variable with a value (Celsius temp) to get the degrees in Fahrenheit. Great problem to practice with us! Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluating-exponential-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/variables-and-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value inequalities example 2 | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/YKQLZOq4HTA/default.jpg URL=http://www.youtube.com/watch?v=YKQLZOq4HTA description=Absolute Value Inequalities Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=One-step inequality involving addition | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/17a443nL7Qw/default.jpg URL=http://www.youtube.com/watch?v=17a443nL7Qw description=One-Step Inequalities Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/inequalities-using-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing with inequalities example | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/D1cKk48kz-E/default.jpg URL=http://www.youtube.com/watch?v=D1cKk48kz-E description=In addition to solving the inequality, we'll graph the solution. Remember to swap if you mutiply both sides of the inequality by a negative number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/one_step_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/inequalities-using-multiplication-and-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-step inequalities 2 | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XOAn5z8mkvI/default.jpg URL=http://www.youtube.com/watch?v=XOAn5z8mkvI description=Multi-Step Inequalities 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/linear_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound Inequalities 3 thumb=https://i.ytimg.com/vi/2ocKyW1L_hQ/default.jpg URL=http://www.youtube.com/watch?v=2ocKyW1L_hQ description=u10_l3_t1_we3 Compound Inequalities 3/description type=video name=Compound inequalities 4 | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ZF_cZ-GX9PI/default.jpg URL=http://www.youtube.com/watch?v=ZF_cZ-GX9PI description=Compound Inequalities 4 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/e/compound_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compound-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value equations example 1 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/LRlVWC0FMQc/default.jpg URL=http://www.youtube.com/watch?v=LRlVWC0FMQc description=Absolute Value Equations Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute Value Equations 2 thumb=https://i.ytimg.com/vi/w5YltRetIQ0/default.jpg URL=http://www.youtube.com/watch?v=w5YltRetIQ0 description=u10_l3_t2_we3 Absolute Value Equations 2/description type=video name=First living things on land clarification | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/3gUE_P9T-Wk/default.jpg URL=http://www.youtube.com/watch?v=3gUE_P9T-Wk description=First living things on land clarification (This video copyrighted under Create Commons Attribution and Share-Alike CC-BY-SA license). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/humanity-on-earth-tutorial/v/human-evolution-overview?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/biodiversity-flourishes-in-phanerozoic-eon?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Biodiversity flourishes in Phanerozoic eon | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/MS7x2hDEhrw/default.jpg URL=http://www.youtube.com/watch?v=MS7x2hDEhrw description=Cambrian explosion and biodiversity in the Phanerozoic Eon. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/first-living-things-on-land-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ozone layer and eukaryotes show up in the Proterozoic eon | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/E1P79uFLCMc/default.jpg URL=http://www.youtube.com/watch?v=E1P79uFLCMc description=Ozone layer and eukaryotes show up in the Proterozoic eon. Great oxygenation event (oxygen catastrophe). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/biodiversity-flourishes-in-phanerozoic-eon?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/beginnings-of-life?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Beginnings of life | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/nYFuxTXDj90/default.jpg URL=http://www.youtube.com/watch?v=nYFuxTXDj90 description=Life and photosynthesis start to thrive in the Archean Eon. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/ozone-layer-and-eukaryotes-show-up-in-the-proterozoic-eon?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/earth-formation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Earth formation | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/VbNXh0GaLYo/default.jpg URL=http://www.youtube.com/watch?v=VbNXh0GaLYo description=How the Earth is a the byproduct of a local supernova. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/history-life-earth-tutorial/v/beginnings-of-life?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/earth-title-topic/v/apsidal-precession-perihelion-precession-and-milankovitch-cycles?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Locate integers on a number line thumb=https://i.ytimg.com/vi/pc4r1Z2PwWo/default.jpg URL=http://www.youtube.com/watch?v=pc4r1Z2PwWo description=U09_L1_T2_we1 Locate integers on a number line/description type=video name=Adding numbers with different signs (example) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NrVvu7cM8_o/default.jpg URL=http://www.youtube.com/watch?v=NrVvu7cM8_o description=Use a number line to add 15 + (-46) + 29 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/e/adding_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/why-subtracting-a-negative-equivalent-to-adding-a-positive?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/adding-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals and fractions on a number line | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/uC09taczvOo/default.jpg URL=http://www.youtube.com/watch?v=uC09taczvOo description=We're mixing it up by placing both fractions and decimals on the same number line. Great practice because you need to move effortlessly between the two. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/e/decimals_on_the_number_line_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/v/positive-and-negative-decimals-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimals-on-number-line-pre-alg/v/decimals-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value of integers | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/r6hS_8nm1jM/default.jpg URL=http://www.youtube.com/watch?v=r6hS_8nm1jM description=Let's mix a little algebra into our discussion of absolute value. What if we are looking for the |x|? If we know what x equals, we can do it. Follow along. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/e/comparing_absolute_values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/comparing-absolute-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to evaluate an expression with variables | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AJNDeVt9UOo/default.jpg URL=http://www.youtube.com/watch?v=AJNDeVt9UOo description=Learn how to evaluate an expression with variables using a technique called substitution (or "plugging in"). Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluate-a-formula-using-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/why-aren-t-we-using-the-multiplication-sign?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number Sets thumb=https://i.ytimg.com/vi/pu4tn_Yl4_k/default.jpg URL=http://www.youtube.com/watch?v=pu4tn_Yl4_k description=U09_L1_T3_we3 Number Sets/description type=video name=Opposite of a given number thumb=https://i.ytimg.com/vi/zsnkK43UtfY/default.jpg URL=http://www.youtube.com/watch?v=zsnkK43UtfY description=U09_L1_T2_we2 Opposite of a given number/description type=video name=Adding fractions with different signs | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QS1LMomm0Gk/default.jpg URL=http://www.youtube.com/watch?v=QS1LMomm0Gk description=Use a number line to add fractions with different signs. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/e/adding_and_subtracting_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/adding-fractions-with-like-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/subtracting-fractions-with-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding real numbers with different signs thumb=https://i.ytimg.com/vi/3O1wcDGXEgA/default.jpg URL=http://www.youtube.com/watch?v=3O1wcDGXEgA description=U09_L2_T2_we1 Adding real numbers with different signs/description type=video name=Adding integers with same sign thumb=https://i.ytimg.com/vi/j3ty_c9Fulg/default.jpg URL=http://www.youtube.com/watch?v=j3ty_c9Fulg description=U09_L2_T1_we1 Adding integers with same sign/description type=video name=Identity property of 0 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/uXTRmzXlorI/default.jpg URL=http://www.youtube.com/watch?v=uXTRmzXlorI description=Identity property of 0 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/inverse-property-of-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/identity-property-of-1-second-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Application of addition of real numbers thumb=https://i.ytimg.com/vi/5liQvZAC7-Q/default.jpg URL=http://www.youtube.com/watch?v=5liQvZAC7-Q description=U09_L2_T2_we4 Application of addition of real numbers/description type=video name=Subtracting real numbers thumb=https://i.ytimg.com/vi/yeiroTpHFmg/default.jpg URL=http://www.youtube.com/watch?v=yeiroTpHFmg description=U09_L2_T3_we1 Subtracting real numbers/description type=video name=Dividing real numbers with different signs thumb=https://i.ytimg.com/vi/hrNeFsCBq_8/default.jpg URL=http://www.youtube.com/watch?v=hrNeFsCBq_8 description=U09_L2_T4_we2 Dividing real numbers with different signs/description type=video name=Adding and subtracting real numbers application thumb=https://i.ytimg.com/vi/T2RQxi76aig/default.jpg URL=http://www.youtube.com/watch?v=T2RQxi76aig description=U09_L2_T3_we3 Adding and subtracting real numbers application/description type=video name=Adding and subtracting real numbers thumb=https://i.ytimg.com/vi/jvad-axh3ww/default.jpg URL=http://www.youtube.com/watch?v=jvad-axh3ww description=U09_L2_T3_we2 Adding and subtracting real numbers/description type=video name=Multiplying numbers with different signs | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4ve7OaCnDLs/default.jpg URL=http://www.youtube.com/watch?v=4ve7OaCnDLs description=Find the product of numbers with different signs. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/e/multiplying_and_dividing_negative_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/mult-div-negatives-pre-alg/v/multiplying-and-dividing-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/dividing-positive-and-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying real number application thumb=https://i.ytimg.com/vi/BdDkQJ0rolc/default.jpg URL=http://www.youtube.com/watch?v=BdDkQJ0rolc description=U09_L2_T4_we4 Multiplying real number application/description type=video name=Identity property of 1 (second example) | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/_86K0yQ8BQY/default.jpg URL=http://www.youtube.com/watch?v=_86K0yQ8BQY description=Identity property of 1 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/identity-property-of-0?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/identity-property-of-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order of operations example: putting it all together | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gjrGd9TjjnY/default.jpg URL=http://www.youtube.com/watch?v=gjrGd9TjjnY description=Simplify this tricky expression using the order of operations. Expression include negative numbers and exponents. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/e/order_of_operations_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/more-complicated-order-of-operations-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/order-of-operations?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Commutative property for addition | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/UeG_EYd-0xw/default.jpg URL=http://www.youtube.com/watch?v=UeG_EYd-0xw description=Commutative Property for Addition Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/commutative-law-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/commutative-law-of-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Associative property for multiplication thumb=https://i.ytimg.com/vi/fUgkIcx82xY/default.jpg URL=http://www.youtube.com/watch?v=fUgkIcx82xY description=U09_L3_T1_we2 Associative property for multiplication/description type=video name=Distributive property 3 thumb=https://i.ytimg.com/vi/uu0Cchc7T14/default.jpg URL=http://www.youtube.com/watch?v=uu0Cchc7T14 description=U09_L3_T1_we3 Distributive property/description type=video name=Order of Operations 2 (old) thumb=https://i.ytimg.com/vi/_sJXUM8W4LY/default.jpg URL=http://www.youtube.com/watch?v=_sJXUM8W4LY description=U09_L4_T1_we2 Order of Operations 2/description type=video name=Forbes Names You Need To Know: Khan Academy thumb=https://i.ytimg.com/vi/UkfppuS0Plg/default.jpg URL=http://www.youtube.com/watch?v=UkfppuS0Plg description=Forbes Names You Need To Know: Khan Academy/description type=video name=2003 AIME II problem 15 (part 3) | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/JTpXK2mENH4/default.jpg URL=http://www.youtube.com/watch?v=JTpXK2mENH4 description=Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial. Created by Sal Khan. Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-15-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 15 (part 2) | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/TljVBB7gxbE/default.jpg URL=http://www.youtube.com/watch?v=TljVBB7gxbE description=Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-15-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-15-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 15 (part 1) | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/2eLAEMRrR7Q/default.jpg URL=http://www.youtube.com/watch?v=2eLAEMRrR7Q description=Finding the sum of the absolute value of the imaginary parts of the square of the roots of a crazy polynomial. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-15-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-14?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trig challenge problem: area of a hexagon | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/Ec-BKdC8vOo/default.jpg URL=http://www.youtube.com/watch?v=Ec-BKdC8vOo description=Sal solves a very complicated geometrical trig problem that appeared as problem 14 in the 2003 AIME II exam. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-15-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-13?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trig challenge problem: area of a triangle | Khan Academy thumb=https://i.ytimg.com/vi/smtrrefmC40/default.jpg URL=http://www.youtube.com/watch?v=smtrrefmC40 description=Sal solves a very complicated geometrical trig problem that appeared as problem 11 in the 2003 AIME II exam. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-12?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-10?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 10 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/Hh3iY4tdkGI/default.jpg URL=http://www.youtube.com/watch?v=Hh3iY4tdkGI description=Perfect squares integers square root. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-11-avi?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-9?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 9 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/ZSESJ8TeGSI/default.jpg URL=http://www.youtube.com/watch?v=ZSESJ8TeGSI description=Sum of polynomial evaluated at roots of another polynomial. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-10?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-squares-of-polynomial-roots?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of squares of polynomial roots | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/bbeWLtarzrE/default.jpg URL=http://www.youtube.com/watch?v=bbeWLtarzrE description=Sum of Squares of Polynomial Roots (Newton Sums). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-9?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-polynomial-roots-proof?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of polynomial roots (proof) | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/9eWyvWq9CCs/default.jpg URL=http://www.youtube.com/watch?v=9eWyvWq9CCs description=Sum of Polynomial Roots. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-squares-of-polynomial-roots?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-8?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 12 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/KD46pC_KFWk/default.jpg URL=http://www.youtube.com/watch?v=KD46pC_KFWk description=Minimum members in a committee. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-13?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-11-avi?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 13 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/vKMNRcctwL4/default.jpg URL=http://www.youtube.com/watch?v=vKMNRcctwL4 description=Probability of moving to a vertex. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-14?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-12?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 8 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/ZFN63oTeYzc/default.jpg URL=http://www.youtube.com/watch?v=ZFN63oTeYzc description=Sequence from the product of 2 arithmetic sequences. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-polynomial-roots-proof?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-7?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 7 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/jpKjXtywTlQ/default.jpg URL=http://www.youtube.com/watch?v=jpKjXtywTlQ description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-8?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-6?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rhombus diagonals | Quadrilaterals | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/_QTFeOvPcbY/default.jpg URL=http://www.youtube.com/watch?v=_QTFeOvPcbY description=Proof that the diagonals of a rhombus are perpendicular bisectors of each other Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/recognizing-points-on-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/whether-a-special-quadrilateral-can-exist?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area circumradius formula proof | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/x_aax6LSRtE/default.jpg URL=http://www.youtube.com/watch?v=x_aax6LSRtE description=Proof of the formula relating the area of a triangle to its circumradius. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-6?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-5-minor-correction?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle medians and centroids (2D proof) | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Vc09LURoMQ8/default.jpg URL=http://www.youtube.com/watch?v=Vc09LURoMQ8 description=Showing that the centroid is 2/3 of the way along a median Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/medians-divide-into-smaller-triangles-of-equal-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/triangle-medians-and-centroids?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 6 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/l9j26EOvTYc/default.jpg URL=http://www.youtube.com/watch?v=l9j26EOvTYc description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-7?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/area-circumradius-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 5 minor correction | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/yXg5CYuCcU4/default.jpg URL=http://www.youtube.com/watch?v=yXg5CYuCcU4 description=2003 AIME II Problem 5 Minor Correction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/area-circumradius-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-5?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triangle medians and centroids | Special properties and parts of triangles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/GiGLhXFBtRg/default.jpg URL=http://www.youtube.com/watch?v=GiGLhXFBtRg description=Seeing that the centroid is 2/3 of the way along every median Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/medians_centroids/v/triangle-medians-and-centroids-2d-proof?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/triangle-properties/angle_bisectors/v/angle-bisector-theorem-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 5 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/EzE53aPGbrQ/default.jpg URL=http://www.youtube.com/watch?v=EzE53aPGbrQ description=Volume of a wedge cut from a cylindrical log. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-5-minor-correction?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-4-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of factors 2 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/tbQ_7zvRoN4/default.jpg URL=http://www.youtube.com/watch?v=tbQ_7zvRoN4 description=Seeing the "formula" in the last method. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-4-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-factors-of-27000?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sum of factors of 27000 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/17st-s5gg10/default.jpg URL=http://www.youtube.com/watch?v=17st-s5gg10 description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-factors-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-3?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 4 (part 1) | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/gXnHodHNusg/default.jpg URL=http://www.youtube.com/watch?v=gXnHodHNusg description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-4-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-factors-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 4 (part 2) | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/wQ34EIfd-5A/default.jpg URL=http://www.youtube.com/watch?v=wQ34EIfd-5A description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-5?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-4-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II problem 3 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/JU67TL2L1CA/default.jpg URL=http://www.youtube.com/watch?v=JU67TL2L1CA description=2003 AIME II Problem 3. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/sum-of-factors-of-27000?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2003 AIME II Problem 2 thumb=https://i.ytimg.com/vi/4sIuGOxB6hQ/default.jpg URL=http://www.youtube.com/watch?v=4sIuGOxB6hQ description=2003 AIME II Problem 2/description type=video name=2003 AIME II problem 1 | AIME | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/JPQ8cfOsYxo/default.jpg URL=http://www.youtube.com/watch?v=JPQ8cfOsYxo description=2003 AIME II Problem 1. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-3?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/amc-10/2013-amc-10-a/v/2013-amc-10-a-25?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple Differential Equation Example thumb=https://i.ytimg.com/vi/fqnPabGV6A4/default.jpg URL=http://www.youtube.com/watch?v=fqnPabGV6A4 description=2010 IIT JEE Paper 1 Problem 56 Differential Equation More free lessons at: http://www.khanacademy.org/video?v=fqnPabGV6A4/description type=video name=Trigonometric system example | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Y2ed-g8Lpdc/default.jpg URL=http://www.youtube.com/watch?v=Y2ed-g8Lpdc description=2010 IIT JEE Paper 1 Problem 55 Trigonometric System This is the last video in our trigonometry subject! Now move on to our first video in Probability and statistics: https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/v/basic-probability?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/iit-jee-trigonometric-constraints?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Series sum example | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/A6fbDssPeac/default.jpg URL=http://www.youtube.com/watch?v=A6fbDssPeac description=2010 IIT JEE Paper 1 Problem 54 Series Sum Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/advanced-sequences-series/v/2003-aime-ii-problem-8?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex determinant example | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/E7OkUomRq1Q/default.jpg URL=http://www.youtube.com/watch?v=E7OkUomRq1Q description=2010 IIT JEE Paper 1 Problem 53 Complex Determinant Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/basic_prob_precalc/v/basic-probability?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_number_challenge/v/iit-jee-complex-numbers-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Periodic Definite Integral thumb=https://i.ytimg.com/vi/CZdziIlYIfI/default.jpg URL=http://www.youtube.com/watch?v=CZdziIlYIfI description=2010 IIT JEE Paper 1 Problem 52 Periodic Definite Integral. The second term at about minute 14 should have a positive sign. Luckily, it doesn't effect the final answer! More free lessons at: http://www.khanacademy.org/video?v=CZdziIlYIfI/description type=video name=Distance between planes | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/v8plb6V8BQo/default.jpg URL=http://www.youtube.com/watch?v=v8plb6V8BQo description=2010 IIT JEE Paper 1 Problem 51 Distance Between Planes Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-1?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/point-distance-to-plane?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Point distance to plane | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/7rIFO8hct9g/default.jpg URL=http://www.youtube.com/watch?v=7rIFO8hct9g description=Distance between a point and a plane in three dimensions Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/distance-between-planes?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/normal-vector-from-plane-equation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Normal vector from plane equation | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gw-4wltP5tY/default.jpg URL=http://www.youtube.com/watch?v=gw-4wltP5tY description=Figuring out a normal vector to a plane from its equation Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/point-distance-to-plane?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-triple-product-expansion-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2010 IIT JEE Paper 1 Problem 50 Hyperbola Eccentricity thumb=https://i.ytimg.com/vi/4ES_vbSJ7LU/default.jpg URL=http://www.youtube.com/watch?v=4ES_vbSJ7LU type=video name=Tangent line hyperbola relationship (very optional) | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/c_8QQbVQKU0/default.jpg URL=http://www.youtube.com/watch?v=c_8QQbVQKU0 description=How a tangent line relates to a hyperbola. Might be useful for some competitive exams where there isn't time to derive (like we are doing in this video) Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/algebra-conic-sections?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE Lagrange's Formula thumb=https://i.ytimg.com/vi/rndex9FCIdo/default.jpg URL=http://www.youtube.com/watch?v=rndex9FCIdo description=2010 IIT JEE Paper 1 Problem 49 Lagrange's Formula More free lessons at: http://www.khanacademy.org/video?v=rndex9FCIdo/description type=video name=Vector triple product expansion (very optional) | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/b7JTVLc_aMk/default.jpg URL=http://www.youtube.com/watch?v=b7JTVLc_aMk description=A shortcut for having to evaluate the cross product of three vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/normal-vector-from-plane-equation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/dot-and-cross-product-comparison-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE trigonometric maximum | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/tzR9jUCSniQ/default.jpg URL=http://www.youtube.com/watch?v=tzR9jUCSniQ description=2010 IIT JEE Paper 1 Problem 48 Trigonometric Maximum Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/iit-jee-trigonometric-constraints?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/iit-jee-trigonometry-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE trigonometric constraints | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/EjtjdJZ2x8w/default.jpg URL=http://www.youtube.com/watch?v=EjtjdJZ2x8w description=2010 IIT JEE Paper 1 Problem 47 Trigonometric Constraints Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/trigonometric-system-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/iit-jee-trigonometric-maximum?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE circle hyperbola common tangent part 5 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/rPoqpQcgNv4/default.jpg URL=http://www.youtube.com/watch?v=rPoqpQcgNv4 description=2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 5 Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-intersection?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE circle hyperbola common tangent part 4 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/eGo8C2Jshzs/default.jpg URL=http://www.youtube.com/watch?v=eGo8C2Jshzs description=2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 4 Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE circle hyperbola common tangent part 3 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/RomnHMWSLoE/default.jpg URL=http://www.youtube.com/watch?v=RomnHMWSLoE description=2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE circle hyperbola common tangent part 2 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/0imeUgSxR10/default.jpg URL=http://www.youtube.com/watch?v=0imeUgSxR10 description=2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent Part 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE circle hyperbola common tangent part 1 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/MhLfun2Vask/default.jpg URL=http://www.youtube.com/watch?v=MhLfun2Vask description=2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tan Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/tangent-line-hyperbola-relationship-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE circle hyperbola intersection | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/6g3DPg2HqGw/default.jpg URL=http://www.youtube.com/watch?v=6g3DPg2HqGw description=2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection Watch the next lesson: https://www.khanacademy.org/math/algebra2/alg2-matrices/basic-matrix-operations-alg2/v/introduction-to-the-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/iit-jee-circle-hyperbola-common-tangent-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE Divisible Determinants thumb=https://i.ytimg.com/vi/9vlsBN3pFE0/default.jpg URL=http://www.youtube.com/watch?v=9vlsBN3pFE0 description=2010 IIT JEE Paper 1 Problem 44 Divisible Determinants 2 More free lessons at: http://www.khanacademy.org/video?v=9vlsBN3pFE0/description type=video name=IIT JEE Trace and Determinant thumb=https://i.ytimg.com/vi/5S03uylNn-Q/default.jpg URL=http://www.youtube.com/watch?v=5S03uylNn-Q description=2010 IIT JEE Paper 1 Problem 43 Trace and Determinant More free lessons at: http://www.khanacademy.org/video?v=5S03uylNn-Q/description type=video name=IIT JEE Symmetric and Skew-Symmetric Matrices thumb=https://i.ytimg.com/vi/G6OoxGmJzuc/default.jpg URL=http://www.youtube.com/watch?v=G6OoxGmJzuc description=2010 IIT JEE Paper 1 Problem 42 Symmetric and Skew-Symmetric Matrices More free lessons at: http://www.khanacademy.org/video?v=G6OoxGmJzuc/description type=video name=IIT JEE Integral with Binomial Expansion thumb=https://i.ytimg.com/vi/1-5sTDLrcp4/default.jpg URL=http://www.youtube.com/watch?v=1-5sTDLrcp4 description=2010 IIT JEE Paper 1 Problem 41 Integral with Binomial Expansion and Algebraic Long Division More free lessons at: http://www.khanacademy.org/video?v=1-5sTDLrcp4/description type=video name=IIT JEE Differentiability and Boundedness thumb=https://i.ytimg.com/vi/FIt1RNiCO6U/default.jpg URL=http://www.youtube.com/watch?v=FIt1RNiCO6U description=2010 IIT JEE Paper 1 Problem 40 Differentiability and Boundedness More free lessons at: http://www.khanacademy.org/video?v=FIt1RNiCO6U/description type=video name=IIT JEE complex numbers (part 3) | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/FwA_UZkI-JM/default.jpg URL=http://www.youtube.com/watch?v=FwA_UZkI-JM description=2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 3) Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_number_challenge/v/complex-determinant-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_number_challenge/v/iit-jee-complex-numbers-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE complex numbers (part 2) | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/pQwoBOpVoWw/default.jpg URL=http://www.youtube.com/watch?v=pQwoBOpVoWw description=2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 2) Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_number_challenge/v/iit-jee-complex-numbers-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_number_challenge/v/iit-jee-complex-numbers-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE complex numbers (part 1) | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/_5ei_I02huY/default.jpg URL=http://www.youtube.com/watch?v=_5ei_I02huY description=2010 IIT JEE Paper 1 Problem 39 Complex Numbers (part 1) Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_number_challenge/v/iit-jee-complex-numbers-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/v/exponential-form-to-find-complex-roots?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex conjugates | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/BZxZ_eEuJBM/default.jpg URL=http://www.youtube.com/watch?v=BZxZ_eEuJBM description=Complex Conjugates Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/complex-conjugates-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/multiplying-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential form to find complex roots | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/N0Y8ia57C24/default.jpg URL=http://www.youtube.com/watch?v=N0Y8ia57C24 description=Using exponential form to find complex roots Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_number_challenge/v/iit-jee-complex-numbers-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/exponential-form-complex-numbers/v/powers-of-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic complex analysis | Imaginary and complex numbers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/FwuPXchH2rA/default.jpg URL=http://www.youtube.com/watch?v=FwuPXchH2rA description=Argand Diagram, magnitude, modulus, argument, exponential form Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_analysis/v/absolute-value-of-a-complex-number?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex/v/dividing-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=IIT JEE Hairy Trig and Algebra (Part 3) thumb=https://i.ytimg.com/vi/KVRpXvrsSKM/default.jpg URL=http://www.youtube.com/watch?v=KVRpXvrsSKM description=2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 3) More free lessons at: http://www.khanacademy.org/video?v=KVRpXvrsSKM/description type=video name=IIT JEE Hairy Trig and Algebra (Part 2) thumb=https://i.ytimg.com/vi/6t9ogglXNIM/default.jpg URL=http://www.youtube.com/watch?v=6t9ogglXNIM description=2010 IIT JEE Paper 1 #38 Hairy Trig and Algebra (Part 2) More free lessons at: http://www.khanacademy.org/video?v=6t9ogglXNIM/description type=video name=IIT JEE Hairy Trig and Algebra (part 1) thumb=https://i.ytimg.com/vi/dOxXl_6BDQc/default.jpg URL=http://www.youtube.com/watch?v=dOxXl_6BDQc description=2010 Paper 1 problem 38 Hairy Trig and Algebra.avi More free lessons at: http://www.khanacademy.org/video?v=dOxXl_6BDQc/description type=video name=IIT JEE Diameter Slope thumb=https://i.ytimg.com/vi/pdXcf5ZWHf0/default.jpg URL=http://www.youtube.com/watch?v=pdXcf5ZWHf0 description=2010 IIT JEE Paper 1 problem 37 Diameter Slope More free lessons at: http://www.khanacademy.org/video?v=pdXcf5ZWHf0/description type=video name=IIT JEE Function Maxima thumb=https://i.ytimg.com/vi/2E_DB5VuAoo/default.jpg URL=http://www.youtube.com/watch?v=2E_DB5VuAoo description=2010 IIT JEE Paper 1 problem 36 Function Maxima More free lessons at: http://www.khanacademy.org/video?v=2E_DB5VuAoo/description type=video name=IIT JEE Algebraic Manipulation thumb=https://i.ytimg.com/vi/zs5LM7dxyTo/default.jpg URL=http://www.youtube.com/watch?v=zs5LM7dxyTo description=2010 Paper 1 problem 35 Algebraic Manipulation More free lessons at: http://www.khanacademy.org/video?v=zs5LM7dxyTo/description type=video name=IIT JEE Integral Limit thumb=https://i.ytimg.com/vi/pnwrNnZGVEw/default.jpg URL=http://www.youtube.com/watch?v=pnwrNnZGVEw description=2010 IIT JEE Paper 1 #34 Integral Limit More free lessons at: http://www.khanacademy.org/video?v=pnwrNnZGVEw/description type=video name=IIT JEE Matrix Equations thumb=https://i.ytimg.com/vi/DI34LspKqNY/default.jpg URL=http://www.youtube.com/watch?v=DI34LspKqNY description=2010 Paper 1 problem 33 Matrix Equation Solutions/description type=video name=IIT JEE Position Vectors thumb=https://i.ytimg.com/vi/GDXyGy5TjnI/default.jpg URL=http://www.youtube.com/watch?v=GDXyGy5TjnI description=2010 IIT JEE Paper 1 problem 32 Position Vectors More free lessons at: http://www.khanacademy.org/video?v=GDXyGy5TjnI/description type=video name=IIT JEE Complex Root Probability (part 1) thumb=https://i.ytimg.com/vi/bV_HSZ_W0nk/default.jpg URL=http://www.youtube.com/watch?v=bV_HSZ_W0nk description=2010 Paper 1 problem 31 Math (part 1) More free lessons at: http://www.khanacademy.org/video?v=bV_HSZ_W0nk/description type=video name=IIT JEE Complex Root Probability (part 2) thumb=https://i.ytimg.com/vi/S3KMyYYGuPE/default.jpg URL=http://www.youtube.com/watch?v=S3KMyYYGuPE description=2010 Paper 1 problem 31 Math (part 2).avi More free lessons at: http://www.khanacademy.org/video?v=S3KMyYYGuPE/description type=video name=IIT JEE Perpendicular Plane (part 2) thumb=https://i.ytimg.com/vi/66pQLO--Ghk/default.jpg URL=http://www.youtube.com/watch?v=66pQLO--Ghk description=2010 IIT JEE Paper 1 #30 normal vector and planes (Part 2) More free lessons at: http://www.khanacademy.org/video?v=66pQLO--Ghk/description type=video name=IIT JEE Perpendicular Planes (Part 1) thumb=https://i.ytimg.com/vi/2u535-HVJ_o/default.jpg URL=http://www.youtube.com/watch?v=2u535-HVJ_o description=2010 IIT JEE Paper 1 #30 normal vector and planes (Part 1) More free lessons at: http://www.khanacademy.org/video?v=2u535-HVJ_o/description type=video name=IIT JEE trigonometry problem 1 | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/X7GT9JKoAbo/default.jpg URL=http://www.youtube.com/watch?v=X7GT9JKoAbo description=2010 IIT JEE Paper I #29 Trigonometry problem Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/iit-jee-trigonometric-maximum?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/2003-aime-ii-problem-14?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Object image height and distance relationship | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/acQYX4nwhCk/default.jpg URL=http://www.youtube.com/watch?v=acQYX4nwhCk description=Object Image Height and Distance Relationship. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/thin-lens-equation-and-problem-solving?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/object-image-and-focal-distance-relationship-proof-of-formula?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Object image and focal distance relationship (proof of formula) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/rse0I7rZ8jM/default.jpg URL=http://www.youtube.com/watch?v=rse0I7rZ8jM description=Object Image and Focal Distance Relationship (Proof of Formula). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/object-image-height-and-distance-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/concave-lenses?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Concave lenses | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Vh70PyitQzo/default.jpg URL=http://www.youtube.com/watch?v=Vh70PyitQzo description=Concave Lenses. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/object-image-and-focal-distance-relationship-proof-of-formula?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/convex-lens-examples?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Convex lens examples | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/xxF_mdoZom0/default.jpg URL=http://www.youtube.com/watch?v=xxF_mdoZom0 description=Convex Lens Examples. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/concave-lenses?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/convex-lenses?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Convex lenses | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/K0sjZ5nqQ7g/default.jpg URL=http://www.youtube.com/watch?v=K0sjZ5nqQ7g description=Convex Lenses. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/convex-lens-examples?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/convex-parabolic-mirrors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Convex parabolic mirrors | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/dWY25vb1ZB0/default.jpg URL=http://www.youtube.com/watch?v=dWY25vb1ZB0 description=Convex Parabolic Mirrors. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/convex-lenses?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/parabolic-mirrors-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parabolic mirrors 2 | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/7m0u6dxA5Xo/default.jpg URL=http://www.youtube.com/watch?v=7m0u6dxA5Xo description=Parabolic Mirrors 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/convex-parabolic-mirrors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/parabolic-mirrors-and-real-images?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parabolic mirrors and real images | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/8X1AS9qD5AQ/default.jpg URL=http://www.youtube.com/watch?v=8X1AS9qD5AQ description=Parabolic Mirrors and Real Images. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/parabolic-mirrors-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/virtual-image?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Virtual image | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/nrOg85VPQgw/default.jpg URL=http://www.youtube.com/watch?v=nrOg85VPQgw description=Virtual Image. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/mirrors-and-lenses/v/parabolic-mirrors-and-real-images?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/dispersion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Total internal reflection | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/WRuatAcd2WY/default.jpg URL=http://www.youtube.com/watch?v=WRuatAcd2WY description=Critical incident angle and total internal reflection. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/dispersion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/snell-s-law-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Snell's law example 2 | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/10LuSfZZa3E/default.jpg URL=http://www.youtube.com/watch?v=10LuSfZZa3E description=Snell's Law Example 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/total-internal-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/snell-s-law-examples-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Snell's law example 1 | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/HahjsBApxLE/default.jpg URL=http://www.youtube.com/watch?v=HahjsBApxLE description=Snell's Law Example 1. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/snell-s-law-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/refraction-in-water?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Refraction in water | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/jxptCXHLxKQ/default.jpg URL=http://www.youtube.com/watch?v=jxptCXHLxKQ description=Refraction in Water. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/snell-s-law-examples-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/refraction-and-snell-s-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Refraction and Snell's law | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/y55tzg_jW9I/default.jpg URL=http://www.youtube.com/watch?v=y55tzg_jW9I description=Refraction and Snell's Law. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/refraction-in-water?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/specular-and-diffuse-reflection-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Specular and diffuse reflection 2 | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/XR52dXLyz-M/default.jpg URL=http://www.youtube.com/watch?v=XR52dXLyz-M description=Specular and Diffuse Reflection 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/refraction-and-snell-s-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/specular-and-diffuse-reflection?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Specular and diffuse reflection | Geometric optics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/sd0BOnN6aNY/default.jpg URL=http://www.youtube.com/watch?v=sd0BOnN6aNY description=Specular and Diffuse Reflection. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/geometric-optics/reflection-refraction/v/specular-and-diffuse-reflection-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/light-waves/interference-of-light-waves/v/thin-film-interference-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Carbon 14 dating 2 | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/4YUtnod-YuE/default.jpg URL=http://www.youtube.com/watch?v=4YUtnod-YuE description=Carbon 14 Dating 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/potassium-argon-k-ar-dating?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/carbon-14-dating-1?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Carbon 14 dating 1 | Life on earth and in the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/8wYvKeSK1IY/default.jpg URL=http://www.youtube.com/watch?v=8wYvKeSK1IY description=Carbon 14 Dating 1. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/carbon-14-dating-2?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/life-earth-universe/measuring-age-tutorial/v/chronometric-revolution?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Galactic collisions | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/QXYbGZ3T3_k/default.jpg URL=http://www.youtube.com/watch?v=QXYbGZ3T3_k description=Collision of the Milky Way Galaxy with Andromeda (forming "Milkomeda"). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/parallax-in-observing-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/quasars/v/quasar-correction?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quasar correction | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/PX_XSnVWlNc/default.jpg URL=http://www.youtube.com/watch?v=PX_XSnVWlNc description=Quasar Correction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/quasars/v/galactic-collisionsutm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/quasars/v/quasars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quasars | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/4LmIyMyAuN0/default.jpg URL=http://www.youtube.com/watch?v=4LmIyMyAuN0 description=Quasars. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/quasars/v/quasar-correction?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supermassive-black-holes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Supermassive black holes | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/DxkkAHnqlpY/default.jpg URL=http://www.youtube.com/watch?v=DxkkAHnqlpY description=Supermassive Black Holes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/quasars/v/quasars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/black-holes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why gravity gets so strong near dense objects | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/RpOHZc6cDIw/default.jpg URL=http://www.youtube.com/watch?v=RpOHZc6cDIw description=Why Gravity Gets So Strong Near Dense Objects. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics-difference-between-crust-and-lithosphere?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables/v/why-cepheids-pulsatehttps://www.khanacademy.org/science/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics-difference-between-crust-and-lithosphere?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Why cepheids pulsate | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/X_3QAB3o4Vw/default.jpg URL=http://www.youtube.com/watch?v=X_3QAB3o4Vw description=Why Cepheids Pulsate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables/v/why-gravity-gets-so-strong-near-dense-objects?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables/v/cepheid-variables-1?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cepheid variables 1 | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/BWs-ONRDDG4/default.jpg URL=http://www.youtube.com/watch?v=BWs-ONRDDG4 description=Cepheid Variables 1. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables/v/why-cepheids-pulsate?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/parsec-definition?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Black holes | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/JoL2pO3O0rg/default.jpg URL=http://www.youtube.com/watch?v=JoL2pO3O0rg description=Black Holes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supermassive-black-holes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supernova-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Supernova (supernovae) | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/qOwCpnQsDLM/default.jpg URL=http://www.youtube.com/watch?v=qOwCpnQsDLM description=Supernova (Supernovae). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supernova-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/lifecycle-of-massive-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Supernova clarification | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/QMv4kxATfzs/default.jpg URL=http://www.youtube.com/watch?v=QMv4kxATfzs description=Supernova clarification. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/black-holes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supernova-supernovae?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lifecycle of massive stars | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/UhIwMAhZpCo/default.jpg URL=http://www.youtube.com/watch?v=UhIwMAhZpCo description=Lifecycle of Massive Stars. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/supernova-supernovae?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/star-field-and-nebula-images?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal on ABC News thumb=https://i.ytimg.com/vi/RXeDxJfrqdw/default.jpg URL=http://www.youtube.com/watch?v=RXeDxJfrqdw description=Salman Khan on ABC News Person of the Week/description type=video name=Number sets 1 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/aqsIWLqlDhE/default.jpg URL=http://www.youtube.com/watch?v=aqsIWLqlDhE description=Number Sets 1 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying rational equations 1 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/gD7A1LA4jO8/default.jpg URL=http://www.youtube.com/watch?v=gD7A1LA4jO8 description=Applying Rational Equations 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/applying-rational-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/subtracting-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and Subtracting Rational Expressions 1 thumb=https://i.ytimg.com/vi/c_N9G3N9Ubc/default.jpg URL=http://www.youtube.com/watch?v=c_N9G3N9Ubc description=U11_L1_T3_we1 Adding and Subtracting Rational Expressions 1/description type=video name=Simplifying rational expressions 1 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/XChok8XlF90/default.jpg URL=http://www.youtube.com/watch?v=XChok8XlF90 description=Simplifying Rational Expressions 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying Quadratic Functions 3 thumb=https://i.ytimg.com/vi/huZBkYgGrKo/default.jpg URL=http://www.youtube.com/watch?v=huZBkYgGrKo description=U10_L2_T1_we3 Applying Quadratic Functions 3 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Example 3: Finding the square of a binomial with two variables | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/4fQeHtSdw80/default.jpg URL=http://www.youtube.com/watch?v=4fQeHtSdw80 description=Find the area of a square with side (6x-5y). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/e/finding-special-products?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-factorization/v/monomial-greatest-common-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/v/square-a-binomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying Polynomials1 thumb=https://i.ytimg.com/vi/HB48COey2O8/default.jpg URL=http://www.youtube.com/watch?v=HB48COey2O8 description=U08_L2_T3_we1 Multiplying Polynomials1 More free lessons at: http://www.khanacademy.org/video?v=HB48COey2O8 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Example 1: Modeling with polynomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/EvvxBdNIUeQ/default.jpg URL=http://www.youtube.com/watch?v=EvvxBdNIUeQ description=Write a binomial to express the difference between the area of a rectangle and the area of a circle. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/evaluating-a-polynomial-at-a-given-value?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying a cube root | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/drhoIgAhlQM/default.jpg URL=http://www.youtube.com/watch?v=drhoIgAhlQM description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/e/cube_roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/v/exponent-rules-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/v/simplifying-cube-roots-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractional exponent expressions 3 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Ay0B6Kh9Y3Q/default.jpg URL=http://www.youtube.com/watch?v=Ay0B6Kh9Y3Q description=Fractional Exponent Expressions 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/rational-exponents-and-exponent-laws?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponent-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hubble's law | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/1V9wVmO0Tfg/default.jpg URL=http://www.youtube.com/watch?v=1V9wVmO0Tfg description=Hubble's Law. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/a-universe-smaller-than-the-observable?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/cosmic-background-radiation-2?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parsec definition | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/6zV3JEjLoyE/default.jpg URL=http://www.youtube.com/watch?v=6zV3JEjLoyE description=Parsec Definition. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/cepheid-variables/v/cepheid-variables-1?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/stellar-parallax-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stellar parallax clarification | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/6FP-hLuAlr4/default.jpg URL=http://www.youtube.com/watch?v=6FP-hLuAlr4 description=Stellar parallax clarification. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/cosmology-and-astronomy/earth-history-topic/plate-techtonics/v/plate-tectonics-difference-between-crust-and-lithosphere?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/black-holes?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stellar distance using parallax | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/lVadjWOjvV8/default.jpg URL=http://www.youtube.com/watch?v=lVadjWOjvV8 description=Stellar Distance Using Parallax. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/stellar-parallax-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/stellar-parallax?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallax in observing stars | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/ETzUpoqZIHY/default.jpg URL=http://www.youtube.com/watch?v=ETzUpoqZIHY description=Parallax in Observing Stars. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-parallax-tutorial/v/stellar-parallax?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/quasars/v/galactic-collisions?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Star field and nebula images | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/w3IKEa_GOYs/default.jpg URL=http://www.youtube.com/watch?v=w3IKEa_GOYs description=Star Field and Nebula Images. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/lifecycle-of-massive-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/white-and-black-dwarfs?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=White and black dwarfs | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/EdYyuUUY-nc/default.jpg URL=http://www.youtube.com/watch?v=EdYyuUUY-nc description=White and Black Dwarfs. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/star-field-and-nebula-images?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/becoming-a-red-giant?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Becoming a red giant | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/kJSOqlcFpJw/default.jpg URL=http://www.youtube.com/watch?v=kJSOqlcFpJw description=Becoming a Red Giant. Created by Sal Khan Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/white-and-black-dwarfs?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/accreting-mass-due-to-gravity-simulation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Birth of stars | Stars, black holes and galaxies | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/i-NNWI8Ccas/default.jpg URL=http://www.youtube.com/watch?v=i-NNWI8Ccas description=Birth of Stars. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/accreting-mass-due-to-gravity-simulation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/hubble-image-of-galaxies?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cosmic background radiation 2 | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/06z7Q8TWPyU/default.jpg URL=http://www.youtube.com/watch?v=06z7Q8TWPyU description=Cosmic Background Radiation 2 - Redshift of the Cosmic Background Radiation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/hubble-s-law?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/cosmic-background-radiation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cosmic background radiation | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/sxbPwl_KRuA/default.jpg URL=http://www.youtube.com/watch?v=sxbPwl_KRuA description=Cosmic Background Radiation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/cosmic-background-radiation-2?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/red-shift?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Four fundamental forces | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/FEF6PxWOvsk/default.jpg URL=http://www.youtube.com/watch?v=FEF6PxWOvsk description=Gravity, Weak, Electromagnetic and Strong. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/big-bang-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces/v/introduction-to-light?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cosmological time scale 2 | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/LO7-3MpWijU/default.jpg URL=http://www.youtube.com/watch?v=LO7-3MpWijU description=Cosmological Time Scale 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces/v/introduction-to-light?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial/v/cosmological-time-scale-1?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cosmological time scale 1 | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/DRtLXagrMHw/default.jpg URL=http://www.youtube.com/watch?v=DRtLXagrMHw description=Cosmological Time Scale 1. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/cosmos-time-scale-tutorial/v/cosmological-time-scale-2?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/hubble-image-of-galaxies?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Red shift | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/mx2M_ZKXM_c/default.jpg URL=http://www.youtube.com/watch?v=mx2M_ZKXM_c description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/cosmic-background-radiation?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/correction-radius-of-observable-universe?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A Universe Smaller than the Observable thumb=https://i.ytimg.com/vi/0w9R_foNLrg/default.jpg URL=http://www.youtube.com/watch?v=0w9R_foNLrg description=A Universe Smaller than the Observable More free lessons at: http://www.khanacademy.org/video?v=0w9R_foNLrg/description type=video name=Cosmic Microwave Background Radiation 2 thumb=https://i.ytimg.com/vi/2-1Sb1fa1W4/default.jpg URL=http://www.youtube.com/watch?v=2-1Sb1fa1W4 description=Will we ever run out Cosmic Background Radiation/description type=video name=Cosmic Microwave Background Radiation thumb=https://i.ytimg.com/vi/VQf9aLWp3x4/default.jpg URL=http://www.youtube.com/watch?v=VQf9aLWp3x4 description=Cosmic Microwave Background Radiation (Relic Radiation)/description type=video name=Radius of observable universe (correction) | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/b6VQv76BQDs/default.jpg URL=http://www.youtube.com/watch?v=b6VQv76BQDs description=(Correction) Radius of Observable Universe. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/red-shift?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/radius-of-observable-universe?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radius of observable universe | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/6nVysrZQnOQ/default.jpg URL=http://www.youtube.com/watch?v=6nVysrZQnOQ description=Radius of Observable Universe. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/correction-radius-of-observable-universe?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/big-bang-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Big bang introduction | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/eUF59jCFcyQ/default.jpg URL=http://www.youtube.com/watch?v=eUF59jCFcyQ description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/big-bang-expansion-topic/v/radius-of-observable-universe?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/light-fundamental-forces/v/four-fundamental-forces?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hubble image of galaxies | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/Wl4re38deh0/default.jpg URL=http://www.youtube.com/watch?v=Wl4re38deh0 description=Hubble Image of Galaxies. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/cosmology-and-astronomy/stellar-life-topic/stellar-life-death-tutorial/v/birth-of-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/intergalactic-scale?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intergalactic scale | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/JiE_kNk3ucI/default.jpg URL=http://www.youtube.com/watch?v=JiE_kNk3ucI description=Intergalactic Scale. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/hubble-image-of-galaxies?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-the-galaxy?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scale of the galaxy | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/rcLnMe1ELPA/default.jpg URL=http://www.youtube.com/watch?v=rcLnMe1ELPA description=Scale of the Galaxy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/intergalactic-scale?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-distance-to-closest-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scale of earth and sun | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/GZx3U0dbASg/default.jpg URL=http://www.youtube.com/watch?v=GZx3U0dbASg description=Scale of Earth and Sun. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-solar-system?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-the-small?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scale of distance to closest stars | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/jEeJkkMXt6c/default.jpg URL=http://www.youtube.com/watch?v=jEeJkkMXt6c description=Scale of Distance to Closest Stars. Created by Sal Khan. Watch the next lesson:https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-the-galaxy?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-solar-system?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scale of solar system | Scale of the universe | Cosmology & Astronomy | Khan Academy thumb=https://i.ytimg.com/vi/GP53b__h4ew/default.jpg URL=http://www.youtube.com/watch?v=GP53b__h4ew description=Sal Khan describes the scale of our Solar System. Created by Sal Khan and NASA. Watch the next lesson: https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-distance-to-closest-stars?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Missed the previous lesson? https://www.khanacademy.org/science/cosmology-and-astronomy/universe-scale-topic/scale-earth-galaxy-tutorial/v/scale-of-earth-and-sun?utm_source=YT&utm_medium=Desc&utm_campaign=cosmologystronomy Cosmology & Astronomy on Khan Academy: The Earth is huge, but it is tiny compared to the Sun (which is super huge). But the Sun is tiny compared to the solar system which is tiny compared to the distance to the next star. Oh, did we mention that there are over 100 billion stars in our galaxy (which is about 100,000 light years in diameter) which is one of hundreds of billions of galaxies in just the observable universe (which might be infinite for all we know). Don't feel small. We find it liberating. Your everyday human stresses are nothing compared to this enormity that we are a part of. Enjoy the fact that we get to be part of this vastness! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Cosmology & Astronomy channel: https://www.youtube.com/channel/UChNPnEkW8LYZ5Rwi8_A2-DA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ANOVA 3: Hypothesis test with F-statistic | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Xg8_iSkJpAE/default.jpg URL=http://www.youtube.com/watch?v=Xg8_iSkJpAE description=Analysis of Variance 3 -Hypothesis Test with F-Statistic This is the last video in our probability and statistics subject! Now move on to our first video in Precalculus: https://www.khanacademy.org/math/precalculus/vectors-precalc/vector-basic/v/vector-representations-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/anova/v/anova-2-calculating-ssw-and-ssb-total-sum-of-squares-within-and-between-avi?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ANOVA 2: Calculating SSW and SSB (total sum of squares within and between) | Khan Academy thumb=https://i.ytimg.com/vi/j9ZPMlVHJVs/default.jpg URL=http://www.youtube.com/watch?v=j9ZPMlVHJVs description=Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/anova/v/anova-3-hypothesis-test-with-f-statistic?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/anova/v/anova-1-calculating-sst-total-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ANOVA 1: Calculating SST (total sum of squares) | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/EFdlFoHI_0I/default.jpg URL=http://www.youtube.com/watch?v=EFdlFoHI_0I description=Analysis of Variance 1 - Calculating SST (Total Sum of Squares) Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/anova/v/anova-2-calculating-ssw-and-ssb-total-sum-of-squares-within-and-between-avi?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/chi-square/v/contingency-table-chi-square-test?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Contingency table chi-square test | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hpWdDmgsIRE/default.jpg URL=http://www.youtube.com/watch?v=hpWdDmgsIRE description=Contingency Table Chi-Square Test Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/anova/v/anova-1-calculating-sst-total-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/chi-square/v/pearson-s-chi-square-test-goodness-of-fit?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pearson's chi square test (goodness of fit) | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/2QeDRsxSF9M/default.jpg URL=http://www.youtube.com/watch?v=2QeDRsxSF9M description=Pearson's Chi Square Test (Goodness of Fit) Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/chi-square/v/contingency-table-chi-square-test?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/chi-square/v/chi-square-distribution-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chi-square distribution introduction | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/dXB3cUGnaxQ/default.jpg URL=http://www.youtube.com/watch?v=dXB3cUGnaxQ description=Chi-Square Distribution Introduction Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/chi-square/v/pearson-s-chi-square-test-goodness-of-fit?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/hypothesis-test-comparing-population-proportions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regression Notation Clarification thumb=https://i.ytimg.com/vi/7J1Yr-cPtw8/default.jpg URL=http://www.youtube.com/watch?v=7J1Yr-cPtw8 description=Regression Notation Clarification/description type=video name=Covariance and the regression line | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ualmyZiPs9w/default.jpg URL=http://www.youtube.com/watch?v=ualmyZiPs9w description=Covariance, Variance and the Slope of the Regression Line Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/introduction-to-the-normal-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/calculating-r-squared?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating R-squared | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Fc5t_5r_7IU/default.jpg URL=http://www.youtube.com/watch?v=Fc5t_5r_7IU description=Calculating R-Squared to see how well a regression line fits data Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/covariance-and-the-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/r-squared-or-coefficient-of-determination?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second regression example | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ww_yT9ckPWw/default.jpg URL=http://www.youtube.com/watch?v=ww_yT9ckPWw description=Second Regression Example Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/r-squared-or-coefficient-of-determination?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/regression-line-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=R-squared or coefficient of determination | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/lng4ZgConCM/default.jpg URL=http://www.youtube.com/watch?v=lng4ZgConCM description=R-Squared or Coefficient of Determination Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/calculating-r-squared?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/second-regression-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Regression line example | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/GAmzwIkGFgE/default.jpg URL=http://www.youtube.com/watch?v=GAmzwIkGFgE description=Regression Line Example Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/second-regression-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-4-minimizing-squared-error-to-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof (part 4) minimizing squared error to regression line | Khan Academy thumb=https://i.ytimg.com/vi/8RSTQl0bQuw/default.jpg URL=http://www.youtube.com/watch?v=8RSTQl0bQuw description=Proof (Part 4) Minimizing Squared Error to Regression Line Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/regression-line-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-3-minimizing-squared-error-to-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof (part 3) minimizing squared error to regression line | Khan Academy thumb=https://i.ytimg.com/vi/u1HhUB3NP8g/default.jpg URL=http://www.youtube.com/watch?v=u1HhUB3NP8g description=Proof (Part 3) Minimizing Squared Error to Regression Line Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-4-minimizing-squared-error-to-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-2-minimizing-squared-error-to-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof (part 2) minimizing squared error to regression line | Khan Academy thumb=https://i.ytimg.com/vi/f6OnoxctvUk/default.jpg URL=http://www.youtube.com/watch?v=f6OnoxctvUk description=Proof Part 2 Minimizing Squared Error to Line Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-3-minimizing-squared-error-to-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-1-minimizing-squared-error-to-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof (part 1) minimizing squared error to regression line | Khan Academy thumb=https://i.ytimg.com/vi/mIx2Oj5y9Q8/default.jpg URL=http://www.youtube.com/watch?v=mIx2Oj5y9Q8 description=Proof (Part 1) Minimizing Squared Error to Regression Line Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-2-minimizing-squared-error-to-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/squared-error-of-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Squared error of regression line | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/6OvhLPS7rj4/default.jpg URL=http://www.youtube.com/watch?v=6OvhLPS7rj4 description=Introduction to the idea that one can find a line that minimizes the squared distances to the points Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/proof-part-1-minimizing-squared-error-to-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/estimating-the-line-of-best-fit-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hypothesis test comparing population proportions | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/dvSa_tx04hw/default.jpg URL=http://www.youtube.com/watch?v=dvSa_tx04hw description=Hypothesis Test Comparing Population Proportions Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/chi-square/v/chi-square-distribution-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/comparing-population-proportions-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing population proportions 2 | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/MNbat1lrJW4/default.jpg URL=http://www.youtube.com/watch?v=MNbat1lrJW4 description=Comparing Population Proportions 2 Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/hypothesis-test-comparing-population-proportions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/comparing-population-proportions-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing population proportions 1 | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/a1Ye5RcWOqg/default.jpg URL=http://www.youtube.com/watch?v=a1Ye5RcWOqg description=Comparing Population Proportions 1 Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/comparing-population-proportions-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/hypothesis-test-for-difference-of-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hypothesis test for difference of means | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/N984XGLjQfs/default.jpg URL=http://www.youtube.com/watch?v=N984XGLjQfs description=Hypothesis Test for Difference of Means Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/comparing-population-proportions-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/clarification-of-confidence-interval-of-difference-of-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Clarification of confidence interval of difference of means | Khan Academy thumb=https://i.ytimg.com/vi/yQsCMnz9wO8/default.jpg URL=http://www.youtube.com/watch?v=yQsCMnz9wO8 description=Clarification of Confidence Interval of Difference of Means Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/hypothesis-test-for-difference-of-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/confidence-interval-of-difference-of-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Confidence interval of difference of means | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hxZ6uooEJOk/default.jpg URL=http://www.youtube.com/watch?v=hxZ6uooEJOk description=Confidence Interval of Difference of Means Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/clarification-of-confidence-interval-of-difference-of-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/difference-of-sample-means-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Difference of sample means distribution | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/TcIDXqmt74A/default.jpg URL=http://www.youtube.com/watch?v=TcIDXqmt74A description=Difference of Sample Means Distribution Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/confidence-interval-of-difference-of-means?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/variance-of-differences-of-random-variables?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Variance of differences of random variables | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/rLdoKZ7w0xI/default.jpg URL=http://www.youtube.com/watch?v=rLdoKZ7w0xI description=Variance of Differences of Random Variables Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/difference-of-sample-means-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/large-sample-proportion-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Large sample proportion hypothesis testing | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/1JT9oODsClE/default.jpg URL=http://www.youtube.com/watch?v=1JT9oODsClE description=LLarge Sample Proportion Hypothesis Testing Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing-two-samples/v/variance-of-differences-of-random-variables?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/t-statistic-confidence-interval?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=T-statistic confidence interval | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hV4pdjHCKuA/default.jpg URL=http://www.youtube.com/watch?v=hV4pdjHCKuA description=T-Statistic Confidence Interval (for small sample sizes) Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/large-sample-proportion-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/small-sample-hypothesis-test?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Small sample hypothesis test | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/D2sMsmL0ScQ/default.jpg URL=http://www.youtube.com/watch?v=D2sMsmL0ScQ description=Small Sample Hypothesis Test Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/t-statistic-confidence-interval?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/z-statistics-vs-t-statistics?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Type 1 errors | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/EowIec7Y8HM/default.jpg URL=http://www.youtube.com/watch?v=EowIec7Y8HM description=Type 1 Errors Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/z-statistics-vs-t-statistics?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/one-tailed-and-two-tailed-tests?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Z-statistics vs. T-statistics | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/5ABpqVSx33I/default.jpg URL=http://www.youtube.com/watch?v=5ABpqVSx33I description=Z-statistics vs. T-statistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/small-sample-hypothesis-test?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/type-1-errors?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=One-tailed and two-tailed tests | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/mvye6X_0upA/default.jpg URL=http://www.youtube.com/watch?v=mvye6X_0upA description=One-Tailed and Two-Tailed Tests Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/type-1-errors?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/hypothesis-testing-and-p-values?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hypothesis testing and p-values | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/-FtlH4svqx4/default.jpg URL=http://www.youtube.com/watch?v=-FtlH4svqx4 description=Hypothesis Testing and P-values Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/hypothesis-testing-with-simulations?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/one-tailed-and-two-tailed-tests?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/margin-of-error-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Small sample size confidence intervals | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/K4KDLWENXm0/default.jpg URL=http://www.youtube.com/watch?v=K4KDLWENXm0 description=Constructing small sample size confidence intervals using t-distributions Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/mean-and-variance-of-bernoulli-distribution-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/confidence-intervals/v/confidence-interval-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Confidence interval example | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/SeQeYVJZ2gE/default.jpg URL=http://www.youtube.com/watch?v=SeQeYVJZ2gE description=Confidence Interval Example Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/confidence-intervals/v/small-sample-size-confidence-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/confidence-intervals/v/confidence-interval-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Margin of error 2 | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/YclQE2XtaLw/default.jpg URL=http://www.youtube.com/watch?v=YclQE2XtaLw description=Finding the 95% confidence interval for the proportion of a population voting for a candidate. Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/hypothesis-testing/v/hypothesis-testing-and-p-values?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/margin-of-error-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Margin of error 1 | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/OwPSuHXmiPw/default.jpg URL=http://www.youtube.com/watch?v=OwPSuHXmiPw description=Finding the 95% confidence interval for the proportion of a population voting for a candidate. Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/margin-of-error-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/bernoulli-distribution-mean-and-variance-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bernoulli distribution mean and variance formulas | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/ry81_iSHt6E/default.jpg URL=http://www.youtube.com/watch?v=ry81_iSHt6E description=Bernoulli Distribution Mean and Variance Formulas Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/margin-of-error-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/mean-and-variance-of-bernoulli-distribution-example?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mean and variance of Bernoulli distribution example | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/O8vB1eInP_8/default.jpg URL=http://www.youtube.com/watch?v=O8vB1eInP_8 description=Mean and Variance of Bernoulli Distribution Example Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/margin-of-error/v/bernoulli-distribution-mean-and-variance-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/confidence-intervals/v/small-sample-size-confidence-intervals?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sampling distribution example problem | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/0ZstEh_8bYc/default.jpg URL=http://www.youtube.com/watch?v=0ZstEh_8bYc description=Figuring out the probability of running out of water on a camping trip Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/confidence-intervals/v/confidence-interval-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/standard-error-of-the-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Debt Loops Rationale and Effects thumb=https://i.ytimg.com/vi/XBI7DqttyOQ/default.jpg URL=http://www.youtube.com/watch?v=XBI7DqttyOQ description=Positive and negative effects of China's devaluing of their currency More free lessons at: http://www.khanacademy.org/video?v=XBI7DqttyOQ/description type=video name=American-Chinese Debt Loop thumb=https://i.ytimg.com/vi/m5xu4r0szaA/default.jpg URL=http://www.youtube.com/watch?v=m5xu4r0szaA description=How the Chinese buying of American debt leads to lower interest rates More free lessons at: http://www.khanacademy.org/video?v=m5xu4r0szaA/description type=video name=Chinese Central Bank Buying Treasuries thumb=https://i.ytimg.com/vi/MN4SWiEEqKo/default.jpg URL=http://www.youtube.com/watch?v=MN4SWiEEqKo description=Chinese Central Bank Buying Treasuries More free lessons at: http://www.khanacademy.org/video?v=MN4SWiEEqKo/description type=video name=Currency Effect on Trade Review thumb=https://i.ytimg.com/vi/Ysk1ySejuCQ/default.jpg URL=http://www.youtube.com/watch?v=Ysk1ySejuCQ description=Currency Effect on Trade Review More free lessons at: http://www.khanacademy.org/video?v=Ysk1ySejuCQ/description type=video name=Pegging the yuan | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/S-9iY1OgbDE/default.jpg URL=http://www.youtube.com/watch?v=S-9iY1OgbDE description=How the Chinese Central Bank could peg the Yuan to the dollar by printing Yuan and buying dollars (building up a dollar reserve). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/currency-tutorial/v/chinese-central-bank-buying-treasuries?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/currency-tutorial/v/currency-effect-on-trade-review?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial walks through how China's undervaluing of its currency impacts trade and prices (which also fuels cheap borrowing for the U.S.). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Currency Effect on Trade thumb=https://i.ytimg.com/vi/5HVCFrXQ9pw/default.jpg URL=http://www.youtube.com/watch?v=5HVCFrXQ9pw description=Currency Effect on Trade More free lessons at: http://www.khanacademy.org/video?v=5HVCFrXQ9pw/description type=video name=Currency Exchange Introduction thumb=https://i.ytimg.com/vi/itoNb1lb5hY/default.jpg URL=http://www.youtube.com/watch?v=itoNb1lb5hY description=Introduction to how exchange rates can fluctuate More free lessons at: http://www.khanacademy.org/video?v=itoNb1lb5hY/description type=video name=Aldol reaction | Alpha Carbon Chemistry | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/3XiHrsZNZko/default.jpg URL=http://www.youtube.com/watch?v=3XiHrsZNZko description=Introduction to the mechanism for the aldol reaction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/ochem-alpha-carbon-chemistry/aldol-condensation-jay/v/aldol-condensation?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/ochem-alpha-carbon-chemistry/formation-of-enolate-anions/v/kinetic-and-thermodynamic-enolates?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy on the Gates Notes thumb=https://i.ytimg.com/vi/UuMTSU9DcqQ/default.jpg URL=http://www.youtube.com/watch?v=UuMTSU9DcqQ description=Bill Gates talks about the Khan Academy on the Gates Notes About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Amide formation from acyl chloride | Carboxylic acids and derivatives | Khan Academy thumb=https://i.ytimg.com/vi/gMKtGulgGH8/default.jpg URL=http://www.youtube.com/watch?v=gMKtGulgGH8 description=Amide formation from acyl chloride. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/reactions-carboxylic-jay/v/carboxylic-acid-nomenclature-and-properties?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/relative-stability-of-amides-esters-anhydrides-and-acyl-chlorides?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relative stability of amides, esters, anhydrides, and acyl chlorides | Khan Academy thumb=https://i.ytimg.com/vi/NYI0bJK64MY/default.jpg URL=http://www.youtube.com/watch?v=NYI0bJK64MY description=Relative stability of amides, esters, anhydrides, and acyl chlorides. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/amide-formation-from-acyl-chloride?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/amides-anhydrides-esters-and-acyl-chlorides?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amides, anhydrides, esters, and acyl chlorides | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/SRPQ62dR6b4/default.jpg URL=http://www.youtube.com/watch?v=SRPQ62dR6b4 description=Carboxylic acid derivatives - amides, anhydrides, esters and acyl chlorides. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/relative-stability-of-amides-esters-anhydrides-and-acyl-chlorides?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/acid-chloride-formation?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acid chloride formation | Carboxylic acids and derivatives | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/XKk9K5xTgDA/default.jpg URL=http://www.youtube.com/watch?v=XKk9K5xTgDA description=Acetic acid to acetyl chloride mechanism. Can be generalized to forming any acid halide from a carboxylic acid. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/amides-anhydrides-esters-and-acyl-chlorides?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/fisher-esterification?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fischer esterification | Carboxylic acids and derivatives | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/dbdVMThH1n8/default.jpg URL=http://www.youtube.com/watch?v=dbdVMThH1n8 description=Fischer esterification of carboxylic acids. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/acid-chloride-formation?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal/v/carboxylic-acid-naming?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Carboxylic acid naming | Carboxylic acids and derivatives | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/z8h7QgevqjM/default.jpg URL=http://www.youtube.com/watch?v=z8h7QgevqjM description=Carboxylic acid naming. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/formation-carboxylic-acid-derivatives-sal/v/fisher-esterification?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal/v/carboxlic-acid-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Carboxylic acid introduction | Carboxylic acids and derivatives | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/xheOq0XZ-so/default.jpg URL=http://www.youtube.com/watch?v=xheOq0XZ-so description=Carboxylic acid introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/carboxylic-acids-derivatives/naming-carboxylic-acids-sal/v/carboxylic-acid-naming?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Keto-enol tautomerization (by Sal) | Alpha Carbon Chemistry | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/SXbc4J1qWjE/default.jpg URL=http://www.youtube.com/watch?v=SXbc4J1qWjE description=Keto-enol tautomerization. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/ochem-alpha-carbon-chemistry/formation-of-enolate-anions/v/keto-enol-tautomerization-2?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Friedel-Crafts acylation | Aromatic Compounds | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/vFfriC55fFw/default.jpg URL=http://www.youtube.com/watch?v=vFfriC55fFw description=Friedel-Crafts acylation reaction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/friedel-crafts-acylation-addendum?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/bromination-of-benzene?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Friedel crafts acylation addendum | Aromatic Compounds | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/0YD5xSvseIw/default.jpg URL=http://www.youtube.com/watch?v=0YD5xSvseIw description=Friedel-Crafts acylation addendum. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/aromatic-stability/v/aromatic-stability-i?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/friedel-crafts-acylation?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ketone naming | Aldehydes and ketones | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/wD15pD5pCt4/default.jpg URL=http://www.youtube.com/watch?v=wD15pD5pCt4 description=Ketone naming. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone/v/nomenclature-of-aldehydes-and-ketones?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone/v/aldehyde-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Aldehyde introduction | Aldehydes and ketones | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/oeyBfrx5RJY/default.jpg URL=http://www.youtube.com/watch?v=oeyBfrx5RJY description=Aldehyde introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/aldehydes-ketones/nomenclature-aldehyde-ketone/v/ketone-naming?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Change of state example | States of matter and intermolecular forces | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/tvO0358YUYM/default.jpg URL=http://www.youtube.com/watch?v=tvO0358YUYM description=Specific heat capacity and enthalpy of vaporization example: calculating how much energy it takes to vaporize 1.00 kg of ethanol starting from 20 degrees C. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/vapor-pressure?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/chilling-water-problem?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sn1 Amine Reaction thumb=https://i.ytimg.com/vi/pBAwbypjW9s/default.jpg URL=http://www.youtube.com/watch?v=pBAwbypjW9s description=Sn1 Amine Reaction/description type=video name=Amine in Sn2 part 2 thumb=https://i.ytimg.com/vi/w8LS4fRQvMk/default.jpg URL=http://www.youtube.com/watch?v=w8LS4fRQvMk description=Amine continuing to act as nucleophile to generate more products/description type=video name=Amine as Nucleophile in Sn2 Reaction thumb=https://i.ytimg.com/vi/O4dvuimcVBA/default.jpg URL=http://www.youtube.com/watch?v=O4dvuimcVBA description=Amine as Nucleophile in Sn2 Reaction/description type=video name=Vapor pressure example | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/-QpkmwIoMaY/default.jpg URL=http://www.youtube.com/watch?v=-QpkmwIoMaY description=Vapor pressure example using the ideal gas law. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/states-of-matter?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/gases-and-kinetic-molecular-theory/ideal-gas-laws/v/partial-pressure?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hess's law example | Thermodynamics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/8bCL8TQZFKo/default.jpg URL=http://www.youtube.com/watch?v=8bCL8TQZFKo description=Hess's law example. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/bond-enthalpy-and-enthalpy-of-reaction?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/hess-s-law-and-reaction-enthalpy-change?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acid base titration example | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/XjFNmfLv9_Q/default.jpg URL=http://www.youtube.com/watch?v=XjFNmfLv9_Q description=Using acid-base titration to find mass of oxalic acid, a weak acid. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/redox-titration?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/titration-roundup?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Buffers and Henderson-Hasselbalch | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/LJmFbcaxDPE/default.jpg URL=http://www.youtube.com/watch?v=LJmFbcaxDPE description=Getting an intuitive understanding of buffers using le Chatelier's principle. Derivation of the Henderson-Hasselbalch equation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/buffer-solutions/v/buffer-solution-calculations?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/buffer-solutions/v/common-ion-effect?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amine naming introduction | Amines | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/CJzuu_k9Nv0/default.jpg URL=http://www.youtube.com/watch?v=CJzuu_k9Nv0 description=Amine naming 2. Created by Sal Khan. Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/amines-topic/naming-amines/v/amine-naming-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amine naming introduction | Amines | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Kpov3GS6tjM/default.jpg URL=http://www.youtube.com/watch?v=Kpov3GS6tjM description=Amine naming introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/amines-topic/naming-amines/v/amine-naming-2?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bromination of benzene | Aromatic Compounds | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/K2tIixiXGOM/default.jpg URL=http://www.youtube.com/watch?v=K2tIixiXGOM description=Bromination of benzene catalyzed by iron bromide. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/friedel-crafts-acylation?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/electrophilic-aromatic-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electrophilic aromatic substitution | Aromatic Compounds | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/fpq0eICjuSI/default.jpg URL=http://www.youtube.com/watch?v=fpq0eICjuSI description=Electrophilic aromatic substitution. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/reactions-benzene/v/bromination-of-benzene?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/naming-aromatic/v/naming-benzene-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Naming benzene derivatives introduction | Aromatic Compounds | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/A5r7wkwDID4/default.jpg URL=http://www.youtube.com/watch?v=A5r7wkwDID4 description=Naming benzene derivatives introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/aromatic-compounds/naming-aromatic/v/naming-benzene-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Aromatic Compounds and Huckel's Rule thumb=https://i.ytimg.com/vi/RaBI3lAACKg/default.jpg URL=http://www.youtube.com/watch?v=RaBI3lAACKg description=Aromatic Compounds and Huckel's Rule/description type=video name=Sn1 and Sn2 epoxide opening discussion thumb=https://i.ytimg.com/vi/Ordpoq2dHAk/default.jpg URL=http://www.youtube.com/watch?v=Ordpoq2dHAk description=Sn1 and Sn2 epoxide opening discussion/description type=video name=Ring-opening Sn2 reaction of expoxides thumb=https://i.ytimg.com/vi/hMguUHeYf0g/default.jpg URL=http://www.youtube.com/watch?v=hMguUHeYf0g description=Ring-opening Sn2 reaction of expoxides/description type=video name=Cyclic ethers and epoxide naming | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/5d63YMUxcS4/default.jpg URL=http://www.youtube.com/watch?v=5d63YMUxcS4 description=Cyclic ethers and epoxide naming. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-preparation-epoxides/v/nomenclature-and-preparation-of-epoxides?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/synthesis-cleavage-ethers/v/acidic-cleavage-of-ethers?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ether naming and introduction | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/roUGDG1rhPI/default.jpg URL=http://www.youtube.com/watch?v=roUGDG1rhPI description=Ether naming and introduction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/nomenclature-properties-ethers/v/ether-nomenclature?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/reactions-alcohols-tutorial/v/preparation-of-alkyl-halides-from-alcohols?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fareed Zakaria talks about Khan Academy on CNN GPS thumb=https://i.ytimg.com/vi/ngk8k04zKHY/default.jpg URL=http://www.youtube.com/watch?v=ngk8k04zKHY description=Fareed Zakaria talks about Khan Academy on CNN GPS/description type=video name=CNN: Google award to Khan Academy thumb=https://i.ytimg.com/vi/QGxgAHer3Ow/default.jpg URL=http://www.youtube.com/watch?v=QGxgAHer3Ow description=CNN: Salman Khan talks about Google award to Khan Academy/description type=video name=Resonance thumb=https://i.ytimg.com/vi/6XOm3Km7r30/default.jpg URL=http://www.youtube.com/watch?v=6XOm3Km7r30 description=Resonance in benzene and the carbonate ion More free lessons at: http://www.khanacademy.org/video?v=6XOm3Km7r30/description type=video name=Alcohol properties | Alcohols, ethers, epoxides, sulfides | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Aa1CMokCch4/default.jpg URL=http://www.youtube.com/watch?v=Aa1CMokCch4 description=Alcohol properties. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties/v/alcohol-nomenclature?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties/v/triple-bond-linear?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alcohols | Alcohols, ethers, epoxides, sulfides | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/nQ7QSV4JRSs/default.jpg URL=http://www.youtube.com/watch?v=nQ7QSV4JRSs description=Naming alcohols. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alcohols-ethers-epoxides-sulfides/alcohol-nomenclature-properties/v/triple-bond-linear?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Free radical reactions | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/5HgzsltWwK8/default.jpg URL=http://www.youtube.com/watch?v=5HgzsltWwK8 description=Free radical reactions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/naming-alkyl-halides?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=E2 E1 Sn2 Sn1 Reactions Example 3 thumb=https://i.ytimg.com/vi/MtwvLru62Qw/default.jpg URL=http://www.youtube.com/watch?v=MtwvLru62Qw description=E2 E1 Sn2 Sn1 Reactions Example 3 More free lessons at: http://www.khanacademy.org/video?v=MtwvLru62Qw/description type=video name=E2 E1 Sn2 Sn1 Reactions Example 2 thumb=https://i.ytimg.com/vi/vinEPfrqfiU/default.jpg URL=http://www.youtube.com/watch?v=vinEPfrqfiU description=E2 E1 Sn2 Sn1 Reactions Example 2 More free lessons at: http://www.khanacademy.org/video?v=vinEPfrqfiU/description type=video name=Comparing E2 E1 Sn2 Sn1 Reactions thumb=https://i.ytimg.com/vi/12Rvts2NR7M/default.jpg URL=http://www.youtube.com/watch?v=12Rvts2NR7M description=Comparing E2 E1 Sn2 Sn1 Reactions More free lessons at: http://www.khanacademy.org/video?v=12Rvts2NR7M/description type=video name=Zaitsev's rule | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/2jO--kC3aqk/default.jpg URL=http://www.youtube.com/watch?v=2jO--kC3aqk description=Zaitsev's Rule for E2 and E1 reactions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-e1-e2-sal/v/comparing-e2-e1-sn2-sn1-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial/v/e1-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=E1 reactions | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/U9dGHwsewNk/default.jpg URL=http://www.youtube.com/watch?v=U9dGHwsewNk description=E1 Elimination Reactions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial/v/zaitsev-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial/v/e2-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=E2 reactions | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/J0gXdEAaSiA/default.jpg URL=http://www.youtube.com/watch?v=J0gXdEAaSiA description=E2 Elimination Reactions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/elimination-reactions-tutorial/v/e1-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/nucleophilicity-basicity-sal/v/nucleophilicity-vs-basicity?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Nucleophilicity vs. Basicity thumb=https://i.ytimg.com/vi/Mx7KM-k2MMo/default.jpg URL=http://www.youtube.com/watch?v=Mx7KM-k2MMo description=Nucleophilicity vs. Basicity . The difference between what it means to be a nucleophile and a base More free lessons at: http://www.khanacademy.org/video?v=Mx7KM-k2MMo/description type=video name=Nucleophilicity (Nucleophile Strength) thumb=https://i.ytimg.com/vi/Z9Jh-Q59xso/default.jpg URL=http://www.youtube.com/watch?v=Z9Jh-Q59xso description=Nucleophilicity (Nucleophile Strength) More free lessons at: http://www.khanacademy.org/video?v=Z9Jh-Q59xso/description type=video name=Introduction to solving an equation with variables on both sides | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/f15zA0PhSek/default.jpg URL=http://www.youtube.com/watch?v=f15zA0PhSek description=Sal solves the equation 2x + 3 = 5x - 2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/multi-step-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu/v/application-problems-with-equation-in-one-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving a more complicated equation | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XoEn1LfVoTo/default.jpg URL=http://www.youtube.com/watch?v=XoEn1LfVoTo description=This example demonstrates how we solve an equation expressed such: ax + b = c. It's a little more complicated than previous examples, but you can do it! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/two-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to solve equations of the form ax = b | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/9Ek61w1LxSc/default.jpg URL=http://www.youtube.com/watch?v=9Ek61w1LxSc description=Let's ease into this, shall we? Here's an introduction to basic algebraic equations of the form ax=b. Remember that you can check to see if you have the right answer by substituting it for the variable! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/linear_equations_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-one-step-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/super-yoga/v/super-yoga-plans-solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting Farenheit to Celsius thumb=https://i.ytimg.com/vi/p7TtcisPQN4/default.jpg URL=http://www.youtube.com/watch?v=p7TtcisPQN4 description=U06_L3_T1_we2 Converting Farenheit to Celsius/description type=video name=Converting within the metric system | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/uHaKyNplino/default.jpg URL=http://www.youtube.com/watch?v=uHaKyNplino description=Converting within the metric system Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/perimeter-and-unit-conversion?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/unit-conversion?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing Celsius and Fahrenheit temperature scales | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/aASUZqJCHHA/default.jpg URL=http://www.youtube.com/watch?v=aASUZqJCHHA description=Comparing Celsius and Fahrenheit temperature scales Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/u08-l1-t2-we3-stem-and-leaf-plots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/farenheit-celsius-conversion/v/converting-farenheit-to-celsius?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U.S. customary and metric units | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/y2RHWA7t0WM/default.jpg URL=http://www.youtube.com/watch?v=y2RHWA7t0WM description=U.S. Customary and Metric units Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/farenheit-celsius-conversion/v/converting-farenheit-to-celsius?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/conversion-between-metric-units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying the metric system | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/CDvPPsB3nEM/default.jpg URL=http://www.youtube.com/watch?v=CDvPPsB3nEM description=Applying the Metric System Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/conversion-between-metric-units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/perimeter-and-unit-conversion?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conversion between metric units | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/SYkmadc2wOI/default.jpg URL=http://www.youtube.com/watch?v=SYkmadc2wOI description=Conversion between metric units Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/u-s-customary-and-metric-units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/applying-the-metric-system?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion: arithmetic calculations on units of volume | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/hShqXKpI6KA/default.jpg URL=http://www.youtube.com/watch?v=hShqXKpI6KA description=Sometimes we have different units of measure and are asked to add them up. The answer can't be stated in ALL units so we have to pick one unit of measure. In this example, you'll practice that scenario with us. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/application-problems-involving-units-of-weight?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/converting-yards-into-inches?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit measurement word problem: weight (US customary) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gnCL_0uA6Ds/default.jpg URL=http://www.youtube.com/watch?v=gnCL_0uA6Ds description=We're moving between units of weight in this word problem. Ever get in an elevator with a bunch people and wonder to yourself, "How many people can this elevator safely hold?" Yeah, us too. You can solve that problem now. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/solving-application-problems-involving-units-of-volume?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/performing-arithmetic-calculations-on-units-of-volume?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit measurement word problem: volume (US customary) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/KgoXx_58QyQ/default.jpg URL=http://www.youtube.com/watch?v=KgoXx_58QyQ description=Pints or gallons? Gallons or quarts? Confused? You won't be for long. This unit measurement word problem gets us thinking about moving between these units of volume. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/unit-conversion-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/application-problems-involving-units-of-weight?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion: gallons to quarts, pints, and cups | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4uQtJDf7drU/default.jpg URL=http://www.youtube.com/watch?v=4uQtJDf7drU description=What's the difference between gallons, quarts, pints, and cups? Soooo many people go their entire lives without knowing how to convert one unit of measure to another. Take note. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/converting-yards-into-inches?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/converting-pounds-to-ounces?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit measurement word problem: running laps (US customary) | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/AGFO-ROxH_I/default.jpg URL=http://www.youtube.com/watch?v=AGFO-ROxH_I description=Remember that it's always easier to convert everything to like units before tackling a unit conversion word problem. That way you're comparing apples to apples. Go for it...we'll explain as we work through it! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/unit-conversion-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/can-a-squirrel-avoid-getting-run-over?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding different units for weight thumb=https://i.ytimg.com/vi/gRAwbGqnEqk/default.jpg URL=http://www.youtube.com/watch?v=gRAwbGqnEqk description=U06_L1_T2_we2 Adding different units for weight/description type=video name=Converting pounds to ounces | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/IrvEHVn-fks/default.jpg URL=http://www.youtube.com/watch?v=IrvEHVn-fks description=We can't tell you how many times in your life you will stare at a recipe and then need to use this skill. Trust us. Let's convert pounds to ounces! Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/converting-gallons-to-quarts-pints-and-cups?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/multiple-rates-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting yards into inches | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8C5kAIKLcZo/default.jpg URL=http://www.youtube.com/watch?v=8C5kAIKLcZo description=Converting units of measure is a skill you'll encounter many times over in everyday life. In this example, we'll look at yards, feet, and inches. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/performing-arithmetic-calculations-on-units-of-volume?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/converting-gallons-to-quarts-pints-and-cups?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding different units of length thumb=https://i.ytimg.com/vi/CAXqVVxn9zA/default.jpg URL=http://www.youtube.com/watch?v=CAXqVVxn9zA description=U06_L1_T1_we2 Adding different units of length/description type=video name=Percent word problem example 4 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/N4kDzoQOngY/default.jpg URL=http://www.youtube.com/watch?v=N4kDzoQOngY description=This word problem is expressed simply which can be confusing to some. Take your time and focus on the what is being asked for. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/e/discount_tax_and_tip_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/solving-percent-problems-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/solving-percent-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving percent problems | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/TvSKeTFsaj4/default.jpg URL=http://www.youtube.com/watch?v=TvSKeTFsaj4 description=We'll use algebra to solve this percent problem. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/solving-percent-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/growing-by-a-percentage?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Percent word problem example 5 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/DAikW24_O0A/default.jpg URL=http://www.youtube.com/watch?v=DAikW24_O0A description=In this example, you working with us to find the number that is expressed as a given percentage.We'll create a simple algebraic equation to solve! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/e/discount_tax_and_tip_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-rounding-estimation-pre-alg/v/rounding-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/solving-percent-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Representing a number as a decimal, percent, and fraction 2 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Hkwfibux88s/default.jpg URL=http://www.youtube.com/watch?v=Hkwfibux88s description=Representing a number as a decimal, percent, and fraction 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/ordering-numeric-expressions_dup_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/identifying-percent-amount-and-base?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting percent to decimal and fraction | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-gB1y-PMWfs/default.jpg URL=http://www.youtube.com/watch?v=-gB1y-PMWfs description=You'll find that be able to move easily between percentages, decimals, and fractions is HUGELY helpful. So let's practice! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_decimals_to_percents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/converting-decimals-to-percents-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/describing-the-meaning-of-percent-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The meaning of percent over 100 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/MokI3Fi8jpc/default.jpg URL=http://www.youtube.com/watch?v=MokI3Fi8jpc description=How does our meaning of percent (per "hundred") translate when we need to understand a percent OVER a hundred? Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/representing-a-number-as-a-decimal-percent-and-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/describing-the-meaning-of-percent?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The meaning of percent | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Lvr2YsxG10o/default.jpg URL=http://www.youtube.com/watch?v=Lvr2YsxG10o description=Let's think about what percent really means by looking at a 10 by 10 grid. Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/describing-the-meaning-of-percent-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-2-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solvent Effects on Sn1 and Sn2 Reactions thumb=https://i.ytimg.com/vi/8J0ys3z5wzo/default.jpg URL=http://www.youtube.com/watch?v=8J0ys3z5wzo description=Solvent Effects on Sn1 and Sn2 Reactions/description type=video name=Sn2 Stereochemistry thumb=https://i.ytimg.com/vi/QxIUeYAQRy0/default.jpg URL=http://www.youtube.com/watch?v=QxIUeYAQRy0 description=Sn2 Stereochemistry/description type=video name=Nucleophile Strength thumb=https://i.ytimg.com/vi/Q4ZO05VQEqQ/default.jpg URL=http://www.youtube.com/watch?v=Q4ZO05VQEqQ description=Nucleophile Strength/description type=video name=Sn2 Reactions thumb=https://i.ytimg.com/vi/Z_85KXnBSYc/default.jpg URL=http://www.youtube.com/watch?v=Z_85KXnBSYc description=Sn2 Reactions/description type=video name=Markovnikov's rule and carbocations | Alkenes and Alkynes | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/X-VCk3WrGlM/default.jpg URL=http://www.youtube.com/watch?v=X-VCk3WrGlM description=Markovnikov's Rule and Carbocations. Figuring out which addition reaction is more likely. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/addition-of-water-acid-catalyzed-mechanism?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/introduction-to-reaction-mechanisms?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to reaction mechanisms | Alkenes and Alkynes | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Z_GWBW_GVGA/default.jpg URL=http://www.youtube.com/watch?v=Z_GWBW_GVGA description=Introduction to Reaction Mechanisms . Addition reaction to an alkene. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/markovnikov-s-rule-and-carbocations?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes/v/entgegen-zusammen-naming-scheme-for-alkenes-examples?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Molecular and Empirical Forumlas from Percent Composition thumb=https://i.ytimg.com/vi/_H009sTvYE0/default.jpg URL=http://www.youtube.com/watch?v=_H009sTvYE0 description=Molecular and Empirical Forumlas from Percent Composition. Example 2.9 from Kotz Chemistry book More free lessons at: http://www.khanacademy.org/video?v=_H009sTvYE0/description type=video name=Polymerization of alkenes with acid | Alkenes and Alkynes | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/tR-hzV5Tkxo/default.jpg URL=http://www.youtube.com/watch?v=tR-hzV5Tkxo description=Polymerization of Alkenes with Acid. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes-jay/v/alkene-intro-and-stability?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/addition-of-water-acid-catalyzed-mechanism?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Markovnikov's Rule and Carbocations thumb=https://i.ytimg.com/vi/9mJijsZZMsA/default.jpg URL=http://www.youtube.com/watch?v=9mJijsZZMsA description=Markovnikov's Rule and Carbocations/description type=video name=Introduction to Reaction Mechanisms thumb=https://i.ytimg.com/vi/XcUul3e7buw/default.jpg URL=http://www.youtube.com/watch?v=XcUul3e7buw description=Introduction to Reaction Mechanisms/description type=video name=Entgegen-Zusammen naming scheme for alkenes examples | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/GFiizJ-jGVw/default.jpg URL=http://www.youtube.com/watch?v=GFiizJ-jGVw description=Entgegen-Zusammen Naming Scheme for Alkenes Examples. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/alkene-reactions/v/introduction-to-reaction-mechanisms?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes/v/cis-trans-and-e-z-naming-scheme-for-alkenes?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=cis-trans and E-Z naming scheme for alkenes | Alkenes and Alkynes | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/oYoQpDtBLac/default.jpg URL=http://www.youtube.com/watch?v=oYoQpDtBLac description=Cis-Trans and E-Z Naming Scheme for Alkenes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes/v/entgegen-zusammen-naming-scheme-for-alkenes-examples?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes/v/naming-alkenes-examples?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rates and ratios | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/p5nomPfUF9k/default.jpg URL=http://www.youtube.com/watch?v=p5nomPfUF9k description=Simplifying Rates and Ratios Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/ratio_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/ratio-word-problem-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/ratios-as-fractions-in-simplest-form?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ratios as fractions in simplest form | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JWmCiZwoyMs/default.jpg URL=http://www.youtube.com/watch?v=JWmCiZwoyMs description=Ratios as Fractions in Simplest Form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/ratio_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/simplifying-rates-and-ratios?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/introduction-to-ratios-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving unit rates problem | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Zm0KaIw-35k/default.jpg URL=http://www.youtube.com/watch?v=Zm0KaIw-35k description=Finding a unit rate is a skill often required in real life. How fast is that plane flying? How many lawns can you mow in an afternoon? You see, with our knowledge of ratios and fractions, we can now solve unit rates problems like this. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/e/rate_problems_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/finding-unit-prices?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/usain-bolt-s-average-speed?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving unit price problem | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/d7rAlcNHDUI/default.jpg URL=http://www.youtube.com/watch?v=d7rAlcNHDUI description=Finding a unit rate is a skill often required in real life. How fast is that plane flying? How many lawns can you mow in an afternoon? You see, with our knowledge of ratios and fractions, we can now solve unit rates problems like this. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/e/rate_problems_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/multiple-rates-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/rates_tutorial/v/finding-unit-rates?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find an Unknown in a Proportion thumb=https://i.ytimg.com/vi/e_6lyl3Lq-c/default.jpg URL=http://www.youtube.com/watch?v=e_6lyl3Lq-c description=U04_L2_T1_we2 Find an Unknown in a Proportion/description type=video name=Proportion validity example | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/V3FvaClh6LY/default.jpg URL=http://www.youtube.com/watch?v=V3FvaClh6LY description=Understanding Proportions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/solving-ratio-problems-with-tables?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/solving-ratio-problems-with-tables-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/ratio-word-problem-exercise-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Find an Unknown in a Proportion 2 thumb=https://i.ytimg.com/vi/biL7ILa6P6A/default.jpg URL=http://www.youtube.com/watch?v=biL7ILa6P6A description=U04_L2_T1_we3 Find an Unknown in a Proportion 2/description type=video name=Adding and subtracting decimals word problem | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/hy_bDS3aHO4/default.jpg URL=http://www.youtube.com/watch?v=hy_bDS3aHO4 description=Let's get fancy and practice adding and subtracting decimals in the same word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/adding_and_subtracting_decimals_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals-old?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting decimals example 1 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Eq4mVCd-yyo/default.jpg URL=http://www.youtube.com/watch?v=Eq4mVCd-yyo description=Just like when add, be sure you align decimals before subtracting. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/subtracting_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals-up-to-hundredths?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying decimals example | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JEHejQphIYc/default.jpg URL=http://www.youtube.com/watch?v=JEHejQphIYc description=Multiplying decimals? Try multiplying without the decimals first, them add them back in. We'll show you. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/e/multiplying_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/more-involved-multiplying-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/more-intuition-on-multiplying-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying Decimals 2 thumb=https://i.ytimg.com/vi/1fnzY3WypMA/default.jpg URL=http://www.youtube.com/watch?v=1fnzY3WypMA description=U03_L2_T2_we2 Multiplying Decimals 2/description type=video name=Dividing Decimals 2 thumb=https://i.ytimg.com/vi/D_E4Jws71rE/default.jpg URL=http://www.youtube.com/watch?v=D_E4Jws71rE description=U03_L2_T2_we4 Dividing Decimals 2/description type=video name=Dividing by a multi-digit decimal | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Nqts8zW8RxM/default.jpg URL=http://www.youtube.com/watch?v=Nqts8zW8RxM description=Let's do one more decimal division problem together but change it up. This is one with a decimal divisor and will require you to shift the decimal first. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-a-whole-number-by-a-decimal?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying decimals word problem | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/W7dImsrVa0Y/default.jpg URL=http://www.youtube.com/watch?v=W7dImsrVa0Y description=We're multiplying decimals again, but this time answering a common question: what's the cost of filling up the car tank? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/e/multiplying_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/more-intuition-on-multiplying-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/intro-to-multiplying-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Estimation with Decimals thumb=https://i.ytimg.com/vi/BkwI6Uu0vi4/default.jpg URL=http://www.youtube.com/watch?v=BkwI6Uu0vi4 description=U03_L2_T3_we1 Estimation with Decimals Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Dividing a decimal by a power of 10: shortcut | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/HLGCq2h4ihY/default.jpg URL=http://www.youtube.com/watch?v=HLGCq2h4ihY description=Holy cow! A shortcut? Yep. For each ten you multiply or divide by, just shift that decimal to the right or left. Watch this and be amazed. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/e/converting_fractions_to_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-perc-frac-pre-alg/v/adding-and-subtracting-a-decimal-percentage-and-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/mult-div-by-10-dec-pre-alg/v/dividing-a-decimal-by-a-power-of-10?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing decimals example 3 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/HCC96awA-FM/default.jpg URL=http://www.youtube.com/watch?v=HCC96awA-FM description=We're using the less than and greater than symbols to compare decimals now. Cool! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/e/comparing_decimals_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals-2-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/comparing-decimals-pre-alg/v/comparing-decimals-1-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimal place value | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/x-Dqe5U1TXA/default.jpg URL=http://www.youtube.com/watch?v=x-Dqe5U1TXA description=Decimal Place Value Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/e/writing-and-interpreting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/decimal-place-value-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/v/lcm-and-gcf-greatest-common-factor-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimal to simplified fraction | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NzIoHQfStoM/default.jpg URL=http://www.youtube.com/watch?v=NzIoHQfStoM description=Here's an example of how we convert a decimal to a simplified fraction. Over time this will become second nature to you. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/e/converting_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-decimals-to-fractions-1-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Decimals: writing it out in words | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/AuD2TX-90Cc/default.jpg URL=http://www.youtube.com/watch?v=AuD2TX-90Cc description=By writing out a decimal in words, you're forced to really show your understanding of it. Give it a try! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/e/writing-and-interpreting-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/writing-out-a-decimal-in-words?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-place-value-pre-alg/v/decimal-place-value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding decimals: example 3 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/w616LEmrHVE/default.jpg URL=http://www.youtube.com/watch?v=w616LEmrHVE description=We're adding 3 decimal numbers together in this example. Give it a try! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/adding_decimals_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals-up-to-hundredths?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/adding-decimals-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rounding decimals: to the nearest tenth | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/_MIn3zFkEcc/default.jpg URL=http://www.youtube.com/watch?v=_MIn3zFkEcc description=Rounding. Oh my....there will be so many times when rounding numbers (including decimals) will be a required skill. Let's get this down, shall we? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dec-rounding-estimation-pre-alg/e/rounding_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/sig-figs-pre-alg/v/significant-figures?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-word-probs-pre-alg/v/solving-percent-problems-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Pythagorean theorem intro | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/AA6RfgP-AHU/default.jpg URL=http://www.youtube.com/watch?v=AA6RfgP-AHU description=Introduction to the Pythagorean Theorem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/e/pythagorean_theorem_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angles formed between transversals and parallel lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/gRKZaojKeP0/default.jpg URL=http://www.youtube.com/watch?v=gRKZaojKeP0 description=Angles of parallel lines Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-of-parallel-lines-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angles of parallel lines 2 | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/0eDwckZOffc/default.jpg URL=http://www.youtube.com/watch?v=0eDwckZOffc description=Angles of parallel lines examples Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/the-angle-game?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-formed-between-transversals-and-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting fractions with like denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/UbUdyE1_b9g/default.jpg URL=http://www.youtube.com/watch?v=UbUdyE1_b9g description=Just like when we added...subtracting fractions is pretty straightforward when the two fractions have like denominators. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/e/subtracting_fractions_with_common_denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/adding-fractions-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/adding-fractions-with-like-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting mixed numbers | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/WF7L2waDwLw/default.jpg URL=http://www.youtube.com/watch?v=WF7L2waDwLw description=Subtracting Mixed Numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/subtracting-mixed-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-mixed-numbers-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting mixed numbers 2 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4LYtLMmDuzw/default.jpg URL=http://www.youtube.com/watch?v=4LYtLMmDuzw description=Subtracting Mixed Numbers 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/subtracting-mixed-numbers-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/subtracting-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtracting mixed numbers word problem | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tj9oLZYA-AQ/default.jpg URL=http://www.youtube.com/watch?v=tj9oLZYA-AQ description=Subtracting Mixed Numbers Word Problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-0-5-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/subtracting-mixed-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to add fractions that have different denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/OVMceVL_CEQ/default.jpg URL=http://www.youtube.com/watch?v=OVMceVL_CEQ description=To solve this problem, we need to find the least common multiple to get at the common denominator. Can you help? We bet you can! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/e/adding_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-ex-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-and-subtracting-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding fractions with like denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/EJjnEau6aeI/default.jpg URL=http://www.youtube.com/watch?v=EJjnEau6aeI description=With like denominators, you're basically just adding numerators. That's not too bad, right? Can the resulting fraction be simplified? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/e/adding_fractions_with_common_denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/add-and-subtract-fracs-pre-alg/v/subtracting-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-with-different-signs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding mixed numbers with unlike denominators | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/CfBYGFm5gPA/default.jpg URL=http://www.youtube.com/watch?v=CfBYGFm5gPA description=Adding Mixed Numbers with Unlike Denominators Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-mixed-numbers-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding mixed numbers | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4TBVB4hLQhY/default.jpg URL=http://www.youtube.com/watch?v=4TBVB4hLQhY description=Adding Mixed Numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-mixed-numbers-with-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/points-on-a-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding mixed numbers word problem | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/o0arqcKC7QE/default.jpg URL=http://www.youtube.com/watch?v=o0arqcKC7QE description=Adding Mixed Numbers Word Problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/e/adding_subtracting_mixed_numbers_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/subtracting-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-mixed-numbers-with-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing fractions example 2 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tnkPY4UqJ44/default.jpg URL=http://www.youtube.com/watch?v=tnkPY4UqJ44 description=Let's take another stab at dividing two fractions. This time the answer should be a mixed number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/e/dividing_fractions_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/dividing-fractions-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/another-dividing-fractions-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reciprocal of a mixed number | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/6YYiiixYz9A/default.jpg URL=http://www.youtube.com/watch?v=6YYiiixYz9A description=Reciprocal of a Mixed Number Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/dividing-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/multiplying-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing mixed numbers and fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/aNeCGxJVG7w/default.jpg URL=http://www.youtube.com/watch?v=aNeCGxJVG7w description=Dividing Mixed Numbers and Fractions Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/decimals-fractions-pre-alg/v/decimals-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/dividing-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing mixed numbers | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/51-U-Jkq79A/default.jpg URL=http://www.youtube.com/watch?v=51-U-Jkq79A description=Dividing Mixed Numbers Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/dividing-mixed-numbers-and-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/reciprocal-of-a-mixed-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing whole numbers and fractions: t-shirts | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PQsgXNggV7Q/default.jpg URL=http://www.youtube.com/watch?v=PQsgXNggV7Q description=Dividing a whole number by a fraction? Turn the tables and multiply by the reciprocal of the fraction. Boom! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/e/dividing_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/div-fractions-fractions-pre-alg/v/conceptual-understanding-of-dividing-fractions-by-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/dividing-fractions-pre-alg/v/dividing-a-fraction-by-a-whole-number-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying two fractions: example | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/CTKMK1ZGLuk/default.jpg URL=http://www.youtube.com/watch?v=CTKMK1ZGLuk description=Let's practice multiplying two fractions together. We'll learn to simplify the answer, too. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/e/multiplying_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-negative-and-positive-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/multiplying-fractions-pre-alg/v/multiplying-a-fraction-by-a-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions and whole numbers: mixed number answer | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/p729tFmpOXg/default.jpg URL=http://www.youtube.com/watch?v=p729tFmpOXg description=Sometimes the product of multiplying fractions and whole numbers is a mixed number. Mixed up? You won't be for long! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/e/multiplying_mixed_numbers_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/multiplying-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-add-sub-pre-alg/v/adding-subtracting-mixed-numbers-1-ex-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to multiply mixed numbers | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/RPhaidW0dmY/default.jpg URL=http://www.youtube.com/watch?v=RPhaidW0dmY description=Learn how to multiply two mixed numbers. The example used in this video is 1 and 3/4 multiplied by 7 and 1/5. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/e/multiplying_mixed_numbers_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/reciprocal-of-a-mixed-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-number-mult-div-pre-alg/v/multiplying-fractions-and-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying fractions word problem: banana oat muffin recipe | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/YJgIGwTysk0/default.jpg URL=http://www.youtube.com/watch?v=YJgIGwTysk0 description=We hope you learn to cook. Everyone should! At some point you'll need to make 1/2 a recipe which means using 1/2 of every ingredient in the recipe. Here's an example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/e/multiplying-fractions-by-fractions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-4?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mult-fracs-word-probs-pre-alg/v/multiplying-fractions-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing divisibility | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/2G_Jr_XpnY4/default.jpg URL=http://www.youtube.com/watch?v=2G_Jr_XpnY4 description=Recognizing Divisibility Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/e/divisibility_tests?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/the-why-of-the-3-divisibility-rule?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/divisibility-tests-for-2-3-4-5-6-9-10?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying fraction parts | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-a_w0_VAo6U/default.jpg URL=http://www.youtube.com/watch?v=-a_w0_VAo6U description=Identifying Fraction Parts Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/e/recognizing_fractions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/recognizing-fractions-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/introduction-to-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Numerator and denominator of a fraction | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3XOt1fjWKi8/default.jpg URL=http://www.youtube.com/watch?v=3XOt1fjWKi8 description=Numerator and Denominator of a Fraction Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/e/recognizing_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/plotting-basic-fractions-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/understanding-fractions-pre-alg/v/recognizing-fractions-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proper and Improper Fractions thumb=https://i.ytimg.com/vi/cLYa05dOy8E/default.jpg URL=http://www.youtube.com/watch?v=cLYa05dOy8E description=U02_L1_T2_we1 Proper and Improper Fractions/description type=video name=Mixed numbers: changing to improper fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xkg7370cpjs/default.jpg URL=http://www.youtube.com/watch?v=xkg7370cpjs description=Learn how to convert a mixed number into an improper fraction. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/converting_mixed_numbers_and_improper_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/changing-an-improper-fraction-to-a-mixed-number?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/converting-mixed-numbers-to-improper-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding factors of a number | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/vcn2ruTOwFo/default.jpg URL=http://www.youtube.com/watch?v=vcn2ruTOwFo description=To find the factors of a number means to find all the whole numbers that the number in question is divisible by. Can you help us find the factors in this example? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/e/divisibility_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_and_factors/v/finding-factors-and-multiples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/divisibility_tests/v/the-why-of-the-9-divisibility-rule?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mixed numbers: changing from an improper fraction | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8JyPzTeA_8w/default.jpg URL=http://www.youtube.com/watch?v=8JyPzTeA_8w description=Let's help our top-heavy improper fraction friend switch over into a mixed number! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/converting_mixed_numbers_and_improper_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/postive-improper-fractions-on-the-number-line?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/changing-a-mixed-number-to-an-improper-fraction?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Prime factorization | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ZKKDTfHcsG0/default.jpg URL=http://www.youtube.com/watch?v=ZKKDTfHcsG0 description=Prime Factorization Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/e/prime_factorization?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_factorization/v/prime-factorization-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/prime_numbers/v/recognizing-prime-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fraction word problem example 4 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/0JW9P_T4P_Y/default.jpg URL=http://www.youtube.com/watch?v=0JW9P_T4P_Y description=How many times have you been told, "Save your money!" We thought so. What if you wanted to save a fractional amount of your allowance? How would you go about figuring out how much to save? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/e/equivalent_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/finding-common-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractions in lowest terms | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/WPimvspI0_c/default.jpg URL=http://www.youtube.com/watch?v=WPimvspI0_c description=Fractions in lowest terms Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/e/simplifying_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/equivalent-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/visualizing-equiv-fracs-pre-alg/v/equivalent-fraction-word-problem-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing Fractions 2 thumb=https://i.ytimg.com/vi/EiXl9g3TRvw/default.jpg URL=http://www.youtube.com/watch?v=EiXl9g3TRvw description=U02_L1_T5_we2 Comparing Fractions 2/description type=video name=Comparing fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Io9i1JkKgN4/default.jpg URL=http://www.youtube.com/watch?v=Io9i1JkKgN4 description=Comparing Fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/e/comparing_fractions_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/comparing-fractions-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/comparing-fractions-pre-alg/v/fractions-with-like-denominators-numerators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent example 2 | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/mJ1P4A-KA8k/default.jpg URL=http://www.youtube.com/watch?v=mJ1P4A-KA8k description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/e/positive_and_zero_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/raising-a-number-to-the-0th-and-1st-power?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/understanding-exponents-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding square roots | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ROIfbUQrSY4/default.jpg URL=http://www.youtube.com/watch?v=ROIfbUQrSY4 description=Understanding Square Roots Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/square_roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/approximating-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/powers-of-zero?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The distributive law of multiplication over addition | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gl_-E6iVAg4/default.jpg URL=http://www.youtube.com/watch?v=gl_-E6iVAg4 description=Learn how to apply the distributive law of multiplication over addition and why it works. This is sometimes just called the distributive law or the distributive property. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/e/distributive_property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/the-distributive-property-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/more-complicated-order-of-operations-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The distributive law of multiplication over subtraction | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Badvask-UDU/default.jpg URL=http://www.youtube.com/watch?v=Badvask-UDU description=Learn how to apply the distributive property of multiplication over subtraction and why it works. This is sometimes just called the distributive property or distributive law. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/e/distributive_property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/distributive-property-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order of operations example | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/GiSpzFKI5_w/default.jpg URL=http://www.youtube.com/watch?v=GiSpzFKI5_w description=Work through a challenging order of operations example with only positive numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/e/order_of_operations_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/order-of-operations-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/introduction-to-order-of-operations?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent example 1 | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5qfOViJda_g/default.jpg URL=http://www.youtube.com/watch?v=5qfOViJda_g description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/e/positive_and_zero_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/understanding-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/World-of-exponents/v/introduction-to-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order of Operations 2 thumb=https://i.ytimg.com/vi/_xuXwHhqNUg/default.jpg URL=http://www.youtube.com/watch?v=_xuXwHhqNUg description=U01_L5_T2_we2 Order of Operations 2/description type=video name=Example: Expressing division in multiple ways | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/4I9iibPLdBw/default.jpg URL=http://www.youtube.com/watch?v=4I9iibPLdBw description=Dividing Whole Numbers and Applications 1 Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/mult-div-word-problems/v/comparing-with-multiplication-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/delightful_division/v/division-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing Whole Numbers and Applications 2 thumb=https://i.ytimg.com/vi/chWcaZSLmHE/default.jpg URL=http://www.youtube.com/watch?v=chWcaZSLmHE description=U01_L3_T2_we2 Dividing Whole Numbers and Applications 2/description type=video name=Dividing Whole Numbers and Applications 3 thumb=https://i.ytimg.com/vi/qoDJwyyD_pg/default.jpg URL=http://www.youtube.com/watch?v=qoDJwyyD_pg description=U01_L3_T2_we3 Dividing Whole Numbers and Applications 3/description type=video name=Dividing Whole Numbers and Applications 4 thumb=https://i.ytimg.com/vi/4yp5v64XuRc/default.jpg URL=http://www.youtube.com/watch?v=4yp5v64XuRc description=U01_L3_T2_we4 Dividing Whole Numbers and Applications 4/description type=video name=Dividing Whole Numbers and Applications 5 thumb=https://i.ytimg.com/vi/MS7k0BVR_uM/default.jpg URL=http://www.youtube.com/watch?v=MS7k0BVR_uM description=U01_L3_T2_we5 Dividing Whole Numbers and Applications 5/description type=video name=Dividing Whole Numbers and Applications 6 thumb=https://i.ytimg.com/vi/SQ523h4CTMM/default.jpg URL=http://www.youtube.com/watch?v=SQ523h4CTMM description=U01_L3_T2_we6 Dividing Whole Numbers and Applications 6/description type=video name=Identity property of 1 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/6nZp2QGeQ9k/default.jpg URL=http://www.youtube.com/watch?v=6nZp2QGeQ9k description=Identity Property of 1 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/identity-property-of-1-second-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/number-properties-terminology-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Properties of Whole Numbers thumb=https://i.ytimg.com/vi/HhwqS_d7Qp8/default.jpg URL=http://www.youtube.com/watch?v=HhwqS_d7Qp8 description=U01_L4_T1_we1 Properties of Whole Numbers/description type=video name=Commutative law of addition | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/HwSszh3L358/default.jpg URL=http://www.youtube.com/watch?v=HwSszh3L358 description=Commutative Law of Addition Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/commutative-property-for-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/distributive-property-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Commutative law of multiplication | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ENKH97PYssg/default.jpg URL=http://www.youtube.com/watch?v=ENKH97PYssg description=Commutative Law of Multiplication Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/associative-law-of-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/commutative-property-for-addition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Associative law of addition | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/oTKVXJ7TcbA/default.jpg URL=http://www.youtube.com/watch?v=oTKVXJ7TcbA description=Associative Law of Addition Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/associative-law-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/commutative-law-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Associative Law of Multiplication thumb=https://i.ytimg.com/vi/5RzDVNob0-0/default.jpg URL=http://www.youtube.com/watch?v=5RzDVNob0-0 description=U01_L4_T1_we6 Associative Law of Multiplication More free lessons at: http://www.khanacademy.org/video?v=5RzDVNob0-0 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Comparing whole numbers | Place value (tens and hundreds) | Early Math | Khan Academy thumb=https://i.ytimg.com/vi/9Jg5S7F2SMQ/default.jpg URL=http://www.youtube.com/watch?v=9Jg5S7F2SMQ description=Learn how to compare whole numbers. The numbers used in this video are 394 and 397. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-three-digit-compare/e/comparing-numbers-within-1000?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Watch the next lesson: https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-20/cc-early-math-add-20/v/adding-within-20?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Missed the previous lesson? https://www.khanacademy.org/math/early-math/cc-early-math-place-value-topic/cc-early-math-tens/v/rep-quantity-with-digits?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath Early Math on Khan Academy: Math begins with counting. It's the most important skill we learn in our early years and becomes the foundation for all other math concepts. Once we can count, we can add, subtract, and measure the world around us. Shortly thereafter, we can learn about place values, plots, graphs, time, money, and shapes. These early math skills are presented in this subject's tutorials in a straightforward, understandable, and (dare we say it) fun way! Want a virtual coach for Early Math? Unlock the Early Math mission on Khan Academy here: https://www.khanacademy.org?utm_source=YT&utm_medium=Desc&utm_campaign=EarlyMath About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Early Math channel: https://www.youtube.com/channel/UCs8a-pNM8EHKKU28XQLetLw?sub_confirmation=1 Subscribe to KhanAcademy: http://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Comparing Whole Numbers 2 thumb=https://i.ytimg.com/vi/KMwzeYAtJDc/default.jpg URL=http://www.youtube.com/watch?v=KMwzeYAtJDc description=U01_L1_T3_we2 Comparing Whole Numbers 2/description type=video name=Comparing Whole Numbers 3 thumb=https://i.ytimg.com/vi/zVqLlUpCnd0/default.jpg URL=http://www.youtube.com/watch?v=zVqLlUpCnd0 description=U01_L1_T3_we3 Comparing Whole Numbers 3/description type=video name=Adding Whole Numbers and Applications 2 thumb=https://i.ytimg.com/vi/8TD6iDzt4oQ/default.jpg URL=http://www.youtube.com/watch?v=8TD6iDzt4oQ description=U01_L2_T1_we2 Adding Whole Numbers and Applications 2/description type=video name=Example: Adding two digit numbers (no carrying) | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/b22tMEc6Kko/default.jpg URL=http://www.youtube.com/watch?v=b22tMEc6Kko description=Adding Whole Numbers and Applications 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub/e/addition_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub/v/subtraction-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/basic_addition/v/basic-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: 2-digit times 2-digit | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/0WUXQNjdRvM/default.jpg URL=http://www.youtube.com/watch?v=0WUXQNjdRvM description=Multiplying Whole Numbers and Applications 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-6-multiple-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-5-2-digit-times-a-2-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding Whole Numbers and Applications 4 thumb=https://i.ytimg.com/vi/-HaI9U9w3CM/default.jpg URL=http://www.youtube.com/watch?v=-HaI9U9w3CM description=U01_L2_T1_we4 Adding Whole Numbers and Applications 3/description type=video name=Adding Whole Numbers and Applications 3 thumb=https://i.ytimg.com/vi/YB2ATNCMciY/default.jpg URL=http://www.youtube.com/watch?v=YB2ATNCMciY description=U01_L2_T1_we3 Adding Whole Numbers and Applications 3/description type=video name=Rounding to Estimate Differences thumb=https://i.ytimg.com/vi/XBarsXzUtuE/default.jpg URL=http://www.youtube.com/watch?v=XBarsXzUtuE description=U01_L2_T3_we1 Rounding to Estimate Differences/description type=video name=Rounding to Estimate Sums thumb=https://i.ytimg.com/vi/lNfZQNWZklI/default.jpg URL=http://www.youtube.com/watch?v=lNfZQNWZklI description=U01_L2_T3_we2 Rounding to Estimate Sums/description type=video name=Rounding to Estimate Sums 2 thumb=https://i.ytimg.com/vi/j21X53Rwqt4/default.jpg URL=http://www.youtube.com/watch?v=j21X53Rwqt4 description=U01_L2_T3_we3 Rounding to Estimate Sums 2/description type=video name=Example: Ways to represent multiplication | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/Yw3EoxC_GXU/default.jpg URL=http://www.youtube.com/watch?v=Yw3EoxC_GXU description=Multiplying Whole Numbers and Applications 1 Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/multiplication-3-10-11-12-times-tables?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/multiplication-2-the-multiplication-tables?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying Whole Numbers and Applications 3 thumb=https://i.ytimg.com/vi/CCPrxewq4bU/default.jpg URL=http://www.youtube.com/watch?v=CCPrxewq4bU description=U01_L3_T1_we3 Multiplying Whole Numbers and Applications 3/description type=video name=Multiplication estimation example | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/tx2Niw7aJJ8/default.jpg URL=http://www.youtube.com/watch?v=tx2Niw7aJJ8 description=Estimating the product of two, 2-digit numbers Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-7-old-video-giving-more-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-6-multiple-digit-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying Whole Numbers and Applications 5 thumb=https://i.ytimg.com/vi/_AP6rM49rOc/default.jpg URL=http://www.youtube.com/watch?v=_AP6rM49rOc description=U01_L3_T1_we5 Multiplying Whole Numbers and Applications 5/description type=video name=Finding a number's place value | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/jxA8MffVmPs/default.jpg URL=http://www.youtube.com/watch?v=jxA8MffVmPs description=When finding the place value of a particular number, it helps to write out exactly what the number means. Listen as we explain in this video. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/e/place_value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/place-value-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/calculating-red-blood-cells-in-the-body-using-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing a number in standard form | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/wd4cRAoBOiE/default.jpg URL=http://www.youtube.com/watch?v=wd4cRAoBOiE description=Here's a BIG number that needs to be expressed in standard form. Can you do this example with us? I bet you can! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/e/place_value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/place-value-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/place-value-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rounding whole numbers example 1 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/_qzs1zozTBo/default.jpg URL=http://www.youtube.com/watch?v=_qzs1zozTBo description=Here's a whole numbers rounding exercise. Let's do this example together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/e/rounding_whole_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/v/rounding-whole-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/understanding-place-value-1-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing a number in expanded form | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/iK0y39rjBgQ/default.jpg URL=http://www.youtube.com/watch?v=iK0y39rjBgQ description=What is the "expanded" form of a number? Take a big number and break it down to its ones, tens, hundreds, and other place values and you have expanded form. Not sure what we mean? No worries. We'll explain. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/e/place_value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/representing-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/place-value-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rounding whole numbers 3 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3jBfLaLrk6I/default.jpg URL=http://www.youtube.com/watch?v=3jBfLaLrk6I description=You're becoming a pro at rounding whole numbers. Here's another example exercise. Can you do it first before watching the end of the video? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/e/rounding_whole_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/whole-number-representations-tut/v/regrouping-numbers-intro-various-place-values?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/v/rounding-whole-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rounding whole numbers example 2 | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/fh8gkPW_6g4/default.jpg URL=http://www.youtube.com/watch?v=fh8gkPW_6g4 description=Another rounding exercise using whole numbers. Having fun yet? We are! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/e/rounding_whole_numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/rounding_whole_numbers/v/rounding-whole-numbers-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/place_value/v/understanding-place-value-1-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimal angle for a projectile part 1: Components of initial velocity | Khan Academy thumb=https://i.ytimg.com/vi/RhUdv0jjfcE/default.jpg URL=http://www.youtube.com/watch?v=RhUdv0jjfcE description=You want a projectile to fly as far as possible, at which angle should you launch it? We'll start with formulas for the initial velocity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-2-hangtime?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/projectile-motion-with-ordered-set-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimal angle for a projectile part 2: Hangtime | Physics | Khan Academy thumb=https://i.ytimg.com/vi/XtAB9GOfLiM/default.jpg URL=http://www.youtube.com/watch?v=XtAB9GOfLiM description=Now it's time to think about hangtime for our far-flung projectile. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-3-horizontal-distance-as-a-function-of-angle-and-speed?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimal angle for a projectile part 3: Horizontal distance as a function of angle (and speed) thumb=https://i.ytimg.com/vi/-h_x8TwC1ik/default.jpg URL=http://www.youtube.com/watch?v=-h_x8TwC1ik description=In this video, we'll finish writing the formula for distance as a function of the angle. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-4-finding-the-optimal-angle-and-distance-with-a-bit-of-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-2-hangtime?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Optimal angle for a projectile part 4: Finding the optimal angle and distance with a bit of calculus thumb=https://i.ytimg.com/vi/snw0BrCBQYQ/default.jpg URL=http://www.youtube.com/watch?v=snw0BrCBQYQ description=Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/newtons-laws-of-motion/v/newton-s-1st-law-of-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-3-horizontal-distance-as-a-function-of-angle-and-speed?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inductive patterns | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/GvbrtnEYRpY/default.jpg URL=http://www.youtube.com/watch?v=GvbrtnEYRpY description=Inductive Patterns Watch the next lesson: https://www.khanacademy.org/math/precalculus/hyperbolic_trig_topic/hyperbolic_trig_intro/v/hyperbolic-trig-function-inspiration?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/inductive-reasoning-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of linear inequalities word problems example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/BUmLw5m6F9s/default.jpg URL=http://www.youtube.com/watch?v=BUmLw5m6F9s description=Sal models a real-world context into an algebraic system of linear inequalities and graphs it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/e/graphing_systems_of_inequalities_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/fancier_systems_precalc/v/systems-of-three-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/v/graphing-systems-of-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U03_L2_T1_we2 Representing Functions as Graphs thumb=https://i.ytimg.com/vi/12w3qsF4xmE/default.jpg URL=http://www.youtube.com/watch?v=12w3qsF4xmE description=U03_L2_T1_we2 Representing Functions as Graphs/description type=video name=Finding the inequality representing the graph example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/FnrqBgot3jM/default.jpg URL=http://www.youtube.com/watch?v=FnrqBgot3jM description=Learn how to fit an algebraic inequality to its appropriate graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/e/graphs_of_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-linear-inequalities-in-two-variables-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U06_L1_T1_we1 Solving Systems by Graphing thumb=https://i.ytimg.com/vi/Li5XGPiLLAY/default.jpg URL=http://www.youtube.com/watch?v=Li5XGPiLLAY description=U06_L1_T1_we1 Solving Systems by Graphing/description type=video name=Absolute value equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ZEml96_kyN4/default.jpg URL=http://www.youtube.com/watch?v=ZEml96_kyN4 description=Absolute Value Equations Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stereoisomers, enantiomers, diastereomers, constitutional isomers and meso compounds | Khan Academy thumb=https://i.ytimg.com/vi/457xnJv80O0/default.jpg URL=http://www.youtube.com/watch?v=457xnJv80O0 description=Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/diastereomers-meso-compounds/v/enantiomers-and-diastereomers?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/optical-activity/v/optical-activity-calculations-new?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=R,S (Cahn-Ingold-Prelog) naming system example 2 | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/peQsBg9P4ms/default.jpg URL=http://www.youtube.com/watch?v=peQsBg9P4ms description=R,S (Cahn-Ingold-Prelog) Naming System Example 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/optical-activity/v/rs-system-practice-new?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/optical-activity/v/rs-system-new?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cahn-Ingold-Prelog system for naming enantiomers | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/DfO27juYly8/default.jpg URL=http://www.youtube.com/watch?v=DfO27juYly8 description=Cahn-Ingold-Prelog System for Naming Enantiomers. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/optical-activity/v/rs-system-new?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/optical-activity/v/drawing-enantiomers?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chiral examples 2 | Stereochemistry | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/QQMZ1ljepWg/default.jpg URL=http://www.youtube.com/watch?v=QQMZ1ljepWg description=Chiral examples 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/v/chiral-achiral-jay?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/v/chiral-examples-1?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chiral examples 1 | Stereochemistry | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/0XSSPow5oAc/default.jpg URL=http://www.youtube.com/watch?v=0XSSPow5oAc description=Chiral examples 1. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/v/chiral-examples-2?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/v/introduction-to-chirality?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to chirality | Stereochemistry | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/tk-SNvCPLCE/default.jpg URL=http://www.youtube.com/watch?v=tk-SNvCPLCE description=Introduction to chirality (handedness), and how chirality is related to the groups bonded to a central carbon. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/stereochemistry-topic/chirality-r-s-system/v/chiral-examples-1?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double Newman diagram for methylcyclohexane | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/I6LsWSXx8fg/default.jpg URL=http://www.youtube.com/watch?v=I6LsWSXx8fg description=Double Newman diagram for methylcyclohexane. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations/v/stability-of-cycloalkanes?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations/v/chair-and-boat-shapes-for-cyclohexane?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry ?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chair and boat shapes for cyclohexane | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/YUEkOBvJSNg/default.jpg URL=http://www.youtube.com/watch?v=YUEkOBvJSNg description=Chair and Boat Shapes for Cyclohexane. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations/v/double-newman-diagram-for-methcyclohexane?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes/v/newman-projection-practice-2?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newman projections 2 | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ryJvNEHcuDg/default.jpg URL=http://www.youtube.com/watch?v=ryJvNEHcuDg description=Newman Projections 2. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes/v/conformations-of-ethane?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes/v/newman-projections?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newman projections | Alkanes, cycloalkanes, and functional groups | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/IkmM4CPnqF0/default.jpg URL=http://www.youtube.com/watch?v=IkmM4CPnqF0 description=Newman Projections. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/conformations-alkanes-cycloalkanes/v/newman-projections-2?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic/v/heats-of-combustion-of-alkanes?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pi bonds and sp2 hybridized orbitals | Structure and bonding | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/lJX8DxoPRfk/default.jpg URL=http://www.youtube.com/watch?v=lJX8DxoPRfk description=Pi bonds and sp2 Hybridized Orbitals. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/gen-chem-review/hybrid-orbitals-jay/v/sp3-hybrid-orbital-jay-final?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/gen-chem-review/hybrid-orbitals-jay/v/sp3-hybridized-orbitals-and-sigma-bonds?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=sp3 hybridized orbitals and sigma bonds | Structure and bonding | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/u1eGSL6J6Fo/default.jpg URL=http://www.youtube.com/watch?v=u1eGSL6J6Fo description=sp3 Hybridized Orbitals and Sigma Bonds. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/gen-chem-review/hybrid-orbitals-jay/v/pi-bonds-and-sp2-hybridized-orbitals?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/gen-chem-review/dot-strcutures-jay/v/dot-structures-ii-multiple-bonds-1?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Naming alkyl halides | Substitution and elimination reactions | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/jiJdNWzETSk/default.jpg URL=http://www.youtube.com/watch?v=jiJdNWzETSk description=Naming alkyl halides. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/sn1-sn2-sal/v/curly-arrow-conventions?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/substitution-elimination-reactions/free-radical-reaction-alkanes/v/free-radical-reactions?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Organic Chemistry Naming Examples 4 thumb=https://i.ytimg.com/vi/25axjMBeMxE/default.jpg URL=http://www.youtube.com/watch?v=25axjMBeMxE description=Organic Chemistry Naming Examples 4/description type=video name=Naming alkenes examples | Alkenes and Alkynes | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/KWv5PaoHwPA/default.jpg URL=http://www.youtube.com/watch?v=KWv5PaoHwPA description=Naming Alkenes Examples. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/alkenes-alkynes/naming-alkenes/v/cis-trans-and-e-z-naming-scheme-for-alkenes?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Organic chemistry naming examples 4 | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/6BR0Q5e74bs/default.jpg URL=http://www.youtube.com/watch?v=6BR0Q5e74bs description=Organic chemistry naming examples 4. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes-cycloalkanes-bicyclic/v/alkane-and-cycloalkane-nomenclature-i?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/systematic-naming-of-isobutyl-groups?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Organic chemistry naming examples 3 | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Se-ekDNhCDk/default.jpg URL=http://www.youtube.com/watch?v=Se-ekDNhCDk description=Organic chemistry naming examples 3, containing branching and cycles. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/naming-cycloalkane?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/organic-chemistry-naming-examples-2?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Correction - 2-propylheptane should never be the name! | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/CFBKfgGTP98/default.jpg URL=http://www.youtube.com/watch?v=CFBKfgGTP98 description=Correction - 2-Propylheptane should never be the name! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/common-and-systematic-naming-iso-sec-and-tert-prefixes?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/naming-alkanes-with-alkyl-groups?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Organic chemistry naming examples 2 | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/CJRQ8gOjq4E/default.jpg URL=http://www.youtube.com/watch?v=CJRQ8gOjq4E description=Organic chemistry naming examples involving branching and rings. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/organic-chemistry-naming-examples-3?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/alkane-with-isopropyl-group?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More Organic Chemistry Naming Examples 1 thumb=https://i.ytimg.com/vi/96D7RHUQvMA/default.jpg URL=http://www.youtube.com/watch?v=96D7RHUQvMA description=More Organic Chemistry Naming Examples 1/description type=video name=Common and systematic naming: iso-, sec-, and tert- prefixes | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/TJUm860AjNw/default.jpg URL=http://www.youtube.com/watch?v=TJUm860AjNw description=Common and systematic naming - Iso, Sec and Tert prefixes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/alkane-with-ethyl-groups?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/correction-2-propylheptane-should-never-be-the-name?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Naming alkanes with alkyl groups | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/KKAD-OOOHxg/default.jpg URL=http://www.youtube.com/watch?v=KKAD-OOOHxg description=Naming linear alkanes with branching starting from the structure, and drawing the structures based on the name. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/correction-2-propylheptane-should-never-be-the-name?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/naming-simple-alkanes?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Naming simple alkanes | Organic chemistry | Khan Academy thumb=https://i.ytimg.com/vi/NRFPvLp3r3g/default.jpg URL=http://www.youtube.com/watch?v=NRFPvLp3r3g description=Naming simple linear and cyclic alkanes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/naming-alkanes-with-alkyl-groups?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Missed the previous lesson? https://www.khanacademy.org/science/organic-chemistry/bond-line-structures-alkanes-cycloalkanes/naming-alkanes/v/representing-structures-of-organic-molecules?utm_source=YT&utm_medium=Desc&utm_campaign=organicchemistry Organic Chemistry on Khan Academy: Carbon can form covalent bonds with itself and other elements to create a mind-boggling array of structures. In organic chemistry, we will learn about the reactions chemists use to synthesize crazy carbon based structures, as well as the analytical methods to characterize them. We will also think about how those reactions are occurring on a molecular level with reaction mechanisms. Simply put, organic chemistry is like building with molecular Legos. Let's make some beautiful organic molecules! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Organic Chemistry channel: https://www.youtube.com/channel/UCNKPjijOc0WEJ7DIV_Vay3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Representing structures of organic molecules | Biology | Khan Academy thumb=https://i.ytimg.com/vi/pMoA65Dj-zk/default.jpg URL=http://www.youtube.com/watch?v=pMoA65Dj-zk description=Representing Structures of Organic Molecules Watch the next lesson: https://www.khanacademy.org/science/biology/properties-of-carbon/hydrocarbon-structures-and-functional-groups/v/hydrocarbon-overview?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/properties-of-carbon/carbon/v/silicon-based-life?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010 thumb=https://i.ytimg.com/vi/6A07Pj71TUA/default.jpg URL=http://www.youtube.com/watch?v=6A07Pj71TUA description=Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010/description type=video name=Area of diagonal generated triangles of rectangle are equal | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/YTRimTJ5nX4/default.jpg URL=http://www.youtube.com/watch?v=YTRimTJ5nX4 description=Area of Diagonal Generated Triangles of Rectangle are Equal Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/area-of-an-equilateral-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/perimeter_area_tutorial/v/interesting-perimeter-and-area-problems?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Function inverse example 1 | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/wSiamij_i_k/default.jpg URL=http://www.youtube.com/watch?v=wSiamij_i_k description=Function Inverse Example 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/e/inverses_of_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/function-inverses-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/introduction-to-function-inverses?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Function inverses example 3 | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Bq9cq9FZuNM/default.jpg URL=http://www.youtube.com/watch?v=Bq9cq9FZuNM description=Function Inverses Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/e/inverses_of_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/understanding-inverse-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/function-inverses-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Function inverses example 2 | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/aeyFb2eVH1c/default.jpg URL=http://www.youtube.com/watch?v=aeyFb2eVH1c description=Function Inverses Example 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/e/inverses_of_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/function-inverses-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/function-inverse-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to function inverses | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/W84lObmOp8M/default.jpg URL=http://www.youtube.com/watch?v=W84lObmOp8M description=Introduction to Function Inverses Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/e/inverses_of_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/v/function-inverse-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/modeling-with-composite-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bill Gates talks about the Khan Academy: Excerpt from talk at Aspen Ideas Festival thumb=https://i.ytimg.com/vi/B5L8Eq1Yk1U/default.jpg URL=http://www.youtube.com/watch?v=B5L8Eq1Yk1U description=Bill Gates talks about the Khan Academy: Excerpt from talk at Aspen Ideas Festival/description type=video name=Correction to sodium-potassium pump video | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/ye3rTjLCvAU/default.jpg URL=http://www.youtube.com/watch?v=ye3rTjLCvAU description=Correction to "Sodium-potassium pump" video. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/electrotonic-action-potential?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/sodium-potassium-pump?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan Interview with Mixergy.com thumb=https://i.ytimg.com/vi/YQtXHp5wXLE/default.jpg URL=http://www.youtube.com/watch?v=YQtXHp5wXLE description=Salman Khan Interview with Mixergy.com/description type=video name=Example: Combinatorics and probability | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/ccrYD6iX_SY/default.jpg URL=http://www.youtube.com/watch?v=ccrYD6iX_SY description=Probability of getting a set of cards Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/permutations-and-combinations-4?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/probability-of-dependent-events?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Lottery probability | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/DIjlllgq3dc/default.jpg URL=http://www.youtube.com/watch?v=DIjlllgq3dc description=What is the probability of winning a 4-number lottery? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/mega-millions-jackpot-probability?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/probability-of-dependent-events-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Different ways to pick officers | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/l9ft9jpriNA/default.jpg URL=http://www.youtube.com/watch?v=l9ft9jpriNA description=Thinking about the different ways we can pick officers in order to find the probability of one situation in particular. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/probability-of-dependent-events-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/exactly-three-heads-in-five-flips?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: 9 card hands | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/SbpoyXTpC84/default.jpg URL=http://www.youtube.com/watch?v=SbpoyXTpC84 description=Thinking about how many ways we can construct a hand of 9 cards Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/combinations/e/combinations_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/events-and-outcomes-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combinations/v/handshaking-combinations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Ways to arrange colors | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/oQpKtm5TtxU/default.jpg URL=http://www.youtube.com/watch?v=oQpKtm5TtxU description=Thinking about how many ways you can pick four colors from a group of 6 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/combinatorics_precalc/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/combinatorics_precalc/v/permutations-and-combinations-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combinatorics_precalc/v/zero-factorial-or-0?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Ways to pick officers | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/v9NLtiVt3XY/default.jpg URL=http://www.youtube.com/watch?v=v9NLtiVt3XY description=How many ways can we pick officers for our organization? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/combinatorics_precalc/e/permutations_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/combinations/v/introduction-to-combinations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combinatorics_precalc/v/permutations-and-combinations-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Die rolling probability with independent events | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/2MYA8Ba2PvM/default.jpg URL=http://www.youtube.com/watch?v=2MYA8Ba2PvM description=We hope you're not a gambler, but if you had to bet on whether you can roll even numbers three times in a row, you might want to figure this probability first. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/dependent_events_precalc/v/introduction-to-dependent-probability?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/independent-events-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Test taking probability and independent events | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/VWAfEbgf1Po/default.jpg URL=http://www.youtube.com/watch?v=VWAfEbgf1Po description=Have you ever taken a test and discovered you have no choice but to guess on a couple of problems? In this example problem, we are considering the probability of two independent events occurring. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/e/independent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/independent-events-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/independent_events_precalc/v/frequency-probability-and-unfair-coins?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Independent or dependent probability event? | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/Za7G_eWKiF4/default.jpg URL=http://www.youtube.com/watch?v=Za7G_eWKiF4 description=This time around we're not going to tell you whether we're working on a dependent or independent probability event problem. You tell us! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/dependent_events_precalc/e/dependent_probability?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/dependent_events_precalc/v/dependent-probability-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/dependent_events_precalc/v/dependent-probability-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Probability through counting outcomes | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/3_otNr9kRuY/default.jpg URL=http://www.youtube.com/watch?v=3_otNr9kRuY description=The probability of getting exactly 2 heads when flipping three coins. Thinking about this by visualy depicting all of the outcomes. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/prob_combinatorics_precalc/v/coin-flipping-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/combinations/v/permutations-and-combinations-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Events and Outcomes 2 thumb=https://i.ytimg.com/vi/vB4FuGmfEGY/default.jpg URL=http://www.youtube.com/watch?v=vB4FuGmfEGY description=U12_L2_T1_we2 Events and Outcomes 2/description type=video name=Deductive reasoning 3 | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/lYLaaMObgkw/default.jpg URL=http://www.youtube.com/watch?v=lYLaaMObgkw description=Deductive Reasoning 3 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/u12-l1-t3-we1-inductive-reasoning-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding probability example 3 | Probability and combinatorics | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/cdRLBOnLTDk/default.jpg URL=http://www.youtube.com/watch?v=cdRLBOnLTDk description=Now we're working out the probability of randomly selecting a yellow marble from a bag of multi-colored marbles. Let's practice together. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/prob_comb/basic_prob_precalc/e/probability_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/prob_comb/addition_rule_prob_precalc/v/probability-with-playing-cards-and-venn-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/prob_comb/basic_prob_precalc/v/probability-1-module-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deductive reasoning 2 | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/VMEV__2wW3E/default.jpg URL=http://www.youtube.com/watch?v=VMEV__2wW3E description=Deductive Reasoning 2 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Difference between inductive and deductive reasoning | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/GEId0GonOZM/default.jpg URL=http://www.youtube.com/watch?v=GEId0GonOZM description=Deductive Reasoning 1 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/advanced-sequences-series/v/series-sum-example?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inductive reasoning 3 | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/pgfWkaySFGY/default.jpg URL=http://www.youtube.com/watch?v=pgfWkaySFGY description=Inductive Reasoning 3 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/u03-l1-t1-we2-inductive-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/inductive-reasoning-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inductive reasoning 2 | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/ZSsBh4Ybbj8/default.jpg URL=http://www.youtube.com/watch?v=ZSsBh4Ybbj8 description=Inductive Reasoning 2 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/inductive-reasoning-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/u12-l1-t3-we1-inductive-reasoning-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inductive reasoning 1 | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/MnQ7Lizkpqk/default.jpg URL=http://www.youtube.com/watch?v=MnQ7Lizkpqk description=Inductive Reasoning 1 Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/inductive-reasoning-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/deductive-and-inductive-reasoning/v/deductive-reasoning-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Understanding Logical Statements Commentary thumb=https://i.ytimg.com/vi/okNqf2NGnpk/default.jpg URL=http://www.youtube.com/watch?v=okNqf2NGnpk description=Understanding Logical Statements Commentary/description type=video name=Understanding Logical Statements 4 thumb=https://i.ytimg.com/vi/mLCD0ez-yO0/default.jpg URL=http://www.youtube.com/watch?v=mLCD0ez-yO0 description=U12_L1_T2_we4 Understanding Logical Statements 4/description type=video name=Understanding Logical Statements 3 thumb=https://i.ytimg.com/vi/fs7fz3MLpC8/default.jpg URL=http://www.youtube.com/watch?v=fs7fz3MLpC8 description=U12_L1_T2_we3 Understanding Logical Statements 3/description type=video name=Understanding Logical Statements 2 thumb=https://i.ytimg.com/vi/0Sx5aJoAkW8/default.jpg URL=http://www.youtube.com/watch?v=0Sx5aJoAkW8 description=U12_L1_T2_we2 Understanding Logical Statements 2/description type=video name=Understanding Logical Statements 1 thumb=https://i.ytimg.com/vi/I6hz8mhaRB0/default.jpg URL=http://www.youtube.com/watch?v=I6hz8mhaRB0 description=U12_L1_T2_we1 Understanding Logical Statements 1/description type=video name=Number sets 2 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qfQv8GzyjB4/default.jpg URL=http://www.youtube.com/watch?v=qfQv8GzyjB4 description=Number Sets 2 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number sets 3 | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/psyWUUkI-aw/default.jpg URL=http://www.youtube.com/watch?v=psyWUUkI-aw description=Number Sets 3 Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/introduction-to-ratios-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Number Sets 1 thumb=https://i.ytimg.com/vi/u0ygl-QU6Qw/default.jpg URL=http://www.youtube.com/watch?v=u0ygl-QU6Qw description=U12_L1_T1_we1 Number Sets 1/description type=video name=Applying Rational Equations 1 Extra Commentary thumb=https://i.ytimg.com/vi/o40Eeq3fEHs/default.jpg URL=http://www.youtube.com/watch?v=o40Eeq3fEHs description=U11_L2_T2_we1 Applying Rational Equations 1 extra commentary/description type=video name=Applying rational equations 3 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/B0Z4s38YIgQ/default.jpg URL=http://www.youtube.com/watch?v=B0Z4s38YIgQ description=Applying Rational Equations 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-simplifying-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/applying-rational-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying rational equations 2 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/E1j8W64NQ0Y/default.jpg URL=http://www.youtube.com/watch?v=E1j8W64NQ0Y description=Applying Rational Equations 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/applying-rational-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/applying-rational-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying Rational Equations 1 thumb=https://i.ytimg.com/vi/zJcrMpm5Sug/default.jpg URL=http://www.youtube.com/watch?v=zJcrMpm5Sug description=U11_L2_T2_we1 Applying Rational Equations 1/description type=video name=Solving rational equations 3 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/5wUJLMWZ5Fw/default.jpg URL=http://www.youtube.com/watch?v=5wUJLMWZ5Fw description=Solving Rational Equations 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/subtracting-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/solving-rational-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving rational equations 2 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/RdYA8ZpqdJE/default.jpg URL=http://www.youtube.com/watch?v=RdYA8ZpqdJE description=Solving Rational Equations 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/solving-rational-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/solving-rational-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving rational equations 1 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Yaeze9u6Cv8/default.jpg URL=http://www.youtube.com/watch?v=Yaeze9u6Cv8 description=Solving Rational Equations 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/solving-rational-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/rational-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and subtracting rational expressions 3 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/IKsi-DQU2zo/default.jpg URL=http://www.youtube.com/watch?v=IKsi-DQU2zo description=Adding and Subtracting Rational Expressions 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/rational-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and Subtracting Rational Expressions 1 thumb=https://i.ytimg.com/vi/-YDIJw_9CWQ/default.jpg URL=http://www.youtube.com/watch?v=-YDIJw_9CWQ description=U11_L1_T3_we1 Adding and Subtracting Rational Expressions 1/description type=video name=Adding and subtracting rational expressions 2 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/3tmFTHOP6Pc/default.jpg URL=http://www.youtube.com/watch?v=3tmFTHOP6Pc description=Adding and Subtracting Rational Expressions 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing rational expressions 3 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/gcnk8TnzsLc/default.jpg URL=http://www.youtube.com/watch?v=gcnk8TnzsLc description=Multiplying and Dividing Rational Expressions 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/extraneous-solutions-to-rational-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-dividing-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing rational expressions 2 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/f-wz_ZzSDdg/default.jpg URL=http://www.youtube.com/watch?v=f-wz_ZzSDdg description=Multiplying and Dividing Rational Expressions 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-dividing-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-dividing-rational-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing rational expressions 1 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/3GL69IA2q4s/default.jpg URL=http://www.youtube.com/watch?v=3GL69IA2q4s description=Multiplying and Dividing Rational Expressions 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-dividing-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/multiplying-and-simplifying-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rational expressions 3 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ey_b3aPsRl8/default.jpg URL=http://www.youtube.com/watch?v=ey_b3aPsRl8 description=Simplifying Rational Expressions 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/adding-and-subtracting-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying rational expressions 2 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/dstNU7It-Ro/default.jpg URL=http://www.youtube.com/watch?v=dstNU7It-Ro description=Simplifying Rational Expressions 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying Rational Expressions 1 (old) thumb=https://i.ytimg.com/vi/AWfP8d0rnic/default.jpg URL=http://www.youtube.com/watch?v=AWfP8d0rnic description=U11_L1_T1_we1 Simplifying Rational Expressions 1/description type=video name=Non-linear systems of equations 2 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/XPf8LMu7QSw/default.jpg URL=http://www.youtube.com/watch?v=XPf8LMu7QSw description=Non-Linear Systems of Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/systems-of-nonlinear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/non-linear-systems-of-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/non-linear-systems-of-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Non-linear systems of equations 3 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/FksgVpM_iXs/default.jpg URL=http://www.youtube.com/watch?v=FksgVpM_iXs description=Non-Linear Systems of Equations 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/systems-of-nonlinear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/systems-of-nonlinear-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/non-linear-systems-of-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying Quadratic Functions 1 thumb=https://i.ytimg.com/vi/Zoa485PqK_M/default.jpg URL=http://www.youtube.com/watch?v=Zoa485PqK_M description=U10_L2_T1_we1 Applying Quadratic Functions 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Applying Quadratic Functions 2 thumb=https://i.ytimg.com/vi/HtN86WyZ6zY/default.jpg URL=http://www.youtube.com/watch?v=HtN86WyZ6zY description=U10_L2_T1_we2 Applying Quadratic Functions 2 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Non-linear systems of equations 1 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/hjigR_rHKDI/default.jpg URL=http://www.youtube.com/watch?v=hjigR_rHKDI description=Non-Linear Systems of Equations 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/e/systems-of-nonlinear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/non-linear-systems-of-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/non-linear-systems-tutorial/v/estimating-a-solution-to-nonlinear-system-with-calculator-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying Quadratic Functions 3 thumb=https://i.ytimg.com/vi/AgvWWDzXCUo/default.jpg URL=http://www.youtube.com/watch?v=AgvWWDzXCUo description=U10_L2_T1_we3 Applying Quadratic Functions 3/description type=video name=Example 3: Using the quadratic formula | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XUvKjC21fYU/default.jpg URL=http://www.youtube.com/watch?v=XUvKjC21fYU description=Quadratic Formula 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/application-problem-with-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/quadratic-formula-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Using the quadratic formula | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/iulx0z1lz8M/default.jpg URL=http://www.youtube.com/watch?v=iulx0z1lz8M description=Quadratic Formula 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/quadratic-formula-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/proof-of-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Using the quadratic formula | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/CLrImGKeuEI/default.jpg URL=http://www.youtube.com/watch?v=CLrImGKeuEI description=Quadratic Formula 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/quadratic-formula-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/quadratic-formula-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Completing the square for quadratic formula | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/95tChNVzodY/default.jpg URL=http://www.youtube.com/watch?v=95tChNVzodY description=Completing the Square 4 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/using-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/completing-the-square-to-solve-quadratic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Completing the square for vertex form | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/02h9yhc7ruc/default.jpg URL=http://www.youtube.com/watch?v=02h9yhc7ruc description=Completing the Square 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/exercise/rewriting-expressions-to-reveal-information?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/features-of-quadratic-functions/v/rewriting-a-quadratic-function-to-find-roots-and-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic-formula/v/applying-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parabola vertex and axis of symmetry | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/dfoXtodyiIA/default.jpg URL=http://www.youtube.com/watch?v=dfoXtodyiIA description=Parabola vertex and axis of symmetry Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/vertex_of_a_parabola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/quadratic-functions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphing-a-quadratic-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Completing the square | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/6agzj3A9IgA/default.jpg URL=http://www.youtube.com/watch?v=6agzj3A9IgA description=Completing the Square 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/completing-the-square-to-solve-quadratic-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/ex1-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 1: Completing the square | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/VvuuRpJbbHE/default.jpg URL=http://www.youtube.com/watch?v=VvuuRpJbbHE description=Completing the Square 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/e/completing_the_square_in_quadratic_expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/ex2-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/solving-quadratic-equations-by-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing a parabola by finding the roots and vertex | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/TgKBc3Igx1I/default.jpg URL=http://www.youtube.com/watch?v=TgKBc3Igx1I description=Graphing a parabola by finding the roots and vertex Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/e/vertex_of_a_parabola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/finding-the-vertex-of-a-parabola-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/quadratic-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadratic Functions 1 thumb=https://i.ytimg.com/vi/CuPgmA7ytWA/default.jpg URL=http://www.youtube.com/watch?v=CuPgmA7ytWA description=U10_L1_T1_we1 Quadratic Functions 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Dimensions from volume of box | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/vl9o9XEfXtw/default.jpg URL=http://www.youtube.com/watch?v=vl9o9XEfXtw description=Solving Quadratic Equations by Factoring 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/quadratics/factoring-quadratics/e/solving_quadratics_by_factoring_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/completing_the_square/v/solving-quadratic-equations-by-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/factoring-quadratics/v/example-4-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving a quadratic equation by factoring | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/2ZzuZvz33X0/default.jpg URL=http://www.youtube.com/watch?v=2ZzuZvz33X0 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/solving_quadratics_by_factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/example-2-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognizing a perfect square quadratic | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/04RpkdaNzr8/default.jpg URL=http://www.youtube.com/watch?v=04RpkdaNzr8 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/solving_quadratics_by_factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-trinomials-with-a-common-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/example-1-solving-a-quadratic-equation-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 6: Factoring a difference of squares with two variables | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/YahJQvY396o/default.jpg URL=http://www.youtube.com/watch?v=YahJQvY396o description=Factor 49x^2-49y^2 as (7x+7y)(7x-7y) or as 49(x+y)(x-y). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_difference_of_squares_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-to-produce-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 5: Factoring a fourth degree polynomial using the "perfect square” form | Khan Academy thumb=https://i.ytimg.com/vi/o-ZbdYVGehI/default.jpg URL=http://www.youtube.com/watch?v=o-ZbdYVGehI description=Factor 25x^4-30x^2+9 as (5x^2-3)^2. Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/factoring-5th-degree-polynomial-to-find-real-zeros?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/difference-of-cubes-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Factoring quadratics as a perfect square of a sum: (a+b)^2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/XuwldEyWjH0/default.jpg URL=http://www.youtube.com/watch?v=XuwldEyWjH0 description=Factor -4t^2-12t-9 as -1(2t+3)(2t+3), or -(2t+3)^2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/e/factoring-perfect-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/v/factoring-perfect-square-trinomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-3-special-product-forms/v/factoring-to-produce-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 4: Factoring quadratics by taking a negative common factor and grouping | Khan Academy thumb=https://i.ytimg.com/vi/d-2Lcp0QKfI/default.jpg URL=http://www.youtube.com/watch?v=d-2Lcp0QKfI description=Factor -12f^2-38f+22 as -2(2f-1)(3f+11). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_polynomials_by_grouping_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/solving-quadratic-equations-by-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-trinomials-by-grouping-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Factoring quadratics by taking a common factor and grouping | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/R-rhSQzFJL0/default.jpg URL=http://www.youtube.com/watch?v=R-rhSQzFJL0 description=Factor 35k^2+100k-15 as 5(k+3)(7k-1) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_polynomials_by_grouping_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-trinomials-by-grouping-6?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-to-produce-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U09_L1_T2_we3 Factoring Trinomials by Grouping 3 thumb=https://i.ytimg.com/vi/fVIZmOQBS5M/default.jpg URL=http://www.youtube.com/watch?v=fVIZmOQBS5M description=U09_L1_T2_we3 Factoring Trinomials by Grouping 3 More free lessons at: http://www.khanacademy.org/video?v=fVIZmOQBS5M/description type=video name=Example 2: Factoring quadratics by grouping | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/u1SAo2GiX8A/default.jpg URL=http://www.youtube.com/watch?v=u1SAo2GiX8A description=Factor 4y^2+4y-15 as (2y-3)(2y+5) by grouping. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/e/factoring_polynomials_by_grouping_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factor-by-grouping-and-factoring-completely?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-trinomials-with-a-leading-1-coefficient?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring Trinomials by Grouping 2 thumb=https://i.ytimg.com/vi/QQhkEGp-YQQ/default.jpg URL=http://www.youtube.com/watch?v=QQhkEGp-YQQ description=U09_L1_T2_we2 Factoring Trinomials by Grouping 2 More free lessons at: http://www.khanacademy.org/video?v=QQhkEGp-YQQ Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Example 7: Factor a polynomial with two variables by grouping | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/HXIj16mjfgk/default.jpg URL=http://www.youtube.com/watch?v=HXIj16mjfgk description=U09_L1_T2_we1 Factoring Trinomials by Grouping 1 More free lessons at: http://www.khanacademy.org/video?v=HXIj16mjfgk Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Example 4: Factor a polynomial with two variables by taking a common factor | Khan Academy thumb=https://i.ytimg.com/vi/MZl6Mna0leQ/default.jpg URL=http://www.youtube.com/watch?v=MZl6Mna0leQ description=Factor 4x^4y-8x^3y-2x^2 as 2x^2(2x^2y-4xy). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/e/factoring-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/v/factor-polynomials-using-the-gcf?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Factor a quadratic binomial with two variables by taking a common factor | Khan Academy thumb=https://i.ytimg.com/vi/499MvHFrqUU/default.jpg URL=http://www.youtube.com/watch?v=499MvHFrqUU description=Factor 20u^2v - 10uv^2 as 10uv(2u-v). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/e/factoring-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/v/factor-polynomials-using-the-gcf?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-1-common-factors/v/factoring-linear-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring and the Distributive Property thumb=https://i.ytimg.com/vi/auQU-9KNG74/default.jpg URL=http://www.youtube.com/watch?v=auQU-9KNG74 description=U09_L1_T1_we1 Factoring and the Distributive Property More free lessons at: http://www.khanacademy.org/video?v=auQU-9KNG74 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Bay Area CBS Station with Salman Khan thumb=https://i.ytimg.com/vi/PhHWmehThg8/default.jpg URL=http://www.youtube.com/watch?v=PhHWmehThg8 description=Bay Area CBS Station with Salman Khan Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Brian Lehrer Interview with Salman Khan thumb=https://i.ytimg.com/vi/72wRgtH6eJ0/default.jpg URL=http://www.youtube.com/watch?v=72wRgtH6eJ0 description=Brian Lehrer Interview with Salman Khan/description type=video name=Multiplying Polynomials 1 thumb=https://i.ytimg.com/vi/gg6vUnElXqo/default.jpg URL=http://www.youtube.com/watch?v=gg6vUnElXqo description=U08_L2_T3_we1 Multiplying Polynomials 1/description type=video name=Applying radical equations 3 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/npUtXLjTnxg/default.jpg URL=http://www.youtube.com/watch?v=npUtXLjTnxg description=Applying Radical Equations 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/irrational-numbers/v/introduction-to-rational-and-irrational-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractional exponent expressions 1 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xjCnmPvcmOo/default.jpg URL=http://www.youtube.com/watch?v=xjCnmPvcmOo description=Fractional Exponent Expressions 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponent-expressions-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponents-with-numerators-other-than-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Modeling with polynomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/J1HAY8E3gms/default.jpg URL=http://www.youtube.com/watch?v=J1HAY8E3gms description=Write a polynomial expression that represents the total area of a window made of wood and glass. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/simply-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and subtracting polynomials | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/ZGl2ExHwdak/default.jpg URL=http://www.youtube.com/watch?v=ZGl2ExHwdak description=Add (5x^2+8x-3) + (2x^2 - 7x + 13x). Created by Sal Khan and Monterey Institute for Technology and Education. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/v/adding-and-subtracting-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/polynomial-basics-core-algebra/v/simply-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 4: Adding and subtracting polynomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/DMyhUb1pZT0/default.jpg URL=http://www.youtube.com/watch?v=DMyhUb1pZT0 description=Simplify (x^3 + 3x - 6) + (-2x^2 + x - 2) - (3x - 4) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/example-adding-polynomials-with-multiple-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/subtracting-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Multiplying a binomial by a polynomial word problem | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/bamcYQDzVTw/default.jpg URL=http://www.youtube.com/watch?v=bamcYQDzVTw description=Find the volume of a tank whose base has an area of 3x^2 + 30x + 5 square feet and whose height is 8x - 5 feet. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/multiplying_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/factoring-and-completing-square-of-higher-degree-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/multiplying-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U08_L2_T4_we3 Special Products of Polynomials 3 thumb=https://i.ytimg.com/vi/jYfWFy0yxB4/default.jpg URL=http://www.youtube.com/watch?v=jYfWFy0yxB4 description=U08_L2_T4_we3 Special Products of Polynomials 3/description type=video name=Squaring a binomial | Quadratics and polynomials | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/4GcNzvILqtM/default.jpg URL=http://www.youtube.com/watch?v=4GcNzvILqtM description=Squaring a binomial. Created by Sal Khan and Monterey Institute for Technology and Education. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/multiplying-binomials-core-algebra/e/multiplying_expressions_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/factoring-quadratic-expressions-core-algebra/v/factoring-quadratic-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/multiplying-binomials-core-algebra/v/special-polynomials-products-1?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Special Products of Polynomials 2 thumb=https://i.ytimg.com/vi/ukcJ8I6fHnU/default.jpg URL=http://www.youtube.com/watch?v=ukcJ8I6fHnU description=U08_L2_T4_we2 Special Products of Polynomials 2/description type=video name=Example 2: Adding polynomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ahdKdxsTj8E/default.jpg URL=http://www.youtube.com/watch?v=ahdKdxsTj8E description=Simplify (5x^2 + 8x - 3) + (2x^2 - 7x + 13x) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/subtracting-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/adding-and-subtracting-polynomials/v/simply-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomials 1 thumb=https://i.ytimg.com/vi/sDhVqIyp_y8/default.jpg URL=http://www.youtube.com/watch?v=sDhVqIyp_y8 description=U08_L2_T1_we1 Polynomials 1/description type=video name=Example 2: Modeling with polynomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/IGs7IB48Fvg/default.jpg URL=http://www.youtube.com/watch?v=IGs7IB48Fvg description=Write a polynomial to express the total value of p twenty dollar bills, q ten dollar bills, and r five dollar bills. Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/multiplying-polynomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/introduction-to-polynomials/v/polynomials1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing monomials 2 | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Rtje3kbC9lM/default.jpg URL=http://www.youtube.com/watch?v=Rtje3kbC9lM description=Multiplying and Dividing Monomials 2 Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/multiplying-and-dividing-monomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/dividing-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Fractional exponent expressions 2 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/4F6cFLnAAFc/default.jpg URL=http://www.youtube.com/watch?v=4F6cFLnAAFc description=Fractional Exponent Expressions 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/e/exponents_4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponent-expressions-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/fractional-exponent-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing monomials 3 | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/abuhkDhowyc/default.jpg URL=http://www.youtube.com/watch?v=abuhkDhowyc description=Multiplying and Dividing Monomials 3 Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/multiplying-and-simplifying-rational-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/multiplying-and-dividing-monomials-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Multiplying two monomials with two variables | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/p_61XhXdlxI/default.jpg URL=http://www.youtube.com/watch?v=p_61XhXdlxI description=Express the area of a rectangle with length 4xy and width 2y as a monomial. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/e/finding-the-product-of-two-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-monomials-by-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-monomials/v/multiplying-monomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying radical equations 2 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/YghRP8S2K-4/default.jpg URL=http://www.youtube.com/watch?v=YghRP8S2K-4 description=Applying Radical Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Applying radical equations 1 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/U3JxFFdKCKM/default.jpg URL=http://www.youtube.com/watch?v=U3JxFFdKCKM description=Applying Radical Equations 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving radical equations 3 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/g6nGcnVB8BM/default.jpg URL=http://www.youtube.com/watch?v=g6nGcnVB8BM description=Solving Radical Equations 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/applying-radical-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving radical equations 2 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/b6WtwQddAcY/default.jpg URL=http://www.youtube.com/watch?v=b6WtwQddAcY description=Solving Radical Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving radical equations 1 | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/y4C81qAa3pY/default.jpg URL=http://www.youtube.com/watch?v=y4C81qAa3pY description=Solving Radical Equations 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/extraneous-solutions-to-radical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying Radical Expressions 3 thumb=https://i.ytimg.com/vi/s9i2aVKyxTY/default.jpg URL=http://www.youtube.com/watch?v=s9i2aVKyxTY description=U07_L3_T1_we3 Simplifying Radical Expressions 3 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Simplifying Radical Expressions 2 thumb=https://i.ytimg.com/vi/F5iMsjwFLX8/default.jpg URL=http://www.youtube.com/watch?v=F5iMsjwFLX8 description=U07_L3_T1_we2 Simplifying Radical Expressions 2 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Simplifying Radical Expressions 1 thumb=https://i.ytimg.com/vi/_Ao9_4chEX8/default.jpg URL=http://www.youtube.com/watch?v=_Ao9_4chEX8 description=U07_L3_T1_we1 Simplifying Radical Expressions 1/description type=video name=Pythagorean theorem 3 | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/T0IOrRETWhI/default.jpg URL=http://www.youtube.com/watch?v=T0IOrRETWhI description=Pythagorean Theorem 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/e/pythagorean_theorem_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pythagorean_proofs/v/garfield-s-proof-of-the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean theorem 2 | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/O64YFlX1_aI/default.jpg URL=http://www.youtube.com/watch?v=O64YFlX1_aI description=Pythagorean Theorem 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/e/pythagorean_theorem_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean theorem 1 | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/JVrkLIcA2qw/default.jpg URL=http://www.youtube.com/watch?v=JVrkLIcA2qw description=Pythagorean Theorem 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/e/pythagorean_theorem_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying expressions with exponents 3 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/zwUnRQbWPJU/default.jpg URL=http://www.youtube.com/watch?v=zwUnRQbWPJU description=Simplifying Expressions with Exponents 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/fractional-exponents-tut/v/basic-fractional-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/simplifying-expressions-with-exponents-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying expressions with exponents 2 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xnLcxdM8OD8/default.jpg URL=http://www.youtube.com/watch?v=xnLcxdM8OD8 description=Simplifying Expressions with Exponents 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/simplifying-expressions-with-exponents-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/simplifying-expressions-with-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying expressions with exponents | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tdO4UOLW9d8/default.jpg URL=http://www.youtube.com/watch?v=tdO4UOLW9d8 description=Simplifying Expressions with Exponents Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/e/simplifying_expressions_with_exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/simplifying-expressions-with-exponents-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/exponent-properties-algebra/v/more-rational-exponents-and-exponent-laws?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=U.S. national debt (scientific notation word problem) | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XJBwJjP2_hM/default.jpg URL=http://www.youtube.com/watch?v=XJBwJjP2_hM description=Ever wonder what your part of the national debt is? It might surprise you. What isn't surprising is that you can use scientific notation and division to figure out the answer. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/e/multiplying_and_dividing_scientific_notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/multiplying-and-dividing-in-scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/computing-scientific-notation/v/scientific-notation-3-new?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scientific notation 2 thumb=https://i.ytimg.com/vi/vDfd0bj3mo0/default.jpg URL=http://www.youtube.com/watch?v=vDfd0bj3mo0 description=U07_L1_T2_we2 Scientific notation 2/description type=video name=Scientific notation 1 thumb=https://i.ytimg.com/vi/kSx873lOgIc/default.jpg URL=http://www.youtube.com/watch?v=kSx873lOgIc description=U07_L1_T2_we1 Scientific notation 1/description type=video name=Exponent Rules 3 thumb=https://i.ytimg.com/vi/AbmQNC-iE84/default.jpg URL=http://www.youtube.com/watch?v=AbmQNC-iE84 description=U07_L1_T1_we3 Exponent Rules 3/description type=video name=Exponent Rules 2 thumb=https://i.ytimg.com/vi/6ND4nKwyCEc/default.jpg URL=http://www.youtube.com/watch?v=6ND4nKwyCEc description=U07_L1_T1_we2 Exponent Rules 2/description type=video name=Exponent Rules 1 thumb=https://i.ytimg.com/vi/kSYJxGqOcjA/default.jpg URL=http://www.youtube.com/watch?v=kSYJxGqOcjA description=U07_L1_T1_we1 Exponent Rules 1/description type=video name=Graphing systems of inequalities 3 thumb=https://i.ytimg.com/vi/UUwmo5qaTuI/default.jpg URL=http://www.youtube.com/watch?v=UUwmo5qaTuI description=U06_L3_T1_we3 Graphing systems of inequalities 3/description type=video name=Graphing systems of inequalities and checking solutions example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/YjT3QYfoy4Q/default.jpg URL=http://www.youtube.com/watch?v=YjT3QYfoy4Q description=Learn how to graph systems of two-variable linear inequalities and check a solution using the graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/e/graphing_systems_of_inequalities_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/v/u06-l3-t1-we3-graphing-systems-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_inequalities_precalc/v/graphical-system-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing systems of inequalities thumb=https://i.ytimg.com/vi/TqsRlc02rtc/default.jpg URL=http://www.youtube.com/watch?v=TqsRlc02rtc description=U06_L3_T1_we1 Graphing systems of inequalities/description type=video name=Mixture problems 3 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/JVlfQEhzLMM/default.jpg URL=http://www.youtube.com/watch?v=JVlfQEhzLMM description=Mixture problems 3 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/order-of-operations-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/patterns-and-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mixture problems 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/OBVGQt1Eeug/default.jpg URL=http://www.youtube.com/watch?v=OBVGQt1Eeug description=Mixture problems 2 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/basic-rate-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/v/evaluating-expressions-with-unknown-variables-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mixture problems 1 thumb=https://i.ytimg.com/vi/5Dzdrb8MKBg/default.jpg URL=http://www.youtube.com/watch?v=5Dzdrb8MKBg description=U06_L2_T2_we1 Mixture problems 1 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Systems and rate problems 3 thumb=https://i.ytimg.com/vi/hTBQUibtnBk/default.jpg URL=http://www.youtube.com/watch?v=hTBQUibtnBk description=U06_L2_T1_we3 Systems and rate problems 3 More free lessons at: http://www.khanacademy.org/video?v=hTBQUibtnBk Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Systems and rate problems 2 thumb=https://i.ytimg.com/vi/H5w55UbIZTw/default.jpg URL=http://www.youtube.com/watch?v=H5w55UbIZTw description=U06_L2_T1_we2 Systems and rate problems 2 More free lessons at: http://www.khanacademy.org/video?v=H5w55UbIZTw Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Systems and rate problems thumb=https://i.ytimg.com/vi/at4T4n4JYNc/default.jpg URL=http://www.youtube.com/watch?v=at4T4n4JYNc description=U06_L2_T1_we1 Systems and rate problems More free lessons at: http://www.khanacademy.org/video?v=at4T4n4JYNc Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Example 3: Solving systems by elimination | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/Dqp6xOeR3Ls/default.jpg URL=http://www.youtube.com/watch?v=Dqp6xOeR3Ls description=Solving systems by elimination 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/simple-elimination-practice?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-4?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Solving systems by elimination | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/Y6JsEja15Vk/default.jpg URL=http://www.youtube.com/watch?v=Y6JsEja15Vk description=Solving systems by elimination 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/e/systems_of_equations_with_elimination_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/addition-elimination-method-1?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-elimination/v/solving-systems-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of equations word problems example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/z1hz8-Kri1E/default.jpg URL=http://www.youtube.com/watch?v=z1hz8-Kri1E description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/e/understanding-systems-of-equations-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems_of_linear_equations_word_problems/v/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/v/understanding-systems-of-equations-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Solving systems by substitution | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/0BgUKHTW37E/default.jpg URL=http://www.youtube.com/watch?v=0BgUKHTW37E description=Solving systems by substitution 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/e/systems_of_equations_with_substitution?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/the-substitution-method?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/solving-systems-by-substitution-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Solving systems by substitution | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/wB3QCk0MGuw/default.jpg URL=http://www.youtube.com/watch?v=wB3QCk0MGuw description=Solving systems by substitution 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/e/systems_of_equations_with_substitution?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/solving-systems-by-substitution-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/solving-systems-by-substitution-1?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing solutions to linear systems algebraically | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/HJV_HY0Sh0s/default.jpg URL=http://www.youtube.com/watch?v=HJV_HY0Sh0s description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/e/constructing-consistent-and-inconsistent-system?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/v/understanding-systems-of-equations-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/v/practice-thinking-about-number-of-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 3: Graphically solving systems | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/F5Nb6cIRZLU/default.jpg URL=http://www.youtube.com/watch?v=F5Nb6cIRZLU description=Solving systems by graphing 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/e/graphing_systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/solving-systems-graphically?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/solving-systems-by-graphing-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Analyzing solutions to linear systems graphically 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/BNHLzEv6Mjg/default.jpg URL=http://www.youtube.com/watch?v=BNHLzEv6Mjg description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/e/graphical-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/v/practice-thinking-about-number-of-solutions-to-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/systems-of-linear-equations/analyzing_the_solutions_to_systems_of_equations/v/independent-and-dependent-systems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving systems by graphing thumb=https://i.ytimg.com/vi/1CiBuN6qraY/default.jpg URL=http://www.youtube.com/watch?v=1CiBuN6qraY description=U06_L1_T1_we1 Solving systems by graphing/description type=video name=Graphing inequalities and checking solutions example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/YBYu5aZPLeg/default.jpg URL=http://www.youtube.com/watch?v=YBYu5aZPLeg description=Learn how to graph two-variable linear inequalities and check a solution using the graph. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/e/graphing_inequalities_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphical-system-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing linear inequalities in two variables 2 (old and redone in newer video) thumb=https://i.ytimg.com/vi/lxTQrsUip9g/default.jpg URL=http://www.youtube.com/watch?v=lxTQrsUip9g description=U05_L2_T1_we2 : Graphing linear inequalities in two variables/description type=video name=Solving and graphing linear inequalities in two variables 1 | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/EoCeL4SPIcA/default.jpg URL=http://www.youtube.com/watch?v=EoCeL4SPIcA description=Solving and graphing linear inequalities in two variables. Created by Sal Khan and Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/v/graphing-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing, solving two-step inequality example | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/pbLiN8D9gAk/default.jpg URL=http://www.youtube.com/watch?v=pbLiN8D9gAk description=Let's tackle this word problem together. We'll interpret the information and then construct a linear inequality to solve it. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/interpretting-solving-linear-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compound-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/writing-and-using-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing and solving a multi-step inequality example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/cCMpin3Te4s/default.jpg URL=http://www.youtube.com/watch?v=cCMpin3Te4s description=Learn how to solve an inequality word problem about cell phone texting plans. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/interpretting-solving-linear-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/writing-and-using-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/interpreting-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing and using inequalities | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/RHe9X2HDEjA/default.jpg URL=http://www.youtube.com/watch?v=RHe9X2HDEjA description=Writing and using inequalities Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/structure-expressions-linear/v/dogs-cats-and-bears-in-a-pet-store-visual-argument?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/absolute-value-inequalities-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value inequalities example 3 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/y9MGpOGQVqQ/default.jpg URL=http://www.youtube.com/watch?v=y9MGpOGQVqQ description=Absolute value inequalities 3 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/ex-2-multi-step-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute inequalities 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/x5EJG_rAtkY/default.jpg URL=http://www.youtube.com/watch?v=x5EJG_rAtkY description=Absolute Inequalities 2 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value inequalities example 1 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/TvUCe6Bomy4/default.jpg URL=http://www.youtube.com/watch?v=TvUCe6Bomy4 description=Absolute value inequalities, graph solution on number line Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing and solving a one-step inequality | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/FZ2APP6-grU/default.jpg URL=http://www.youtube.com/watch?v=FZ2APP6-grU description=Inequalities are more than abstract concepts and exercises. They help solve real life problems. Here's an example. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/one_step_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/one-step-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/one-step-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving a two-step inequality | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/y7QLay8wrW8/default.jpg URL=http://www.youtube.com/watch?v=y7QLay8wrW8 description=We're turning up the heat a little and asking you to help us solve a multi-step inequality problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/solving-2-step-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/inequalities-using-addition-and-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Constructing and solving a two-step inequality | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/wo7DSaPP8hQ/default.jpg URL=http://www.youtube.com/watch?v=wo7DSaPP8hQ description=We'll talk you through this fun and challenging inequality problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/interpretting-solving-linear-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/writing-and-using-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting linear equations to slope-intercept form | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/V6Xynlqc_tc/default.jpg URL=http://www.youtube.com/watch?v=V6Xynlqc_tc description=Converting to slope-intercept form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/e/slope-from-an-equation-in-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/similar-triangles-to-prove-that-the-slope-is-constant-for-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/graphing-a-line-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel lines from equation (example 3) | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/y5yNi08cr6I/default.jpg URL=http://www.youtube.com/watch?v=y5yNi08cr6I description=Sal determines which pairs out of a few given linear equations are parallel. Created by Sal Khan, Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/perpendicular-lines?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/parallel-lines-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interpreting linear tables word problems example 1 | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/jTCZfMMcHBo/default.jpg URL=http://www.youtube.com/watch?v=jTCZfMMcHBo description=Slope Example Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/e/interpreting-tables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/interpreting_linear_functions/v/interpreting-features-of-linear-functions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/functions-and-function-notation/v/understanding-function-notation-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equation of a line 2 thumb=https://i.ytimg.com/vi/-BuoPowT86M/default.jpg URL=http://www.youtube.com/watch?v=-BuoPowT86M description=U04_L1_T3_we2 : Equation of a line/description type=video name=Writing equations of perpendicular lines | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/TsEhZRT16LU/default.jpg URL=http://www.youtube.com/watch?v=TsEhZRT16LU description=Given line A and point P, Sal finds the equation of the line perpendicular to A that passes through P. Created by Sal Khan, Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/find-the-equation-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/perpendicular-lines?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Perpendicular lines from equation | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/0671cRNjeKI/default.jpg URL=http://www.youtube.com/watch?v=0671cRNjeKI description=Sal determines which pairs out of a few given linear equations are perpendicular. Created by Sal Khan, Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/perpendicular-lines-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/parallel-lines-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel lines from equation (example 2) | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/lOWXZFP8Vuc/default.jpg URL=http://www.youtube.com/watch?v=lOWXZFP8Vuc description=Sal determines which pairs out of a few given linear equations are parallel. Created by Sal Khan, Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/parallel-lines-3?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parallel lines from equation | Mathematics I | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/T-aCweuimis/default.jpg URL=http://www.youtube.com/watch?v=T-aCweuimis description=Sal determines which pairs out of a few given linear equations are parallel. Created by Sal Khan, Monterey Institute for Technology and Education. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-eq/v/parallel-lines-2?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-analytic-geometry/math1-parallel-perpendicular-lines/v/classify-lines?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Writing equations in all forms | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/-6Fu2T_RSGM/default.jpg URL=http://www.youtube.com/watch?v=-6Fu2T_RSGM description=Point-slope and standard form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/e/writing-the-equation-of-a-line-in-any-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/functions-and-function-notation/v/what-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/standard-form/v/converting-from-slope-intercept-to-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graph from slope-intercept equation example | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/uk7gS3cZVp4/default.jpg URL=http://www.youtube.com/watch?v=uk7gS3cZVp4 description=Graphing a line in slope intercept form Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/e/graph-from-slope-intercept-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/graphs-using-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=x- and y-intercepts 2 | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/405boztgZig/default.jpg URL=http://www.youtube.com/watch?v=405boztgZig description=X and Y intercepts 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-x-and-y-intercepts/e/solving_for_the_x-intercept?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/slope-intuition-example?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-x-and-y-intercepts/v/x-and-y-intercepts?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding intercepts from an equation | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xGmef7lFc5w/default.jpg URL=http://www.youtube.com/watch?v=xGmef7lFc5w description=X and Y intercepts Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/e/solving_for_the_x-intercept?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/introduction-to-slope?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/x-and-y-intercepts/v/finding-intercepts-for-a-linear-function-from-a-table?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the slope of a line from its graph | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/R948Tsyq4vA/default.jpg URL=http://www.youtube.com/watch?v=R948Tsyq4vA description=Slope of a line Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/e/slope-from-a-graph?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-intuition-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exploring nonlinear relationships thumb=https://i.ytimg.com/vi/D-0E9weT_t0/default.jpg URL=http://www.youtube.com/watch?v=D-0E9weT_t0 description=U03_L2_T5_we2 : Exploring nonlinear relationships/description type=video name=Recognizing linear functions | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/AZroE4fJqtQ/default.jpg URL=http://www.youtube.com/watch?v=AZroE4fJqtQ description=Recognizing Linear Functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/e/linear-non-linear-functions?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/linear-nonlinear-functions-tut/v/linear-and-nonlinear-functions-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-function-intro/v/functions-as-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling with linear equations example 1 | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/qPx7i1jwXX4/default.jpg URL=http://www.youtube.com/watch?v=qPx7i1jwXX4 description=Exploring linear relationships Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/e/interpreting-linear-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/v/comparing-features-of-functions-2?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/v/slope-example?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic Linear Function thumb=https://i.ytimg.com/vi/YB1XuQ1Pc5s/default.jpg URL=http://www.youtube.com/watch?v=YB1XuQ1Pc5s description=U03_L2_T4_we1 : Basic Linear Function Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education/description type=video name=Basic rate problem | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/7WXijfIZh64/default.jpg URL=http://www.youtube.com/watch?v=7WXijfIZh64 description=Basic Rate Problem Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/early-train-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/mixture-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Direct variation 1 | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/rSadG6EtJmY/default.jpg URL=http://www.youtube.com/watch?v=rSadG6EtJmY description=Direct Variation 1 Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/inverse-variation-application?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-variation-models?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain and range 2 | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/0lY4PcCYoyE/default.jpg URL=http://www.youtube.com/watch?v=0lY4PcCYoyE description=Domain and Range 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/range_of_a_function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-of-a-radical-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain of modeling functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/C6F33Ir-sY4/default.jpg URL=http://www.youtube.com/watch?v=C6F33Ir-sY4 description=Domain of modeling functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_of_a_function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-of-a-radical-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-of-a-function-given-a-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Testing if a relationship is a function | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/3SO1BQQ9_1E/default.jpg URL=http://www.youtube.com/watch?v=3SO1BQQ9_1E description=Testing if a relationship is a function Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/graphical-relations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Recognize functions from tables | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/5cK86VKoBPw/default.jpg URL=http://www.youtube.com/watch?v=5cK86VKoBPw description=Functional Relationships 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/e/recognizing_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding the 100th term in a sequence | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/JtsyP0tnVRY/default.jpg URL=http://www.youtube.com/watch?v=JtsyP0tnVRY description=WATCH AN UPDATED VERSION OF THIS VIDEO AT https://youtu.be/C5titprQAc4 Finding the 100th Term in a Sequence Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/e/arithmetic_sequences_2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/equations-of-sequence-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/arithmetic-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equations of sequence patterns | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/_3BnyEr5fG4/default.jpg URL=http://www.youtube.com/watch?v=_3BnyEr5fG4 description=Equations of Sequence Patterns Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/e/arithmetic_sequences_2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/series-as-sum-of-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/finding-the-100th-term-in-a-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Patterns in sequences 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/zIcxrhyJs6M/default.jpg URL=http://www.youtube.com/watch?v=zIcxrhyJs6M description=Patterns in Sequences 2 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/equations-of-sequence-patterns?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/patterns-in-sequences-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Patterns in sequences 1 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Zj-a_9cd5jc/default.jpg URL=http://www.youtube.com/watch?v=Zj-a_9cd5jc description=Patterns in Sequences 1 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/patterns-in-sequences-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/early-train-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value equations 1 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/GwjiR2_7A7Y/default.jpg URL=http://www.youtube.com/watch?v=GwjiR2_7A7Y description=Absolute Value Equations 1 Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/u02-l2-t2-we1-absolute-value-equations-avi?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value smallest to biggest | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/NvGTCzAfvr0/default.jpg URL=http://www.youtube.com/watch?v=NvGTCzAfvr0 description=Not only will we identify several absolute values in this example, but we will order them from smallest to largest. Content provided by The NROC Project - ©Monterey Institute for Technology and Education Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/e/absolute_value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-of-integers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-and-number-lines?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving for F in terms of C | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/BR5yFOt0zao/default.jpg URL=http://www.youtube.com/watch?v=BR5yFOt0zao description=Solving for a Variable 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/e/solving_for_a_variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/example-of-solving-for-a-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/solving-for-a-variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: two-step equation with numerator x | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/p5e5mf_G3FI/default.jpg URL=http://www.youtube.com/watch?v=p5e5mf_G3FI description=Solve the equation by isolating the term with numerator x. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/linear-equation-word-problems-tu/v/linear-equation-word-problem-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/two-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example 2: Variables on both sides | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/1c5HY3z4k8M/default.jpg URL=http://www.youtube.com/watch?v=1c5HY3z4k8M description=Solving Equations 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/e/linear_equations_3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/steps-when-solving-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/basic-equation-practice/v/multi-step-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving equations with the distributive property | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/YZBStgZGyDY/default.jpg URL=http://www.youtube.com/watch?v=YZBStgZGyDY description=Solving Equations with the Distributive Property Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/multistep_equations_with_distribution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solving-equations-with-the-distributive-property-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/ex-2-multi-step-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear systems word problem with substitution | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/cNlwi6lUCEM/default.jpg URL=http://www.youtube.com/watch?v=cNlwi6lUCEM description=Algebraic Word Problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems/e/systems_of_equations_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems/v/understanding-systems-of-equations-example?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-word-problems/v/using-a-system-of-equations-to-find-the-price-of-apples-and-oranges?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A clever application of the distributive property to solve a multi-step equation | Khan Academy thumb=https://i.ytimg.com/vi/PL9UYj2awDc/default.jpg URL=http://www.youtube.com/watch?v=PL9UYj2awDc description=Sal solves the equation (3/4)x + 2 = (3/8)x - 4 using the distributive property Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/multistep_equations_with_distribution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/solving-equations-with-the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Challenge example: Sum of integers | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/d8De3xcVmnw/default.jpg URL=http://www.youtube.com/watch?v=d8De3xcVmnw description=Sum of Consecutive Odd Integers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/e/integer_sums?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/2003-aime-ii-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/sum-consecutive-integers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of the Khan Academy Library thumb=https://i.ytimg.com/vi/dsFQ9kM1qDs/default.jpg URL=http://www.youtube.com/watch?v=dsFQ9kM1qDs description=Overview of the Khan Academy Library/description type=video name=Navigating the Khan Academy Video Library thumb=https://i.ytimg.com/vi/zlJ20s5d9To/default.jpg URL=http://www.youtube.com/watch?v=zlJ20s5d9To description=Navigating the Khan Academy Video Library/description type=video name=L'Hôpital's rule example 3 | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/MeVFZjT-ABM/default.jpg URL=http://www.youtube.com/watch?v=MeVFZjT-ABM description=L'Hôpital's Rule Example 3 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/e/lhopitals_rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/lhopitals-rule-to-solve-for-variable?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=L'Hôpital's rule example 2 | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/FJo18AwLfuI/default.jpg URL=http://www.youtube.com/watch?v=FJo18AwLfuI description=L'Hôpital's Rule Example 2 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/e/lhopitals_rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=L'Hôpital's rule example 1 | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/BiVOC3WocXs/default.jpg URL=http://www.youtube.com/watch?v=BiVOC3WocXs description=L'Hôpital's Rule Example 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/e/lhopitals_rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/introduction-to-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to l'Hôpital's rule | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/PdSzruR5OeE/default.jpg URL=http://www.youtube.com/watch?v=PdSzruR5OeE description=Introduction to L'Hôpital's Rule Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/lhopitals_rule?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/l-hopital-s-rule-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/mean_value_theorem/v/mean-value-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mach numbers | Mechanical waves and sound | Physics | Khan Academy thumb=https://i.ytimg.com/vi/VlaGxYjnoPY/default.jpg URL=http://www.youtube.com/watch?v=VlaGxYjnoPY description=We can measure speeds relative to the speed of sound. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/sound-topic/v/decibel-scale?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/sound-topic/v/relative-speed-of-sound-in-solids-liquids-and-gases?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=When the source and the wave move at the same velocity | Physics | Khan Academy thumb=https://i.ytimg.com/vi/4Xgk3vusxT8/default.jpg URL=http://www.youtube.com/watch?v=4Xgk3vusxT8 description=What happens when both the listener and the source are moving together? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/doppler-effect/v/doppler-effect-for-a-moving-observer?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/doppler-effect/v/doppler-effect-formula-when-source-is-moving-away?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Doppler effect formula when source is moving away | Physics | Khan Academy thumb=https://i.ytimg.com/vi/KkJ0wL9f2VY/default.jpg URL=http://www.youtube.com/watch?v=KkJ0wL9f2VY description=Let's look at the case where the source is moving away from the listener. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/doppler-effect/v/when-the-source-and-the-wave-move-at-the-same-velocity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/doppler-effect/v/doppler-effect-formula-for-observed-frequency?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Doppler effect formula for observed frequency | Physics | Khan Academy thumb=https://i.ytimg.com/vi/kGrk6V8tWDY/default.jpg URL=http://www.youtube.com/watch?v=kGrk6V8tWDY description=Let's derive the formula for how the perceived frequency of a sound changes when its source is moving toward you. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/doppler-effect/v/doppler-effect-formula-when-source-is-moving-away?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/doppler-effect/v/introduction-to-the-doppler-effect?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sal Khan (with a severe cold!) on Future Talk thumb=https://i.ytimg.com/vi/oPZQu5mIiRQ/default.jpg URL=http://www.youtube.com/watch?v=oPZQu5mIiRQ description=Salman Khan (with a severe cold!) on Future Talk/description type=video name=Introduction to the doppler effect | Mechanical waves and sound | Physics | Khan Academy thumb=https://i.ytimg.com/vi/dc7l7Qqa8xk/default.jpg URL=http://www.youtube.com/watch?v=dc7l7Qqa8xk description=Introduction to the Doppler Effect. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/doppler-effect/v/doppler-effect-formula-for-observed-frequency?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/standing-waves/v/standing-waves-in-tubes-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan Talk at the MIT Club of Northern California thumb=https://i.ytimg.com/vi/1C7FH7El35w/default.jpg URL=http://www.youtube.com/watch?v=1C7FH7El35w description=Salman Khan Talk at the MIT Club of Northern California/description type=video name=Order of operations: PEMDAS | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/piIcRV2dx7E/default.jpg URL=http://www.youtube.com/watch?v=piIcRV2dx7E description=Work through another challenging order of operations example with only positive numbers. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/e/order_of_operations_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/order-of-operations-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ClYdw4d4OmA/default.jpg URL=http://www.youtube.com/watch?v=ClYdw4d4OmA description=This example clarifies the purpose of order of operations: to have ONE way to interpret a mathematical statement. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/e/order_of_operations_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/order_of_operations/v/order-of-operations?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/rational-irrational-numbers/v/approximating-irrational-number-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of calculating a surface integral part 3 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/s2_NTiISZl4/default.jpg URL=http://www.youtube.com/watch?v=s2_NTiISZl4 description=Example of calculating a surface integral part 3 Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/surface-integral-example-part-1-parameterizing-the-unit-sphere?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/example-of-calculating-a-surface-integral-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of calculating a surface integral part 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/7sQCcGlK2bY/default.jpg URL=http://www.youtube.com/watch?v=7sQCcGlK2bY description=Example of calculating a surface integral part 1 Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/example-of-calculating-a-surface-integral-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/introduction-to-the-surface-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of calculating a surface integral part 2 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/qQAhhithHa8/default.jpg URL=http://www.youtube.com/watch?v=qQAhhithHa8 description=Example of calculating a surface integral part 2 Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/example-of-calculating-a-surface-integral-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/example-of-calculating-a-surface-integral-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ponzi schemes | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/5UVpLPtgdF4/default.jpg URL=http://www.youtube.com/watch?v=5UVpLPtgdF4 description=Ponzi Schemes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/ira-401ks/v/traditional-iras?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/mutual-funds/v/exchange-traded-funds-etfs?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If we're not in the mood to research and pick our own stocks, mutual funds and/or ETFs might be a good option. This tutorial explains what they are and how they are different. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan Speaks at GEL (Good Experience Live) Conference thumb=https://i.ytimg.com/vi/yTXKCzrFh3c/default.jpg URL=http://www.youtube.com/watch?v=yTXKCzrFh3c description=Salman Khan speaks at GEL (Good Experience Live) Conference/description type=video name=Khan Academy on PBS NewsHour (Edited) thumb=https://i.ytimg.com/vi/4jXv03sktik/default.jpg URL=http://www.youtube.com/watch?v=4jXv03sktik description=Khan Academy on PBS NewsHour (Edited)/description type=video name=Another Stoichiometry Example in a Solution thumb=https://i.ytimg.com/vi/_qrQKBB2jt8/default.jpg URL=http://www.youtube.com/watch?v=_qrQKBB2jt8 description=Another Stoichiometry Example in a Solution More free lessons at: http://www.khanacademy.org/video?v=_qrQKBB2jt8/description type=video name=Stoichiometry of a Reaction in Solution thumb=https://i.ytimg.com/vi/EKZSwjVR594/default.jpg URL=http://www.youtube.com/watch?v=EKZSwjVR594 description=Stoichiometry of a Reaction in Solution More free lessons at: http://www.khanacademy.org/video?v=EKZSwjVR594/description type=video name=Example of Finding Reactant Empirical Formula thumb=https://i.ytimg.com/vi/66ziUq6vRko/default.jpg URL=http://www.youtube.com/watch?v=66ziUq6vRko description=Example of Finding Reactant Empirical Formula More free lessons at: http://www.khanacademy.org/video?v=66ziUq6vRko/description type=video name=Empirical and Molecular Formulas from Stoichiometry thumb=https://i.ytimg.com/vi/FycJ8X67xEU/default.jpg URL=http://www.youtube.com/watch?v=FycJ8X67xEU description=Empirical and Molecular Formulas from Stoichiometry More free lessons at: http://www.khanacademy.org/video?v=FycJ8X67xEU/description type=video name=Absolute value equation example 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/jaizi_1IB5c/default.jpg URL=http://www.youtube.com/watch?v=jaizi_1IB5c description=Example of solving an absolute value equation Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/u02-l2-t2-we1-absolute-value-equations-avi?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value and number lines | Negative numbers and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/frBJEYvyd-8/default.jpg URL=http://www.youtube.com/watch?v=frBJEYvyd-8 description=One easy way to think of absolute value is the distance it is from zero. To do that, a number line comes in handy. Watch and learn. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/e/absolute_value?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/mult-div-negatives-pre-alg/v/multiplying-and-dividing-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: Solving for a variable | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Aig1hkq3OsU/default.jpg URL=http://www.youtube.com/watch?v=Aig1hkq3OsU description=Example of solving for a variable Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/e/solving_for_a_variable?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/manipulating-formula-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/solving_for_variable/v/solving-for-a-variable-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the surface integral | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/9k97m8oWnaY/default.jpg URL=http://www.youtube.com/watch?v=9k97m8oWnaY description=Introduction to the surface integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/example-of-calculating-a-surface-integral-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/partial-derivatives-of-vector-valued-functions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial derivatives of vector-valued functions | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/c7ByaI3T7Dc/default.jpg URL=http://www.youtube.com/watch?v=c7ByaI3T7Dc description=Partial Derivatives of Vector-Valued Functions Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/introduction-to-the-surface-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_parametrization/v/determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to parametrizing a surface with two parameters | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/owKAHXf1y1A/default.jpg URL=http://www.youtube.com/watch?v=owKAHXf1y1A description=Introduction to Parametrizing a Surface with Two Parameters Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_parametrization/v/determining-a-position-vector-valued-function-for-a-parametrization-of-two-parameters?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/conceptual-clarification-for-2-d-divergence-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determining a position vector-valued function for a parametrization of two parameters | Khan Academy thumb=https://i.ytimg.com/vi/bJ_09eoCmag/default.jpg URL=http://www.youtube.com/watch?v=bJ_09eoCmag description=Determining a Position Vector-Valued Function for a Parametrization of Two Parameters Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_integrals/v/partial-derivatives-of-vector-valued-functions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/surface-integrals/surface_parametrization/v/introduction-to-parametrizing-a-surface-with-two-parameters?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Napoleon forced to abdicate | World history | Khan Academy thumb=https://i.ytimg.com/vi/CH6FQhlZn6k/default.jpg URL=http://www.youtube.com/watch?v=CH6FQhlZn6k description=The Sixth Coalition forces Napoleon into exile on Elba. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/hundred-days-and-waterloo?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/french-invasion-of-russia?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=French invasion of Russia | World history | Khan Academy thumb=https://i.ytimg.com/vi/F_ySQvjtAxQ/default.jpg URL=http://www.youtube.com/watch?v=F_ySQvjtAxQ description=Napoleon's disastrous invasion of Russia. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-forced-to-abdicate?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-s-peninsular-campaigns?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Napoleon's Peninsular Campaigns | World history | Khan Academy thumb=https://i.ytimg.com/vi/ALJGz4r_VF0/default.jpg URL=http://www.youtube.com/watch?v=ALJGz4r_VF0 description=French forces get embroiled in the Iberian Peninsula. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/french-invasion-of-russia?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-and-the-war-of-the-fourth-coalition?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Napoleon and the War of the Fourth Coalition | World history | Khan Academy thumb=https://i.ytimg.com/vi/O3HxPDH-s7w/default.jpg URL=http://www.youtube.com/watch?v=O3HxPDH-s7w description=Napoleon takes on Prussia and Russia and wins again. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-s-peninsular-campaigns?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-and-the-war-of-the-third-coalition?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surveys and Samples thumb=https://i.ytimg.com/vi/nabw6v93Xns/default.jpg URL=http://www.youtube.com/watch?v=nabw6v93Xns description=Surveys and Samples/description type=video name=Two more examples of solving rational equations thumb=https://i.ytimg.com/vi/u28w46QrE0Q/default.jpg URL=http://www.youtube.com/watch?v=u28w46QrE0Q description=Two more examples of solving rational equations/description type=video name=Solving Rational Equations thumb=https://i.ytimg.com/vi/6eqgIZyXgK8/default.jpg URL=http://www.youtube.com/watch?v=6eqgIZyXgK8 description=Solving Rational Equations/description type=video name=Adding Rational Expressions Example 1 thumb=https://i.ytimg.com/vi/nWEso_M7By4/default.jpg URL=http://www.youtube.com/watch?v=nWEso_M7By4 description=Adding Rational Expressions Example 1/description type=video name=Adding Rational Expressions Example 3 thumb=https://i.ytimg.com/vi/4VO-BgDgAHE/default.jpg URL=http://www.youtube.com/watch?v=4VO-BgDgAHE description=Adding Rational Expressions Example 3/description type=video name=Adding Rational Expressions Example 2 thumb=https://i.ytimg.com/vi/euyg3SwS2lU/default.jpg URL=http://www.youtube.com/watch?v=euyg3SwS2lU description=Adding Rational Expressions Example 2/description type=video name=Multiplying and Dividing Rational Expressions thumb=https://i.ytimg.com/vi/x_5hDLe8UL0/default.jpg URL=http://www.youtube.com/watch?v=x_5hDLe8UL0 description=Multiplying and Dividing Rational Expressions/description type=video name=Simplifying rational expressions introduction | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/7Uos1ED3KHI/default.jpg URL=http://www.youtube.com/watch?v=7Uos1ED3KHI description=Simplifying Rational Expressions Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial division | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/FXgV9ySNusc/default.jpg URL=http://www.youtube.com/watch?v=FXgV9ySNusc description=Polynomial Division Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/polynomial-divided-by-monomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/analyzing-polynomial-manipulations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A third example of graphing a rational function | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/p7ycTWq6BFk/default.jpg URL=http://www.youtube.com/watch?v=p7ycTWq6BFk description=A Third Example of Graphing a Rational Function Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/partial-fraction-expansion/v/partial-fraction-expansion-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/asymptotes-graphing-rational/v/another-rational-function-graph-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another rational function graph example | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ReEMqdZEEX0/default.jpg URL=http://www.youtube.com/watch?v=ReEMqdZEEX0 description=Another Rational Function Graph Example Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/asymptotes-graphing-rational/v/a-third-example-of-graphing-a-rational-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/asymptotes-graphing-rational/v/asymptotes-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Asymptotes of rational functions | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/2N62v_63SBo/default.jpg URL=http://www.youtube.com/watch?v=2N62v_63SBo description=Asymptotes of Rational Functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/asymptotes-graphing-rational/v/another-rational-function-graph-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/rational-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proportionality thumb=https://i.ytimg.com/vi/AQFZuih2odo/default.jpg URL=http://www.youtube.com/watch?v=AQFZuih2odo description=Proportionality/description type=video name=Box-and-whisker Plot thumb=https://i.ytimg.com/vi/BXq5TFLvsVw/default.jpg URL=http://www.youtube.com/watch?v=BXq5TFLvsVw description=Box-and-whisker Plot/description type=video name=Histograms | Applying mathematical reasoning | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4eLJGG2Ad30/default.jpg URL=http://www.youtube.com/watch?v=4eLJGG2Ad30 description=Histograms Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-charts-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/applying-math-reasoning-topic/reading_data/v/reading-bar-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Stem and Leaf Plots thumb=https://i.ytimg.com/vi/OaJXJduRiIE/default.jpg URL=http://www.youtube.com/watch?v=OaJXJduRiIE description=Stem and Leaf Plots/description type=video name=Range, variance and standard deviation as measures of dispersion | Khan Academy thumb=https://i.ytimg.com/vi/E4HAYd0QnRc/default.jpg URL=http://www.youtube.com/watch?v=E4HAYd0QnRc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/variance-of-a-population?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/box-and-whisker-plots/v/range-and-mid-range?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Average or Central Tendency: Arithmetic Mean, Median, and Mode thumb=https://i.ytimg.com/vi/GrynkZB3E7M/default.jpg URL=http://www.youtube.com/watch?v=GrynkZB3E7M description=Average or Central Tendency: Arithmetic Mean, Median, and Mode/description type=video name=Visual Pythagorean Theorem Proof thumb=https://i.ytimg.com/vi/r382kfkqAF4/default.jpg URL=http://www.youtube.com/watch?v=r382kfkqAF4 description=Visual Pythagorean Theorem Proof - some basic geometry required/description type=video name=Midpoint formula | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Ez_-RwV9WVo/default.jpg URL=http://www.youtube.com/watch?v=Ez_-RwV9WVo description=Midpoint Formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/e/midpoint_formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/ratios-of-distances-between-colinear-points?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/distance-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Distance formula | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/nyZuite17Pc/default.jpg URL=http://www.youtube.com/watch?v=nyZuite17Pc description=How to find the distance between lines using the Pythagorean Formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/e/distance_formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/cc-distances-between-points/v/midpoint-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/geometry-problems-coordinate-pla/v/minions-within-reach-of-wizard?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean theorem | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/AEIzy1kNRqo/default.jpg URL=http://www.youtube.com/watch?v=AEIzy1kNRqo description=Pythagorean Theorem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/e/pythagorean_theorem_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/old_school_similarity/v/similar-triangles-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More Involved Radical Equation Example thumb=https://i.ytimg.com/vi/5pqzmUxOw_E/default.jpg URL=http://www.youtube.com/watch?v=5pqzmUxOw_E description=More Involved Radical Equation Example/description type=video name=Radical Equation Examples thumb=https://i.ytimg.com/vi/dKuk8PybYs4/default.jpg URL=http://www.youtube.com/watch?v=dKuk8PybYs4 description=Radical Equation Examples/description type=video name=Extraneous solutions to radical equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/711pdW8TbbY/default.jpg URL=http://www.youtube.com/watch?v=711pdW8TbbY description=Extraneous Solutions to Radical Equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/e/radical_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to rationalize a denominator | Exponent expressions and equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/gY5TvlHg4Vk/default.jpg URL=http://www.youtube.com/watch?v=gY5TvlHg4Vk description=How to Rationalize a Denominator Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/radical_equations/v/solving-radical-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/simplifying-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding and simplifying radicals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/VWlFMfPVmkU/default.jpg URL=http://www.youtube.com/watch?v=VWlFMfPVmkU description=More Simplifying Radical Expressions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/adding_and_subtracting_radicals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/v/finding-cube-roots?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/square-roots-and-real-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of square-root functions | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/outcfkh69U0/default.jpg URL=http://www.youtube.com/watch?v=outcfkh69U0 description=Graphs of Square Root Functions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/e/shifting_and_reflecting_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/flipping-shifting-radical-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/shifting-reflecting-functions/v/shifting-and-reflecting-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Radical expressions with higher roots | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/iX7ivCww2ws/default.jpg URL=http://www.youtube.com/watch?v=iX7ivCww2ws description=Radical Expressions with Higher Roots Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/subtracting-and-simplifying-radicals?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/exponent-equations/simplifying-radical-expressions/v/simplifying-square-roots-comment-response?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadratic Regression thumb=https://i.ytimg.com/vi/z_hEVWSkQHo/default.jpg URL=http://www.youtube.com/watch?v=z_hEVWSkQHo description=Using a calculator to perform a quadratic regression/description type=video name=Identifying Exponential Models thumb=https://i.ytimg.com/vi/s8PKFcrrbNQ/default.jpg URL=http://www.youtube.com/watch?v=s8PKFcrrbNQ description=Identifying Exponential Models/description type=video name=Identifying Quadratic Models thumb=https://i.ytimg.com/vi/o1npPDCq-4M/default.jpg URL=http://www.youtube.com/watch?v=o1npPDCq-4M description=Using y=x^2 to give a sense of why the change in the change of y (or the change in the slope) is constant/description type=video name=Linear, Quadratic, and Exponential Models thumb=https://i.ytimg.com/vi/CxEFOozrMSE/default.jpg URL=http://www.youtube.com/watch?v=CxEFOozrMSE description=Linear, Quadratic, and Exponential Models/description type=video name=Khan Academy Vision and Social Return thumb=https://i.ytimg.com/vi/wRf6XiEZ_Y8/default.jpg URL=http://www.youtube.com/watch?v=wRf6XiEZ_Y8 description=An overview of the Khan Academy today and what I see as its potential social impact More free lessons at: http://www.khanacademy.org/video?v=wRf6XiEZ_Y8/description type=video name=How to use the quadratic formula | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/i7idZfS8t8w/default.jpg URL=http://www.youtube.com/watch?v=i7idZfS8t8w description=Introduction to using the quadratic formula. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/proof-of-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/solving-quadratic-equations-by-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Discriminant of quadratic equations | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/JBSDQLZtjFo/default.jpg URL=http://www.youtube.com/watch?v=JBSDQLZtjFo description=Discriminant of Quadratic Equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/solutions_to_quadratic_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/discriminant-for-types-of-solutions-for-a-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/complex-roots-from-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of quadratic formula | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/r3SEkdtpobo/default.jpg URL=http://www.youtube.com/watch?v=r3SEkdtpobo description=Proof of Quadratic Formula Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/quadratic_equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/complex-roots-from-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/using-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving quadratic equations by completing the square | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/bNQY0z76M5A/default.jpg URL=http://www.youtube.com/watch?v=bNQY0z76M5A description=Solving Quadratic Equations by Completing the Square Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/solving_quadratics_by_taking_the_square_root?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/completing_the_square_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/solving-quadratic-equations-by-square-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving quadratic equations by square roots | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/55G8037gsKY/default.jpg URL=http://www.youtube.com/watch?v=55G8037gsKY description=Solving Quadratic Equations by Square Roots Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/e/solving_quadratics_by_taking_the_square_root?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/solving-quadratic-equations-by-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-trinomials-by-grouping-6?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving Quadratic Equations by Graphing thumb=https://i.ytimg.com/vi/JHUju_Qkqbg/default.jpg URL=http://www.youtube.com/watch?v=JHUju_Qkqbg description=Solving Quadratic Equations by Graphing/description type=video name=Multiple examples graphing parabolas using roots and vertices | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/RjkTEyO5Zso/default.jpg URL=http://www.youtube.com/watch?v=RjkTEyO5Zso description=Multiple examples graphing parabolas using roots and vertices Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/graphing-a-parabola-using-roots-and-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/solving_graphing_quadratics/v/finding-the-vertex-of-a-parabola-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More examples of factoring by grouping | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/X7B_tH4O-_s/default.jpg URL=http://www.youtube.com/watch?v=X7B_tH4O-_s description=Can't get enough of Sal factoring quadratics by grouping? Here's a handful of examples just for you! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/e/factoring_polynomials_by_grouping_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-trinomials-by-grouping-5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/factoring-polynomials-2-quadratic-forms/v/factoring-trinomials-by-grouping-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More examples of factoring quadratics with a leading coefficient of 1 | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/eF6zYNzlZKQ/default.jpg URL=http://www.youtube.com/watch?v=eF6zYNzlZKQ description=Can't get enough of Sal factoring simple quadratics? Here's a handful of examples just for you! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_polynomials_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-polynomials-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/mathy-functions/v/linear-algebra-introduction-to-the-inverse-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Factoring special products | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/BI_jmI4xRus/default.jpg URL=http://www.youtube.com/watch?v=BI_jmI4xRus description=Factoring Special Products Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/e/factoring_difference_of_squares_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-difference-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_factoring/v/factoring-trinomials-with-a-common-factor?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polynomial Equations in Factored Form thumb=https://i.ytimg.com/vi/zxz0WNVnF38/default.jpg URL=http://www.youtube.com/watch?v=zxz0WNVnF38 description=Polynomial Equations in Factored Form/description type=video name=Introduction to special products of binomials | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/bFtjG45-Udk/default.jpg URL=http://www.youtube.com/watch?v=bFtjG45-Udk description=Sal gives numerous examples of the two special product forms: perfect squares and the difference of two squares. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/e/multiplying_expressions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/special-products-of-polynomials/v/special-polynomials-products-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-polynomials-and-factorization/multiplying-polynomials-by-binomials/v/multiplying-polynomials-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More examples of addition and subtraction of polynomials | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ZgFXL6SEUiI/default.jpg URL=http://www.youtube.com/watch?v=ZgFXL6SEUiI description=If you can't get enough of Sal adding and subtracting polynomials, here's a bunch of many more examples. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/adding_and_subtracting_polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/multiplying-polynomials?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/terms-coefficients-and-exponents-in-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying binomials and polynomials | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/fGThIRpWEE4/default.jpg URL=http://www.youtube.com/watch?v=fGThIRpWEE4 description=Multiplying binomials. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/multiplying-binomials-core-algebra/v/multiplying-binomials?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/quadratics-polynomials-topic/factoring-simple-expressions-core-algebra/v/factoring-and-the-distributive-property-3?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential growth and decay word problems | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/m5Tf6vgoJtQ/default.jpg URL=http://www.youtube.com/watch?v=m5Tf6vgoJtQ description=Word Problem Solving- Exponential Growth and Decay Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exponential-modeling/v/decay-of-cesium-137-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/constructing-linear-and-exponential-functions-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to geometric sequences | Sequences, series and induction | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/pXo0bG4iAyg/default.jpg URL=http://www.youtube.com/watch?v=pXo0bG4iAyg description=An introduction to geometric sequences Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/e/geometric_sequences_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/precalc-geometric-sequences/v/geometric-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/series-as-sum-of-sequence?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential Decay Functions thumb=https://i.ytimg.com/vi/AXAMVxaxjDg/default.jpg URL=http://www.youtube.com/watch?v=AXAMVxaxjDg description=Exponential Decay Functions/description type=video name=Exponential growth functions | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/6WMZ7J0wwMI/default.jpg URL=http://www.youtube.com/watch?v=6WMZ7J0wwMI description=Exponential Growth Functions Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/exp_growth_decay/v/graphing-exponential-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-variation-application?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scientific notation examples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/i6lfVUp5RW8/default.jpg URL=http://www.youtube.com/watch?v=i6lfVUp5RW8 description=Learn how to solve a variety of scientific notation problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/e/scientific_notation_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-examples?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-old?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Zero, negative, and fractional exponents | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tOuCdKqO6-s/default.jpg URL=http://www.youtube.com/watch?v=tOuCdKqO6-s description=Zero, Negative, and Fractional Exponents Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/e/exponents_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-old?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/negative-exponent-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties involving quotients (examples) | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/AR1uqNbjM5s/default.jpg URL=http://www.youtube.com/watch?v=AR1uqNbjM5s description=Learn how to simplify expressions like (5^6)/(5^2). Also learn how 1/(a^b) is the same as a^-b. Towards the end of the video, we practice simplifying more complex expressions like (25 * x * y^6)/(20 * y^5 * x^2). Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/exponent_rules?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/products-and-exponents-raised-to-an-exponent-properties?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/exponent-properties-involving-products?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent properties involving products | Numbers and operations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/zM_p7tfWvLU/default.jpg URL=http://www.youtube.com/watch?v=zM_p7tfWvLU description=Gain a deep intuition for these exponent properties: (x^a)( x^b)=x^(a+b) and (xy)^a=(x^a)(y^a) and (x^a)^b=x^(a*b) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/e/exponent_rules?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/exponent-properties-involving-quotients?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents/v/powers-of-zero?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Systems of Linear Inequalities thumb=https://i.ytimg.com/vi/5xQqwgS3O4U/default.jpg URL=http://www.youtube.com/watch?v=5xQqwgS3O4U description=Systems of Linear Inequalities/description type=video name=Special Types of Linear Systems thumb=https://i.ytimg.com/vi/5qkyuHIE2GM/default.jpg URL=http://www.youtube.com/watch?v=5qkyuHIE2GM description=Special Types of Linear Systems More free lessons at: http://www.khanacademy.org/video?v=5qkyuHIE2GM/description type=video name=Systems of equations with elimination (and manipulation) | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/wYrxKGt_bLg/default.jpg URL=http://www.youtube.com/watch?v=wYrxKGt_bLg description=In some cases, we need to slightly manipulate a system of equations before we can solve it using the elimination method. So how it's done in this video. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/why-we-do-the-same-thing-to-both-sides-basic-systems?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math1/math1-systems-of-eq/math1-equivalent-systems-of-equations/v/how-many-bags-of-potato-chips-do-people-eat?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving systems of equations by elimination | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/vA-55wZtLeE/default.jpg URL=http://www.youtube.com/watch?v=vA-55wZtLeE description=Solving Systems of Equations by Elimination. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-systems-of-equations-by-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-linear-systems-by-substitution?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving linear systems by substitution | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/V7H1oUHXPkg/default.jpg URL=http://www.youtube.com/watch?v=V7H1oUHXPkg description=Solving Linear Systems by Substitution. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-systems-of-equations-by-elimination?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-systems/core-algebra-systems-tutorial/v/solving-linear-systems-by-graphing?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving linear systems by graphing | Systems of equations | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/5a6zpfl50go/default.jpg URL=http://www.youtube.com/watch?v=5a6zpfl50go description=Solving Linear Systems by Graphing Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/e/graphing_systems_of_equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-graphically/v/testing-a-solution-for-a-system-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview/v/practice-using-substitution-for-systems?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to graphing inequalities | Two-variable linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/unSBFwK881s/default.jpg URL=http://www.youtube.com/watch?v=unSBFwK881s description=Learn how to graph two-variable linear inequalities. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-graphing-linear-inequalities/e/graphs_of_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/graphing-inequalities/v/graphing-linear-inequalities-in-two-variables-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-variable-linear-inequalities/checking-solutions-of-inequalities/v/testing-solutions-for-a-system-of-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value inequalities | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/iI_2Piwn_og/default.jpg URL=http://www.youtube.com/watch?v=iI_2Piwn_og description=Absolute Value Inequalities Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-inequalities-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equation-with-no-solution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound inequalities | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/A3xPhzs-KBI/default.jpg URL=http://www.youtube.com/watch?v=A3xPhzs-KBI description=Compound Inequalities Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/compound_absolute_value_inequali/v/compund-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/writing-and-using-inequalities-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Absolute value equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/u6zDpUL5RkU/default.jpg URL=http://www.youtube.com/watch?v=u6zDpUL5RkU description=Absolute Value Equations Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/absolute-value-equations/v/absolute-value-equations-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/age_word_problems_tut/v/ex-3-age-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multi-step inequalities | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xOxvyeSl0uA/default.jpg URL=http://www.youtube.com/watch?v=xOxvyeSl0uA description=Compound Inequalities Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/linear_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/multi-step-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/solving-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying and dividing with inequalities | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/PNXozoJWsWc/default.jpg URL=http://www.youtube.com/watch?v=PNXozoJWsWc description=Our discussion of linear inequalities begins with multiplying and dividing by negative numbers. Listen closely for the word "swap." Super important! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/one_step_inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/one-step-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/age-word-problems-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inequalities using addition and subtraction | Linear inequalities | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/UTs4uZhu5t8/default.jpg URL=http://www.youtube.com/watch?v=UTs4uZhu5t8 description=Inequalities Using Addition and Subtraction Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/e/solving-2-step-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/solving-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/one-step-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using a Linear Model thumb=https://i.ytimg.com/vi/Gjv25aOuD00/default.jpg URL=http://www.youtube.com/watch?v=Gjv25aOuD00 description=Using a Linear Model/description type=video name=Fitting a line to data | Regression | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/OhUkMQtBGmE/default.jpg URL=http://www.youtube.com/watch?v=OhUkMQtBGmE description=Watch the next lesson: https://www.khanacademy.org/math/probability/regression/regression-correlation/v/estimating-the-line-of-best-fit-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/correlation-and-causality?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Predicting with Linear Models thumb=https://i.ytimg.com/vi/aVDiAGZmcPo/default.jpg URL=http://www.youtube.com/watch?v=aVDiAGZmcPo description=Predicting with Linear Models/description type=video name=Equations of parallel and perpendicular lines | Analytic geometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/9hryH94KFJA/default.jpg URL=http://www.youtube.com/watch?v=9hryH94KFJA description=Equations of Parallel and Perpendicular Lines Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/e/line_relationships?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/v/distance-between-a-point-and-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/v/parallel-and-perpendicular-lines-intro?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear Equations in Standard Form thumb=https://i.ytimg.com/vi/BaQXFstxCMo/default.jpg URL=http://www.youtube.com/watch?v=BaQXFstxCMo description=Linear Equations in Standard Form More free lessons at: http://www.khanacademy.org/video?v=BaQXFstxCMo/description type=video name=Linear Equations in Point Slope Form thumb=https://i.ytimg.com/vi/zqCokP2vDGo/default.jpg URL=http://www.youtube.com/watch?v=zqCokP2vDGo description=Linear Equations in Point Slope Form More free lessons at: http://www.khanacademy.org/video?v=zqCokP2vDGo/description type=video name=More examples of constructing linear equations in slope-intercept form | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/5fkh01mClLU/default.jpg URL=http://www.youtube.com/watch?v=5fkh01mClLU description=Linear Equations in Slope Intercept Form Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/point-slope/v/idea-behind-point-slope-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/equation-of-a-line-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Word Problem Solving 3 thumb=https://i.ytimg.com/vi/LRKMoqrMbGw/default.jpg URL=http://www.youtube.com/watch?v=LRKMoqrMbGw description=Word problem solving strategies from chapter 3 of ck12.org Algebra I book/description type=video name=Percent Problems thumb=https://i.ytimg.com/vi/1LtBcfk1uHg/default.jpg URL=http://www.youtube.com/watch?v=1LtBcfk1uHg description=Percent Problems from Chapter 3 of ck12.org Algebra I textbook/description type=video name=Scale and Indirect Measurement thumb=https://i.ytimg.com/vi/GfNB14D55gQ/default.jpg URL=http://www.youtube.com/watch?v=GfNB14D55gQ type=video name=Ratio and Proportion thumb=https://i.ytimg.com/vi/WfqgFBGet7s/default.jpg URL=http://www.youtube.com/watch?v=WfqgFBGet7s description=Ratio and Proportion More free lessons at: http://www.khanacademy.org/video?v=WfqgFBGet7s/description type=video name=Ex 3: Distributive property to simplify | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/xMsG9hvqzbY/default.jpg URL=http://www.youtube.com/watch?v=xMsG9hvqzbY description=Equations with Variables on Both Sides Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/multistep_equations_with_distribution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/exp_unknown_vars/v/evaluating-expressions-where-individual-variable-values-are-unknown?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Ex 1: Distributive property to simplify | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/a5uNoOnEy_A/default.jpg URL=http://www.youtube.com/watch?v=a5uNoOnEy_A description=Multi-Step Equations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/e/multistep_equations_with_distribution?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/equations-with-variables-on-both-sides?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/complicated_equations/v/multi-step-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example: two-step equations | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tuVd355R-OQ/default.jpg URL=http://www.youtube.com/watch?v=tuVd355R-OQ description=Let's practice some two step equations, some of which require merging terms and using the distributive property. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/linear_equations_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple equations: examples solving a variety of forms | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/9DxrF6Ttws4/default.jpg URL=http://www.youtube.com/watch?v=9DxrF6Ttws4 description=Some quick examples to practice solving a variety of one step equations. All 4 operations (add, subtract, multiple, divide) are paired with variables. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/e/one_step_equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/equations_beginner/v/solving-one-step-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Modeling with linear equations example 2 | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/5EdbPz1ZVn0/default.jpg URL=http://www.youtube.com/watch?v=5EdbPz1ZVn0 description=Constructing linear equations to solve word problems Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/e/graphing-linear-functions-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/v/fitting-a-line-to-data?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-linear-functions-modeling/v/application-problem-with-graph?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Evaluating with function notation | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/EmTvdKkAUtE/default.jpg URL=http://www.youtube.com/watch?v=EmTvdKkAUtE description=Linear Function Graphs Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/e/functions_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/understanding-function-notation-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function-introduction/v/relations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Direct variation models | Rational expressions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/9M-B5qU7ezY/default.jpg URL=http://www.youtube.com/watch?v=9M-B5qU7ezY description=Direct Variation Models Watch the next lesson: https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/direct-variation-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/rational-expressions/direct_inverse_variation/v/proportionality-constant-for-direct-variation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope-intercept equation from a graph examples | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/9wOalujeZf4/default.jpg URL=http://www.youtube.com/watch?v=9wOalujeZf4 description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/e/slope-intercept-equation-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/equation-of-a-line-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/graphing-a-line-in-slope-intercept-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope and rate of change | Graphing lines and slope | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/Iqws-qzyZwc/default.jpg URL=http://www.youtube.com/watch?v=Iqws-qzyZwc description=Created by Sal Khan and CK-12 Foundation. Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-slope/v/graphical-slope-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-slope/v/slope-of-a-line-2?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphs of linear equations | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/rgvysb9emcQ/default.jpg URL=http://www.youtube.com/watch?v=rgvysb9emcQ description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/e/graphing-solutions-to-two-variable-linear-equations?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-x-and-y-intercepts/v/finding-x-intercept-of-a-line?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/v/plotting-x-y-relationships?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing Using Intercepts thumb=https://i.ytimg.com/vi/6zixwWZ88tk/default.jpg URL=http://www.youtube.com/watch?v=6zixwWZ88tk description=More free lessons at: http://www.khanacademy.org/video?v=6zixwWZ88tk/description type=video name=Coordinate plane examples | Linear equations and functions | 8th grade | Khan Academy thumb=https://i.ytimg.com/vi/VhNkWdLGpmA/default.jpg URL=http://www.youtube.com/watch?v=VhNkWdLGpmA description=Let's get familiar with the x/y coordinate plane, both from the perspective of plotting points and interpreting the placement of points on a plane. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/e/plugging_in_values?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/v/determining-a-linear-equation-by-trying-out-values-from-a-table?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/v/descartes-and-cartesian-coordinates?utm_source=YT&utm_medium=Desc&utm_campaign=8thgrade 8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s 8th grade channel: https://www.youtube.com/channel/UCq341CBxj87C7AY_zu2qPlQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Problem Solving Word Problems 2 thumb=https://i.ytimg.com/vi/s1QN7sSfBM8/default.jpg URL=http://www.youtube.com/watch?v=s1QN7sSfBM8 description=More free lessons at: http://www.khanacademy.org/video?v=s1QN7sSfBM8/description type=video name=Square roots and real numbers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/BpBh8gvMifs/default.jpg URL=http://www.youtube.com/watch?v=BpBh8gvMifs description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/e/simplifying_radicals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/more-simplifying-radical-expressions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/simplifying-radicals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Division of Rational Numbers thumb=https://i.ytimg.com/vi/I0b5-7UuwQ8/default.jpg URL=http://www.youtube.com/watch?v=I0b5-7UuwQ8 type=video name=Distributive property algebraic expressions | Arithmetic properties | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ewEorPD4kdA/default.jpg URL=http://www.youtube.com/watch?v=ewEorPD4kdA description=Here we have some algebraic expressions to which we need to apply the distributive property. Now we're beginning to see how useful this property can be! Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/e/distributive_property?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/distributive-property-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/ditributive_property/v/the-distributive-property-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication of Rational Numbers thumb=https://i.ytimg.com/vi/lBi9bwz08EY/default.jpg URL=http://www.youtube.com/watch?v=lBi9bwz08EY type=video name=Subraction of Rational Numbers thumb=https://i.ytimg.com/vi/lLIo4kGRBEw/default.jpg URL=http://www.youtube.com/watch?v=lLIo4kGRBEw type=video name=Addition of Rational Numbers thumb=https://i.ytimg.com/vi/BKEtsv9MbyY/default.jpg URL=http://www.youtube.com/watch?v=BKEtsv9MbyY description=Learn how to add two rational numbers./description type=video name=Integers and Rational Numbers thumb=https://i.ytimg.com/vi/kyu-IQ-gBIg/default.jpg URL=http://www.youtube.com/watch?v=kyu-IQ-gBIg type=video name=Word Problem Solving Strategies thumb=https://i.ytimg.com/vi/SpDIXJ2I2D4/default.jpg URL=http://www.youtube.com/watch?v=SpDIXJ2I2D4 type=video name=Word Problem Solving Plan 1 thumb=https://i.ytimg.com/vi/Xz6rT9k8ftg/default.jpg URL=http://www.youtube.com/watch?v=Xz6rT9k8ftg type=video name=Functions as graphs | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/jQ-fS2lsslU/default.jpg URL=http://www.youtube.com/watch?v=jQ-fS2lsslU description=Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/recognizing-functions-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/graphical-relations-and-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain and range of a function | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/O0uUVH8dRiU/default.jpg URL=http://www.youtube.com/watch?v=O0uUVH8dRiU description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/domain_and_range_0.5?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/recognizing-functions-2/v/testing-if-a-relationship-is-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order of operations, more examples | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/3Po3nfITsok/default.jpg URL=http://www.youtube.com/watch?v=3Po3nfITsok description=Complete a series of order of operations problems, including expressions with variables. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/mixture-problems-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equations and Inequalities thumb=https://i.ytimg.com/vi/hJ-_OoCHTks/default.jpg URL=http://www.youtube.com/watch?v=hJ-_OoCHTks type=video name=Bunch of examples | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/rUT0pa87m7E/default.jpg URL=http://www.youtube.com/watch?v=rUT0pa87m7E description=Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/mixture-problems-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/2003-aime-ii-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples of evaluating variable expressions | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/aoXUWSwiDzE/default.jpg URL=http://www.youtube.com/watch?v=aoXUWSwiDzE description=Evaluating Expressions with Two Variables Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/e/evaluating_expressions_2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluating-expressions-3-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/v/evaluating-expressions-with-two-variables?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Napoleon and the War of the Third Coalition | World history | Khan Academy thumb=https://i.ytimg.com/vi/yogD_-Op4Wc/default.jpg URL=http://www.youtube.com/watch?v=yogD_-Op4Wc description=Napoleon leads France to become the dominant power in Europe. Napoleon I becomes Emperor of France. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-and-the-war-of-the-fourth-coalition?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-and-the-wars-of-the-first-and-second-coalitions?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Napoleon and the Wars of the First and Second Coalitions | Khan Academy thumb=https://i.ytimg.com/vi/OzyH-1p9nAg/default.jpg URL=http://www.youtube.com/watch?v=OzyH-1p9nAg description=Overview of the first two coalitions against France and Napoleon's roles in them. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-and-the-war-of-the-third-coalition?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-4-the-rise-of-napoleon-bonaparte?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: From the earliest civilizations to the modern world, geography, religion, trade, and politics have bound peoples and nations together — and torn them apart. Take a journey through time and space and discover the fascinating history behind the complex world we inhabit today. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Payday Loans | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/BHTMuHvmarU/default.jpg URL=http://www.youtube.com/watch?v=BHTMuHvmarU description=How Payday lending works. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/cont-comp-int-and-e/v/e-through-compound-interest?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest/v/institutional-roles-in-issuing-and-processing-credit-cards?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most of us have borrowed to buy something. Credit cards, in particular, can be quite convenient (but dangerous if not used in moderation). This tutorial explains credit card interest, how credit card companies make money and a far more silly way of borrowing money called "payday" loans. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finite geometric series word problem: mortgage | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/i05-okb1EJg/default.jpg URL=http://www.youtube.com/watch?v=i05-okb1EJg description=Figuring out the formula for fixed mortgage payments using the sum of a geometric series. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-buying-process/v/titles-and-deeds-in-real-estate?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/balloon-payment-mortgage?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Most people buying a home need a mortgage to do so. This tutorial explains what a mortgage is and then actually does some math to figure out what your payments are (the last video is quite mathy so consider it optional). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Haitian Revolution (Part 2) | World history | Khan Academy thumb=https://i.ytimg.com/vi/gU-5bjpAPmA/default.jpg URL=http://www.youtube.com/watch?v=gU-5bjpAPmA description=Dessalines takes on Leclerc and Rochambeau. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation/protestant-reformation/v/protestant-reformation-1?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-3-reign-of-terror?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Haitian Revolution (Part 1) | World history | Khan Academy thumb=https://i.ytimg.com/vi/Qz5zFzvbib4/default.jpg URL=http://www.youtube.com/watch?v=Qz5zFzvbib4 description=Slaves rebel in Saint-Domingue (Haiti). Rise of Toussaint L'Ouverture. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/haitian-revolution/v/haitian-revolution-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/many-french-revolutions/v/les-miserables-and-france-s-many-revolutions?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=French Revolution (part 4) - The Rise of Napoleon Bonaparte | World history | Khan Academy thumb=https://i.ytimg.com/vi/KYoB2mjNdr0/default.jpg URL=http://www.youtube.com/watch?v=KYoB2mjNdr0 description=The rise of Napoleon Bonaparte. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-and-the-wars-of-the-first-and-second-coalitions?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-3-reign-of-terror?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=French Revolution (part 3) - Reign of Terror | World history | Khan Academy thumb=https://i.ytimg.com/vi/BZmtnCqTWik/default.jpg URL=http://www.youtube.com/watch?v=BZmtnCqTWik description=The Reign of Terror. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-4-the-rise-of-napoleon-bonaparte?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=French Revolution (part 2) | World history | Khan Academy thumb=https://i.ytimg.com/vi/0t4MF9ZoppM/default.jpg URL=http://www.youtube.com/watch?v=0t4MF9ZoppM description=Royals try to escape. Champ De Mars Massacre. Declaration of Pillnitz. Movement towards becoming a Republic. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-3-reign-of-terror?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Called the Great War (before World War II came about), World War I was the bloody wake-up call that humanity was entering into a new stage of civilization. Really the defining conflict that took Europe from 19th Century Imperial states that saw heroism in war into a modern shape. Unfortunately, it had to go through World War II as well (that some would argue was due to imbalances created by World War I). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=French Revolution (part 1) | World history | Khan Academy thumb=https://i.ytimg.com/vi/BDWqwcTtZa0/default.jpg URL=http://www.youtube.com/watch?v=BDWqwcTtZa0 description=Part 1 of the French Revolution. From the Convocation of the Estates General to the storming of the Bastille. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/humanities/world-history/1600s-1800s/french-revolution-tutorial/v/french-revolution-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory Missed the previous lesson? https://www.khanacademy.org/humanities/world-history/euro-hist/cold-war/v/pattern-of-us-cold-war-interventions?utm_source=YT&utm_medium=Desc&utm_campaign=worldhistory World history on Khan Academy: Do we need kings? Can people govern themselves? What rights do we all have? Can science and understanding uplift all of humanity? This topic lays the foundation for our modern thinking about the world. From democratic revolutions to the establishment of empires backed by industrial power. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s World History channel: https://www.youtube.com/channel/UC6KRvvmvkCchFMo2EJ-3Arg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Compound Interest thumb=https://i.ytimg.com/vi/-qgdMTbTJlA/default.jpg URL=http://www.youtube.com/watch?v=-qgdMTbTJlA description=Introduction to compound interest/description type=video name=Proof: Right triangles inscribed in circles | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/b0U1NxbRU4w/default.jpg URL=http://www.youtube.com/watch?v=b0U1NxbRU4w description=Proof showing that a triangle inscribed in a circle having a diameter as one side is a right triangle. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-shapes/v/hypotenuse-of-right-triangle-inscribed-in-circle?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/high-school-math/math2/math2-circles/math2-inscribed-angles/v/inscribed-and-central-angles?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area of inscribed equilateral triangle (some basic trig used) | Circles | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/UmiZK6Hgm6c/default.jpg URL=http://www.youtube.com/watch?v=UmiZK6Hgm6c description=Problem that requires us to figure out the area of an equilateral triangle inscribed in a circle (A little trigonometry used) Watch the next lesson: https://www.khanacademy.org/math/geometry/triangle-properties/perpendicular_bisectors/v/circumcenter-of-a-triangle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/cc-geometry-circles/area-inscribed-triangle/v/perpendicular-radius-bisects-chord?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inscribed angle theorem proof | High School Geometry | High School Math | Khan Academy thumb=https://i.ytimg.com/vi/MyzGVbCHh5M/default.jpg URL=http://www.youtube.com/watch?v=MyzGVbCHh5M description=Proving that an inscribed angle is half of a central angle that subtends the same arc. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-shapes/v/right-triangles-inscribed-in-circles-proof?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath Missed the previous lesson? https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-angles/v/inscribed-angles-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=highschoolmath High School Math on Khan Academy: Did you realize that the word "algebra" comes from Arabic (just like "algorithm" and "al jazeera" and "Aladdin")? And what is so great about algebra anyway? This tutorial doesn't explore algebra so much as it introduces the history and ideas that underpin it. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s High School Math channel: https://www.youtube.com/channel/UCAj83VTec-NC-g0BK8zpxzw?guided_help_flow=3?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Part 2 of proof of Heron's formula | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/nZu7IZLhJRI/default.jpg URL=http://www.youtube.com/watch?v=nZu7IZLhJRI description=Showing that the expression in part 1 is identical to Heron's Formula Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/v/circles-radius-diameter-and-circumference?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/heron_formula_tutorial/v/part-1-of-proof-of-heron-s-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Part 1 of proof of Heron's formula | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/AreOMvPCxv8/default.jpg URL=http://www.youtube.com/watch?v=AreOMvPCxv8 description=Part 1 of the proof of Heron's Formula Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/heron_formula_tutorial/v/part-2-of-the-proof-of-heron-s-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/heron_formula_tutorial/v/heron-s-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Heron's formula | Perimeter, area, and volume | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/-YI6UC4qVEY/default.jpg URL=http://www.youtube.com/watch?v=-YI6UC4qVEY description=Using Heron's Formula to determine the area of a triangle while only knowing the lengths of the sides Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/heron_formula_tutorial/v/part-1-of-proof-of-heron-s-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/koch_snowflake/v/area-of-koch-snowflake-part-2-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amplitude, period, frequency and wavelength of periodic waves | Physics | Khan Academy thumb=https://i.ytimg.com/vi/tJW_a6JeXD8/default.jpg URL=http://www.youtube.com/watch?v=tJW_a6JeXD8 description=Amplitude, period, frequency and wavelength of periodic waves. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/sound-topic/v/production-of-sound?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/mechanical-waves/v/introduction-to-waves?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Interesting Polynomial Coefficient Problem thumb=https://i.ytimg.com/vi/hypi8QPsFEk/default.jpg URL=http://www.youtube.com/watch?v=hypi8QPsFEk description=Finding the coefficients of a third degree polynomial given 2 roots and the y-intercept More free lessons at: http://www.khanacademy.org/video?v=hypi8QPsFEk/description type=video name=Introduction to waves | Mechanical waves and sound | Physics | Khan Academy thumb=https://i.ytimg.com/vi/c38H6UKt3_I/default.jpg URL=http://www.youtube.com/watch?v=c38H6UKt3_I description=Introduction to transverse and longitudinal waves. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/mechanical-waves/v/amplitude-period-frequency-and-wavelength-of-periodic-waves?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/faradays-law-for-generating-electricity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion word problem: drug dosage | Introduction to algebra | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/ScvuRb6vsz4/default.jpg URL=http://www.youtube.com/watch?v=ScvuRb6vsz4 description=Future doctors and nurses out there, take note. This unit conversion word problem deals with converting drug dosage units, something that is commonly done in hospitals. Give it a try with us. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/e/units?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/unit-conversion-with-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/introduction-to-algebra/units-algebra/v/unit-conversion-exercise-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan on CNN thumb=https://i.ytimg.com/vi/PY5VKiG_IXE/default.jpg URL=http://www.youtube.com/watch?v=PY5VKiG_IXE description=Salman Khan of the Khan Academy on CNN/description type=video name=Green's theorem example 2 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/sSyPAAyL8nQ/default.jpg URL=http://www.youtube.com/watch?v=sSyPAAyL8nQ description=Another example applying Green's Theorem Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/2d_divergence_theorem/v/constructing-a-unit-normal-vector-to-a-curve?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Green's theorem example 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/gGXnILbrhsM/default.jpg URL=http://www.youtube.com/watch?v=gGXnILbrhsM description=Using Green's Theorem to solve a line integral of a vector field Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Green's theorem proof (part 2) | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/qdFD-0OWBRo/default.jpg URL=http://www.youtube.com/watch?v=qdFD-0OWBRo description=Part 2 of the proof of Green's Theorem Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Green's theorem proof part 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/l5zJvZKfMYE/default.jpg URL=http://www.youtube.com/watch?v=l5zJvZKfMYE description=Part 1 of the proof of Green's Theorem Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/second-example-of-line-integral-of-conservative-vector-field?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Second example of line integral of conservative vector field | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/LpY8Qa3IP1w/default.jpg URL=http://www.youtube.com/watch?v=LpY8Qa3IP1w description=Using path independence of a conservative vector field to solve a line integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/greens_theorem/v/green-s-theorem-proof-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of closed line integral of conservative field | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Q9t1LghwdGc/default.jpg URL=http://www.youtube.com/watch?v=Q9t1LghwdGc description=Example of taking a closed line integral of a conservative field Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/second-example-of-line-integral-of-conservative-vector-field?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/closed-curve-line-integrals-of-conservative-vector-fields?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Closed curve line integrals of conservative vector fields | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/I2dbzp0zHuw/default.jpg URL=http://www.youtube.com/watch?v=I2dbzp0zHuw description=Showing that the line integral along closed curves of conservative vector fields is zero Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/example-of-closed-line-integral-of-conservative-field?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/path-independence-for-line-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Path independence for line integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/K_fgnCJOI8I/default.jpg URL=http://www.youtube.com/watch?v=K_fgnCJOI8I description=Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/closed-curve-line-integrals-of-conservative-vector-fields?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/vector-field-line-integrals-dependent-on-path-direction?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector field line integrals dependent on path direction | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/fuSOY9r1R6w/default.jpg URL=http://www.youtube.com/watch?v=fuSOY9r1R6w description=Showing that, unlike line integrals of scalar fields, line integrals over vector fields are path direction dependent Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/path-independence-for-line-integrals?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/scalar-field-line-integral-independent-of-path-direction?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scalar field line integral independent of path direction | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/99pD1-6ZpuM/default.jpg URL=http://www.youtube.com/watch?v=99pD1-6ZpuM description=Showing that the line integral of a scalar field is independent of path direction Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/vector-field-line-integrals-dependent-on-path-direction?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/parametrization-of-a-reverse-path?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametrization of a reverse path | Khan Academy thumb=https://i.ytimg.com/vi/eGRZKkmI_fo/default.jpg URL=http://www.youtube.com/watch?v=eGRZKkmI_fo description=Understanding how to parametrize a reverse path for the same curve. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/scalar-field-line-integral-independent-of-path-direction?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Percent word problem example 1 | Ratios, rates, and percentages | 6th grade | Khan Academy thumb=https://i.ytimg.com/vi/d1oNF88SAgg/default.jpg URL=http://www.youtube.com/watch?v=d1oNF88SAgg description=We're putting a little algebra to work to find the full price when you know the discount price in this percent word problem. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-word-problems/e/percentage_word_problems_1?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-word-problems/v/percent-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-ratios-prop-topic/cc-6th-percent-problems/v/taking-a-percentage-example?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy‰Ûªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Secondary active transport in the nephron | Renal system physiology | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/czY5nyvZ7cU/default.jpg URL=http://www.youtube.com/watch?v=czY5nyvZ7cU description=Secondary active transport in the nephron. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-renal-system/rn-renal-regulation-of-blood/v/general-overview-of-the-raas-system-cells-and-hormones?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-renal-system/rn-the-renal-system/v/the-kidney-and-nephron?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The kidney and nephron | Renal system physiology | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/cc8sUv2SuaY/default.jpg URL=http://www.youtube.com/watch?v=cc8sUv2SuaY description=Overview of how the nephrons in the kidney filter blood and reabsorb water and other molecules. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-renal-system/rn-the-renal-system/v/secondary-active-transport-in-the-nephron?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-renal-system/rn-the-renal-system/v/urination?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using a line integral to find the work done by a vector field example | Khan Academy thumb=https://i.ytimg.com/vi/AFF8FXxt5os/default.jpg URL=http://www.youtube.com/watch?v=AFF8FXxt5os description=Using a line integral to find the work done by a vector field example Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/parametrization-of-a-reverse-path?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/line-integrals-and-vector-fields?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Line integrals and vector fields | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/t3cJYNdQLYg/default.jpg URL=http://www.youtube.com/watch?v=t3cJYNdQLYg description=Using line integrals to find the work done on a particle moving through a vector field Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/using-a-line-integral-to-find-the-work-done-by-a-vector-field-example?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector valued function derivative example | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/vcwvzUVLPw0/default.jpg URL=http://www.youtube.com/watch?v=vcwvzUVLPw0 description=Concrete example of the derivative of a vector valued function to better understand what it means Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals_vectors/v/line-integrals-and-vector-fields?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/differential-of-a-vector-valued-function?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Differential of a vector valued function | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/FYMn61HLw1k/default.jpg URL=http://www.youtube.com/watch?v=FYMn61HLw1k description=Understanding the differential of a vector valued function Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/vector-valued-function-derivative-example?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/derivative-of-a-position-vector-valued-function?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative of a position vector valued function | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/E9Q_Lc0g1xE/default.jpg URL=http://www.youtube.com/watch?v=E9Q_Lc0g1xE description=Visualizing the derivative of a position vector valued function Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/differential-of-a-vector-valued-function?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/position-vector-valued-functions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Position vector valued functions | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/sBldw95xMD4/default.jpg URL=http://www.youtube.com/watch?v=sBldw95xMD4 description=Using a position vector valued function to describe a curve or path Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/derivative-of-a-position-vector-valued-function?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-2-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Line integral example 2 (part 2) | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Qqanbd3gLhw/default.jpg URL=http://www.youtube.com/watch?v=Qqanbd3gLhw description=Part 2 of an example of taking a line integral over a closed path Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/position_vector_functions/v/position-vector-valued-functions?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-2-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Line integral example 2 (part 1) | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/wyTjyQMVvc4/default.jpg URL=http://www.youtube.com/watch?v=wyTjyQMVvc4 description=Line integral over a closed path (part 1) Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-2-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Line integral example 1 | Line integrals and Green's theorem | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/uXjQ8yc9Pdg/default.jpg URL=http://www.youtube.com/watch?v=uXjQ8yc9Pdg description=Concrete example using a line integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-2-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/introduction-to-the-line-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the line integral | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/_60sKaoRmhU/default.jpg URL=http://www.youtube.com/watch?v=_60sKaoRmhU description=Introduction to the Line Integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/line-integral-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/curl-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflammatory response | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/FXSuEIMrPQk/default.jpg URL=http://www.youtube.com/watch?v=FXSuEIMrPQk description=Overview of the inflammatory response. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/introduction-to-immunology/v/rn-blood-cell-lineages?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/introduction-to-immunology/v/how-white-blood-cells-move-around?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=PBS NewsHour piece on the Khan Academy and Salman Khan thumb=https://i.ytimg.com/vi/1kly25zVbco/default.jpg URL=http://www.youtube.com/watch?v=1kly25zVbco description=PBS NewsHour piece on the Khan Academy and Salman Khan/description type=video name=PBS NewsHour on the Khan Academy thumb=https://i.ytimg.com/vi/HycjWQcAymQ/default.jpg URL=http://www.youtube.com/watch?v=HycjWQcAymQ description=PBS NewsHour piece on the Khan Academy/description type=video name=KA on PBS NewsHour this evening/afternoon thumb=https://i.ytimg.com/vi/uALqlsSf77A/default.jpg URL=http://www.youtube.com/watch?v=uALqlsSf77A description=The PBS NewsHour will be airing a piece about the Khan Academy this evening (or afternoon). Can get more information from newshour.pbs.org/description type=video name=Review of B cells, CD4+ T cells and CD8+ T cells | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/xaz5ftvZCyI/default.jpg URL=http://www.youtube.com/watch?v=xaz5ftvZCyI description=Review of B cells, CD4+ T cells and CD8+ T cells. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/clonal-selection?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/cytotoxic-t-cells?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cytotoxic T cells | Immune system physiology | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/oqI4skjr6lQ/default.jpg URL=http://www.youtube.com/watch?v=oqI4skjr6lQ description=How cytotoxic T cells get activated by MHC-I/antigen complexes and then proceed to kill infected cells. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/review-of-b-cells-cd4-t-cells-and-cd8-t-cells?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/helper-t-cells?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Helper T cells | Immune system physiology | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/uwMYpTYsNZM/default.jpg URL=http://www.youtube.com/watch?v=uwMYpTYsNZM description=Introduction to helper T cells and their role in activating B cells. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/cytotoxic-t-cells?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/professional-antigen-presenting-cells-apc-and-mhc-ii-complexes?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Professional antigen presenting cells (APC) and MHC II complexes | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/j_kSmmEpvQk/default.jpg URL=http://www.youtube.com/watch?v=j_kSmmEpvQk description=How professional antigen presenting cells present parts of engulfed pathogens on MHC II complexes. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/helper-t-cells?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/b-lymphocytes-b-cells?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=B lymphocytes (B cells) | Immune system physiology | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/Z36dUduOk1Y/default.jpg URL=http://www.youtube.com/watch?v=Z36dUduOk1Y description=Overview of B cells (B lymphocytes) and how they are activated and produce antibodies. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/professional-antigen-presenting-cells-apc-and-mhc-ii-complexes?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/types-of-immune-responses-innate-and-adaptive-humoral-vs-cell-mediated?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Types of immune responses: Innate and adaptive, humoral vs. cell-mediated | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/rp7T4IItbtM/default.jpg URL=http://www.youtube.com/watch?v=rp7T4IItbtM description=Innate vs. adaptive immunity. Humoral adaptive immunity vs. cell-mediated adaptive immunity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/b-lymphocytes-b-cells?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/role-of-phagocytes-in-innate-or-nonspecific-immunity?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Role of phagocytes in innate or nonspecific immunity | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/O1N2rENXq_Y/default.jpg URL=http://www.youtube.com/watch?v=O1N2rENXq_Y description=Role of phagocytes in innate or nonspecific immunity. Neutrophils, macrophages, and dendritic cells. MHC II. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-immune-system/rn-the-immune-system/v/types-of-immune-responses-innate-and-adaptive-humoral-vs-cell-mediated?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-lymphatic-system/rn-the-lymphatic-system/v/what-is-lymph?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Anatomy of a muscle cell thumb=https://i.ytimg.com/vi/uY2ZOsCnXIA/default.jpg URL=http://www.youtube.com/watch?v=uY2ZOsCnXIA description=Understanding the structure of a muscle cell More free lessons at: http://www.khanacademy.org/video?v=uY2ZOsCnXIA/description type=video name=Role of the sarcoplasmic reticulum in muscle cells | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/SauhB2fYQkM/default.jpg URL=http://www.youtube.com/watch?v=SauhB2fYQkM description=The role of the sarcoplasmic reticulum in controlling calcium ion concentrations within the muscle cell. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-muscular-system/rn-the-muscular-system/v/anatomy-of-a-muscle-cell-1?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/rn-muscular-system/rn-the-muscular-system/v/tropomyosin-and-troponin-and-their-role-in-regulating-muscle-contraction?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How tropomyosin and troponin regulate muscle contraction | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/LiOfeSsjrB8/default.jpg URL=http://www.youtube.com/watch?v=LiOfeSsjrB8 description=How calcium ion concentration dictates whether a muscle contracts or not. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/nclex-rn-circulatory-system/heart-muscle-contraction-ddp/v/three-types-of-muscle?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/nclex-rn-circulatory-system/arterial-stiffness-ddp/v/compliance-increased-blood-flow?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Myosin and actin | Circulatory system physiology | NCLEX-RN | Khan Academy thumb=https://i.ytimg.com/vi/zopoN2i7ALQ/default.jpg URL=http://www.youtube.com/watch?v=zopoN2i7ALQ description=How myosin and actin interact to produce mechanical force. . Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/nclex-rn-circulatory-system/heart-muscle-contraction-ddp/v/calcium-puts-myosin-to-work?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-prep/nclex-rn/nclex-rn-circulatory-system/heart-muscle-contraction-ddp/v/heart-cells-up-close?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn NCLEX-RN on Khan Academy: A collection of questions from content covered on the NCLEX-RN. These questions are available under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License (available at http://creativecommons.org/licenses/by-nc-sa/3.0/us/). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s NCLEX-RN channel: https://www.youtube.com/channel/UCDx5cTeADCvKWgF9x_Qjz3g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan interview with NPR's All Things Considered on 12/28/2009 thumb=https://i.ytimg.com/vi/po3DAsr6mDE/default.jpg URL=http://www.youtube.com/watch?v=po3DAsr6mDE description=Salman Khan interview with NPR's All Things Considered on 12/28/2009/description type=video name=Neuronal synapses (chemical) | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/Tbq-KZaXiL4/default.jpg URL=http://www.youtube.com/watch?v=Tbq-KZaXiL4 description=How one neuron can stimulate (or inhibit) another neuron at a chemical synapse. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/types-of-neurotransmitters?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/synapse-structure?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electrotonic and Action Potentials thumb=https://i.ytimg.com/vi/gkQtRec2464/default.jpg URL=http://www.youtube.com/watch?v=gkQtRec2464 description=How electrotonic and action potentials propagate down cells/description type=video name=Sodium-potassium pump | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/C_H-ONQFjpQ/default.jpg URL=http://www.youtube.com/watch?v=C_H-ONQFjpQ description=How a sodium potassium pump can maintain a voltage gradient across a cell or neuron's membrane. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/transport-across-a-cell-membrane/v/secondary-active-transport-in-the-nephron?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/transport-across-a-cell-membrane/v/glomerular-filtration-in-the-nephron?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Anatomy of a neuron | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/ob5U8zPbAX4/default.jpg URL=http://www.youtube.com/watch?v=ob5U8zPbAX4 description=Neurons (or nerve cells) are specialized cells that transmit and receive electrical signals in the body. Neurons are composed of three main parts: dendrites, a cell body, and an axon. Signals are received through the dendrites, travel to the cell body, and continue down the axon until they reach the synapse (the communication point between two neurons). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/overview-of-neuron-structure?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/nervous-system-introduction/v/introduction-to-neural-cell-types?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hemoglobin | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/LWtXthfG9_M/default.jpg URL=http://www.youtube.com/watch?v=LWtXthfG9_M description=Hemoglobin and its role in the circulatory system. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/introduction-to-hematologic/v/hemoglobin-moves-o2-and-co2?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/introduction-to-hematologic/v/the-life-and-times-of-rbcs-and-platelets?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Circulatory system and the heart | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/QhiVnFvshZg/default.jpg URL=http://www.youtube.com/watch?v=QhiVnFvshZg description=Introduction to the circulatory system and the heart. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/lung-introduction/v/meet-the-lungs?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/heart-introduction/v/arteries-arterioles-venules-and-veins?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Red blood cells | Human anatomy and physiology | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/fLKOBQ6cZHA/default.jpg URL=http://www.youtube.com/watch?v=fLKOBQ6cZHA description=Oxygen uptake by hemoglobin in red blood cells. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/introduction-to-hematologic/v/blood-types?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/human-anatomy-and-physiology/introduction-to-hematologic/v/what-s-inside-of-blood?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The lungs and pulmonary system | Health & Medicine | Khan Academy thumb=https://i.ytimg.com/vi/SPGRkexI_cs/default.jpg URL=http://www.youtube.com/watch?v=SPGRkexI_cs description=The pulmonary system including the lungs, larynx, trachea, bronchi, bronchioles, alveoli and thoracic diaphragm. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/health-and-medicine/respiratory-system/gas-exchange-jv/v/alveolar-gas-equation-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Missed the previous lesson? https://www.khanacademy.org/science/health-and-medicine/respiratory-system/respiratory-system-introduction/v/thermoregulation-in-the-lungs?utm_source=YT&utm_medium=Desc&utm_campaign=healthandmedicine Health & Medicine on Khan Academy: No organ quite symbolizes love like the heart. One reason may be that your heart helps you live, by moving ~5 liters (1.3 gallons) of blood through almost 100,000 kilometers (62,000 miles) of blood vessels every single minute! It has to do this all day, everyday, without ever taking a vacation! Now that is true love. Learn about how the heart works, how blood flows through the heart, where the blood goes after it leaves the heart, and what your heart is doing when it makes the sound “Lub Dub.” About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Health & Medicine channel: https://www.youtube.com/channel/UC1RAowgA3q8Gl7exSWJuDEw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Salman Khan talk at Castilleja School on January 5th, 2010 thumb=https://i.ytimg.com/vi/VsS7bo3JMqk/default.jpg URL=http://www.youtube.com/watch?v=VsS7bo3JMqk description=Salman Khan talk at Castilleja School in Palo Alto, CA on January 5th, 2010/description type=video name=Diffusion and osmosis | Membranes and transport | Biology | Khan Academy thumb=https://i.ytimg.com/vi/aubZU0iWtgI/default.jpg URL=http://www.youtube.com/watch?v=aubZU0iWtgI description=Learn about diffusion, osmosis, and concentration gradients and why these are important to cells. Watch the next lesson: https://www.khanacademy.org/science/biology/membranes-and-transport/passive-transport/v/passive-transport-and-selective-permeability?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/membranes-and-transport/diffusion-and-osmosis/v/hypotonic-isotonic-and-hypertonic-solutions-tonicity?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parts of a cell thumb=https://i.ytimg.com/vi/Hmwvj9X4GNY/default.jpg URL=http://www.youtube.com/watch?v=Hmwvj9X4GNY description=Parts of a cell: nucleus, ribosomes, endoplasmic reticulum, Golgi bodies, mitochondria, chloroplasts, vacuoles, and vesicles About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Rational inequalities 2 | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/2RnS3fSHVV8/default.jpg URL=http://www.youtube.com/watch?v=2RnS3fSHVV8 description=Slightly harder rational inequality problem Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/asymptotes-graphing-rational/v/asymptotes-of-rational-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/rational-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rational inequalities | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ZjeMdXV0QMg/default.jpg URL=http://www.youtube.com/watch?v=ZjeMdXV0QMg description=Two ways to solve a rational inequality (or an inequality involving a fractional expression) Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/rational-inequalities-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/rational_funcs_tutorial/v/extraneous-solutions-to-rational-equations?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAM Plants thumb=https://i.ytimg.com/vi/xp6Zj24h8uA/default.jpg URL=http://www.youtube.com/watch?v=xp6Zj24h8uA description=How CAM Plants are able to fix carbon at night so they don't have to keep their stomata open during the day More free lessons at: http://www.khanacademy.org/video?v=xp6Zj24h8uA/description type=video name=C-4 Photosynthesis thumb=https://i.ytimg.com/vi/7ynX_F-SwNY/default.jpg URL=http://www.youtube.com/watch?v=7ynX_F-SwNY description=C-4 Photosynthesis: How some plants avoid photorespiration More free lessons at: http://www.khanacademy.org/video?v=7ynX_F-SwNY/description type=video name=Photorespiration thumb=https://i.ytimg.com/vi/EQvTEFCANTM/default.jpg URL=http://www.youtube.com/watch?v=EQvTEFCANTM description=More detail on the Calvin Cycle and Photorespiration More free lessons at: http://www.khanacademy.org/video?v=EQvTEFCANTM/description type=video name=Photosynthesis: Calvin Cycle thumb=https://i.ytimg.com/vi/slm6D2VEXYs/default.jpg URL=http://www.youtube.com/watch?v=slm6D2VEXYs description=The Calvin Cycle or the light-independent (dark) reactions of photosythesis More free lessons at: http://www.khanacademy.org/video?v=slm6D2VEXYs/description type=video name=Photosynthesis: Light Reactions and Photophosphorylation thumb=https://i.ytimg.com/vi/yfR36PMWegg/default.jpg URL=http://www.youtube.com/watch?v=yfR36PMWegg description=More detail on the light reactions and photophorylation More free lessons at: http://www.khanacademy.org/video?v=yfR36PMWegg/description type=video name=Photosynthesis: Light Reactions 1 thumb=https://i.ytimg.com/vi/GR2GA7chA_c/default.jpg URL=http://www.youtube.com/watch?v=GR2GA7chA_c description=Details on the light-dependent reactions of photosynthesis More free lessons at: http://www.khanacademy.org/video?v=GR2GA7chA_c/description type=video name=Photosynthesis thumb=https://i.ytimg.com/vi/-rsYk4eCKnA/default.jpg URL=http://www.youtube.com/watch?v=-rsYk4eCKnA description=Overview of photosythesis More free lessons at: http://www.khanacademy.org/video?v=-rsYk4eCKnA About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Sal Khan Interview with IT Conversations - January 31,2010 thumb=https://i.ytimg.com/vi/1uf_DeazfZg/default.jpg URL=http://www.youtube.com/watch?v=1uf_DeazfZg description=Interview with IT Conversations - January 31,2010/description type=video name=Sampling distribution of the sample mean | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/FXZ2O1Lv-KE/default.jpg URL=http://www.youtube.com/watch?v=FXZ2O1Lv-KE description=The central limit theorem and the sampling distribution of the sample mean Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/sampling-distribution-of-the-sample-mean-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/central-limit-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Central limit theorem | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/JNm3M9cqWyc/default.jpg URL=http://www.youtube.com/watch?v=JNm3M9cqWyc description=Introduction to the central limit theorem and the sampling distribution of the mean Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/sampling-distribution-of-the-sample-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-more-empirical-rule-and-z-score-practice?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Standard error of the mean | Inferential statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/J1twbrHel3o/default.jpg URL=http://www.youtube.com/watch?v=J1twbrHel3o description=Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!) Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/sampling-distribution-example-problem?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/sampling-distribution-of-the-sample-mean-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sampling distribution of the sample mean 2 | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/NYd6wzYkQIM/default.jpg URL=http://www.youtube.com/watch?v=NYd6wzYkQIM description=More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/standard-error-of-the-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/sampling-distribution-of-the-sample-mean?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electrostatics (part 1): Introduction to Charge and Coulomb's Law thumb=https://i.ytimg.com/vi/NXMgvrS8Gr8/default.jpg URL=http://www.youtube.com/watch?v=NXMgvrS8Gr8 description=Introduction to Charge and Coulomb's Law (video from May 2008 that I forgot to upload) More free lessons at: http://www.khanacademy.org/video?v=NXMgvrS8Gr8/description type=video name=Another example graphing with derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/zC_dTaEY2AY/default.jpg URL=http://www.youtube.com/watch?v=zC_dTaEY2AY description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/e/concavity-and-the-second-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/calc_optimization/v/minimizing-sum-of-squares?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/v/calculus-graphing-using-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/hIgnece9ins/default.jpg URL=http://www.youtube.com/watch?v=hIgnece9ins description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/e/concavity-and-the-second-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/v/calculus-graphing-with-derivatives-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/concavity-inflection-points/v/inflection-points?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflection Points and Concavity Intuition thumb=https://i.ytimg.com/vi/dIE22eL6q90/default.jpg URL=http://www.youtube.com/watch?v=dIE22eL6q90 description=Understanding concave upwards and downwards portions of graphs and the relation to the derivative. Inflection point intuition/description type=video name=Dividing numbers: long division with remainders | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/NcADzGz3bSI/default.jpg URL=http://www.youtube.com/watch?v=NcADzGz3bSI description=Here we go with more long division practice. Ever wonder why we call it "long" division? What's "long" about it, anyway? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/e/division_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/dividing-by-a-two-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/long-division-with-remainder-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to long division | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/8Ft5iHhauJ0/default.jpg URL=http://www.youtube.com/watch?v=8Ft5iHhauJ0 description=Dividing into larger numbers. Introduction to long division without remainders Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/e/division_1.5?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/introduction-to-remainders?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplication-7-old-video-giving-more-examples?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Division 1 | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/MTzTqvzWzm8/default.jpg URL=http://www.youtube.com/watch?v=MTzTqvzWzm8 description=Introduction to division Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/delightful_division/e/division_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/delightful_division/v/dividing-whole-numbers-and-applications-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/multiplication-3-10-11-12-times-tables?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternate mental subtraction method | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/GBtcGO44e-A/default.jpg URL=http://www.youtube.com/watch?v=GBtcGO44e-A description=How I subtract in my head Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/e/subtraction_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/regrouping-borrowing-twice-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/borrowing-once-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subtraction 3: Introduction to Borrowing or Regrouping thumb=https://i.ytimg.com/vi/ZaqOUE3H1mE/default.jpg URL=http://www.youtube.com/watch?v=ZaqOUE3H1mE description=Introduction to borrowing and regrouping/description type=video name=Subtraction 2 | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/incKJchBCLo/default.jpg URL=http://www.youtube.com/watch?v=incKJchBCLo description=Different ways to view subtraction Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub/e/subtraction_2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub/v/subtracting-within-20?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub/v/adding-whole-numbers-and-applications-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition 4 | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/fOXo4p4WDKM/default.jpg URL=http://www.youtube.com/watch?v=fOXo4p4WDKM description=More practice carrying with multiple digit numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/e/addition_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/sub_borrowing/v/subtracting-2-digit-numbers-without-regrouping?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/v/example-adding-with-carrying?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Addition 3 thumb=https://i.ytimg.com/vi/e_SpXIw_Qts/default.jpg URL=http://www.youtube.com/watch?v=e_SpXIw_Qts description=Practice carrying digits to add multiple digit numbers/description type=video name=Addition 2 thumb=https://i.ytimg.com/vi/t2L3JFOqTEk/default.jpg URL=http://www.youtube.com/watch?v=t2L3JFOqTEk description=Adding 2-digit numbers/description type=video name=ck12.org: More empirical rule and z-score practice | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/itQEwESWDKg/default.jpg URL=http://www.youtube.com/watch?v=itQEwESWDKg description=Using the Empirical Rule with a standard normal distribution Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/e/z_scores_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/sampling_distribution/v/central-limit-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-exercise-standard-normal-distribution-and-the-empirical-rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=k12.org exercise: Standard normal distribution and the empirical | Khan Academy thumb=https://i.ytimg.com/vi/2fzYE-Emar0/default.jpg URL=http://www.youtube.com/watch?v=2fzYE-Emar0 description=Using the Empirical Rule with a standard normal distribution Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/e/empirical_rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-more-empirical-rule-and-z-score-practice?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-normal-distribution-problems-z-score?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ck12.org normal distribution problems: Empirical rule | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/OhRr26AfFBU/default.jpg URL=http://www.youtube.com/watch?v=OhRr26AfFBU description=Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/e/empirical_rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-normal-distribution-problems-z-score?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-normal-distribution-problems-qualitative-sense-of-normal-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ck12.org normal distribution problems: z-score | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Wp2nVIzBsE8/default.jpg URL=http://www.youtube.com/watch?v=Wp2nVIzBsE8 description=Z-score practice Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/e/empirical_rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-exercise-standard-normal-distribution-and-the-empirical-rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-normal-distribution-problems-empirical-rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ck12.org normal distribution problems: Qualitative sense of normal distributions | Khan Academy thumb=https://i.ytimg.com/vi/79duxPXpyKQ/default.jpg URL=http://www.youtube.com/watch?v=79duxPXpyKQ description=Discussion of how "normal" a distribution might be Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/e/empirical_rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-normal-distribution-problems-empirical-rule?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/normal-distribution-excel-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another potential interview over skype (for people in any city) thumb=https://i.ytimg.com/vi/XBwvUa73B_0/default.jpg URL=http://www.youtube.com/watch?v=XBwvUa73B_0 description=In addition to the previous request for people in New Delhi, Hong Kong, Dubai, or Bangkok, another news organization would like to conduct a skype interview with people living anywhere. Please email me if you're interested./description type=video name=Talk to News in New Delhi, Hong Kong, Bangkok or Dubai thumb=https://i.ytimg.com/vi/ARLRq3vWUbg/default.jpg URL=http://www.youtube.com/watch?v=ARLRq3vWUbg description=If you've found the Khan Academy useful and live in New Delhi, Hong Kong, Bangkok or Dubai, send me a message and an international news organization might show up at your house in the next day or two. Please contact me by 1/5/2020/description type=video name=MTEL Math Practice Test: 31-35 thumb=https://i.ytimg.com/vi/JGeqb4VloPg/default.jpg URL=http://www.youtube.com/watch?v=JGeqb4VloPg description=MTEL Math Practice Test: 31-35/description type=video name=MTEL Math Practice Test: 36-40 thumb=https://i.ytimg.com/vi/tIEGPkZVUj8/default.jpg URL=http://www.youtube.com/watch?v=tIEGPkZVUj8 description=MTEL Math Practice Test: 36-40/description type=video name=MTEL Math Practice Test: 41-45 thumb=https://i.ytimg.com/vi/4bIqWXStPEI/default.jpg URL=http://www.youtube.com/watch?v=4bIqWXStPEI description=MTEL Math Practice Test: 41-45/description type=video name=MTEL Math Practice Test: 28-30 thumb=https://i.ytimg.com/vi/I3yhRywRCaQ/default.jpg URL=http://www.youtube.com/watch?v=I3yhRywRCaQ description=MTEL Math Practice Test: 28-30/description type=video name=MTEL Math Practice Test: 24-27 thumb=https://i.ytimg.com/vi/mG94FpywnZw/default.jpg URL=http://www.youtube.com/watch?v=mG94FpywnZw description=MTEL Math Practice Test: 24-27/description type=video name=MTEL Math Practice Test: 20-23 thumb=https://i.ytimg.com/vi/RnJEqQdfkCM/default.jpg URL=http://www.youtube.com/watch?v=RnJEqQdfkCM description=MTEL Math Practice Test: 20-23/description type=video name=MTEL Math Practice Test: 12 -15 thumb=https://i.ytimg.com/vi/BSVUG-F6W1Y/default.jpg URL=http://www.youtube.com/watch?v=BSVUG-F6W1Y description=MTEL Math Practice Test: 12-15/description type=video name=MTEL Math Practice Test: 16-19 thumb=https://i.ytimg.com/vi/nIGAejpOaII/default.jpg URL=http://www.youtube.com/watch?v=nIGAejpOaII description=MTEL Math Practice Test: 16-19/description type=video name=MTEL Math Practice Test: 9-11 thumb=https://i.ytimg.com/vi/kE95P0oXXSw/default.jpg URL=http://www.youtube.com/watch?v=kE95P0oXXSw description=MTEL Math Practice Test: 9-11/description type=video name=MTEL Math Practice Test: 5-8 thumb=https://i.ytimg.com/vi/fjPvQoShHYc/default.jpg URL=http://www.youtube.com/watch?v=fjPvQoShHYc description=MTEL Math Practice Test: 5-8/description type=video name=MTEL Math Practice Test: 1-4 thumb=https://i.ytimg.com/vi/VSnaItss8Xc/default.jpg URL=http://www.youtube.com/watch?v=VSnaItss8Xc description=MTEL Math Practice Test: 1-4/description type=video name=Why lattice multiplication works | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/S3z4XqC_YSc/default.jpg URL=http://www.youtube.com/watch?v=S3z4XqC_YSc description=Understanding why lattice multiplication works Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/partial_quotient_division/v/partial-quotient-division?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/lattice_multiplication/v/lattice-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Lattice multiplication | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/gS6TfWUv97I/default.jpg URL=http://www.youtube.com/watch?v=gS6TfWUv97I description=Introduction to lattice multiplication Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/lattice_multiplication/v/why-lattice-multiplication-works?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/dividing-by-a-two-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Khan Academy thumb=https://i.ytimg.com/vi/p6l8-1kHUsA/default.jpg URL=http://www.youtube.com/watch?v=p6l8-1kHUsA description=Short overview video about the Khan Academy as a recipient of the 2009 Microsoft Tech Award in Education/description type=video name=Oxidative Phosphorylation and Chemiosmosis thumb=https://i.ytimg.com/vi/W_Q17tqw_7A/default.jpg URL=http://www.youtube.com/watch?v=W_Q17tqw_7A description=Oxidative Phosphorylation and Chemiosmosis (along with slight correction of previous video) More free lessons at: http://www.khanacademy.org/video?v=W_Q17tqw_7A/description type=video name=Electron Transport Chain thumb=https://i.ytimg.com/vi/mfgCcFXUZRk/default.jpg URL=http://www.youtube.com/watch?v=mfgCcFXUZRk description=Overview of the Electron Transport Chain More free lessons at: http://www.khanacademy.org/video?v=mfgCcFXUZRk About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Krebs / citric acid cycle | Cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/juM2ROSLWfw/default.jpg URL=http://www.youtube.com/watch?v=juM2ROSLWfw description=Overview of the Krebs or Citric Acid Cycle Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/oxidative-phosphorylation/v/oxidative-phosphorylation-and-the-electon-transport-chain?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/glycolysis/v/glycolysis-overview?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of glycolysis | Cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/FE2jfTXAJHg/default.jpg URL=http://www.youtube.com/watch?v=FE2jfTXAJHg description=Overview of the basics of glycolysis. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/glycolysis/v/glycolysis-overview?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/overview-of-cellular-respiration-steps/v/overview-of-cellular-respiration?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Oxidation and reduction in cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/_KyyVhlUDNU/default.jpg URL=http://www.youtube.com/watch?v=_KyyVhlUDNU description=Oxidation and reduction in cellular respiration. Reconciling the biology and chemistry definitions of oxidation and reduction. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/overview-of-cellular-respiration-steps/v/overview-of-cellular-respiration?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/intro-to-cellular-respiration/v/oxidation-and-reduction-from-biological-view?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Oxidation and reduction review from biological point-of-view | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/orI2m6IarJg/default.jpg URL=http://www.youtube.com/watch?v=orI2m6IarJg description=Taking a look at oxidation and reduction in a biological context. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/overview-metabolism/v/oxidation-and-reduction-in-metabolism?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/overview-metabolism/v/atp-hydrolysis-transfer-of-a-phosphate-group?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to cellular respiration | Cellular respiration | Biology | Khan Academy thumb=https://i.ytimg.com/vi/2f7YwCtHcgk/default.jpg URL=http://www.youtube.com/watch?v=2f7YwCtHcgk description=Introduction to cellular respiration, including glycolysis, the Krebs Cycle, and the electron transport chain. Watch the next lesson: https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/intro-to-cellular-respiration/v/oxidation-and-reduction-from-biological-view?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/cellular-respiration-and-fermentation/intro-to-cellular-respiration/v/atp-hydrolysis-mechanism?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ATP: Adenosine Triphosphate thumb=https://i.ytimg.com/vi/YQfWiDlFEcA/default.jpg URL=http://www.youtube.com/watch?v=YQfWiDlFEcA description=Introduction to ATP or Adenosine Triphosphate/description type=video name=CAHSEE practice: Problems 47-51 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/ENg2ajvKYss/default.jpg URL=http://www.youtube.com/watch?v=ENg2ajvKYss description=CAHSEE Practice: Problems 47-51. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-52-53?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-43-46?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 28-31 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/6Sy4E_8Psos/default.jpg URL=http://www.youtube.com/watch?v=6Sy4E_8Psos description=CAHSEE Practice: Problems 28-31. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-32-34?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-23-27?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 52-53 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/FdD0Wu032R4/default.jpg URL=http://www.youtube.com/watch?v=FdD0Wu032R4 description=CAHSEE Practice: Problems 52-53. Created by Sal Khan. This is the last video in our CAHSEE subject! Now move on to our first video in AP Art Histroy: https://www.khanacademy.org/humanities/art-history-basics/beginners-art-history/v/why-look-at-art?utm_source=YT&utm_medium=Desc&utm_campaign=APAryHistory Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-47-51?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 43-46 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/_rof2ExUzOU/default.jpg URL=http://www.youtube.com/watch?v=_rof2ExUzOU description=CAHSEE Practice: Problems 43-46. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-47-51?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-38-42?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 38-42 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/_qB9JCpr8Co/default.jpg URL=http://www.youtube.com/watch?v=_qB9JCpr8Co description=CAHSEE Practice: Problems 38-42. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-43-46?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-35-37?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 35-37 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/3A305Mhtkug/default.jpg URL=http://www.youtube.com/watch?v=3A305Mhtkug description=CAHSEE Practice: Problems 35-37. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-38-42?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-32-34?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 23-27 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/glumochcaw0/default.jpg URL=http://www.youtube.com/watch?v=glumochcaw0 description=CAHSEE Practice: Problems 23-27. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-28-31?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-20-22?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 32-34 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/1k-jqxMuUaM/default.jpg URL=http://www.youtube.com/watch?v=1k-jqxMuUaM description=CAHSEE Practice: Problems 32-34. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-35-37?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-28-31?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 20-22 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/ceM2u6IABWU/default.jpg URL=http://www.youtube.com/watch?v=ceM2u6IABWU description=CAHSEE Practice: Problems 20-22. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-23-27?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-17-19?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 17-19 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/ah39bUxYDEg/default.jpg URL=http://www.youtube.com/watch?v=ah39bUxYDEg description=CAHSEE Practice: Problems 17-19. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-20-22?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-15-16?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 15-16 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/MwdwuDy0rRs/default.jpg URL=http://www.youtube.com/watch?v=MwdwuDy0rRs description=CAHSEE Practice: Problems 15-16. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-17-19?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-13-14?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 10-12 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/4PIn_9cxefI/default.jpg URL=http://www.youtube.com/watch?v=4PIn_9cxefI description=CAHSEE Practice: Problems 10-12. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-13-14?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-4-9?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 4-9 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/i1CSuZdIu98/default.jpg URL=http://www.youtube.com/watch?v=i1CSuZdIu98 description=7-11, pg. 153. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-10-12?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-1-3?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 13-14 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/9xwAPXM0Flg/default.jpg URL=http://www.youtube.com/watch?v=9xwAPXM0Flg description=CAHSEE Practice: Problems 10-12. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-15-16?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE Missed the previous lesson? https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-4-9?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CAHSEE practice: Problems 1-3 | CAHSEE | Khan Academy thumb=https://i.ytimg.com/vi/_yv3BrPt-cs/default.jpg URL=http://www.youtube.com/watch?v=_yv3BrPt-cs description=CAHSEE Practice: Problems 1-3. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/cahsee-subject/cahsee/v/cahsee-practice-problems-4-9?utm_source=YT&utm_medium=Desc&utm_campaign=CAHSEE CAHSEE on Khan Academy: Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s CAHSEE channel: https://www.youtube.com/channel/UCeNU9WvOlPkpBfwDcvWg4ZQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Showing that an eigenbasis makes for good coordinate systems | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/C2PC9185gIw/default.jpg URL=http://www.youtube.com/watch?v=C2PC9185gIw description=Showing that an eigenbasis makes for good coordinate systems This is the last video in our linear algebra subject! Now move on to our first video in recreational math: https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-1-of-3?utm_source=YT&utm_medium=Desc&utm_campaign=recreationalmath Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-eigenvectors-and-eigenspaces-for-a-3x3-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Eigenvectors and eigenspaces for a 3x3 matrix | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3Md5KCCQX-0/default.jpg URL=http://www.youtube.com/watch?v=3Md5KCCQX-0 description=Eigenvectors and eigenspaces for a 3x3 matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-showing-that-an-eigenbasis-makes-for-good-coordinate-systems?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-eigenvalues-of-a-3x3-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Eigenvalues of a 3x3 matrix | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/11dNghWC4HI/default.jpg URL=http://www.youtube.com/watch?v=11dNghWC4HI description=Determining the eigenvalues of a 3x3 matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-eigenvectors-and-eigenspaces-for-a-3x3-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-finding-eigenvectors-and-eigenspaces-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding eigenvectors and eigenspaces example | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/3-xfmbdzkqc/default.jpg URL=http://www.youtube.com/watch?v=3-xfmbdzkqc description=Finding the eigenvectors and eigenspaces of a 2x2 matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-eigenvalues-of-a-3x3-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-example-solving-for-the-eigenvalues-of-a-2x2-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example solving for the eigenvalues of a 2x2 matrix | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/pZ6mMVEE89g/default.jpg URL=http://www.youtube.com/watch?v=pZ6mMVEE89g description=Example solving for the eigenvalues of a 2x2 matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-finding-eigenvectors-and-eigenspaces-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-proof-of-formula-for-determining-eigenvalues?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of formula for determining eigenvalues | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/rfm0wQObxjk/default.jpg URL=http://www.youtube.com/watch?v=rfm0wQObxjk description=Proof of formula for determining Eigenvalues Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-example-solving-for-the-eigenvalues-of-a-2x2-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-introduction-to-eigenvalues-and-eigenvectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to eigenvalues and eigenvectors | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PhfbEr2btGQ/default.jpg URL=http://www.youtube.com/watch?v=PhfbEr2btGQ description=What eigenvectors and eigenvalues are and why they are interesting Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-proof-of-formula-for-determining-eigenvalues?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-gram-schmidt-example-with-3-basis-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gram-Schmidt example with 3 basis vectors | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ZRRG386v6DI/default.jpg URL=http://www.youtube.com/watch?v=ZRRG386v6DI description=Gram-Schmidt example with 3 basis vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-introduction-to-eigenvalues-and-eigenvectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-gram-schmidt-process-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gram-Schmidt process example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tu1GPtfsQ7M/default.jpg URL=http://www.youtube.com/watch?v=tu1GPtfsQ7M description=Using Gram-Schmidt to find an orthonormal basis for a plane in R3 Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-gram-schmidt-example-with-3-basis-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-the-gram-schmidt-process?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The Gram-Schmidt process | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/rHonltF77zI/default.jpg URL=http://www.youtube.com/watch?v=rHonltF77zI description=Finding an orthonormal basis for a subspace using the Gram-Schmidt Process Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-gram-schmidt-process-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-orthogonal-matrices-preserve-angles-and-lengths?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Orthogonal matrices preserve angles and lengths | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/yDwIfYjKEeo/default.jpg URL=http://www.youtube.com/watch?v=yDwIfYjKEeo description=Showing that orthogonal matrices preserve angles and lengths Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-the-gram-schmidt-process?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example using orthogonal change-of-basis matrix to find transformation matrix | Khan Academy thumb=https://i.ytimg.com/vi/gfVY7cW7VLQ/default.jpg URL=http://www.youtube.com/watch?v=gfVY7cW7VLQ description=Example using orthogonal change-of-basis matrix to find transformation matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-orthogonal-matrices-preserve-angles-and-lengths?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-finding-projection-onto-subspace-with-orthonormal-basis-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projections onto subspaces with orthonormal bases | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/we829K4NOq8/default.jpg URL=http://www.youtube.com/watch?v=we829K4NOq8 description=Projections onto subspaces with orthonormal bases Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-finding-projection-onto-subspace-with-orthonormal-basis-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-coordinates-with-respect-to-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding projection onto subspace with orthonormal basis example | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/SUoqA9srY1Q/default.jpg URL=http://www.youtube.com/watch?v=SUoqA9srY1Q description=Example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-example-using-orthogonal-change-of-basis-matrix-to-find-transformation-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-projections-onto-subspaces-with-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinates with respect to orthonormal bases | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/SWbis2zWIvo/default.jpg URL=http://www.youtube.com/watch?v=SWbis2zWIvo description=Seeing that orthonormal bases make for good coordinate systems Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/lin-alg-projections-onto-subspaces-with-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-introduction-to-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to orthonormal bases | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/7BFx8pt2aTQ/default.jpg URL=http://www.youtube.com/watch?v=7BFx8pt2aTQ description=Looking at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-coordinates-with-respect-to-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-changing-coordinate-systems-to-help-find-a-transformation-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Changing coordinate systems to help find a transformation matrix | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/K_na_j1Msfg/default.jpg URL=http://www.youtube.com/watch?v=K_na_j1Msfg description=Changing our coordinate system to find the transformation matrix with respect to standard coordinates Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthonormal_basis/v/linear-algebra-introduction-to-orthonormal-bases?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-alternate-basis-tranformation-matrix-example-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternate basis transformation matrix example part 2 | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/EyORbCPUAd4/default.jpg URL=http://www.youtube.com/watch?v=EyORbCPUAd4 description=Showing that the transformation matrix with respect to basis B actually works. Brief point on why someone would want to operate in a different basis to begin with. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-changing-coordinate-systems-to-help-find-a-transformation-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-alternate-basis-tranformation-matrix-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternate basis transformation matrix example | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lCRGNykWqFI/default.jpg URL=http://www.youtube.com/watch?v=lCRGNykWqFI description=Example of finding the transformation matrix for an alternate basis Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-alternate-basis-tranformation-matrix-example-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-transformation-matrix-with-respect-to-a-basis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transformation matrix with respect to a basis | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PiuhTj0zCf4/default.jpg URL=http://www.youtube.com/watch?v=PiuhTj0zCf4 description=Finding the transformation matrix with respect to a non-standard basis Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-alternate-basis-tranformation-matrix-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-invertible-change-of-basis-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Invertible change of basis matrix | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/meibWcbGqt4/default.jpg URL=http://www.youtube.com/watch?v=meibWcbGqt4 description=Using an invertible change of basis matrix to go between different coordinate systems Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-transformation-matrix-with-respect-to-a-basis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/linear-algebra-change-of-basis-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Change of basis matrix | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/1j5WnqwMdCk/default.jpg URL=http://www.youtube.com/watch?v=1j5WnqwMdCk description=Using a change of basis matrix to get us from one coordinate system to another. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/lin-alg-invertible-change-of-basis-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/linear-algebra-coordinates-with-respect-to-a-basis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Coordinates with respect to a basis | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/uvgru6FcyxU/default.jpg URL=http://www.youtube.com/watch?v=uvgru6FcyxU description=Understanding alternate coordinate systems Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/linear-algebra-change-of-basis-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-another-least-squares-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Least squares examples | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/8mAZYv5wIcE/default.jpg URL=http://www.youtube.com/watch?v=8mAZYv5wIcE description=An example using the least squares solution to an unsolvable system Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-another-least-squares-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-least-squares-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another least squares example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QkepM8Vv3kw/default.jpg URL=http://www.youtube.com/watch?v=QkepM8Vv3kw description=Using least squares approximation to fit a line to points Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/change_of_basis/v/linear-algebra-coordinates-with-respect-to-a-basis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-least-squares-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Least squares approximation | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/MC7l96tW8V8/default.jpg URL=http://www.youtube.com/watch?v=MC7l96tW8V8 description=The least squares approximation for otherwise unsolvable equations Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-least-squares-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-alg-projection-is-closest-vector-in-subspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projection is closest vector in subspace | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/b269qpILOpk/default.jpg URL=http://www.youtube.com/watch?v=b269qpILOpk description=Showing that the projection of x onto a subspace is the closest vector in the subspace to x Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-least-squares-approximation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/lin-alg-another-example-of-a-projection-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another example of a projection matrix | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/XhCSHu6dHb8/default.jpg URL=http://www.youtube.com/watch?v=XhCSHu6dHb8 description=Figuring out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-alg-projection-is-closest-vector-in-subspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-subspace-projection-matrix-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Subspace projection matrix example | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QTcSBB3uVP0/default.jpg URL=http://www.youtube.com/watch?v=QTcSBB3uVP0 description=Example of a transformation matrix for a projection onto a subspace Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/lin-alg-another-example-of-a-projection-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/lin-alg-a-projection-onto-a-subspace-is-a-linear-transforma?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A projection onto a subspace is a linear transformation | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/cTyNpXB92bQ/default.jpg URL=http://www.youtube.com/watch?v=cTyNpXB92bQ description=Showing that a projection onto a subspace is a linear transformation Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-subspace-projection-matrix-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-alg-visualizing-a-projection-onto-a-plane?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing a projection onto a plane | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/uWbZlJURkfA/default.jpg URL=http://www.youtube.com/watch?v=uWbZlJURkfA description=Visualizing a projection onto a plane. Showing that the old and new definitions of projections aren't that different. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/lin-alg-a-projection-onto-a-subspace-is-a-linear-transforma?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-projections-onto-subspaces?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projections onto subspaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5B8XluiqdHM/default.jpg URL=http://www.youtube.com/watch?v=5B8XluiqdHM description=Projections onto subspaces Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-alg-visualizing-a-projection-onto-a-plane?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-alg-rowspace-solution-to-ax-b-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Showing that A-transpose x A is invertible | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ESSMQH6Y5OA/default.jpg URL=http://www.youtube.com/watch?v=ESSMQH6Y5OA description=Showing that (transpose of A)(A) is invertible if A has linearly independent columns Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-algebra-orthogonal-complements?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-rank-a-rank-transpose-of-a?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rowspace solution to Ax = b example | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qdf2CuMGdKs/default.jpg URL=http://www.youtube.com/watch?v=qdf2CuMGdKs description=Visualizing the rowspace solution to Ax=b Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/orthogonal_projections/v/linear-algebra-projections-onto-subspaces?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-unique-rowspace-solution-to-ax-b?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unique rowspace solution to Ax = b | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/czIYvs9zj2g/default.jpg URL=http://www.youtube.com/watch?v=czIYvs9zj2g description=Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the "smallest" solution to Ax=b Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-alg-rowspace-solution-to-ax-b-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-orthogonal-complement-of-the-nullspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Orthogonal complement of the orthogonal complement | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/zlI8mx8Hc8o/default.jpg URL=http://www.youtube.com/watch?v=zlI8mx8Hc8o description=Finding that the orthogonal complement of the orthogonal complement of V is V Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-orthogonal-complement-of-the-nullspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-representing-vectors-in-rn-using-subspace-members?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Orthogonal complement of the nullspace | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/LE_aQAur7nI/default.jpg URL=http://www.youtube.com/watch?v=LE_aQAur7nI description=The orthogonal complement of the nullspace and left nullspace. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-unique-rowspace-solution-to-ax-b?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-orthogonal-complement-of-the-orthogonal-complement?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Representing vectors in rn using subspace members | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/M6lFqkqvUgo/default.jpg URL=http://www.youtube.com/watch?v=M6lFqkqvUgo description=Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-orthogonal-complement-of-the-orthogonal-complement?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-algebra-dim-v-dim-orthogonal-complement-of-v-n?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Slope and Y-intercept Intuition thumb=https://i.ytimg.com/vi/8sz1IPjBRS8/default.jpg URL=http://www.youtube.com/watch?v=8sz1IPjBRS8 description=Using the "Graph of a line" module to understand how a line's graph changes when its slope or y-intercept is changed. More free lessons at: http://www.khanacademy.org/video?v=8sz1IPjBRS8/description type=video name=Basic Graphing and Coordinates thumb=https://i.ytimg.com/vi/cL3f0EhKRn0/default.jpg URL=http://www.youtube.com/watch?v=cL3f0EhKRn0 description=Learning to graph points in two dimensions using Cartesian coordinates./description type=video name=Area of a circle thumb=https://i.ytimg.com/vi/tCrDyJsSFok/default.jpg URL=http://www.youtube.com/watch?v=tCrDyJsSFok description=Area of a circle and how it relates to radius and diameter/description type=video name=Circles: radius, diameter, circumference and Pi | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/jyLRpr2P0MQ/default.jpg URL=http://www.youtube.com/watch?v=jyLRpr2P0MQ description=A circle is at the foundation of geometry and how its parts relate to each other is both completely logical and a wonder. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/e/radius_diameter_and_circumference?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/basic-geometry/circum_area_circles/v/parts-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/basic-geometry/heron_formula_tutorial/v/part-2-of-the-proof-of-heron-s-formula?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Area and Perimeter thumb=https://i.ytimg.com/vi/kqqmJiJez6o/default.jpg URL=http://www.youtube.com/watch?v=kqqmJiJez6o description=Area of rectangles and triangles. Perimeter of rectangles./description type=video name=dim(v) + dim(orthogonal complement of v) = n | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/pGhBfkBqok0/default.jpg URL=http://www.youtube.com/watch?v=pGhBfkBqok0 description=Showing that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/lin-alg-representing-vectors-in-rn-using-subspace-members?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-algebra-orthogonal-complements?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=rank(a) = rank(transpose of a) | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tqqVOWm9YsU/default.jpg URL=http://www.youtube.com/watch?v=tqqVOWm9YsU description=Rank(A) = Rank(transpose of A) Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/lin-alg-showing-that-a-transpose-x-a-is-invertible?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/lin-alg-visualizations-of-left-nullspace-and-rowspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Orthogonal complements | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QOTjdgmNqlg/default.jpg URL=http://www.youtube.com/watch?v=QOTjdgmNqlg description=Orthogonal Complements as subspaces. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/alternate_bases/othogonal_complements/v/linear-algebra-dim-v-dim-orthogonal-complement-of-v-n?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/lin-alg-showing-that-a-transpose-x-a-is-invertible?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizations of left nullspace and rowspace | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/GW8ZPjGlk24/default.jpg URL=http://www.youtube.com/watch?v=GW8ZPjGlk24 description=Relationship between left nullspace, rowspace, column space and nullspace. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-rank-a-rank-transpose-of-a?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-rowspace-and-left-nullspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rowspace and left nullspace | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qBfc57x_RSg/default.jpg URL=http://www.youtube.com/watch?v=qBfc57x_RSg description=Rowspace and Left Nullspace Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/lin-alg-visualizations-of-left-nullspace-and-rowspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transpose-of-a-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Alternate Solution to Ratio Problem (HD Version) thumb=https://i.ytimg.com/vi/-xyTz0WZ1W4/default.jpg URL=http://www.youtube.com/watch?v=-xyTz0WZ1W4 description=An alternate solution to the advanced ratio problem in the last video. More free lessons at: http://www.khanacademy.org/video?v=-xyTz0WZ1W4/description type=video name=More advanced ratio problem--with Algebra (HD version) thumb=https://i.ytimg.com/vi/ItA_hhRtUuw/default.jpg URL=http://www.youtube.com/watch?v=ItA_hhRtUuw description=More advance ratio problem with algebra. More free lessons at: http://www.khanacademy.org/video?v=ItA_hhRtUuw/description type=video name=Ratio problem with basic algebra | Linear equations and inequalities | Algebra Basics | Khan Academy thumb=https://i.ytimg.com/vi/ITVQrzDSekU/default.jpg URL=http://www.youtube.com/watch?v=ITVQrzDSekU description=A slightly more involved ratio problem with algebra. Created by Sal Khan. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/ratios-core-algebra/e/constructing-proportions-to-solve-application-problems?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Watch the next lesson: https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/core-algebra-direct-inverse-variation/v/direct-and-inverse-variation?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Missed the previous lesson? https://www.khanacademy.org/math/algebra-basics/core-algebra-linear-equations-inequalities/ratios-core-algebra/v/constructing-proportions-to-solve-application-problems?utm_source=YT&utm_medium=Desc&utm_campaign=algebrabasics Algebra basics on Khan Academy: Topics covered in a traditional college level introductory macroeconomics course About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Macroeconomics channel: https://www.youtube.com/channel/UCBytY7pnP0GAHB3C8vDeXvg Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to ratios | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/HpdMJaKaXXc/default.jpg URL=http://www.youtube.com/watch?v=HpdMJaKaXXc description=What a ratio is. Simple ratio problems. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/e/ratio_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/ratios-as-fractions-in-simplest-form?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets-3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transpose of a vector | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lSoaMCNKfAg/default.jpg URL=http://www.youtube.com/watch?v=lSoaMCNKfAg description=Transpose of a column vector. Matrix-matrix products using vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-rowspace-and-left-nullspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transposes-of-sums-and-inverses?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transposes of sums and inverses | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Br_8t58mdeI/default.jpg URL=http://www.youtube.com/watch?v=Br_8t58mdeI description=Transposes of sums and inverses Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transpose-of-a-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transpose-of-a-matrix-product?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinant of transpose | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/x-GV2v0dRNE/default.jpg URL=http://www.youtube.com/watch?v=x-GV2v0dRNE description=Proof by induction that transposing a matrix does not change its determinant Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transpose-of-a-matrix-product?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transpose-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transpose of a matrix product | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/UdHgWK13x5I/default.jpg URL=http://www.youtube.com/watch?v=UdHgWK13x5I description=Taking the transpose of the product of two matrices Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transposes-of-sums-and-inverses?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-determinant-of-transpose?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Transpose of a matrix | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/2t0003_sxtU/default.jpg URL=http://www.youtube.com/watch?v=2t0003_sxtU description=Transpose of a matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-determinant-of-transpose?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-as-scaling-factor?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinant as scaling factor | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/g3MqSdO5Ubc/default.jpg URL=http://www.youtube.com/watch?v=g3MqSdO5Ubc description=Viewing the determinant of the transformation matrix as a scaling factor of regions Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/matrix_transpose/v/linear-algebra-transpose-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-and-area-of-a-parallelogram?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinant and area of a parallelogram | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/n-S63_goDFg/default.jpg URL=http://www.youtube.com/watch?v=n-S63_goDFg description=Realizing that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-as-scaling-factor?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-simpler-4x4-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simpler 4x4 determinant | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QV0jsTiobU4/default.jpg URL=http://www.youtube.com/watch?v=QV0jsTiobU4 description=Calculating a 4x4 determinant by putting in in upper triangular form first. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-and-area-of-a-parallelogram?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-upper-triangular-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Upper triangular determinant | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/VX7K8iqoiRc/default.jpg URL=http://www.youtube.com/watch?v=VX7K8iqoiRc description=The determinant of an upper triangular matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-simpler-4x4-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-after-row-operations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinant after row operations | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/kpG7xySkivg/default.jpg URL=http://www.youtube.com/watch?v=kpG7xySkivg description=What happens to the determinant when we perform a row operation Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-upper-triangular-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-duplicate-row-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Duplicate row determinant | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gYv8sttBIqs/default.jpg URL=http://www.youtube.com/watch?v=gYv8sttBIqs description=Determinant of a matrix with duplicate rows Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-after-row-operations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-when-row-is-added?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinant when row is added | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/VrB3LaSD_uo/default.jpg URL=http://www.youtube.com/watch?v=VrB3LaSD_uo description=The determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices) Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-duplicate-row-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-correction-scalar-muliplication-of-row?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=(correction) scalar multiplication of row | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/WY6QG0mZ7uQ/default.jpg URL=http://www.youtube.com/watch?v=WY6QG0mZ7uQ description=Correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-when-row-is-added?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-when-row-multiplied-by-scalar?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinant when row multiplied by scalar | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/32rdijPB-rA/default.jpg URL=http://www.youtube.com/watch?v=32rdijPB-rA description=The determinant when a row is multiplied by a scalar Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-correction-scalar-muliplication-of-row?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-rule-of-sarrus-of-determinants?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Scientific notation examples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/0Dd-y_apbRw/default.jpg URL=http://www.youtube.com/watch?v=0Dd-y_apbRw description=More scientific notation examples Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/e/scientific_notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-i?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rule of Sarrus of determinants | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4xFIi0JF2AM/default.jpg URL=http://www.youtube.com/watch?v=4xFIi0JF2AM description=A alternative "short cut" for calculating 3x3 determinants (Rule of Sarrus) Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/determinant_depth/v/linear-algebra-determinant-when-row-multiplied-by-scalar?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-determinants-along-other-rows-cols?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Determinants along other rows/cols | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/nu87kfmwNfU/default.jpg URL=http://www.youtube.com/watch?v=nu87kfmwNfU description=Finding the determinant by going along other rows or columns Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-rule-of-sarrus-of-determinants?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-nxn-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=n x n determinant | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/H9BWRYJNIv4/default.jpg URL=http://www.youtube.com/watch?v=H9BWRYJNIv4 description=Defining the determinant for nxn matrices. An example of a 4x4 determinant. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-determinants-along-other-rows-cols?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-3x3-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=3 x 3 determinant | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/0c7dt2SQfLw/default.jpg URL=http://www.youtube.com/watch?v=0c7dt2SQfLw description=Determinants: Finding the determinant of a 3x3 matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-nxn-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-formula-for-2x2-inverse?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/trdbaV4TaAo/default.jpg URL=http://www.youtube.com/watch?v=trdbaV4TaAo description=Introduction to scientific notation. An in-depth discussion about why and how scientific notation is used. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/e/scientific_notation_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/zero-negative-and-fractional-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Formula for 2x2 inverse | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/eEUK_ThrHuQ/default.jpg URL=http://www.youtube.com/watch?v=eEUK_ThrHuQ description=Figuring out the formula for a 2x2 matrix. Defining the determinant. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-3x3-determinant?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-example-of-finding-matrix-inverse?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Derivative as slope of a tangent line | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/ANyVpMS3HL4/default.jpg URL=http://www.youtube.com/watch?v=ANyVpMS3HL4 description=Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line) Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/skill-check--tangent-lines?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/tangent-slope-as-limiting-value-of-secant-slope-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/secant-line-slope-tangent/v/approximating-equation-of-tangent-line-word-problem-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The derivative of f(x)=x^2 for any x | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/HEH_oKNLgUU/default.jpg URL=http://www.youtube.com/watch?v=HEH_oKNLgUU description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/alternate-form-of-the-derivative?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating slope of tangent line using derivative definition | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/IePCHjMeFkE/default.jpg URL=http://www.youtube.com/watch?v=IePCHjMeFkE description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/e/tangent-slope-is-limiting-value-of-secant-slope?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2-new-hd-version?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/tangent-slope-as-limiting-value-of-secant-slope-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Example of finding matrix inverse | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/r9aTLTN16V4/default.jpg URL=http://www.youtube.com/watch?v=r9aTLTN16V4 description=Example of calculating the inverse of a matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-formula-for-2x2-inverse?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-deriving-a-method-for-determining-inverses?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Deriving a method for determining inverses | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/6DpzCKJBsz0/default.jpg URL=http://www.youtube.com/watch?v=6DpzCKJBsz0 description=Determining a method for constructing inverse transformation matrices Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-example-of-finding-matrix-inverse?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-showing-that-inverses-are-linear?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Showing that inverses are linear | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/mr9Tow8hpCg/default.jpg URL=http://www.youtube.com/watch?v=mr9Tow8hpCg description=Showing that inverse transformations are also linear Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_of_matrices/v/linear-algebra-deriving-a-method-for-determining-inverses?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-simplifying-conditions-for-invertibility?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simplifying conditions for invertibility | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Yz2OosyMTmY/default.jpg URL=http://www.youtube.com/watch?v=Yz2OosyMTmY description=Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-showing-that-inverses-are-linear?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-matrix-condition-for-one-to-one-trans?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix condition for one-to-one trans | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/M3FuL9qKTBs/default.jpg URL=http://www.youtube.com/watch?v=M3FuL9qKTBs description=Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective) Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-simplifying-conditions-for-invertibility?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-exploring-the-solution-set-of-ax-b?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exploring the solution set of Ax = b | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/1PsNIzUJPkc/default.jpg URL=http://www.youtube.com/watch?v=1PsNIzUJPkc description=Exploring the solution set of Ax=b (non homogeneous equations) Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-matrix-condition-for-one-to-one-trans?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/determining-whether-a-transformation-is-onto?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Simple Analysis of Cost per Job Saved from Stimulus thumb=https://i.ytimg.com/vi/sSqxVMbml_k/default.jpg URL=http://www.youtube.com/watch?v=sSqxVMbml_k description=Simple analysis of cost per job saved from stimulus More free lessons at: http://www.khanacademy.org/video?v=sSqxVMbml_k/description type=video name=Determining whether a transformation is onto | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/eR8vEdJTvd0/default.jpg URL=http://www.youtube.com/watch?v=eR8vEdJTvd0 description=Determining whether a transformation is onto Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-exploring-the-solution-set-of-ax-b?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/relating-invertibility-to-being-onto-and-one-to-one?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Relating invertibility to being onto and one-to-one | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/QIU1daMN8fw/default.jpg URL=http://www.youtube.com/watch?v=QIU1daMN8fw description=Relating invertibility to being onto (surjective) and one-to-one (injective) Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/determining-whether-a-transformation-is-onto?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/surjective-onto-and-injective-one-to-one-functions?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Surjective (onto) and injective (one-to-one) functions | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/xKNX8BUWR0g/default.jpg URL=http://www.youtube.com/watch?v=xKNX8BUWR0g description=Introduction to surjective and injective functions Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/relating-invertibility-to-being-onto-and-one-to-one?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/proof-invertibility-implies-a-unique-solution-to-f-x-y?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Invertibility implies a unique solution to f(x)=y | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/7GEUgRcnfVE/default.jpg URL=http://www.youtube.com/watch?v=7GEUgRcnfVE description=Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/surjective-onto-and-injective-one-to-one-functions?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-introduction-to-the-inverse-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the inverse of a function | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/-eAzhBZgq28/default.jpg URL=http://www.youtube.com/watch?v=-eAzhBZgq28 description=Introduction to the inverse of a function Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/proof-invertibility-implies-a-unique-solution-to-f-x-y?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/distributive-property-of-matrix-products?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Distributive property of matrix products | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/oMWTMj78cwc/default.jpg URL=http://www.youtube.com/watch?v=oMWTMj78cwc description=Showing that matrix products are associative Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/inverse_transformations/v/linear-algebra-introduction-to-the-inverse-of-a-function?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/matrix-product-associativity?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix product associativity | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Hhc96U_HvQE/default.jpg URL=http://www.youtube.com/watch?v=Hhc96U_HvQE description=Showing that matrix products are associative Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/distributive-property-of-matrix-products?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/linear-algebra-matrix-product-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix product examples | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/x1z0hOyjapU/default.jpg URL=http://www.youtube.com/watch?v=x1z0hOyjapU description=Example of taking the product of two matrices Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/matrix-product-associativity?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/compositions-of-linear-transformations-2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compositions of linear transformations 2 | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/BuqcKpe5ZQs/default.jpg URL=http://www.youtube.com/watch?v=BuqcKpe5ZQs description=Providing the motivation for definition of matrix products Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/linear-algebra-matrix-product-examples?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/compositions-of-linear-transformations-1?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compositions of linear transformations 1 | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/f_DTiXZpb8M/default.jpg URL=http://www.youtube.com/watch?v=f_DTiXZpb8M description=Introduction to compositions of Linear Transformations Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/compositions-of-linear-transformations-2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=FRB Commentary 3: Big Picture thumb=https://i.ytimg.com/vi/8SAMey9Gl5I/default.jpg URL=http://www.youtube.com/watch?v=8SAMey9Gl5I description=Summary of thoughts in last two videos. Discussion of why Fractional Reserve Banking is a subsidy to banks and allows them to arbitrage the yield curve. More free lessons at: http://www.khanacademy.org/video?v=8SAMey9Gl5I/description type=video name=FRB Commentary 2: Deposit Insurance thumb=https://i.ytimg.com/vi/otstXFxMkl4/default.jpg URL=http://www.youtube.com/watch?v=otstXFxMkl4 description=More on the weaknesses of fractional reserve banking. The FDIC and deposit insurance and its side effects. More free lessons at: http://www.khanacademy.org/video?v=otstXFxMkl4/description type=video name=Fractional Reserve Banking Commentary 1 thumb=https://i.ytimg.com/vi/ZyyaE3DIxhc/default.jpg URL=http://www.youtube.com/watch?v=ZyyaE3DIxhc description=Understanding the weak points of Fractional Reserve Banking More free lessons at: http://www.khanacademy.org/video?v=ZyyaE3DIxhc/description type=video name=Expressing a projection on to a line as a matrix vector prod | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JK-8XNIoAkI/default.jpg URL=http://www.youtube.com/watch?v=JK-8XNIoAkI description=Expressing a Projection on to a line as a Matrix Vector prod Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/compositions-of-linear-transformations-1?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/introduction-to-projections?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to projections | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/27vT-NWuw0M/default.jpg URL=http://www.youtube.com/watch?v=27vT-NWuw0M description=Determining the projection of a vector on s line Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/expressing-a-projection-on-to-a-line-as-a-matrix-vector-prod?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/unit-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit vectors | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lQn7fksaDq0/default.jpg URL=http://www.youtube.com/watch?v=lQn7fksaDq0 description=What unit vectors are and how to construct them Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/introduction-to-projections?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/rotation-in-r3-around-the-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Rotation in R3 around the x-axis | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gkyuLPzfDV0/default.jpg URL=http://www.youtube.com/watch?v=gkyuLPzfDV0 description=Construction a rotation transformation in R3 Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/unit-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/linear-transformation-examples-rotations-in-r2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear transformation examples: Rotations in R2 | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lPWfIq5DzqI/default.jpg URL=http://www.youtube.com/watch?v=lPWfIq5DzqI description=Linear Transformation Examples: Rotations in R2 Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/rotation-in-r3-around-the-x-axis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/linear-transformation-examples-scaling-and-reflections?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear transformation examples: Scaling and reflections | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qkfODKmZ-x4/default.jpg URL=http://www.youtube.com/watch?v=qkfODKmZ-x4 description=Creating scaling and reflection transformation matrices (which are diagonal) Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/linear-transformation-examples-rotations-in-r2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/more-on-matrix-addition-and-scalar-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on matrix addition and scalar multiplication | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Z19-ObbmHJE/default.jpg URL=http://www.youtube.com/watch?v=Z19-ObbmHJE description=More on Matrix Addition and Scalar Multiplication Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/lin_trans_examples/v/linear-transformation-examples-scaling-and-reflections?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/sums-and-scalar-multiples-of-linear-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sums and scalar multiples of linear transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/wHuY97vss18/default.jpg URL=http://www.youtube.com/watch?v=wHuY97vss18 description=Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/more-on-matrix-addition-and-scalar-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/preimage-and-kernel-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Preimage and kernel example | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/6yrPU8rYOhs/default.jpg URL=http://www.youtube.com/watch?v=6yrPU8rYOhs description=Example involving the preimage of a set under a transformation. Definition of kernel of a transformation. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/sums-and-scalar-multiples-of-linear-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/preimage-of-a-set?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Preimage of a set | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/zVsGtU8lIWs/default.jpg URL=http://www.youtube.com/watch?v=zVsGtU8lIWs description=Definition of preimage of a set Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/preimage-and-kernel-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/im-t-image-of-a-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=(2^ln x)/x Antiderivative Example thumb=https://i.ytimg.com/vi/C5Lbjbyr1t4/default.jpg URL=http://www.youtube.com/watch?v=C5Lbjbyr1t4 description=Finding ∫(2^ln x)/x dx More free lessons at: http://www.khanacademy.org/video?v=C5Lbjbyr1t4/description type=video name=im(T): Image of a transformation | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/hZ827mfh1Jo/default.jpg URL=http://www.youtube.com/watch?v=hZ827mfh1Jo description=Showing that the image of a subspace under a transformation is also a subspace. Definition of the image of a Transformation. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/preimage-of-a-set?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/image-of-a-subset-under-a-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Image of a subset under a transformation | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/MIAmN5kgp3k/default.jpg URL=http://www.youtube.com/watch?v=MIAmN5kgp3k description=Exploring what happens to a subset of the domain under a transformation Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/im-t-image-of-a-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/linear-transformations-as-matrix-vector-products?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear transformations as matrix vector products | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PErhLkQcpZ8/default.jpg URL=http://www.youtube.com/watch?v=PErhLkQcpZ8 description=Showing how ANY linear transformation can be represented as a matrix vector product Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/image-of-a-subset-under-a-transformation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/matrix-vector-products-as-linear-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix vector products as linear transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ondmopWLiEg/default.jpg URL=http://www.youtube.com/watch?v=ondmopWLiEg description=Matrix Vector Products as Linear Transformations Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/linear-transformations-as-matrix-vector-products?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/linear-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear transformations | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/4PCktDZJH8E/default.jpg URL=http://www.youtube.com/watch?v=4PCktDZJH8E description=Introduction to linear transformations Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/matrix-vector-products-as-linear-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/vector-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector transformations | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/gAbadNuQEjI/default.jpg URL=http://www.youtube.com/watch?v=gAbadNuQEjI description=Introduction to the notion of vector transformations Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/linear-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/a-more-formal-understanding-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A more formal understanding of functions | Matrix transformations | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/BQMyeQOLvpg/default.jpg URL=http://www.youtube.com/watch?v=BQMyeQOLvpg description=A more formal understanding of functions Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/vector-transformations?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/showing-that-the-candidate-basis-does-span-c-a?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy on Facebook thumb=https://i.ytimg.com/vi/oMVbQLsDLiM/default.jpg URL=http://www.youtube.com/watch?v=oMVbQLsDLiM description=Khan Academy is finally on facebook/description type=video name=Showing that the candidate basis does span C(A) | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/CkQOCnLWPUA/default.jpg URL=http://www.youtube.com/watch?v=CkQOCnLWPUA description=Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A). Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/linear_transformations/v/a-more-formal-understanding-of-functions?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/showing-relation-between-basis-cols-and-pivot-cols?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Showing relation between basis cols and pivot cols | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/BfVjTOjvI30/default.jpg URL=http://www.youtube.com/watch?v=BfVjTOjvI30 description=Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/showing-that-the-candidate-basis-does-span-c-a?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/dimension-of-the-column-space-or-rank?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dimension of the column space or rank | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JUgrBkPteTg/default.jpg URL=http://www.youtube.com/watch?v=JUgrBkPteTg description=Dimension of the Column Space or Rank Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/showing-relation-between-basis-cols-and-pivot-cols?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/dimension-of-the-null-space-or-nullity?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dimension of the null space or nullity | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/abYAUqs_n6I/default.jpg URL=http://www.youtube.com/watch?v=abYAUqs_n6I description=Dimension of the Null Space or Nullity Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/dimension-of-the-column-space-or-rank?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/proof-any-subspace-basis-has-same-number-of-elements?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Any subspace basis has same number of elements | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Zn2K8UIT8r4/default.jpg URL=http://www.youtube.com/watch?v=Zn2K8UIT8r4 description=Proof: Any subspace basis has same number of elements Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/dimension-of-the-null-space-or-nullity?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/visualizing-a-column-space-as-a-plane-in-r3?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Visualizing a column space as a plane in R3 | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/EGNlXtjYABw/default.jpg URL=http://www.youtube.com/watch?v=EGNlXtjYABw description=Determining the planar equation for a column space in R3 Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/proof-any-subspace-basis-has-same-number-of-elements?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-and-column-space-basis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Null space and column space basis | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/_uTAdf_AsfQ/default.jpg URL=http://www.youtube.com/watch?v=_uTAdf_AsfQ description=Figuring out the null space and a basis of a column space for a matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/visualizing-a-column-space-as-a-plane-in-r3?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/column-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Column space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/st6D5OdFV9M/default.jpg URL=http://www.youtube.com/watch?v=st6D5OdFV9M description=Introduction to the column space of a matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-and-column-space-basis?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-3-relation-to-linear-independence?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Null space 3: Relation to linear independence | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/vFctYRhK2M0/default.jpg URL=http://www.youtube.com/watch?v=vFctYRhK2M0 description=Understanding how the null space of a matrix relates to the linear independence of its column vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/column-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-2-calculating-the-null-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Null space 2: Calculating the null space of a matrix | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/qvyboGryeA8/default.jpg URL=http://www.youtube.com/watch?v=qvyboGryeA8 description=Calculating the null space of a matrix Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-3-relation-to-linear-independence?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/introduction-to-the-null-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the null space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/jCwRV1QL_Xs/default.jpg URL=http://www.youtube.com/watch?v=jCwRV1QL_Xs description=Showing that the Null Space of a Matrix is a valid Subspace Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/null-space-2-calculating-the-null-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/matrix-vector-products?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix vector products | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/7Mo4S2wyMg4/default.jpg URL=http://www.youtube.com/watch?v=7Mo4S2wyMg4 description=Defining and understanding what it means to take the product of a matrix and a vector Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/introduction-to-the-null-space-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-3?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrices: Reduced row echelon form 3 | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/JVDrlTdzxiI/default.jpg URL=http://www.youtube.com/watch?v=JVDrlTdzxiI description=And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/null_column_space/v/matrix-vector-products?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrices: Reduced row echelon form 1 | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/L0CmbneYETs/default.jpg URL=http://www.youtube.com/watch?v=L0CmbneYETs description=Solving a system of linear equations by putting an augmented matrix into reduced row echelon form Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-2?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/distance-between-planes?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrices: Reduced row echelon form 2 | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/lP1DGtZ8Wys/default.jpg URL=http://www.youtube.com/watch?v=lP1DGtZ8Wys description=Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-3?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/matrices_elimination/v/matrices-reduced-row-echelon-form-1?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integrals: Trig Substitution 3 (long problem) thumb=https://i.ytimg.com/vi/sw2p2tUIFpc/default.jpg URL=http://www.youtube.com/watch?v=sw2p2tUIFpc description=Example using trig substitution (and trig identities) to solve an integral. More free lessons at: http://www.khanacademy.org/video?v=sw2p2tUIFpc/description type=video name=Integrals: Trig Substitution 2 thumb=https://i.ytimg.com/vi/fD7MbnXbTls/default.jpg URL=http://www.youtube.com/watch?v=fD7MbnXbTls description=Another example of finding an anti-derivative using trigonometric substitution More free lessons at: http://www.khanacademy.org/video?v=fD7MbnXbTls/description type=video name=Integrals: Trig Substitution 1 thumb=https://i.ytimg.com/vi/n4EK92CSuBE/default.jpg URL=http://www.youtube.com/watch?v=n4EK92CSuBE description=Example of using trig substitution to solve an indefinite integral More free lessons at: http://www.khanacademy.org/video?v=n4EK92CSuBE/description type=video name=Extreme derivative word problem (advanced) | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/viaPc8zDcRI/default.jpg URL=http://www.youtube.com/watch?v=viaPc8zDcRI description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/proving-the-chain-rule/v/differentiability-implies-continuity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/chain-rule-visual-triple-comp?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trig Implicit Differentiation Example thumb=https://i.ytimg.com/vi/6xvwyE67CeM/default.jpg URL=http://www.youtube.com/watch?v=6xvwyE67CeM description=Implicit differentiation example that involves the tangent function/description type=video name=Dot and cross product comparison/intuition | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/tdwFdzVqito/default.jpg URL=http://www.youtube.com/watch?v=tdwFdzVqito description=Dot and Cross Product Comparison/Intuition Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-triple-product-expansion-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-relationship-between-cross-product-and-sin-of-angle?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Relationship between cross product and sin of angle | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/7MKA2QlKvHc/default.jpg URL=http://www.youtube.com/watch?v=7MKA2QlKvHc description=Proof: Relationship between the cross product and sin of angle between vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/dot-and-cross-product-comparison-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-cross-product-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cross product introduction | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/pJzmiywagfY/default.jpg URL=http://www.youtube.com/watch?v=pJzmiywagfY description=Introduction to the cross product Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-relationship-between-cross-product-and-sin-of-angle?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/defining-a-plane-in-r3-with-a-point-and-normal-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Defining a plane in R3 with a point and normal vector | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/UJxgcVaNTqY/default.jpg URL=http://www.youtube.com/watch?v=UJxgcVaNTqY description=Determining the equation for a plane in R3 using a point on the plane and a normal vector Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-cross-product-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/defining-the-angle-between-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Defining the angle between vectors | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/5AWob_z74Ks/default.jpg URL=http://www.youtube.com/watch?v=5AWob_z74Ks description=Introducing the idea of an angle between two vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/defining-a-plane-in-r3-with-a-point-and-normal-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-vector-triangle-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector triangle inequality | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/PsNidCBr5II/default.jpg URL=http://www.youtube.com/watch?v=PsNidCBr5II description=Proving the triangle inequality for vectors in Rn Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/defining-the-angle-between-vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-of-the-cauchy-schwarz-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof of the Cauchy-Schwarz inequality | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/r2PogGDl8_U/default.jpg URL=http://www.youtube.com/watch?v=r2PogGDl8_U description=Proof of the Cauchy-Schwarz Inequality Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/linear-algebra-vector-triangle-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proving-vector-dot-product-properties?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proving vector dot product properties | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/rVQ3G9epCjw/default.jpg URL=http://www.youtube.com/watch?v=rVQ3G9epCjw description=Proving the "associative", "distributive" and "commutative" properties for vector dot products. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-of-the-cauchy-schwarz-inequality?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-dot-product-and-vector-length?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/WNuIhXo39_k/default.jpg URL=http://www.youtube.com/watch?v=WNuIhXo39_k description=Definitions of the vector dot product and vector length Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proving-vector-dot-product-properties?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-algebra-basis-of-a-subspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basis of a subspace | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/zntNi3-ybfQ/default.jpg URL=http://www.youtube.com/watch?v=zntNi3-ybfQ description=Understanding the definition of a basis of a subspace Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/vector-dot-product-and-vector-length?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-subspaces?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear subspaces | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/pMFv6liWK4M/default.jpg URL=http://www.youtube.com/watch?v=pMFv6liWK4M description=Introduction to linear subspaces of Rn Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-algebra-basis-of-a-subspace?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_independence/v/span-and-linear-independence-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Span and linear independence example | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/9kW6zFK5E5c/default.jpg URL=http://www.youtube.com/watch?v=9kW6zFK5E5c description=Determining whether 3 vectors are linearly independent and/or span R3 Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/subspace_basis/v/linear-subspaces?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_independence/v/more-on-linear-independence?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on linear independence | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Alhcv5d_XOs/default.jpg URL=http://www.youtube.com/watch?v=Alhcv5d_XOs description=More examples determining linear dependence or independence. Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_independence/v/span-and-linear-independence-example?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_independence/v/linear-algebra-introduction-to-linear-independence?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to linear independence | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/CrV1xCWdY-g/default.jpg URL=http://www.youtube.com/watch?v=CrV1xCWdY-g description=Introduction to linear dependence and independence Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_independence/v/more-on-linear-independence?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_combinations/v/linear-combinations-and-span?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear combinations and span | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Qm_OS-8COwU/default.jpg URL=http://www.youtube.com/watch?v=Qm_OS-8COwU description=Understanding linear combinations and spans of vectors Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_independence/v/linear-algebra-introduction-to-linear-independence?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/linear-algebra-parametric-representations-of-lines?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric representations of lines | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/hWhs2cIj7Cw/default.jpg URL=http://www.youtube.com/watch?v=hWhs2cIj7Cw description=Parametric Representations of Lines in R2 and R3 Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/linear_combinations/v/linear-combinations-and-span?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/intro-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Vector examples | Vectors and spaces | Linear Algebra | Khan Academy thumb=https://i.ytimg.com/vi/r4bH66vYjss/default.jpg URL=http://www.youtube.com/watch?v=r4bH66vYjss description=Visually understanding basic vector operations Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/e/scaling_vectors?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/intro-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/multiplying-vector-by-scalar?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channel/UCGYSKl6e3HM0PP7QR35Crug?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Linear Algebra: Introduction to Vectors thumb=https://i.ytimg.com/vi/5cWB52I-SF0/default.jpg URL=http://www.youtube.com/watch?v=5cWB52I-SF0 description=Linear Algebra: Introduction to Vectors/description type=video name=Using the convolution theorem to solve an initial value prob | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/rfyq32mHcYs/default.jpg URL=http://www.youtube.com/watch?v=rfyq32mHcYs description=Using the Convolution Theorem to solve an initial value problem This is the last video in our differential equations subject! Now move on to our first video in linear algebra: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/vectors/v/vector-introduction-linear-algebra?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/convolution-integral/v/the-convolution-and-the-laplace-transform?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The convolution and the laplace transform | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/TJgBEI3drUc/default.jpg URL=http://www.youtube.com/watch?v=TJgBEI3drUc description=Understanding how the product of the Transforms of two functions relates to their convolution. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/convolution-integral/v/using-the-convolution-theorem-to-solve-an-initial-value-prob?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/convolution-integral/v/introduction-to-the-convolution?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the convolution | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/IW4Reburjpc/default.jpg URL=http://www.youtube.com/watch?v=IW4Reburjpc description=Introduction to the Convolution Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/convolution-integral/v/the-convolution-and-the-laplace-transform?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-step-function-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trigonometry identity review/fun | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/a70-dYvDJZY/default.jpg URL=http://www.youtube.com/watch?v=a70-dYvDJZY description=Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identities-part-2-parr-4-if-you-watch-the-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/proof-law-of-sines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform of the dirac delta function | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/vhfjEpQWWeE/default.jpg URL=http://www.youtube.com/watch?v=vhfjEpQWWeE description=Figuring out the Laplace Transform of the Dirac Delta Function Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-transform-to-solve-an-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/dirac-delta-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dirac delta function | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/4qfdCwys2ew/default.jpg URL=http://www.youtube.com/watch?v=4qfdCwys2ew description=Introduction to the Dirac Delta Function Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-the-dirac-delta-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/inverse-laplace-examples?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace/step function differential equation | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/R0JY8oWsuOY/default.jpg URL=http://www.youtube.com/watch?v=R0JY8oWsuOY description=Hairy differential equation involving a step function that we use the Laplace Transform to solve. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/convolution-integral/v/introduction-to-the-convolution?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/using-the-laplace-transform-to-solve-a-nonhomogenous-eq?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse Laplace examples | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/BbqbvSig6Mc/default.jpg URL=http://www.youtube.com/watch?v=BbqbvSig6Mc description=Using our toolkit to take some inverse Laplace Transforms Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/dirac-delta-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-the-unit-step-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform of the unit step function | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/4Mr7aEHQr8E/default.jpg URL=http://www.youtube.com/watch?v=4Mr7aEHQr8E description=Introduction to the unit step function and its Laplace Transform Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/inverse-laplace-examples?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-t-n-l-t-n?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform of t^n: L{t^n} | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/pZIaUx3UQoA/default.jpg URL=http://www.youtube.com/watch?v=pZIaUx3UQoA description=Laplace Transform of t^n: L{t^n} Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-the-unit-step-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-l-t?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform of t: L{t} | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/qhKJ1DG9kYY/default.jpg URL=http://www.youtube.com/watch?v=qhKJ1DG9kYY description=Determining the Laplace Transform of t Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-t-n-l-t-n?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/more-laplace-transform-tools?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Using the Laplace transform to solve a nonhomogeneous eq | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/nlUG4OKN1IY/default.jpg URL=http://www.youtube.com/watch?v=nlUG4OKN1IY description=Solving a non-homogeneous differential equation using the Laplace Transform Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-step-function-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-transform-solves-an-equation-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Viruses thumb=https://i.ytimg.com/vi/0h5Jd7sgQWY/default.jpg URL=http://www.youtube.com/watch?v=0h5Jd7sgQWY description=Introduction to viruses More free lessons at: http://www.khanacademy.org/video?v=0h5Jd7sgQWY/description type=video name=Proofs of derivatives of ln(x) and e^x | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/3nQejB-XPoY/default.jpg URL=http://www.youtube.com/watch?v=3nQejB-XPoY description=Doing both proofs in the same video to clarify any misconceptions that the original proof was "circular". Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/der_common_functions/v/proofs-of-derivatives-of-ln-x-and-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/normal-tangent-line-eq/v/tangent-line-intercept?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bacteria thumb=https://i.ytimg.com/vi/TDoGrbpJJ14/default.jpg URL=http://www.youtube.com/watch?v=TDoGrbpJJ14 description=Introduction to bacteria More free lessons at: http://www.khanacademy.org/video?v=TDoGrbpJJ14/description type=video name=Derivative of x^(x^x) | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/N5kkwVoAtkc/default.jpg URL=http://www.youtube.com/watch?v=N5kkwVoAtkc description=Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/e/logarithmic-differentiation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-log-properties?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-natural-logarithm?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplying multiple digit numbers | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/-h3Oqhl8fPg/default.jpg URL=http://www.youtube.com/watch?v=-h3Oqhl8fPg description=Working our way up to multiplying multiple-digit numbers with each other. We'll go slow so you can follow along. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-whole-numbers-and-applications-4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-whole-numbers-and-applications-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2-digit times a 2-digit number | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/t8m0NalQtEk/default.jpg URL=http://www.youtube.com/watch?v=t8m0NalQtEk description=Multiplying a 2-digit number times a 2-digit number Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/e/multiplication_3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-whole-numbers-and-applications-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/4-digit-times-1-digit-example?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse trig functions: arccos | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/eTDaJ4ebK28/default.jpg URL=http://www.youtube.com/watch?v=eTDaJ4ebK28 description=Understanding the inverse cosine or arccos function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/inverse_trig_functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arctan?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arcsin?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse trig functions: arctan | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/Idxeo49szW0/default.jpg URL=http://www.youtube.com/watch?v=Idxeo49szW0 description=Understanding the arctan or inverse tangent function. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/inverse_trig_functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/example-calculator-to-evaluate-inverse-trig-function?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arccos?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inverse trig functions: arcsin | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/JGU74wbZMLg/default.jpg URL=http://www.youtube.com/watch?v=JGU74wbZMLg description=Introduction to the inverse trig function arcsin Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/e/inverse_trig_functions?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/inverse_trig_functions/v/inverse-trig-functions-arccos?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/trig-functions-special-angles/v/trig-functions-special-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hardy-Weinberg Principle thumb=https://i.ytimg.com/vi/4Kbruik_LOo/default.jpg URL=http://www.youtube.com/watch?v=4Kbruik_LOo description=Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium./description type=video name=Punnett square fun | Biomolecules | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/D5ymMYcLtv0/default.jpg URL=http://www.youtube.com/watch?v=D5ymMYcLtv0 description=Dihybrid crosses. Independent assortment. Incomplete dominance. Codominance and multiple alleles. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/biomolecules/mendelian-genetics/v/hardy-weinberg?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/biomolecules/mendelian-genetics/v/co-dominance-and-incomplete-dominance?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Heredity thumb=https://i.ytimg.com/vi/eEUvRrhmcxM/default.jpg URL=http://www.youtube.com/watch?v=eEUvRrhmcxM description=Heredity and Classical Genetics. Dominant and recessive traits. Heterozygous and homozygous genotypes. More free lessons at: http://www.khanacademy.org/video?v=eEUvRrhmcxM/description type=video name=Embryonic stem cells | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/-yCIMk1x0Pk/default.jpg URL=http://www.youtube.com/watch?v=-yCIMk1x0Pk description=An overview of early development of a zygote to an embryo. Embryonic and somatic stem cells. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/cancer?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/phases-of-meiosis-ii?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cancer | Cells | MCAT | Khan Academy thumb=https://i.ytimg.com/vi/RZhL7LDPk8w/default.jpg URL=http://www.youtube.com/watch?v=RZhL7LDPk8w description=An introduction to what cancer is and how it is the by-product of broken DNA replication. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/mcat/cells/cellular-development/v/stem-cells?utm_source=YT&utm_medium=Desc&utm_campaign=mcat Missed the previous lesson? https://www.khanacademy.org/test-prep/mcat/cells/cellular-division/v/embryonic-stem-cells?utm_source=YT&utm_medium=Desc&utm_campaign=mcat MCAT on Khan Academy: Go ahead and practice some passage-based questions! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s MCAT channel: https://www.youtube.com/channel/UCDkK5wqSuwDlJ3_nl3rgdiQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=A look at a seductive but wrong Gibbs/spontaneity proof | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/yYbzJs6vgv8/default.jpg URL=http://www.youtube.com/watch?v=yYbzJs6vgv8 description=A look at why the "proof" of the relation between changes in Gibbs Free Energy and Spontaneity is wrong in many textbooks. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/changes-in-free-energy-and-the-reaction-quotient?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/more-rigorous-gibbs-free-energy-spontaneity-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More rigorous Gibbs free energy / spontaneity relationship | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/7aur5h44pV4/default.jpg URL=http://www.youtube.com/watch?v=7aur5h44pV4 description=More formal understanding of why a negative change in Gibbs Free Energy implies a spontaneous, irreversible reaction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/a-look-at-a-seductive-but-wrong-gibbs-spontaneity-proof?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/gibbs-free-energy-example?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gibbs free energy example | Thermodynamics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/sG1ZAdYi13A/default.jpg URL=http://www.youtube.com/watch?v=sG1ZAdYi13A description=Determining if a reaction is spontaneous by calculating the change in Gibbs free energy. Also calculates the change in entropy using table of standard entropies. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/more-rigorous-gibbs-free-energy-spontaneity-relationship?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/gibbs-free-energy-and-spontaneity?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gibbs free energy and spontaneity | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ViAmQivKif0/default.jpg URL=http://www.youtube.com/watch?v=ViAmQivKif0 description=Intuition behind why spontaneity is driven by enthalpy, entropy and temperature. Introduction to Gibbs free energy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/gibbs-free-energy/v/gibbs-free-energy-example?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/entropy-chemistry-sal/v/maxwell-s-demon?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hess's law and reaction enthalpy change | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/chXMpDwjBDk/default.jpg URL=http://www.youtube.com/watch?v=chXMpDwjBDk description=Using Hess's Law and standard heats of formation to determine the enthalpy change for reactions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/hess-s-law-example?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/heat-of-formation?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Heat of formation | Thermodynamics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/PK_JXzYcme0/default.jpg URL=http://www.youtube.com/watch?v=PK_JXzYcme0 description=Standard heat of formation or standard enthalpy change of formation. How heats of formation are calculated. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/hess-s-law-and-reaction-enthalpy-change?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/chem19-calorimetry?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermodynamic entropy definition clarification | Physics | Khan Academy thumb=https://i.ytimg.com/vi/PFcGiMLwjeY/default.jpg URL=http://www.youtube.com/watch?v=PFcGiMLwjeY description=Clarifying that the thermodynamic definition of Entropy requires a reversible system. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/reconciling-thermodynamic-and-state-definitions-of-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/proof-s-or-entropy-is-a-valid-state-variable?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Enthalpy | Thermodynamics | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/fucyI7Ouj2c/default.jpg URL=http://www.youtube.com/watch?v=fucyI7Ouj2c description=Understanding why enthalpy can be viewed as "heat content" in a constant pressure system. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/enthalpy-chemistry-sal/v/chem19-calorimetry?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/thermodynamics-chemistry/internal-energy-sal/v/pv-diagrams-and-expansion-work?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Phases of Meiosis thumb=https://i.ytimg.com/vi/ijLc52LmFQg/default.jpg URL=http://www.youtube.com/watch?v=ijLc52LmFQg description=The phases of Meiosis. More free lessons at: http://www.khanacademy.org/video?v=ijLc52LmFQg About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Phases of Mitosis thumb=https://i.ytimg.com/vi/LLKX_4DHE3I/default.jpg URL=http://www.youtube.com/watch?v=LLKX_4DHE3I description=Explanation of the phases of mitosis. More free lessons at: http://www.khanacademy.org/video?v=LLKX_4DHE3I About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Mitosis, Meiosis and Sexual Reproduction thumb=https://i.ytimg.com/vi/kaSIjIzAtYA/default.jpg URL=http://www.youtube.com/watch?v=kaSIjIzAtYA description=Mitosis, meiosis and sexual reproduction. Understanding gametes, zygotes, and haploid / diploid numbers./description type=video name=Chromosomes, Chromatids, Chromatin, etc. thumb=https://i.ytimg.com/vi/s9HPNwXd9fk/default.jpg URL=http://www.youtube.com/watch?v=s9HPNwXd9fk description=The vocabulary of DNA: chromosomes, chromatids, chromatin, transcription, translation, and replication More free lessons at: http://www.khanacademy.org/video?v=s9HPNwXd9fk/description type=video name=Variation in a Species thumb=https://i.ytimg.com/vi/DuArVnT1i-E/default.jpg URL=http://www.youtube.com/watch?v=DuArVnT1i-E description=How variation can be introduced into a species. More free lessons at: http://www.khanacademy.org/video?v=DuArVnT1i-E/description type=video name=DNA thumb=https://i.ytimg.com/vi/_-vZ_g7K6P0/default.jpg URL=http://www.youtube.com/watch?v=_-vZ_g7K6P0 description=An introduction to DNA More free lessons at: http://www.khanacademy.org/video?v=_-vZ_g7K6P0 About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Natural Selection and the Owl Butterfly thumb=https://i.ytimg.com/vi/dR_BFmDMRaI/default.jpg URL=http://www.youtube.com/watch?v=dR_BFmDMRaI description=How the "Owl Butterfly" may have gotten the spot on its wings. More free lessons at: http://www.khanacademy.org/video?v=dR_BFmDMRaI/description type=video name=Introduction to Evolution and Natural Selection thumb=https://i.ytimg.com/vi/GcjgWov7mTM/default.jpg URL=http://www.youtube.com/watch?v=GcjgWov7mTM description=Introduction to evolution, variation in a population and natural selection More free lessons at: http://www.khanacademy.org/video?v=GcjgWov7mTM About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Carnot efficiency 2: Reversing the cycle | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/pQWwP7YYH6o/default.jpg URL=http://www.youtube.com/watch?v=pQWwP7YYH6o description=Seeing how we can scale and or reverse a Carnot Engine (to make a refrigerator). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/carnot-efficiency-3-proving-that-it-is-the-most-efficient?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/efficiency-of-a-carnot-engine?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Carnot efficiency 3: Proving that it is the most efficient | Physics | Khan Academy thumb=https://i.ytimg.com/vi/LUoUb4hGMH8/default.jpg URL=http://www.youtube.com/watch?v=LUoUb4hGMH8 description=Proving that a Carnot Engine is the most efficient engine. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/charge-electric-force/v/triboelectric-effect-and-charge?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/carnot-efficiency-2-reversing-the-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Efficiency of a Carnot engine | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/M_5KYncYNyc/default.jpg URL=http://www.youtube.com/watch?v=M_5KYncYNyc description=Definition of efficiency for a heat engine. Efficiency of a Carnot Engine. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/carnot-efficiency-2-reversing-the-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/more-on-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication 3: 10,11,12 times tables | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/qihoczo1Ujk/default.jpg URL=http://www.youtube.com/watch?v=qihoczo1Ujk description=Multiplication 3: Learning to multiply 10, 11, and 12. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/delightful_division/v/division-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/multiplying-whole-numbers-and-applications-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on entropy | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/dFFzAP2OZ3E/default.jpg URL=http://www.youtube.com/watch?v=dFFzAP2OZ3E description=Distinguishing between microstates and macro states. How entropy S is defined for a system and not for a specific microstate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/efficiency-of-a-carnot-engine?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/maxwell-s-demon?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Maxwell's demon | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/aKRDvSZ-igA/default.jpg URL=http://www.youtube.com/watch?v=aKRDvSZ-igA description=Maxwell's Demon: A thought experiment that seems to defy the 2nd Law of Thermodynamics. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/more-on-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/entropy-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication 2: The multiplication tables | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/xO_1bYgoQvA/default.jpg URL=http://www.youtube.com/watch?v=xO_1bYgoQvA description=Introduction to the multiplication tables from 2-9. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/multiplying-whole-numbers-and-applications-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/basic-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Entropy intuition | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/xJf6pHqLzs0/default.jpg URL=http://www.youtube.com/watch?v=xJf6pHqLzs0 description=Introduces second law of thermodynamics. A discussion of entropy change in terms of heat and microstates . Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/maxwell-s-demon?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/reconciling-thermodynamic-and-state-definitions-of-entropy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reconciling thermodynamic and state definitions of entropy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/WLKEVfLFau4/default.jpg URL=http://www.youtube.com/watch?v=WLKEVfLFau4 description=Long video explaining why entropy is a measure of the number of states a system can take on (mathy, but mind-blowing). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/entropy-intuition?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/thermodynamic-entropy-definition-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: S (or entropy) is a valid state variable | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/sPz5RrFus1Q/default.jpg URL=http://www.youtube.com/watch?v=sPz5RrFus1Q description=Proof that S (or entropy) is a valid state variable. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/thermodynamic-entropy-definition-clarification?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/proof-volume-ratios-in-a-carnot-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Volume ratios in a carnot cycle | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ixRtSV3CXPA/default.jpg URL=http://www.youtube.com/watch?v=ixRtSV3CXPA description=Proof of the volume ratios in a Carnot cycle. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/proof-volume-ratios-in-a-carnot-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/work-done-by-isothermic-process?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Carnot cycle and Carnot engine | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/aAfBSJObd6Y/default.jpg URL=http://www.youtube.com/watch?v=aAfBSJObd6Y description=Introduction to the Carnot cycle and Carnot heat engine. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/proof-volume-ratios-in-a-carnot-cycle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/work-done-by-isothermic-process?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Work done by isothermic process | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/iiFWoXQPOJc/default.jpg URL=http://www.youtube.com/watch?v=iiFWoXQPOJc description=Isothermic and adiabatic processes. Calculating the work done by an isothermic process and seeing that it is the same as the heat added. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/carnot-cycle-and-carnot-engine?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/proof-u-3-2-pv-or-u-3-2-nrt?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: U = (3/2)PV or U = (3/2)nRT | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/qSFY7GKhSRs/default.jpg URL=http://www.youtube.com/watch?v=qSFY7GKhSRs description=Conceptual proof that the internal energy of an ideal gas system is 3/2 PV. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/work-done-by-isothermic-process?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/pv-diagrams-and-expansion-work?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=PV-diagrams and expansion work | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/M5uOIy-JTmo/default.jpg URL=http://www.youtube.com/watch?v=M5uOIy-JTmo description=Why work from expansion is the area under the curve of a PV-diagram. Why heat is not a state function and internal energy is a state function. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/proof-u-3-2-pv-or-u-3-2-nrt?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/work-from-expansion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Work from expansion | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/obeGVTOZyfE/default.jpg URL=http://www.youtube.com/watch?v=obeGVTOZyfE description=How a system can do work by expanding. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/pv-diagrams-and-expansion-work?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/more-on-internal-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on internal energy | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/aOSlXuDO4UU/default.jpg URL=http://www.youtube.com/watch?v=aOSlXuDO4UU description=Getting more intuition of internal energy, heat, and work. Examples of using the first law to calculate work. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/work-from-expansion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/first-law-of-thermodynamics-internal-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=First law of thermodynamics / internal energy | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Xb05CaG7TsQ/default.jpg URL=http://www.youtube.com/watch?v=Xb05CaG7TsQ description=First law of thermodynamic and internal energy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/more-on-internal-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/quasistatic-and-reversible-processes?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quasistatic and reversible processes | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/lKq-10ysDb4/default.jpg URL=http://www.youtube.com/watch?v=lKq-10ysDb4 description=Using theoretically quasi-static and/or reversible processes to stay pretty much at equilibrium. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/first-law-of-thermodynamics-internal-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/macrostates-and-microstates?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Macrostates and microstates | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/5EU-y1VF7g4/default.jpg URL=http://www.youtube.com/watch?v=5EU-y1VF7g4 description=The difference between macrostates and microstates. Thermodynamic equilibrium. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/laws-of-thermodynamics/v/quasistatic-and-reversible-processes?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/specific-heat-and-heat-transfer/v/intuition-behind-formula-for-thermal-conductivity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More exponential decay examples | Nuclear chemistry | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Hqzakjo_dYg/default.jpg URL=http://www.youtube.com/watch?v=Hqzakjo_dYg description=A few more examples of exponential decay. Practice calculating k from half-life, and calculating initial mass. Watch the next lesson: https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/exponential-decay-and-semi-log-plots?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/introduction-to-exponential-decay?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to exponential decay | Nuclear chemistry | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/HTDop6eEsaA/default.jpg URL=http://www.youtube.com/watch?v=HTDop6eEsaA description=Introduction to Exponential Decay. Using the exponential decay formula to calculate k, calculating the mass of carbon-14 remaining after a given time, and calculating the time it takes to have a specific mass remaining . Watch the next lesson: https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/more-exponential-decay-examples?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/exponential-decay-formula-proof-can-skip-involves-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential decay formula proof (can skip, involves calculus) | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/H7nrVDV8ahc/default.jpg URL=http://www.youtube.com/watch?v=H7nrVDV8ahc description=Showing that N(t)=Ne^(-kt) describes the amount of a radioactive substance we have at time T. For students with background in Calculus. Not necessary for intro chemistry class. Watch the next lesson: https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/introduction-to-exponential-decay?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/half-life-of-radioactive-isotopes?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Half-life and carbon dating | Nuclear chemistry | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/9REPnibO4IQ/default.jpg URL=http://www.youtube.com/watch?v=9REPnibO4IQ description=Carbon dating is a real-life example of a first-order reaction. This video explains half-life in the context of radioactive decay. Watch the next lesson: https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/half-life-of-radioactive-isotopes?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/alpha-beta-and-gamma-decay?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Types of decay | Nuclear chemistry | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/3koOwozY4oc/default.jpg URL=http://www.youtube.com/watch?v=3koOwozY4oc description=Alpha, Beta, Gamma Decay and Positron Emission Watch the next lesson: https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/alpha-beta-and-gamma-decay?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/nuclear-chemistry/radioactive-decay/v/nuclear-stability-and-nuclear-equasions?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Hydrogen Peroxide Correction thumb=https://i.ytimg.com/vi/YPjtG5PA-iY/default.jpg URL=http://www.youtube.com/watch?v=YPjtG5PA-iY description=Correcting an error in the last video regarding hydrogen peroxide./description type=video name=Galvanic Cells thumb=https://i.ytimg.com/vi/N4L3dDIixSU/default.jpg URL=http://www.youtube.com/watch?v=N4L3dDIixSU description=Redox reactions to drive Galvanic Cells./description type=video name=Redox Reactions thumb=https://i.ytimg.com/vi/yp60-oVxrT4/default.jpg URL=http://www.youtube.com/watch?v=yp60-oVxrT4 description=Oxidation reduction (or redox) reactions/description type=video name=More on Oxidation States thumb=https://i.ytimg.com/vi/GA88JI4AymY/default.jpg URL=http://www.youtube.com/watch?v=GA88JI4AymY description=More practice calculating oxidation states/description type=video name=Introduction to Oxidation States thumb=https://i.ytimg.com/vi/_fNNQfGGYr4/default.jpg URL=http://www.youtube.com/watch?v=_fNNQfGGYr4 description=Oxidation and reduction. Oxidation states./description type=video name=Titration roundup | Buffers, titrations, and solubility equilibria | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/BBIGR0RAMtY/default.jpg URL=http://www.youtube.com/watch?v=BBIGR0RAMtY description=Making sure you fully understand titration curves by comparing the initial pH and pH at equivalence point for different types. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/acid-base-titration?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acid-base-equilibrium/titrations/v/titration-curves-and-acid-base-indicators?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Weak Acid Titration thumb=https://i.ytimg.com/vi/gbpc_JBG1F0/default.jpg URL=http://www.youtube.com/watch?v=gbpc_JBG1F0 description=Equivalence point when titrating a weak acid More free lessons at: http://www.khanacademy.org/video?v=gbpc_JBG1F0/description type=video name=Strong Acid Titration thumb=https://i.ytimg.com/vi/299o6c-Fkz4/default.jpg URL=http://www.youtube.com/watch?v=299o6c-Fkz4 description=Strong acid titration and equivalence point More free lessons at: http://www.khanacademy.org/video?v=299o6c-Fkz4/description type=video name=Buffers thumb=https://i.ytimg.com/vi/HzmI7A578ss/default.jpg URL=http://www.youtube.com/watch?v=HzmI7A578ss description=Buffers and the Henderson-Hasselbalch equation/description type=video name=pKa and pKb relationship | Acids and bases | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/3Gm4nAAc3zc/default.jpg URL=http://www.youtube.com/watch?v=3Gm4nAAc3zc description=The Ka and Kb relationship and pKa and pKb relationship between conjugate acids and bases. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acids-and-bases-topic/copy-of-acid-base-equilibria/v/relationship-between-ka-and-kb?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acids-and-bases-topic/copy-of-acid-base-equilibria/v/conjugate-acids-and-bases?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conjugate acids and bases thumb=https://i.ytimg.com/vi/0LM6wPpypxM/default.jpg URL=http://www.youtube.com/watch?v=0LM6wPpypxM description=Introduction to conjugate acids and bases. Created by Sal Khan. Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Keq derivation intuition | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/psLX080RQR8/default.jpg URL=http://www.youtube.com/watch?v=psLX080RQR8 description=A more concrete attempt at showing how the probabilities of molecules reacting is related to their concentration. Not necessary to keep progressing through chemistry. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/heterogenous-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/keq-intuition-mathy-and-not-necessary-to-progress?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=pH of a Weak Base thumb=https://i.ytimg.com/vi/gDJtOIxDu78/default.jpg URL=http://www.youtube.com/watch?v=gDJtOIxDu78 description=pH of .2 M of NH3 (weak base). More free lessons at: http://www.khanacademy.org/video?v=gDJtOIxDu78/description type=video name=pH of a Weak Acid thumb=https://i.ytimg.com/vi/dencuBNp_Ck/default.jpg URL=http://www.youtube.com/watch?v=dencuBNp_Ck description=Calculating the pH of a weak acid More free lessons at: http://www.khanacademy.org/video?v=dencuBNp_Ck/description type=video name=pH, pOH of strong acids and bases | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/tS2YJPmKOFQ/default.jpg URL=http://www.youtube.com/watch?v=tS2YJPmKOFQ description=Deriving the relationship between pKw, pH, and pOH. Calculating the pH or pOH of strong acids and bases. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/acids-and-bases-topic/acids-and-bases/v/strong-acids-and-strong-bases?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/acids-and-bases-topic/acids-and-bases/v/introduction-to-definition-of-ph?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Acid Base Introduction thumb=https://i.ytimg.com/vi/vShCnTY1-T0/default.jpg URL=http://www.youtube.com/watch?v=vShCnTY1-T0 description=Arrhenius, Bronsted Lowry, and Lewis Acids and Bases. More free lessons at: http://www.khanacademy.org/video?v=vShCnTY1-T0/description type=video name=Introduction to pH, pOH, and pKw thumb=https://i.ytimg.com/vi/2q4vSKwaBtw/default.jpg URL=http://www.youtube.com/watch?v=2q4vSKwaBtw description=Autoionization of water into hydronium and hydroxide ions. pH, pOH, and pKa. More free lessons at: http://www.khanacademy.org/video?v=2q4vSKwaBtw/description type=video name=Le Chatelier's principle | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/4-fEvpVNTlE/default.jpg URL=http://www.youtube.com/watch?v=4-fEvpVNTlE description=How Le Chatelier's Principle predicts changes in concentration when "stressing" reactions at equilibrium. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/factors-that-affect-chemical-equilibrium/v/intro-to-reaction-quotient-q?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/small-x-approximation-for-large-kc?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Heterogeneous equilibrium | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/TsXlTWgyItw/default.jpg URL=http://www.youtube.com/watch?v=TsXlTWgyItw description=Ignoring the solvent or the solid state molecules when calculating the equilibrium constant. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/small-x-approximation-for-small-kc?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/keq-derivation-intuition-can-skip-bit-mathy?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Keq intuition | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/ONBJo7dXJm8/default.jpg URL=http://www.youtube.com/watch?v=ONBJo7dXJm8 description=A probabilistic look at how molecules react to develop the intuition behind the equilibrium constant formula. Not necessary to keep progressing through chemistry. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/keq-derivation-intuition-can-skip-bit-mathy?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/reactions-in-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mini-video on ion size | Periodic table | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/HBi8xjMchZc/default.jpg URL=http://www.youtube.com/watch?v=HBi8xjMchZc description=Correcting a mistake and learning a bit about ion size. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/periodic-table/periodic-table-trends-bonding/v/ionization-energy-trends Missed the previous lesson? https://www.khanacademy.org/science/chemistry/periodic-table/periodic-table-trends-bonding/v/atomic-and-ionic-radii Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Reactions in equilibrium | Chemical equilibrium | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/CGJjjm7-DJ4/default.jpg URL=http://www.youtube.com/watch?v=CGJjjm7-DJ4 description=Equilibrium reactions and constants. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/keq-intuition-mathy-and-not-necessary-to-progress?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/mixtures-and-solutions/v/boiling-point-elevation-and-freezing-point-supression?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to kinetics | Energy and enzymes | Biology | Khan Academy thumb=https://i.ytimg.com/vi/__zy-oOLPug/default.jpg URL=http://www.youtube.com/watch?v=__zy-oOLPug description=Kinetics, activation energy, activated complex and catalysts. Watch the next lesson: https://www.khanacademy.org/science/biology/energy-and-enzymes/introduction-to-enzymes/v/enzymes?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/energy-and-enzymes/atp-reaction-coupling/v/reaction-coupling-to-create-glucose-6-phosphate?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Boiling point elevation and freezing point depression | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/z9LxdqYntlU/default.jpg URL=http://www.youtube.com/watch?v=z9LxdqYntlU description=Raising or lowering the boiling or freezing point of a solution by adding solute. Watch the next lesson: https://www.khanacademy.org/science/chemistry/chemical-equilibrium/equilibrium-constant/v/reactions-in-equilibrium?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/mixtures-and-solutions/v/suspensions-colloids-and-solutions?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Request for Videos from Users! thumb=https://i.ytimg.com/vi/-OpCpHODz04/default.jpg URL=http://www.youtube.com/watch?v=-OpCpHODz04 description=Upload videos to youtube telling us what Khan Academy has done for you (and point us to them)!/description type=video name=Vapor pressure | States of matter and intermolecular forces | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/hA5jddDYcyg/default.jpg URL=http://www.youtube.com/watch?v=hA5jddDYcyg description=Vapor pressure, volatility, and evaporation. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/phase-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/change-of-state-example?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Phase diagrams | States of matter and intermolecular forces | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/Qp87Z4m8R-w/default.jpg URL=http://www.youtube.com/watch?v=Qp87Z4m8R-w description=Understanding and interpreting phase diagrams Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/introduction-to-intermolecular-forces/v/van-der-waals-forces?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/vapor-pressure?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chilling water problem | States of matter and intermolecular forces | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/lsXcKgjg8Hs/default.jpg URL=http://www.youtube.com/watch?v=lsXcKgjg8Hs description=How much ice at -10 degrees C is necessary to get 500 g of water down to 0 degrees C? Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/change-of-state-example?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/specific-heat-heat-of-fusion-and-vaporization?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Specific heat, heat of fusion and vaporization example | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/zz4KbvF_X-0/default.jpg URL=http://www.youtube.com/watch?v=zz4KbvF_X-0 description=Specific heat and phase changes: Calculating how much heat is needed to convert 200 g of ice at -10 degrees C to 110 degree steam. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/chilling-water-problem?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/specific-heat-and-latent-leat-of-fusion-and-vaporization-2?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=States of matter follow-up | States of matter and intermolecular forces | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/WenwtcuqOj8/default.jpg URL=http://www.youtube.com/watch?v=WenwtcuqOj8 description=More on plasma and hydrogen bonds. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/specific-heat-and-latent-leat-of-fusion-and-vaporization-2?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/states-of-matter?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=States of matter | States of matter and intermolecular forces | Chemistry | Khan Academy thumb=https://i.ytimg.com/vi/pKvo0XWZtjo/default.jpg URL=http://www.youtube.com/watch?v=pKvo0XWZtjo description=Introduction to the states or phases of matter. Watch the next lesson: https://www.khanacademy.org/science/chemistry/states-of-matter-and-intermolecular-forces/states-of-matter/v/states-of-matter-follow-up?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Missed the previous lesson? https://www.khanacademy.org/science/chemistry/gases-and-kinetic-molecular-theory/ideal-gas-laws/v/maxwell-boltzmann-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=chemistry Chemistry on Khan Academy: Did you know that everything is made out of chemicals? Chemistry is the study of matter: its composition, properties, and reactivity. This material roughly covers a first-year high school or college course, and a good understanding of algebra is helpful. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Chemistry channel: https://www.youtube.com/channel/UCyEot66LrwWFEMONvrIBh3A?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Balancing Chemical Equations thumb=https://i.ytimg.com/vi/RnGu3xO2h74/default.jpg URL=http://www.youtube.com/watch?v=RnGu3xO2h74 description=The art of balancing equations in chemistry! More free lessons at: http://www.khanacademy.org/video?v=RnGu3xO2h74 About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Formula from Mass Composition thumb=https://i.ytimg.com/vi/xatVrAh2U0E/default.jpg URL=http://www.youtube.com/watch?v=xatVrAh2U0E description=Figuring out the empirical formula from a molecules mass composition/description type=video name=Molecular and Empirical Formulas thumb=https://i.ytimg.com/vi/gfBcM3uvWfs/default.jpg URL=http://www.youtube.com/watch?v=gfBcM3uvWfs description=Introduction to molecular and empirical formulas. Calculating molecular mass. More free lessons at: http://www.khanacademy.org/video?v=gfBcM3uvWfs/description type=video name=Other Periodic Table Trends thumb=https://i.ytimg.com/vi/XMLd-O6PgVs/default.jpg URL=http://www.youtube.com/watch?v=XMLd-O6PgVs description=Electronegativity, metallic nature and atomic radius./description type=video name=Periodic Table Trends: Ionization Energy thumb=https://i.ytimg.com/vi/ywqg9PorTAw/default.jpg URL=http://www.youtube.com/watch?v=ywqg9PorTAw description=What an ion is. Using the periodic table to understand how difficult it is to ionize an atom. More free lessons at: http://www.khanacademy.org/video?v=ywqg9PorTAw/description type=video name=Valence Electrons thumb=https://i.ytimg.com/vi/1TZA171yxY4/default.jpg URL=http://www.youtube.com/watch?v=1TZA171yxY4 description=Looking at valence electrons to figure out reactivity More free lessons at: http://www.khanacademy.org/video?v=1TZA171yxY4/description type=video name=Groups of the Periodic Table thumb=https://i.ytimg.com/vi/LDHg7Vgzses/default.jpg URL=http://www.youtube.com/watch?v=LDHg7Vgzses description=Properties of alkali, alkaline earth and transition metals. Halogens and noble gases. More free lessons at: http://www.khanacademy.org/video?v=LDHg7Vgzses/description type=video name=Introduction to the atom | Chemistry of life | Biology | Khan Academy thumb=https://i.ytimg.com/vi/1xSQlwWGT8M/default.jpg URL=http://www.youtube.com/watch?v=1xSQlwWGT8M description=The atom, proton, neutron and electron Watch the next lesson: https://www.khanacademy.org/science/biology/chemistry--of-life/electron-shells-and-orbitals/v/orbitals?utm_source=YT&utm_medium=Desc&utm_campaign=biology Missed the previous lesson? https://www.khanacademy.org/science/biology/chemistry--of-life/elements-and-atoms/v/elements-and-atoms?utm_source=YT&utm_medium=Desc&utm_campaign=biology Biology on Khan Academy: Life is beautiful! From atoms to cells, from genes to proteins, from populations to ecosystems, biology is the study of the fascinating and intricate systems that make life possible. Dive in to learn more about the many branches of biology and why they are exciting and important. Covers topics seen in a high school or first-year college biology course. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's Biology channel: https://www.youtube.com/channel/UC82qE46vcTn7lP4tK_RHhdg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Two Passing Bicycles Word Problem thumb=https://i.ytimg.com/vi/Nx4Xk5S4HQA/default.jpg URL=http://www.youtube.com/watch?v=Nx4Xk5S4HQA description=Algebra word problem involving two bicycles passing each other. More free lessons at: http://www.khanacademy.org/video?v=Nx4Xk5S4HQA/description type=video name=Passed Bike Word Problem thumb=https://i.ytimg.com/vi/P03ljxjy8Nw/default.jpg URL=http://www.youtube.com/watch?v=P03ljxjy8Nw description=Fun algebra word problem involving a train passing a bike. More free lessons at: http://www.khanacademy.org/video?v=P03ljxjy8Nw/description type=video name=Passing Trains thumb=https://i.ytimg.com/vi/qLLjD-g_9ms/default.jpg URL=http://www.youtube.com/watch?v=qLLjD-g_9ms description=Trains passing at different rates. More free lessons at: http://www.khanacademy.org/video?v=qLLjD-g_9ms/description type=video name=Overtaking Word Problem thumb=https://i.ytimg.com/vi/LYWUHaWwY0c/default.jpg URL=http://www.youtube.com/watch?v=LYWUHaWwY0c description=3 people overtaking each other at different rates More free lessons at: http://www.khanacademy.org/video?v=LYWUHaWwY0c/description type=video name=Early train word problem | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/uA3m8vbd2wc/default.jpg URL=http://www.youtube.com/watch?v=uA3m8vbd2wc description=Fun word problem that is almost a brain teaser. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/patterns-in-sequences-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/More-equation-practice/v/basic-rate-problem?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Officer on Horseback thumb=https://i.ytimg.com/vi/IPJAi5zWu9U/default.jpg URL=http://www.youtube.com/watch?v=IPJAi5zWu9U description=Not quite a brain teaser but fun nonetheless! More free lessons at: http://www.khanacademy.org/video?v=IPJAi5zWu9U/description type=video name=EBITDA | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/v4Fq9LEspzw/default.jpg URL=http://www.youtube.com/watch?v=v4Fq9LEspzw description=Review of Enterprise Value and comparing it to EBITDA. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/raising-money-for-a-startup?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/enterprise-value?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Enterprise value | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/pa92UdJCaos/default.jpg URL=http://www.youtube.com/watch?v=pa92UdJCaos description=Solving the P/E conundrum by looking at a different valuation metric (enterprise value).Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/ebitda?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/p-e-conundrum?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=P/E conundrum | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/VrFbXxkl9JU/default.jpg URL=http://www.youtube.com/watch?v=VrFbXxkl9JU description=A situation where the price to earnings ratio seems to not fairly price an asset. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/enterprise-value?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/amortization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Amortization | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/XfR3JSkSkJM/default.jpg URL=http://www.youtube.com/watch?v=XfR3JSkSkJM description=Introduction to amortization. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/p-e-conundrum?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/depreciation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Depreciation | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/a5sFUXkxyGc/default.jpg URL=http://www.youtube.com/watch?v=a5sFUXkxyGc description=Depreciation a capital asset. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/amortization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/roa-discussion-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=P/E discussion | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/V-rko8jgJ9o/default.jpg URL=http://www.youtube.com/watch?v=V-rko8jgJ9o description=Discussion of the price-to-earnings ratio. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/roa-discussion-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/introduction-to-the-price-to-earnings-ratio?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ROA discussion 2 | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/R_5slDeVCQk/default.jpg URL=http://www.youtube.com/watch?v=R_5slDeVCQk description=More on the return on asset discussion. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/depreciation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/roa-discussion-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=ROA discussion 1 | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Oh4H3BJX1ZI/default.jpg URL=http://www.youtube.com/watch?v=Oh4H3BJX1ZI description=A discussion of the various ways to measure return on assets. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/roa-discussion-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/p-e-discussion?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the price-to-earnings ratio | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/cppxO67e6eo/default.jpg URL=http://www.youtube.com/watch?v=cppxO67e6eo description=Price to Earnings Ratio (or P/E ratio). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/p-e-discussion?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/earnings-and-eps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Earnings and EPS | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/RouNXdkC0do/default.jpg URL=http://www.youtube.com/watch?v=RouNXdkC0do description=Earnings, EPS (earnings per share) and how they relate to the income statement and balance sheet. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/introduction-to-the-price-to-earnings-ratio?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/introduction-to-the-income-statement?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the income statement | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Z7C4cz2HkeY/default.jpg URL=http://www.youtube.com/watch?v=Z7C4cz2HkeY description=The income statement, revenue, gross profit, operating profit, net income, ROA and ROE. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/earnings-and-eps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/price-and-market-capitalization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Price and market capitalization | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/fa-VZ-SDxgY/default.jpg URL=http://www.youtube.com/watch?v=fa-VZ-SDxgY description=Introduction to price and market capitalization. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/introduction-to-the-income-statement?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/market-value-of-assets?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Life is full of people who will try to convince you that something is a good or bad idea by spouting technical jargon. Most of them have no idea what they are talking about. Don't be one of those people or their victims when it comes to stocks. From P/E rations to EV/EBITDA, we've got your back! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=3D path counting brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/wRxzDOloS3o/default.jpg URL=http://www.youtube.com/watch?v=wRxzDOloS3o description=Extending the path counting to three dimensions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/amc-10/2013-amc-10-a/v/2013-amc-10-a-21-amc-12-a-17?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/path-counting-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Path counting brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/9QduzzW10uA/default.jpg URL=http://www.youtube.com/watch?v=9QduzzW10uA description=Counting paths in a square. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/3-d-path-counting-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/light-bulb-switching-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Light bulb switching brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/WNhxkpmVQYw/default.jpg URL=http://www.youtube.com/watch?v=WNhxkpmVQYw description=Turning light bulbs on and off. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/path-counting-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/forehead-numbers-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric equations 4 | Parametric equations and polar coordinates | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/IReD6c_njOY/default.jpg URL=http://www.youtube.com/watch?v=IReD6c_njOY description=Parametric Equations that "move" along the same path Watch the next lesson: https://www.khanacademy.org/math/precalculus/parametric_equations/polar_coor/v/polar-coordinates-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/parametric_equations/parametric/v/parametric-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric equations 3 | Parametric equations and polar coordinates | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/57BiI_iD3-U/default.jpg URL=http://www.youtube.com/watch?v=57BiI_iD3-U description=Removing the parameter from a more interesting example Watch the next lesson: https://www.khanacademy.org/math/precalculus/parametric_equations/parametric/v/parametric-equations-4?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/parametric_equations/parametric/v/parametric-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic multiplication | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/mvOkMYCygps/default.jpg URL=http://www.youtube.com/watch?v=mvOkMYCygps description=Introduction to multiplication Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/e/multiplication_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/multiplication-2-the-multiplication-tables?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multiplication_fun/v/number-line-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric equations 2 | Parametric equations and polar coordinates | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/wToSIQJ2o_8/default.jpg URL=http://www.youtube.com/watch?v=wToSIQJ2o_8 description=Eliminating the parameter Watch the next lesson: https://www.khanacademy.org/math/precalculus/parametric_equations/parametric/v/parametric-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/parametric_equations/parametric/v/parametric-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Parametric equations 1 | Parametric equations and polar coordinates | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/m6c6dlmUT1c/default.jpg URL=http://www.youtube.com/watch?v=m6c6dlmUT1c description=Introduction to parametric equations Watch the next lesson: https://www.khanacademy.org/math/precalculus/parametric_equations/parametric/v/parametric-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/reduced_row_echelon/v/matrices-reduced-row-echelon-form-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Focus and Directrix of a Parabola 2 thumb=https://i.ytimg.com/vi/1Jm9rREA-uA/default.jpg URL=http://www.youtube.com/watch?v=1Jm9rREA-uA description=Finding the focus and directrix of a parabola More free lessons at: http://www.khanacademy.org/video?v=1Jm9rREA-uA/description type=video name=Parabola Focus and Directrix 1 thumb=https://i.ytimg.com/vi/ZJf9shWlMz0/default.jpg URL=http://www.youtube.com/watch?v=ZJf9shWlMz0 description=Parabola as the locus of all points equidistant from a point and a line More free lessons at: http://www.khanacademy.org/video?v=ZJf9shWlMz0/description type=video name=Partial fraction expansion 3 | Partial fraction expansion | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/A52fEdPn9lg/default.jpg URL=http://www.youtube.com/watch?v=A52fEdPn9lg description=Dealing with repeated factors Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/partial-fraction-expans/partial-fraction/e/partial_fraction_expansion_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/limit_topic_precalc/limits_precalc/v/introduction-to-limits-hd?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/partial-fraction-expans/partial-fraction/v/partial-fraction-expansion-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial fraction expansion 2 | Partial fraction expansion | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/6FrPLJY0rqM/default.jpg URL=http://www.youtube.com/watch?v=6FrPLJY0rqM description=A more complex problem Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/partial-fraction-expans/partial-fraction/e/partial_fraction_expansion_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/partial-fraction-expans/partial-fraction/v/partial-fraction-expansion-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/hyperbolic_trig_topic/hyperbolic_trig_intro/v/hyperbolic-trig-functions-and-the-unit-hyperbola?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial Fraction Expansion 1.5 thumb=https://i.ytimg.com/vi/mv3dMJfR-D0/default.jpg URL=http://www.youtube.com/watch?v=mv3dMJfR-D0 description=Longer way to solve for A and B in part 1/description type=video name=Partial fraction expansion 1 | Partial fraction expansion | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/S-XKGBesRzk/default.jpg URL=http://www.youtube.com/watch?v=S-XKGBesRzk description=Introduction to partial fraction expansion Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/partial-fraction-expans/partial-fraction/e/partial_fraction_expansion_1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/partial-fraction-expans/partial-fraction/v/partial-fraction-expansion-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/hyperbolic_trig_topic/hyperbolic_trig_intro/v/hyperbolic-trig-functions-and-the-unit-hyperbola?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Hyperbola foci | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/HPRFmu7JsKU/default.jpg URL=http://www.youtube.com/watch?v=HPRFmu7JsKU description=Proof of the hyperbola foci formula Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/identifying-conics-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/foci-of-a-hyperbola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Foci of a hyperbola | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/S0Fd2Tg2v7M/default.jpg URL=http://www.youtube.com/watch?v=S0Fd2Tg2v7M description=Introduction to the foci (focuses) of a hyperbola Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/proof-hyperbola-foci?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/conic-sections-hyperbolas-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Foci of an ellipse | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/QR2vxfwiHAU/default.jpg URL=http://www.youtube.com/watch?v=QR2vxfwiHAU description=Calculating the foci (or focuses) of an Ellipse. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/e/ellipse_intuition?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/v/ellipse-focus-intuition-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/v/conic-sections-intro-to-ellipses?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying circles and parabolas from equations | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/Dru0RHgfp2g/default.jpg URL=http://www.youtube.com/watch?v=Dru0RHgfp2g description=Let's identify (and graph) a couple of more conics! Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/algebra-conic-sections?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/identifying-conics-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying a hyperbola from an equation | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/cvA4VN1dpuY/default.jpg URL=http://www.youtube.com/watch?v=cvA4VN1dpuY description=Part 2 of identifying and graphing conic sections Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/conic-identification-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/identifying-conics-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Identifying an ellipse from equation | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/LSJuu4Qm2qQ/default.jpg URL=http://www.youtube.com/watch?v=LSJuu4Qm2qQ description=Part 1 of identifying and graphic conic sections Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/identifying-conics-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/proof-hyperbola-foci?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conic sections: Hyperbolas 3 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/lGQw-W1PxBE/default.jpg URL=http://www.youtube.com/watch?v=lGQw-W1PxBE description=Part 3 of the intro to hyperbolas Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/e/equation_of_a_hyperbola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/foci-of-a-hyperbola?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/conic-sections-hyperbolas-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conic sections: Hyperbolas 2 | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/hl58vTCqVIY/default.jpg URL=http://www.youtube.com/watch?v=hl58vTCqVIY description=Continuation of the intro to hyperbolas Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/conic-sections-hyperbolas-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/conic-sections-intro-to-hyperbolas?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conic sections: Intro to hyperbolas | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/pzSyOTkAsY4/default.jpg URL=http://www.youtube.com/watch?v=pzSyOTkAsY4 description=Introduction to the hyperbola Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/hyperbolas-precalc/v/conic-sections-hyperbolas-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/parabolas_precalc/v/finding-focus-and-directrix-from-vertex?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conic sections: Intro to ellipse | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/lvAYFUIEpFI/default.jpg URL=http://www.youtube.com/watch?v=lvAYFUIEpFI description=Introduction to the ellipse. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/e/equation_of_an_ellipse?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/ellipses-precalc/v/foci-of-an-ellipse?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/v/completing-the-square-to-write-equation-in-standard-form-of-a-circle?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conic Sections: Intro to Circles thumb=https://i.ytimg.com/vi/6r1GQCxyMKI/default.jpg URL=http://www.youtube.com/watch?v=6r1GQCxyMKI description=Introduction to the Circle/description type=video name=Introduction to conic sections | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/0A7RR0oy2ho/default.jpg URL=http://www.youtube.com/watch?v=0A7RR0oy2ho description=What are conic sections and why are they called "conic sections"? Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/conics_precalc/conic_section_intro/e/recognizing_conic_sections?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/circles-tutorial-precalc/v/radius-and-center-for-a-circle-equation-in-standard-form?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/v/algebra-ii-imaginary-and-complex-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Clarification on last integral example video thumb=https://i.ytimg.com/vi/r-cL-YwbLh4/default.jpg URL=http://www.youtube.com/watch?v=r-cL-YwbLh4 description=Just clarifying some things about the last integral example video./description type=video name=Introduction to the normal distribution | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/hgtMWR3TFnY/default.jpg URL=http://www.youtube.com/watch?v=hgtMWR3TFnY description=Exploring the normal distribution Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/normal-distribution-excel-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/regression/regression-correlation/v/covariance-and-the-regression-line?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More integral examples thumb=https://i.ytimg.com/vi/yXNe2s2KWT8/default.jpg URL=http://www.youtube.com/watch?v=yXNe2s2KWT8 description=Integrals involving u-substitution and strange-looking bounds./description type=video name=Normal distribution excel exercise | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/yTGEMoaWDCQ/default.jpg URL=http://www.youtube.com/watch?v=yTGEMoaWDCQ description=(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials. Watch the next lesson: https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/ck12-org-normal-distribution-problems-qualitative-sense-of-normal-distributions?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/statistics-inferential/normal_distribution/v/introduction-to-the-normal-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Forehead numbers brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/jqpQPxWj8gE/default.jpg URL=http://www.youtube.com/watch?v=jqpQPxWj8gE description=The perfect logicians are at it again. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/light-bulb-switching-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/blue-forehead-room-solution?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Khan Academy Big Picture thumb=https://i.ytimg.com/vi/jGIcbNV0dJs/default.jpg URL=http://www.youtube.com/watch?v=jGIcbNV0dJs description=50 minute presentation of what the Khan Academy is about. Adapted from a talk given at the UN/Rotary World Peace Conference./description type=video name=Khan Academy Resource Overview thumb=https://i.ytimg.com/vi/2uUZXj8ugCM/default.jpg URL=http://www.youtube.com/watch?v=2uUZXj8ugCM description=A survey of the things we've made./description type=video name=Alien abduction brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/K4pocYXOmTQ/default.jpg URL=http://www.youtube.com/watch?v=K4pocYXOmTQ description=Saving Earth from becoming a mushroom farm. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/brain-teaser-blue-forehead-room?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/toggler-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Toggler brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/l3OkPYhDi9w/default.jpg URL=http://www.youtube.com/watch?v=l3OkPYhDi9w description=Separating the truthteller from the togglers! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/alien-abduction-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/liar-truthteller-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Liar truth-teller brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/69rDtSpshAw/default.jpg URL=http://www.youtube.com/watch?v=69rDtSpshAw description=How to get correct advice when you can only ask one question from either a liar or a truth-teller (when you don't know who is what). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/toggler-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/finding-heavier-ball?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Blue forehead room solution | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/-xYkTJFbuM0/default.jpg URL=http://www.youtube.com/watch?v=-xYkTJFbuM0 description=Do not watch before Blue Forehead Room. THIS IS THE SOLUTION! Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/forehead-numbers-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/brain-teaser-blue-forehead-room?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Blue forehead room brain teaser | Puzzles | Math for fun and glory | Khan Academy thumb=https://i.ytimg.com/vi/rBaCDC52NOY/default.jpg URL=http://www.youtube.com/watch?v=rBaCDC52NOY description=What happens when 100 perfect logicians have to figure out if they each have a blue forehead? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/blue-forehead-room-solution?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-glory/puzzles/brain-teasers/v/alien-abduction-brain-teaser?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Math For Fun and Glory on Khan Academy: Strengthen your brain with some mind bending riddles and puzzles. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Math For Fun and Glory channel: https://www.youtube.com/channel/UCrHuSfezaER8svQZiec1mIQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Solving 3 Equations with 3 Unknowns thumb=https://i.ytimg.com/vi/woqq3Sls1d8/default.jpg URL=http://www.youtube.com/watch?v=woqq3Sls1d8 description=Solving 3 equations with 3 unknowns (old video from July 2008)/description type=video name=Epsilon-delta limit definition 2 | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Fdu5-aNJTzU/default.jpg URL=http://www.youtube.com/watch?v=Fdu5-aNJTzU description=Using the epsilon delta definition to prove a limit Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/intro_differential_calc/v/newton-leibniz-and-usain-bolt?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/epsilon_delta/v/epsilon-delta-limit-definition-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/-ejyeII0i5c/default.jpg URL=http://www.youtube.com/watch?v=-ejyeII0i5c description=Introduction to the Epsilon Delta Definition of a Limit. Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/epsilon_delta/v/epsilon-delta-limit-definition-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/epsilon_delta/v/proving-a-limit-using-epsilon-delta-definition?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CPI index | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/pRIELoITIHI/default.jpg URL=http://www.youtube.com/watch?v=pRIELoITIHI description=Discussion of inflation, the CPI index and owners' equivalent rent. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-scenarios-tutorial/v/moderate-inflation-in-a-good-economy?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/inflation-basics-tutorial/v/inflation-data?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: $1 went a lot further in 1900 than today (you could probably buy a good meal for the family for $1 back then). Why? And how do we measure how much more expensive things have gotten (i.e., inflation)? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unemployment thumb=https://i.ytimg.com/vi/vUOiOi-XaoQ/default.jpg URL=http://www.youtube.com/watch?v=vUOiOi-XaoQ description=Analyzing unemployment data to show that "real" unemployment is worse than the headline numbers show. More free lessons at: http://www.khanacademy.org/video?v=vUOiOi-XaoQ/description type=video name=Geithner 7 thumb=https://i.ytimg.com/vi/zW2vRzO0678/default.jpg URL=http://www.youtube.com/watch?v=zW2vRzO0678 description=More on why the Geithner Plan is nothing but a huge subsidy to the banks and large bond shops./description type=video name=Geithner 6: Legacy Securities thumb=https://i.ytimg.com/vi/xp_feHfbIZU/default.jpg URL=http://www.youtube.com/watch?v=xp_feHfbIZU description=Analysis of the legacy securities program/description type=video name=Geithner plan 3 | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/0FxRYePmogU/default.jpg URL=http://www.youtube.com/watch?v=0FxRYePmogU description=More exotic ways that a bank could buy transfer exposure to the taxpayer. Created bySal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-iii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan. Videos on the Geithner Plan to solve the continuing banking crisis in early 2009. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Paulson's Real Compensation thumb=https://i.ytimg.com/vi/bJ4J6hxTcgI/default.jpg URL=http://www.youtube.com/watch?v=bJ4J6hxTcgI description=Henry Paulson's motivation for becoming Treasury Secretary./description type=video name=Inflation and deflation 3: Obama stimulus plan | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/sZRkERfzzn4/default.jpg URL=http://www.youtube.com/watch?v=sZRkERfzzn4 description=Is the stimulus large enough to offset the demand shock caused by the contraction in credit? Will it lead to inflation? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/deflation-tutorial/v/deflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/inflation-deflation-capacity-utilization-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflation, deflation, and capacity utilization 2 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/cugQ4z4cJF8/default.jpg URL=http://www.youtube.com/watch?v=cugQ4z4cJF8 description=More on inflation and capacity utilization. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/inflation-deflation-3-obama-stimulus-plan?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/inflation-deflation-capacity-utilization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Inflation, deflation, and capacity utilization | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/LXrPdFn7Gn4/default.jpg URL=http://www.youtube.com/watch?v=LXrPdFn7Gn4 description=A discussion of inflation and deflation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/inflation-deflation-capacity-utilization-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/cupcake-economics-3 ?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geithner 5: A better solution thumb=https://i.ytimg.com/vi/kpqSeXpiM6k/default.jpg URL=http://www.youtube.com/watch?v=kpqSeXpiM6k description=A better way to solve the "liquidity" and "price discovery" problem. More free lessons at: http://www.khanacademy.org/video?v=kpqSeXpiM6k/description type=video name=Geithner plan 5 | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ajl1UdtYUCA/default.jpg URL=http://www.youtube.com/watch?v=ajl1UdtYUCA description=Quantifying the value of the put option. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-5-a-better-solution?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-iii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan. Videos on the Geithner Plan to solve the continuing banking crisis in early 2009. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geithner plan 4 | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/_ka1HZS-Egc/default.jpg URL=http://www.youtube.com/watch?v=_ka1HZS-Egc description=Constructing an investment where an investor gets the same upside while the program limits the downside. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-iv?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-2-5?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan. Videos on the Geithner Plan to solve the continuing banking crisis in early 2009. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geithner plan 2 | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/n-arbfLTCtI/default.jpg URL=http://www.youtube.com/watch?v=n-arbfLTCtI description=More on the Geithner Plan. The problem of banks buying the assets from themselves. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-2-5?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-i?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan. Videos on the Geithner Plan to solve the continuing banking crisis in early 2009. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Geithner plan 1 | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ervHbKa7R5g/default.jpg URL=http://www.youtube.com/watch?v=ervHbKa7R5g description=Overview of the Geithner Plan and the problem it is supposed to solve. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/geithner-plan/v/geithner-plan-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bank-bailout/v/cnn-understanding-the-crisisutm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: The poop really started to hit the fan in the fall of 2008. When the new administration took office in early 2009, the poop was still there. This is tutorial explains an attempt--probably not a well thought out one--to clean the poop and slow the fan. Videos on the Geithner Plan to solve the continuing banking crisis in early 2009. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cupcake economics 3 | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/8x1-TeDxblU/default.jpg URL=http://www.youtube.com/watch?v=8x1-TeDxblU description=Using our spreadsheet to show why prices decrease when utilization is low and prices increase when utilization is high. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/inflation-deflation-capacity-utilization?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/cupcake-economics-2 ?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cupcake economics 2 | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/-LTXzYXaAuk/default.jpg URL=http://www.youtube.com/watch?v=-LTXzYXaAuk description=More analysis of the cupcake business. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/cupcake-economics-3 ?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/economics-of-a-cupcake-factory?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Economics of a cupcake factory | Inflation | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/XDIBJyNnLOU/default.jpg URL=http://www.youtube.com/watch?v=XDIBJyNnLOU description=Economics of a simple business leading up to a discussion on inflation/deflation. Touching on income statements. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/cap-util-inflation/v/cupcake-economics-2 ?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/inflation-tutorial/real-nominal-return-tut/v/relation-between-nominal-and-real-returns-and-inflation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This tutorial starts with a very "micro" view of when firms decide to raise (or lower prices). It then jumps back to the macro view to discuss how capacity utilization can impact prices. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Law of large numbers | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/VpuN8vCQ--M/default.jpg URL=http://www.youtube.com/watch?v=VpuN8vCQ--M description=Introduction to the law of large numbers Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/expected-value-insurance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Is short selling bad? | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/zAkMhEqWFF0/default.jpg URL=http://www.youtube.com/watch?v=zAkMhEqWFF0 description=A discussion of the virtues and/or vices of short selling. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/company-statements-capital-struc/v/gross-and-operating-profit?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/shorting-stock-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Can you sell something that you borrowed from someone else? Why, yes, you can and it is called "shorting". Why would you do this? Well, you can now make money if the price goes down. Is this bad? This tutorial has your answers. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shorting stock 2 | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ucAUriWEFo8/default.jpg URL=http://www.youtube.com/watch?v=ucAUriWEFo8 description=More on the mechanics of shorting stock. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/is-short-selling-bad?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/shorting-stock?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Can you sell something that you borrowed from someone else? Why, yes, you can and it is called "shorting". Why would you do this? Well, you can now make money if the price goes down. Is this bad? This tutorial has your answers. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Shorting stock | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/-IDmLERenrU/default.jpg URL=http://www.youtube.com/watch?v=-IDmLERenrU description=What does it mean to short a stock? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/shorting-stock-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/basic-shorting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Can you sell something that you borrowed from someone else? Why, yes, you can and it is called "shorting". Why would you do this? Well, you can now make money if the price goes down. Is this bad? This tutorial has your answers. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2/10/2009 CNN "Appearance" thumb=https://i.ytimg.com/vi/aJc4_OFeqWk/default.jpg URL=http://www.youtube.com/watch?v=aJc4_OFeqWk description=Khan Academy video on "bad banks" on CNN/description type=video name=Poisson process 2 | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Jkr4FSrNEVY/default.jpg URL=http://www.youtube.com/watch?v=Jkr4FSrNEVY description=More of the derivation of the Poisson Distribution. Watch the next lesson: https://www.khanacademy.org/math/probability/regression/prob-stats-scatter-plots/v/scatter-plot-interpreting?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/poisson_process/v/poisson-process-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Poisson process 1 | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/3z-M6sbGIZ0/default.jpg URL=http://www.youtube.com/watch?v=3z-M6sbGIZ0 description=Introduction to Poisson Processes and the Poisson Distribution. Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/poisson_process/v/poisson-process-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/expected-value-of-binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expected value of binomial distribution | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/SqcxYnNlI3Y/default.jpg URL=http://www.youtube.com/watch?v=SqcxYnNlI3Y description=Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/poisson_process/v/poisson-process-1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/binomial_distribution/v/graphing-basketball-binomial-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Expected Value: E(X) thumb=https://i.ytimg.com/vi/j__Kredt7vY/default.jpg URL=http://www.youtube.com/watch?v=j__Kredt7vY description=Expected value of a random variable/description type=video name=Binomial Distribution 3 thumb=https://i.ytimg.com/vi/vKNpQ_KTXvE/default.jpg URL=http://www.youtube.com/watch?v=vKNpQ_KTXvE description=Basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=vKNpQ_KTXvE/description type=video name=Binomial Distribution 2 thumb=https://i.ytimg.com/vi/FI8xtVaI068/default.jpg URL=http://www.youtube.com/watch?v=FI8xtVaI068 description=More on the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=FI8xtVaI068/description type=video name=Binomial Distribution 4 thumb=https://i.ytimg.com/vi/H0ZgOGWUcJw/default.jpg URL=http://www.youtube.com/watch?v=H0ZgOGWUcJw description=Using Excel to visualize the basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=H0ZgOGWUcJw/description type=video name=Binomial Distribution 1 thumb=https://i.ytimg.com/vi/O12yTz_8EOw/default.jpg URL=http://www.youtube.com/watch?v=O12yTz_8EOw description=Introduction to the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=O12yTz_8EOw/description type=video name=Probability density functions | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Fvi9A_tEmXQ/default.jpg URL=http://www.youtube.com/watch?v=Fvi9A_tEmXQ description=Probability density functions for continuous random variables. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/probability-models?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/expected-value/v/term-life-insurance-and-death-probability?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/discrete-probability-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Random Variables thumb=https://i.ytimg.com/vi/IYdiKeQ9xEI/default.jpg URL=http://www.youtube.com/watch?v=IYdiKeQ9xEI description=Introduction to random variables and probability distribution functions. More free lessons at: http://www.khanacademy.org/video?v=IYdiKeQ9xEI/description type=video name=Repurchase Agreements (Repo transactions) thumb=https://i.ytimg.com/vi/QWninXOAMXE/default.jpg URL=http://www.youtube.com/watch?v=QWninXOAMXE description=Mechanics of repurchase agreements (repo transactions/loans) More free lessons at: http://www.khanacademy.org/video?v=QWninXOAMXE/description type=video name=Federal Reserve Balance Sheet thumb=https://i.ytimg.com/vi/MILF-9GeMDQ/default.jpg URL=http://www.youtube.com/watch?v=MILF-9GeMDQ description=Analysis of the federal reserve balance sheet as of Feb 2007. More free lessons at: http://www.khanacademy.org/video?v=MILF-9GeMDQ/description type=video name=The discount rate | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/FxkTSjctXdk/default.jpg URL=http://www.youtube.com/watch?v=FxkTSjctXdk description=The discount rate and window. Lender of last resort. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/banking-and-money/v/repurchase-agreements-repo-transactions?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/banking-and-money/v/banking-18-big-picture-discussion?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: We all use money and most of us use banks. Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking). This older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Another u-subsitution example thumb=https://i.ytimg.com/vi/IAbSeAk5RJU/default.jpg URL=http://www.youtube.com/watch?v=IAbSeAk5RJU description=Finding the antiderivative using u-substitution./description type=video name=Chapter 11: Bankruptcy restructuring | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/mxVWyzzMOXM/default.jpg URL=http://www.youtube.com/watch?v=mxVWyzzMOXM description=Chapter 11: Restructuring through a bankruptcy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/dilution-tutorial/v/stock-dilution?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/chapter-7-bankruptcy-liquidation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Chapter 7: Bankruptcy liquidation | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/-oW4M3vpuRM/default.jpg URL=http://www.youtube.com/watch?v=-oW4M3vpuRM description=Introduction to bankruptcy liquidation (Chapter 7). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/chapter-11-bankruptcy-restructuring?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/bonds-vs-stocks?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polar coordinates 3 | Parametric equations and polar coordinates | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/9iqN12hCn10/default.jpg URL=http://www.youtube.com/watch?v=9iqN12hCn10 description=Converting between Cartesian and Polar functions Watch the next lesson: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/i_precalc/v/introduction-to-i-and-imaginary-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/parametric_equations/polar_coor/v/polar-coordinates-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polar coordinates 2 | Parametric equations and polar coordinates | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/zGpbSGj_vfE/default.jpg URL=http://www.youtube.com/watch?v=zGpbSGj_vfE description=Conversion from Cartesian to Polar Coordinates Watch the next lesson: https://www.khanacademy.org/math/precalculus/parametric_equations/polar_coor/v/polar-coordinates-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/parametric_equations/polar_coor/v/polar-coordinates-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Polar coordinates 1 | Parametric equations and polar coordinates | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/jexMSlSDubM/default.jpg URL=http://www.youtube.com/watch?v=jexMSlSDubM description=Introduction to polar coordinates Watch the next lesson: https://www.khanacademy.org/math/precalculus/parametric_equations/polar_coor/v/polar-coordinates-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/parametric_equations/parametric/v/parametric-equations-4?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bonds vs. stocks | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/rs1md3e4aYU/default.jpg URL=http://www.youtube.com/watch?v=rs1md3e4aYU description=The difference between a bond and a stock. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/shorting-stock/v/basic-shorting?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/stocks-intro-tutorial/v/what-it-means-to-buy-a-company-s-stock?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Many people own stocks, but, unfortunately, most of them don't really understand what they own. This tutorial will keep you from being one of those people (not keep you from owning stock, but keep you from being ignorant about your investments). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equity vs. debt | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/yQtUyBrRBx4/default.jpg URL=http://www.youtube.com/watch?v=yQtUyBrRBx4 description=Debt vs. Equity. Market Capitalization, Asset Value, and Enterprise Value. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/chapter-7-bankruptcy-liquidation?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/more-on-ipos?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on IPOs | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/opEy6iN9kqc/default.jpg URL=http://www.youtube.com/watch?v=opEy6iN9kqc description=Public vs. Private Equity. Why people buy equity to begin with. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/equity-vs-debt?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/an-ipo?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=An IPO | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ywOr4OYqXOs/default.jpg URL=http://www.youtube.com/watch?v=ywOr4OYqXOs description=The initial public offering of our online sock company. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/more-on-ipos?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/going-back-to-the-till-series-b?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Going back to the till: Series B | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/m28RAgUySGQ/default.jpg URL=http://www.youtube.com/watch?v=m28RAgUySGQ description=More on the series A financing. Going back for another round with a series B financing. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/an-ipo?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/getting-a-seed-round-from-a-vc?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Getting a seed round from a VC | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/-hJj5NpWUXQ/default.jpg URL=http://www.youtube.com/watch?v=-hJj5NpWUXQ description=Series A funding from a seed venture capitalist. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/going-back-to-the-till-series-b?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/raising-money-for-a-startup?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Raising money for a startup | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/8OCjwBkMJ_E/default.jpg URL=http://www.youtube.com/watch?v=8OCjwBkMJ_E description=Raising money from an angel investor. Pre-money and post-money valuation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/venture-capital-and-capital-markets/v/getting-a-seed-round-from-a-vc?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/valuation-and-investing/v/ebitda?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is an old set of videos, but if you put up with Sal's messy handwriting (it has since improved) and spotty sound, there is a lot to be learned here. In particular, this tutorial walks through starting, financing and taking public a company (and even talks about what happens if it has trouble paying its debts). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Birthday probability problem | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/9G0w61pZPig/default.jpg URL=http://www.youtube.com/watch?v=9G0w61pZPig description=The probability that at least 2 people in a room of 30 share the same birthday. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/decisions-with-probability/v/simple-hypothesis-testing?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/bayes-theorem-visualized?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistics: Alternate variance formulas | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/sRVGcYGjUk8/default.jpg URL=http://www.youtube.com/watch?v=sRVGcYGjUk8 description=Playing with the formula for variance of a population. Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos/v/statistics-the-average?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/exploring-standard-deviation-1-module?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistics: Standard deviation | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/HvDqbzu0i0E/default.jpg URL=http://www.youtube.com/watch?v=HvDqbzu0i0E description=Review of what we've learned. Introduction to the standard deviation. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/exploring_standard_deviation_1?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/exploring-standard-deviation-1-module?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/sample-standard-deviation-and-bias?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistics: Sample variance | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Qf3RMGXR-h8/default.jpg URL=http://www.youtube.com/watch?v=Qf3RMGXR-h8 description=Using the variance of a sample to estimate the variance of a population Watch the next lesson: https://www.khanacademy.org/math/probability/random-variables-topic/random_variables_prob_dist/v/random-variables?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos/v/statistics-variance-of-a-population?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistics: Variance of a population | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/6JFzI1DDyyk/default.jpg URL=http://www.youtube.com/watch?v=6JFzI1DDyyk description=Variance of a population. Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos/v/statistics-sample-variance?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos/v/statistics-the-average?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistics: The average | Descriptive statistics | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/uhxtUt_-GyM/default.jpg URL=http://www.youtube.com/watch?v=uhxtUt_-GyM description=Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode Watch the next lesson: https://www.khanacademy.org/math/probability/descriptive-statistics/old-stats-videos/v/statistics-variance-of-a-population?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/v/statistics-alternate-variance-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Statistics: Sample vs. Population Mean thumb=https://i.ytimg.com/vi/hsPCte_PcVA/default.jpg URL=http://www.youtube.com/watch?v=hsPCte_PcVA description=The difference between the mean of a sample and the mean of a population./description type=video name=Algebra II: Mean and Standard Deviation thumb=https://i.ytimg.com/vi/i0W4KcxE-mI/default.jpg URL=http://www.youtube.com/watch?v=i0W4KcxE-mI description=79-80, mean and standard deviation/description type=video name=Banking 18: Big Picture Discussion thumb=https://i.ytimg.com/vi/T9byZBGtGuw/default.jpg URL=http://www.youtube.com/watch?v=T9byZBGtGuw description=Pros and Cons of various banking systems. More on gold. More free lessons at: http://www.khanacademy.org/video?v=T9byZBGtGuw/description type=video name=CA Geometry: Secants and Translations thumb=https://i.ytimg.com/vi/Mp838qprwyY/default.jpg URL=http://www.youtube.com/watch?v=Mp838qprwyY description=76-80, secants and graph translations/description type=video name=CA Geometry: Circle area chords tangent | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/FJIZPvE3O1A/default.jpg URL=http://www.youtube.com/watch?v=FJIZPvE3O1A description=71-75, area, chords, tangents of circles This is the last video in our geometry subject! Now move on to our first video in algebra II: https://www.khanacademy.org/math/algebra2/systems_eq_ineq/systems_tutorial_precalc/v/trolls-tolls-and-systems-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-more-trig?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Basic trigonometry | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/MyvRxKM0xns/default.jpg URL=http://www.youtube.com/watch?v=MyvRxKM0xns description=61-65, basic trigonometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-more-trig?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-compass-construction?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: More trig | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/8YBQQ0GeusM/default.jpg URL=http://www.youtube.com/watch?v=8YBQQ0GeusM description=66-70, more trigonometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-circle-area-chords-tangent?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-basic-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Compass construction | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/79lagkER9qY/default.jpg URL=http://www.youtube.com/watch?v=79lagkER9qY description=56-60, compass construction, coordinates Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/geometry-worked-examples/e/constructions_1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-basic-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-pythagorean-theorem-compass-constructions?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Pythagorean theorem, compass constructions | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/6EY0E3z-hsU/default.jpg URL=http://www.youtube.com/watch?v=6EY0E3z-hsU description=51-55, Pythagorean Theorem, compass constructions Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-compass-construction?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-deducing-angle-measures?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Deducing angle measures | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/_HJljJuVHLw/default.jpg URL=http://www.youtube.com/watch?v=_HJljJuVHLw description=46-50, deducing the measure of angles Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/showing-angles-have-same-measure?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/ang_intro/v/using-algebra-to-find-measures-of-angles-formed-from-transversal?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Exterior angles | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Ncg1HB5uVLc/default.jpg URL=http://www.youtube.com/watch?v=Ncg1HB5uVLc description=41-45, polygons, exterior angles Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-deducing-angle-measures?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-pythagorean-theorem-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Area, circumference, volume | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/BJSk1joCQsM/default.jpg URL=http://www.youtube.com/watch?v=BJSk1joCQsM description=31-35, area, circumference and volume Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-pythagorean-theorem-area?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-area-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Pythagorean theorem, area | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/vaOXkt7uuac/default.jpg URL=http://www.youtube.com/watch?v=vaOXkt7uuac description=36-40, Pythagorean Theorem and Area Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-exterior-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-area-circumference-volume?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Triangles and parallelograms | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/h0FFEBHBufo/default.jpg URL=http://www.youtube.com/watch?v=h0FFEBHBufo description=21-25, triangles and parallelograms Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-area-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-more-on-congruent-and-similar-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Area, pythagorean theorem | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/jRrRqMJbHKc/default.jpg URL=http://www.youtube.com/watch?v=jRrRqMJbHKc description=26-30, area, circumference, pythagorean theorem Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-area-circumference-volume?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-triangles-and-parallelograms?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: More on congruent and similar triangles | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/FVSgVMVZZ-4/default.jpg URL=http://www.youtube.com/watch?v=FVSgVMVZZ-4 description=17-20, more similar and congruent triangles Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-triangles-and-parallelograms?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-similar-triangles-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Similar triangles 1 | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/bWTtHKSEcdI/default.jpg URL=http://www.youtube.com/watch?v=bWTtHKSEcdI description=10-14, similar triangles Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-more-on-congruent-and-similar-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-more-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: More proofs | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/4PPMnI8-Zsc/default.jpg URL=http://www.youtube.com/watch?v=4PPMnI8-Zsc description=7-10, more proofs (10 continued in next video) Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-similar-triangles-1?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-proof-by-contradiction?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Proof by contradiction | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/u6O0YHyarlI/default.jpg URL=http://www.youtube.com/watch?v=u6O0YHyarlI description=4-6, proof by contradiction Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-more-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-deductive-reasoning?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Geometry: Deductive reasoning | Worked examples | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/GluohfOedQE/default.jpg URL=http://www.youtube.com/watch?v=GluohfOedQE description=1-3, deductive reasoning and congruent angles Watch the next lesson: https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/ca-geometry-proof-by-contradiction?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/geometry-worked-examples/v/challenging-perimeter-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Algebra I: Functions thumb=https://i.ytimg.com/vi/NRB6s77nx2g/default.jpg URL=http://www.youtube.com/watch?v=NRB6s77nx2g description=79-80, functions, domain and range/description type=video name=CA Algebra I: More Word Problems thumb=https://i.ytimg.com/vi/ch5tDNaeuxc/default.jpg URL=http://www.youtube.com/watch?v=ch5tDNaeuxc description=75-78, word problems and functions/description type=video name=CA Algebra I: Word Problems thumb=https://i.ytimg.com/vi/PP23clmV9Hw/default.jpg URL=http://www.youtube.com/watch?v=PP23clmV9Hw description=71-74, word problems/description type=video name=CA Algebra I: Quadratic roots | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/uA6mcx4FMN8/default.jpg URL=http://www.youtube.com/watch?v=uA6mcx4FMN8 description=58-62, x-intercepts of a quadratic function Watch the next lesson: https://www.khanacademy.org/math/algebra/exponent-equations/alg-integer-exponents/v/introduction-to-negative-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-quadratic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Algebra I: Rational Expressions 2 thumb=https://i.ytimg.com/vi/C5xQP8RmHxE/default.jpg URL=http://www.youtube.com/watch?v=C5xQP8RmHxE description=66-70, more simplifying of rational expressions/description type=video name=CA Algebra I: Rational Expressions 1 thumb=https://i.ytimg.com/vi/K4VyHxglUts/default.jpg URL=http://www.youtube.com/watch?v=K4VyHxglUts description=63-65, simplifying rational expressions/description type=video name=CA Algebra I: Factoring quadratics | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/K5ggNnKTmNM/default.jpg URL=http://www.youtube.com/watch?v=K5ggNnKTmNM description=44-47, factoring quadratics Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/algebra-ii-quadratics-and-shifts?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/solving-a-quadratic-by-factoring?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Algebra I: Quadratic equation | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/tSNtCg7o7bA/default.jpg URL=http://www.youtube.com/watch?v=tSNtCg7o7bA description=53-57, Quadratic Equation Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-quadratic-roots?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/quadratic-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Algebra I: Completing the square | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/8M4c8TB3Cdc/default.jpg URL=http://www.youtube.com/watch?v=8M4c8TB3Cdc description=48-52, completing the square Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/introduction-to-the-quadratic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/algebra-ii-shifting-quadratic-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=CA Algebra I: Systems of Inequalities thumb=https://i.ytimg.com/vi/1piZ8oYWh3E/default.jpg URL=http://www.youtube.com/watch?v=1piZ8oYWh3E description=33-37, systems of equations and inequalities More free lessons at: http://www.khanacademy.org/video?v=1piZ8oYWh3E/description type=video name=CA Algebra I: Simplying Expressions thumb=https://i.ytimg.com/vi/ri-0v6vqcKM/default.jpg URL=http://www.youtube.com/watch?v=ri-0v6vqcKM description=38-43, systems, binomial simplification/description type=video name=CA Algebra I: Slope and Y-intercept thumb=https://i.ytimg.com/vi/31v-n2ND2VE/default.jpg URL=http://www.youtube.com/watch?v=31v-n2ND2VE description=27-32, figuring out the slope, y-intercept and equation of a line More free lessons at: http://www.khanacademy.org/video?v=31v-n2ND2VE/description type=video name=CA Algebra I: Graphing Inequalities thumb=https://i.ytimg.com/vi/KZ8Vw_Nim8U/default.jpg URL=http://www.youtube.com/watch?v=KZ8Vw_Nim8U description=21-26, graphing inequalities and testing assertions More free lessons at: http://www.khanacademy.org/video?v=KZ8Vw_Nim8U/description type=video name=CA Algebra I: Simple Logical Arguments thumb=https://i.ytimg.com/vi/yIzF_XGX4qk/default.jpg URL=http://www.youtube.com/watch?v=yIzF_XGX4qk description=14-20, simple logical reasoning/description type=video name=CA Algebra I: Simplifying Expressions thumb=https://i.ytimg.com/vi/Hfihqi82M4A/default.jpg URL=http://www.youtube.com/watch?v=Hfihqi82M4A description=8-13, simplifying expressions and word problems/description type=video name=CA Algebra I: Number properties and absolute value | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/ZouQdHSyelg/default.jpg URL=http://www.youtube.com/watch?v=ZouQdHSyelg description=1-7, number properties and absolute value equations Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/properties-of-numbers-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/order-of-operations/arithmetic_properties/v/associative-law-of-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra II: Functions and Probability thumb=https://i.ytimg.com/vi/ZGJU7aqE3mY/default.jpg URL=http://www.youtube.com/watch?v=ZGJU7aqE3mY description=70-75, functions and probability/description type=video name=Algebra II: Binomial Expansions, Geometric Series Sum thumb=https://i.ytimg.com/vi/EwKWzFv3Ul8/default.jpg URL=http://www.youtube.com/watch?v=EwKWzFv3Ul8 description=67-69, binomial expansions and the sum of a geometric series/description type=video name=Algebra II: binomial Expansion and Combinatorics thumb=https://i.ytimg.com/vi/xTxv9Wukjiw/default.jpg URL=http://www.youtube.com/watch?v=xTxv9Wukjiw description=65 (done another way) - 66, combinatorics and binomial expansions/description type=video name=Algebra II: Functions, Combinatorics thumb=https://i.ytimg.com/vi/Y5BukhTmSHE/default.jpg URL=http://www.youtube.com/watch?v=Y5BukhTmSHE description=60-65, functions, combinations, probability/description type=video name=Algebra II: Logarithms and more thumb=https://i.ytimg.com/vi/9Z1WpYN-tBE/default.jpg URL=http://www.youtube.com/watch?v=9Z1WpYN-tBE description=53-59, Logarithms and functions/description type=video name=Algebra II: Logarithms Exponential Growth thumb=https://i.ytimg.com/vi/BcjutHIUjxQ/default.jpg URL=http://www.youtube.com/watch?v=BcjutHIUjxQ description=49-52, logarithms, exponential growth and decay/description type=video name=Algebra II: Circles and Logarithms thumb=https://i.ytimg.com/vi/QwOcCoHsZfM/default.jpg URL=http://www.youtube.com/watch?v=QwOcCoHsZfM description=43-48, circles, logarithms, exponents/description type=video name=Hyperbola and parabola examples | Conic sections | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/74oju-0NExU/default.jpg URL=http://www.youtube.com/watch?v=74oju-0NExU description=Parabola, Hyperbolas, etc. Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/jee_hyperbolas/v/tangent-line-hyperbola-relationship-very-optional?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/conics_precalc/conics_precalc_eqs/v/conic-identification-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra II: Quadratics and shifts | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/GHDrDdu6vrU/default.jpg URL=http://www.youtube.com/watch?v=GHDrDdu6vrU description=32-35, Solving quadratics and graph shifts Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/algebra-ii-shifting-quadratic-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-factoring-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Examples: Graphing and interpreting quadratics | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/X9rTIwc1wRU/default.jpg URL=http://www.youtube.com/watch?v=X9rTIwc1wRU description=36-38, shifting quadratic graphs and finding x-intercepts (roots) Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/algebra-ii-quadratics-and-shifts?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra II: Imaginary and complex numbers | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/C-2Ln0pK3kY/default.jpg URL=http://www.youtube.com/watch?v=C-2Ln0pK3kY description=21-26, mostly imaginary and complex numbers Watch the next lesson: https://www.khanacademy.org/math/algebra2/conics_precalc/conic_section_intro/v/introduction-to-conic-sections?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/complex-numbers-a2/complex_numbers/v/complex-roots-from-the-quadratic-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra II: Complex numbers and conjugates thumb=https://i.ytimg.com/vi/e3W8o6M-7gg/default.jpg URL=http://www.youtube.com/watch?v=e3W8o6M-7gg description=27-31, complex numbers and conjugates/description type=video name=Algebra II: Simplifying Polynomials thumb=https://i.ytimg.com/vi/WB7gPfsv6rQ/default.jpg URL=http://www.youtube.com/watch?v=WB7gPfsv6rQ description=17-22, simplifying polynomials and algebraic expressions/description type=video name=CA Standards: Algebra II thumb=https://i.ytimg.com/vi/q9m5VZMYEyw/default.jpg URL=http://www.youtube.com/watch?v=q9m5VZMYEyw description=13-16 (polynomial factoring and multiplication)/description type=video name=CA Standards: Algebra II (Algebraic Division/Multiplication) thumb=https://i.ytimg.com/vi/sMrmuoehZpY/default.jpg URL=http://www.youtube.com/watch?v=sMrmuoehZpY description=9-12 (algebraic division and multiplication)/description type=video name=California Standards Test: Algebra II (Graphing Inequalities thumb=https://i.ytimg.com/vi/UzvOjuJZVJ0/default.jpg URL=http://www.youtube.com/watch?v=UzvOjuJZVJ0 description=6-8 (understanding and graphing inequalities)/description type=video name=California Standards Test: Algebra II thumb=https://i.ytimg.com/vi/wzEVAd6ezZU/default.jpg URL=http://www.youtube.com/watch?v=wzEVAd6ezZU description=1-5, absolute value equations and systems of equations/description type=video name=GMAT: Math 50 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/OvRAIlok3fA/default.jpg URL=http://www.youtube.com/watch?v=OvRAIlok3fA description=232-236, pgs. 184-185. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-51?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-49?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 51 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/AwKTZK8gqZI/default.jpg URL=http://www.youtube.com/watch?v=AwKTZK8gqZI description=237-239, pg. 185. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-52?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-50?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 53 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/cY-iPEtvJAE/default.jpg URL=http://www.youtube.com/watch?v=cY-iPEtvJAE description=245-247, pg. 186. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-54?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-52?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 52 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/tixLZtDnbTg/default.jpg URL=http://www.youtube.com/watch?v=tixLZtDnbTg description=240-244, pgs. 185-186. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-53?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-51?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 54 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/EiZJzWPTm0I/default.jpg URL=http://www.youtube.com/watch?v=EiZJzWPTm0I description=248-249, pg. 186. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-1?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-53?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 47 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/iwamZ7r2tTE/default.jpg URL=http://www.youtube.com/watch?v=iwamZ7r2tTE description=221-225, pgs. 182-183. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-48?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-46?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 49 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/1-9n4Upditg/default.jpg URL=http://www.youtube.com/watch?v=1-9n4Upditg description=227-231, pgs. 183-184. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-50?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-48?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 48 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/nZ90fsoVvmc/default.jpg URL=http://www.youtube.com/watch?v=nZ90fsoVvmc description=226, pg. 183. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-49?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-47?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 45 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/o0azgDKAFNI/default.jpg URL=http://www.youtube.com/watch?v=o0azgDKAFNI description=214-216, pg. 181. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-46?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-44?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 46 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/rLI88bU7Fuo/default.jpg URL=http://www.youtube.com/watch?v=rLI88bU7Fuo description=217-220, pg. 182. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-47?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-45?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 44 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/IDkhHTjlg0M/default.jpg URL=http://www.youtube.com/watch?v=IDkhHTjlg0M description=210-213, pg. 181. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-45?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-43?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 43 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/xvyQP-oezXc/default.jpg URL=http://www.youtube.com/watch?v=xvyQP-oezXc description=207-209, pgs. 180-181. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-44?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-42?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 42 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/q0AkvTchhPI/default.jpg URL=http://www.youtube.com/watch?v=q0AkvTchhPI description=205-206, pg. 180. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-43?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-41?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 41 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/4WOjZ9lQdHE/default.jpg URL=http://www.youtube.com/watch?v=4WOjZ9lQdHE description=201-204, pgs. 179-180. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-42?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-40?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 40 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/oug9h9-komI/default.jpg URL=http://www.youtube.com/watch?v=oug9h9-komI description=198-200, pg. 179. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-41?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-39?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 39 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/1bj7FPzUiWc/default.jpg URL=http://www.youtube.com/watch?v=1bj7FPzUiWc description=195-197, pgs. 178-179. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-40?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-38?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 38 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/-y9SELk3UNU/default.jpg URL=http://www.youtube.com/watch?v=-y9SELk3UNU description=190-194, pg. 178. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-39?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-37?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 37 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/QcAr1552o84/default.jpg URL=http://www.youtube.com/watch?v=QcAr1552o84 description=185-189, pgs. 177-178. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-38?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-36?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 36 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/x8pEjhCc5ug/default.jpg URL=http://www.youtube.com/watch?v=x8pEjhCc5ug description=180(simpler)-184, pgs. 176-177. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-37?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-35?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 35 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/FEYN0jK1-pI/default.jpg URL=http://www.youtube.com/watch?v=FEYN0jK1-pI description=177-180, pg. 176. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-36?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-34?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 34 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/OgxsswJEZ7k/default.jpg URL=http://www.youtube.com/watch?v=OgxsswJEZ7k description=173-176, pgs. 175-176. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-35?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-33?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 33 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/wdINk29ZSMA/default.jpg URL=http://www.youtube.com/watch?v=wdINk29ZSMA description=167-172, pgs. 174-175. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-34?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-32?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 32 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/uG2VpBYd-Hk/default.jpg URL=http://www.youtube.com/watch?v=uG2VpBYd-Hk description=163-166, pg. 174. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-33?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-31?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 31 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/wYGKRP0gD3I/default.jpg URL=http://www.youtube.com/watch?v=wYGKRP0gD3I description=161-162, pg. 174. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-32?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-30?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 30 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/zpnjkbJNp90/default.jpg URL=http://www.youtube.com/watch?v=zpnjkbJNp90 description=154-160, pg. 173. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-31?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-29?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 21 (correction) | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/Lq-zp5_OgSY/default.jpg URL=http://www.youtube.com/watch?v=Lq-zp5_OgSY description=94, pg. 286. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-22?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-21?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 28 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/4r6QHJzu8YQ/default.jpg URL=http://www.youtube.com/watch?v=4r6QHJzu8YQ description=143-147, pgs. 171-172. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-29?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-27?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 27 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/SEtkn9S-WHY/default.jpg URL=http://www.youtube.com/watch?v=SEtkn9S-WHY description=138-142, pg. 171. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-28?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-26?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 29 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/WBWV_uvgC6w/default.jpg URL=http://www.youtube.com/watch?v=WBWV_uvgC6w description=148-153, pgs. 172-173. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-30?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-28?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 26 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/ucqaqTR6EK8/default.jpg URL=http://www.youtube.com/watch?v=ucqaqTR6EK8 description=133-137, pg. 170. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-27?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-25?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 25 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/A6FP-2d3GnQ/default.jpg URL=http://www.youtube.com/watch?v=A6FP-2d3GnQ description=129-132, pgs. 169-170. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-26?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-24?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 24 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/QR9K8M4u8rk/default.jpg URL=http://www.youtube.com/watch?v=QR9K8M4u8rk description=124-128, pgs. 168-169. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-25?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-23?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 22 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/Zplk5NcBt3c/default.jpg URL=http://www.youtube.com/watch?v=Zplk5NcBt3c description=115-119, pgs. 168-169. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-23?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-21?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 23 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/Qod67l16LfQ/default.jpg URL=http://www.youtube.com/watch?v=Qod67l16LfQ description=120-123, pg. 168. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-24?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-22?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 21 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/tcm-v12m7hU/default.jpg URL=http://www.youtube.com/watch?v=tcm-v12m7hU description=110-114, pgs. 166-167. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-22?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-20?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 20 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/-Jx6vyc_830/default.jpg URL=http://www.youtube.com/watch?v=-Jx6vyc_830 description=106-109, pg. 166. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-21?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-19?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 19 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/m44llkkWI0g/default.jpg URL=http://www.youtube.com/watch?v=m44llkkWI0g description=100-105, pg. 165. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-20?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-18?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 18 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/ITc5DeU1zaw/default.jpg URL=http://www.youtube.com/watch?v=ITc5DeU1zaw description=96-99, pgs. 164-165. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-19?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-17?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 17 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/f3TQEpL7dk4/default.jpg URL=http://www.youtube.com/watch?v=f3TQEpL7dk4 description=92-95, pg. 164. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-18?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-16?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 16 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/dA1u8RD49dU/default.jpg URL=http://www.youtube.com/watch?v=dA1u8RD49dU description=87-91, pg. 163. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-17?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-15?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 14 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/M8TOJrI6cJc/default.jpg URL=http://www.youtube.com/watch?v=M8TOJrI6cJc description=76-80, pg. 162. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-15?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-13?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 15 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/BdSNiuJnZa8/default.jpg URL=http://www.youtube.com/watch?v=BdSNiuJnZa8 description=81-86, pgs. 162-163. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-16?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-14?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 13 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/9r8Wb7prWZA/default.jpg URL=http://www.youtube.com/watch?v=9r8Wb7prWZA description=70-75, pg. 161. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-14?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-12?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 11 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/YOlP6xmw7zU/default.jpg URL=http://www.youtube.com/watch?v=YOlP6xmw7zU description=61-64, pg. 160. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-12?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-10?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 12 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/VdBZSEF_FhU/default.jpg URL=http://www.youtube.com/watch?v=VdBZSEF_FhU description=65-69, pgs. 160-161. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-12?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-11?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 10 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/E8HagppxzxY/default.jpg URL=http://www.youtube.com/watch?v=E8HagppxzxY description=55-60, pg. 159. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-11?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-9?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 9 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/HkBFunEh8iY/default.jpg URL=http://www.youtube.com/watch?v=HkBFunEh8iY description=49-54, pgs. 158-159. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-10?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-8?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 8 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/yZtpr_curdc/default.jpg URL=http://www.youtube.com/watch?v=yZtpr_curdc description=42-48, pgs. 157-158. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-9?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-6?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 6 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/Q59w-ACX30M/default.jpg URL=http://www.youtube.com/watch?v=Q59w-ACX30M description=30-35, pg. 156. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-7?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-5?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 7 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/HqiBo62O8bk/default.jpg URL=http://www.youtube.com/watch?v=HqiBo62O8bk description=36-41, pgs. 156-157. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-8?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-6?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 2 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/UlHo2cxKA84/default.jpg URL=http://www.youtube.com/watch?v=UlHo2cxKA84 description=7-11, pg. 153. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-3?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-1?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 3 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/G8s3SkAm-gM/default.jpg URL=http://www.youtube.com/watch?v=G8s3SkAm-gM description=12-19, pgs. 153-154. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-4?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-2?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 1 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/jciijU8Mj_Y/default.jpg URL=http://www.youtube.com/watch?v=jciijU8Mj_Y description=1-6, pg. 152. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-2?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 5 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/fRTx45FJWto/default.jpg URL=http://www.youtube.com/watch?v=fRTx45FJWto description=24-29, pgs. 155-156. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-6?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-4?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Math 4 | Problem solving | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/X58FV7MwdbY/default.jpg URL=http://www.youtube.com/watch?v=X58FV7MwdbY description=20-23, pgs. 154-155. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-5?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-3?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 40 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/dmN_s286dHc/default.jpg URL=http://www.youtube.com/watch?v=dmN_s286dHc description=151-153, pg. 290. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-41?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-39?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 41 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/cMjJSUsaWvc/default.jpg URL=http://www.youtube.com/watch?v=cMjJSUsaWvc description=154-155, pg. 290. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-42?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-40?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 39 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/lqv9dXXjfWE/default.jpg URL=http://www.youtube.com/watch?v=lqv9dXXjfWE description=148-150, pg. 290. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-40?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-38?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 38 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/n1MbK-Qb7Mk/default.jpg URL=http://www.youtube.com/watch?v=n1MbK-Qb7Mk description=145-147, pg. 290. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-39?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-37?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 37 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/wPA2FrET_Ac/default.jpg URL=http://www.youtube.com/watch?v=wPA2FrET_Ac description=142-144, pg. 290. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-38?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-36?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 36 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/LDyMYyiAsQs/default.jpg URL=http://www.youtube.com/watch?v=LDyMYyiAsQs description=141-142, pg. 289-290. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-37?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-35?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 35 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/XuDGJ-LUnAU/default.jpg URL=http://www.youtube.com/watch?v=XuDGJ-LUnAU description=138-140, pg. 289. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-36?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-34?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 34 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/K_uaUQY6MVQ/default.jpg URL=http://www.youtube.com/watch?v=K_uaUQY6MVQ description=135-137, pg. 289. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-35?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-33?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 33 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/-uZt8MLeDrg/default.jpg URL=http://www.youtube.com/watch?v=-uZt8MLeDrg description=132-134, pg. 289. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-34?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-32?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 32 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/qVPtT8CX1eM/default.jpg URL=http://www.youtube.com/watch?v=qVPtT8CX1eM description=129-131, pg. 289. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-33?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-31?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 31 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/5BEaqN92vDk/default.jpg URL=http://www.youtube.com/watch?v=5BEaqN92vDk description=125-128, pg. 288. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-32?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-30?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Overview of our video library thumb=https://i.ytimg.com/vi/dP6Op2jCcJc/default.jpg URL=http://www.youtube.com/watch?v=dP6Op2jCcJc description=Short walk-through of our video library./description type=video name=GMAT: Data sufficiency 27 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/OzTqWpAPnrw/default.jpg URL=http://www.youtube.com/watch?v=OzTqWpAPnrw description=112-115, pg. 287. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-28?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-26?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 30 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/o_eNoF1DnZs/default.jpg URL=http://www.youtube.com/watch?v=o_eNoF1DnZs description=121-124, pg. 288. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-31?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-29?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 28 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/vD1OROM3Lfo/default.jpg URL=http://www.youtube.com/watch?v=vD1OROM3Lfo description=116-118, pg. 288. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-29?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-27?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 29 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/BCEyKQQOl8E/default.jpg URL=http://www.youtube.com/watch?v=BCEyKQQOl8E description=119-120, pg. 288. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-30?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-28?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 24 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/NrIf451oN30/default.jpg URL=http://www.youtube.com/watch?v=NrIf451oN30 description=103-106, pg. 287. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-25?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-23?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 26 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/Lhop0mfeJMQ/default.jpg URL=http://www.youtube.com/watch?v=Lhop0mfeJMQ description=110-111, pg. 287. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-27?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-25?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 25 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/kYWBbu-FXV0/default.jpg URL=http://www.youtube.com/watch?v=kYWBbu-FXV0 description=107-109, pg. 287. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-26?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-24?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 22 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/CdF-6PJ2jTM/default.jpg URL=http://www.youtube.com/watch?v=CdF-6PJ2jTM description=95-98, pg. 286. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-23?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-21?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 23 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/QOtyTZGWOmg/default.jpg URL=http://www.youtube.com/watch?v=QOtyTZGWOmg description=99-102, pg. 286. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-24?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-22?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 21 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/V7vCaxe3Rys/default.jpg URL=http://www.youtube.com/watch?v=V7vCaxe3Rys description=91-94, pgs. 285-286. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-22?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-20?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 20 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/XFuFxgbnkaM/default.jpg URL=http://www.youtube.com/watch?v=XFuFxgbnkaM description=87-90, pg. 285. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-21?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-19?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 16 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/3ia-sGkAVf8/default.jpg URL=http://www.youtube.com/watch?v=3ia-sGkAVf8 description=73-76, pg. 284. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-17?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-15?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 18 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/UR4Zr0hE-As/default.jpg URL=http://www.youtube.com/watch?v=UR4Zr0hE-As description=80-83, pg. 284. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-19?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-17?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 19 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/C-qg2Lcy6Ts/default.jpg URL=http://www.youtube.com/watch?v=C-qg2Lcy6Ts description=84-86, pg. 285. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-20?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-18?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 17 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/bcADF8WgLz4/default.jpg URL=http://www.youtube.com/watch?v=bcADF8WgLz4 description=77-79, pg. 284. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-18?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-16?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 14 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/iW3EP2FE5zc/default.jpg URL=http://www.youtube.com/watch?v=iW3EP2FE5zc description=63-68, pgs. 282-283. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-15?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-13?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 15 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/ejIjaaocVvE/default.jpg URL=http://www.youtube.com/watch?v=ejIjaaocVvE description=68-72, pg. 283. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-16?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-14?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 12 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/dgZy7Uj8cAI/default.jpg URL=http://www.youtube.com/watch?v=dgZy7Uj8cAI description=55-58, pg. 282. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-13?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-11?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 13 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/qDsLxwmW_Ms/default.jpg URL=http://www.youtube.com/watch?v=qDsLxwmW_Ms description=59-62, pg. 282. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-14?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-12?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 11 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/gpIJcqY0weE/default.jpg URL=http://www.youtube.com/watch?v=gpIJcqY0weE description=51-54, pgs. 281-282. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-12?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-10?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 10 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/Sx_KqnkcJVA/default.jpg URL=http://www.youtube.com/watch?v=Sx_KqnkcJVA description=47-50, pg. 281. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-11?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-9?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 9 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/GviCdNfeXw8/default.jpg URL=http://www.youtube.com/watch?v=GviCdNfeXw8 description=42-46, pg. 281. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-10?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-8?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 8 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/nL-NSia0HiA/default.jpg URL=http://www.youtube.com/watch?v=nL-NSia0HiA description=37-41, pgs. 280-281. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-9?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-7?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 5 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/wIPriEEti6o/default.jpg URL=http://www.youtube.com/watch?v=wIPriEEti6o description=22-27, pg. 279. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-6?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-4?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 6 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/qHO1xH4ilZs/default.jpg URL=http://www.youtube.com/watch?v=qHO1xH4ilZs description=28-32, pg. 280. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-7?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-5?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 7 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/21680hPTfUc/default.jpg URL=http://www.youtube.com/watch?v=21680hPTfUc description=33-36, pg. 280. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-8?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-6?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 3 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/eg4r1ev0xYs/default.jpg URL=http://www.youtube.com/watch?v=eg4r1ev0xYs description=10-15, pgs. 278-279. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-4?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-2?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 4 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/fMTLSOTAzWs/default.jpg URL=http://www.youtube.com/watch?v=fMTLSOTAzWs description=16-21, pg. 279. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-5?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-3?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 2 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/8nod8JWaO1o/default.jpg URL=http://www.youtube.com/watch?v=8nod8JWaO1o description=6-9, pg. 278. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-3?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-1?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=GMAT: Data sufficiency 1 | Data sufficiency | GMAT | Khan Academy thumb=https://i.ytimg.com/vi/GZInN7p1D0M/default.jpg URL=http://www.youtube.com/watch?v=GZInN7p1D0M description=1-5, pg. 278. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/test-prep/gmat/data-sufficiency/v/gmat-data-sufficiency-2?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT Missed the previous lesson? https://www.khanacademy.org/test-prep/gmat/problem-solving/v/gmat-math-54?utm_source=YT&utm_medium=Desc&utm_campaign=GMAT GMAT on Khan Academy: Sal works through the 249 problem solving questions in chapter 5 of the the 11th edition of the official GMAC GMAT Review (ISBN Number: 0-9765709-0-4 published in 2005) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s GMAT channel: https://www.youtube.com/channel/UCC7fzEVpST4mNxpAAtf-7oA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Banking 17: What happened to the gold? thumb=https://i.ytimg.com/vi/NFDMXwwzyIM/default.jpg URL=http://www.youtube.com/watch?v=NFDMXwwzyIM description=Getting off the gold standard. A short discussion of the meaning of wealth. More free lessons at: http://www.khanacademy.org/video?v=NFDMXwwzyIM/description type=video name=Banking 16: Why target rates vs. money supply thumb=https://i.ytimg.com/vi/yOgGhPIHnlA/default.jpg URL=http://www.youtube.com/watch?v=yOgGhPIHnlA description=The rationale for targeting interest rates instead of directly having a money supply target. More free lessons at: http://www.khanacademy.org/video?v=yOgGhPIHnlA/description type=video name=Banking 15: More on the Fed Funds Rate thumb=https://i.ytimg.com/vi/rgqFXkLAc-4/default.jpg URL=http://www.youtube.com/watch?v=rgqFXkLAc-4 description=More on the mechanics of the Federal Funds rate and how it increases the money supply. More free lessons at: http://www.khanacademy.org/video?v=rgqFXkLAc-4/description type=video name=Banking 14: Fed Funds Rate thumb=https://i.ytimg.com/vi/IniG1KkPS2c/default.jpg URL=http://www.youtube.com/watch?v=IniG1KkPS2c description=How open market operations effect the rate at which banks lend to each other overnight. More free lessons at: http://www.khanacademy.org/video?v=IniG1KkPS2c/description type=video name=Banking 13: Open Market Operations thumb=https://i.ytimg.com/vi/BTNarhvGX88/default.jpg URL=http://www.youtube.com/watch?v=BTNarhvGX88 description=Tools of the Central Bank to increase the money supply. More free lessons at: http://www.khanacademy.org/video?v=BTNarhvGX88/description type=video name=Banking 12: Treasuries (government debt) thumb=https://i.ytimg.com/vi/JBWdbzzYbtU/default.jpg URL=http://www.youtube.com/watch?v=JBWdbzzYbtU description=Introduction to government debt and treasuries. What it means when we say that Federal Reserve Notes are issued by the Reserve bank but are an obligation of the Government. More free lessons at: http://www.khanacademy.org/video?v=JBWdbzzYbtU/description type=video name=Banking 11: A reserve bank thumb=https://i.ytimg.com/vi/M-4GWomLbpc/default.jpg URL=http://www.youtube.com/watch?v=M-4GWomLbpc description=Introduction to the idea of a reserve bank. More free lessons at: http://www.khanacademy.org/video?v=M-4GWomLbpc/description type=video name=CNN: Understanding the Crisis thumb=https://i.ytimg.com/vi/_ZAlj2gu0eM/default.jpg URL=http://www.youtube.com/watch?v=_ZAlj2gu0eM description=Video of Sal on CNN on October 10th discussing the credit crisis and a potential solution to it. More free lessons at: http://www.khanacademy.org/video?v=_ZAlj2gu0eM/description type=video name=Banking 10: Introduction to leverage (bad sound) thumb=https://i.ytimg.com/vi/8fxilNdEQTo/default.jpg URL=http://www.youtube.com/watch?v=8fxilNdEQTo description=What leverage is. Why it is is good or bad. Leverage and insolvency. More free lessons at: http://www.khanacademy.org/video?v=8fxilNdEQTo/description type=video name=Banking 9: More on Reserve Ratios (Bad sound) thumb=https://i.ytimg.com/vi/DFPBdbx0vFc/default.jpg URL=http://www.youtube.com/watch?v=DFPBdbx0vFc description=Seeing how reserve ratios limit how much lending I can do. More free lessons at: http://www.khanacademy.org/video?v=DFPBdbx0vFc/description type=video name=Banking 8: Reserve Ratios thumb=https://i.ytimg.com/vi/VP3nKDUw1jA/default.jpg URL=http://www.youtube.com/watch?v=VP3nKDUw1jA description=How reserve requirements limit how much lending a bank can do. More free lessons at: http://www.khanacademy.org/video?v=VP3nKDUw1jA/description type=video name=Banking 7: Giving out loans without giving out gold thumb=https://i.ytimg.com/vi/On3c86V5A_E/default.jpg URL=http://www.youtube.com/watch?v=On3c86V5A_E description=How banks can give out loans without ever giving out gold. More free lessons at: http://www.khanacademy.org/video?v=On3c86V5A_E/description type=video name=Banking 6: Bank Notes and Checks thumb=https://i.ytimg.com/vi/IOzZVmgK3IM/default.jpg URL=http://www.youtube.com/watch?v=IOzZVmgK3IM description=More on how bank notes and checks can be used. More free lessons at: http://www.khanacademy.org/video?v=IOzZVmgK3IM/description type=video name=Banking 5: Introduction to Bank Notes thumb=https://i.ytimg.com/vi/cNFLqhU4MN0/default.jpg URL=http://www.youtube.com/watch?v=cNFLqhU4MN0 description=Introduction to bank notes (which you are more familiar with than you realize). More free lessons at: http://www.khanacademy.org/video?v=cNFLqhU4MN0/description type=video name=Banking 4: Multiplier effect and the money supply thumb=https://i.ytimg.com/vi/F7r7l1VG-Tw/default.jpg URL=http://www.youtube.com/watch?v=F7r7l1VG-Tw description=How "money" is created in a fractional reserve banking system. M0 and M1 definitions of the money suppy. The multiplier effect. More free lessons at: http://www.khanacademy.org/video?v=F7r7l1VG-Tw/description type=video name=Banking 3: Fractional Reserve Banking thumb=https://i.ytimg.com/vi/nH2-37rTA8U/default.jpg URL=http://www.youtube.com/watch?v=nH2-37rTA8U description=Fractional reserve banking and the multiplier effect. Introduction to the money supply. More free lessons at: http://www.khanacademy.org/video?v=nH2-37rTA8U/description type=video name=Banking 2: A bank's income statement thumb=https://i.ytimg.com/vi/h3lMANILkw0/default.jpg URL=http://www.youtube.com/watch?v=h3lMANILkw0 description=Introduction to the income statement of a bank (and to income statements in general). More free lessons at: http://www.khanacademy.org/video?v=h3lMANILkw0/description type=video name=Banking 1 | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/E-HOz8T6tAo/default.jpg URL=http://www.youtube.com/watch?v=E-HOz8T6tAo description=Introduction to how banks make money and the value they (potentially) add to society. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/banking-and-money/v/banking-2-a-bank-s-income-statement?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: We all use money and most of us use banks. Despite this, the actual working of the banking system is a bit of a mystery to most (especially fractional reserve banking). This older tutorial (bad handwriting and resolution) starts from a basic society looking to do more than barter and incrementally builds to a modern society with fraction reserve banking. Through this process, you will hopefully gain a deep understanding of how money and banking works in our modern world. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bailout 15: More on the solution thumb=https://i.ytimg.com/vi/-KrSxA9NCf0/default.jpg URL=http://www.youtube.com/watch?v=-KrSxA9NCf0 description=More on the "Plutsky Plan". More free lessons at: http://www.khanacademy.org/video?v=-KrSxA9NCf0/description type=video name=Bailout 14: Possible Solution thumb=https://i.ytimg.com/vi/BdmI14oSe4g/default.jpg URL=http://www.youtube.com/watch?v=BdmI14oSe4g description=A solution that is MUCH fairer that has a MUCH better chance of working! More free lessons at: http://www.khanacademy.org/video?v=BdmI14oSe4g/description type=video name=Wealth destruction 2 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/eRImmzuExyg/default.jpg URL=http://www.youtube.com/watch?v=eRImmzuExyg description=How bubbles destroy wealth. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/back-of-envelope-office-space-conundrum?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/wealth-destruction-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Wealth destruction 1 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/Q7HbtnOyKMg/default.jpg URL=http://www.youtube.com/watch?v=Q7HbtnOyKMg description=How bubbles destroy wealth. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/wealth-destruction-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/investment-vs-consumption-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bailout 13: Does the bailout have a chance of working? thumb=https://i.ytimg.com/vi/R528WbVdC0I/default.jpg URL=http://www.youtube.com/watch?v=R528WbVdC0I description=Can the bailout work? More free lessons at: http://www.khanacademy.org/video?v=R528WbVdC0I/description type=video name=Bailout 12: Lone Star Transaction thumb=https://i.ytimg.com/vi/eZZkhSl8lMA/default.jpg URL=http://www.youtube.com/watch?v=eZZkhSl8lMA description=A real life example of a transaction involving CDOs. More free lessons at: http://www.khanacademy.org/video?v=eZZkhSl8lMA/description type=video name=Bailout 11: Why these CDOs could be worth nothing thumb=https://i.ytimg.com/vi/RkIM0Mbc8YQ/default.jpg URL=http://www.youtube.com/watch?v=RkIM0Mbc8YQ description=Why a CDO could be worth nothing even though they are "collateralized". More free lessons at: http://www.khanacademy.org/video?v=RkIM0Mbc8YQ/description type=video name=Investment vs. Consumption I thumb=https://i.ytimg.com/vi/gjVUGs75eVs/default.jpg URL=http://www.youtube.com/watch?v=gjVUGs75eVs description=The difference between consumption and investment?/description type=video name=Investment vs. consumption 1 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/rEiLOB4FulY/default.jpg URL=http://www.youtube.com/watch?v=rEiLOB4FulY description=The difference between investment and consumption. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/investment-vs-consumption-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/return-on-capital?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Investment vs. consumption 2 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/xRjfRVXXFxU/default.jpg URL=http://www.youtube.com/watch?v=xRjfRVXXFxU description=More investment vs. consumption examples. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/wealth-destruction-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/investment-vs-consumption-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Credit default swaps 2 | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/neAFEvNsiqw/default.jpg URL=http://www.youtube.com/watch?v=neAFEvNsiqw description=Systemic risks of credit default swaps. Financial weapons of mass destruction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/use-cases-for-credit-default-swaps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/credit-default-swaps?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Credit default swaps | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/a1lVOO9Y080/default.jpg URL=http://www.youtube.com/watch?v=a1lVOO9Y080 description=Introduction to credit default swaps. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/credit-default-swaps-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/credit-default-swaps-cds-intro?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bailout 10: Moral Hazard thumb=https://i.ytimg.com/vi/roap32sTgPk/default.jpg URL=http://www.youtube.com/watch?v=roap32sTgPk description=Alternate plans and moral hazard. More free lessons at: http://www.khanacademy.org/video?v=roap32sTgPk/description type=video name=Bailout 9: Paulson's Plan thumb=https://i.ytimg.com/vi/eBYbnYNl0rw/default.jpg URL=http://www.youtube.com/watch?v=eBYbnYNl0rw description=What Paulson wants to do and why I don't like it. More free lessons at: http://www.khanacademy.org/video?v=eBYbnYNl0rw/description type=video name=Bailout 8: Systemic Risk thumb=https://i.ytimg.com/vi/gX9aKDeAOz4/default.jpg URL=http://www.youtube.com/watch?v=gX9aKDeAOz4 description=How the banks are connected. What happens when one bank fails. More free lessons at: http://www.khanacademy.org/video?v=gX9aKDeAOz4/description type=video name=Bailout 6: Getting an equity infusion thumb=https://i.ytimg.com/vi/jDNalKBb3aA/default.jpg URL=http://www.youtube.com/watch?v=jDNalKBb3aA description=The bank gets bailed out by an equity infusion from a sovereign wealth fund. More free lessons at: http://www.khanacademy.org/video?v=jDNalKBb3aA/description type=video name=Bailout 7: Bank goes into bankruptcy thumb=https://i.ytimg.com/vi/MdIfefLcdoU/default.jpg URL=http://www.youtube.com/watch?v=MdIfefLcdoU description=What happens when there is no equity infusion and the bank goes in to bankruptcy. More free lessons at: http://www.khanacademy.org/video?v=MdIfefLcdoU/description type=video name=Bailout 5: Paying off the debt thumb=https://i.ytimg.com/vi/I8BLj7cRM7c/default.jpg URL=http://www.youtube.com/watch?v=I8BLj7cRM7c description=How the bank can liquidate assets to pay off debt that comes due. More free lessons at: http://www.khanacademy.org/video?v=I8BLj7cRM7c/description type=video name=Bailout 4: Mark-to-model vs. mark-to-market thumb=https://i.ytimg.com/vi/w_GZqhAR0I4/default.jpg URL=http://www.youtube.com/watch?v=w_GZqhAR0I4 description=Different ways of accounting for an asset. Mark-to-model vs. mark-to-market. More free lessons at: http://www.khanacademy.org/video?v=w_GZqhAR0I4/description type=video name=Bailout 2: Book value | Money, banking and central banks | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/YJBqGM29_64/default.jpg URL=http://www.youtube.com/watch?v=YJBqGM29_64 description=Hypothetical bank balance sheet. What book value means. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bank-bailout/v/bailout-3-book-value-vs-market-value?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/money-and-banking/bank-bailout/v/bailout-1-liquidity-vs-solvency?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In 2008, the entire financial system was at a potential breaking point because of a popping housing bubble. This tutorial breaks down how the government attempted to address this (historical note: Sal made these videos as the crisis was unfolding). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bailout 3: Book value vs. market value thumb=https://i.ytimg.com/vi/TUOQZjotyAQ/default.jpg URL=http://www.youtube.com/watch?v=TUOQZjotyAQ description=What it means when the market value of a stock is different from its book value. More free lessons at: http://www.khanacademy.org/video?v=TUOQZjotyAQ/description type=video name=Bailout 1: Liquidity vs. Solvency thumb=https://i.ytimg.com/vi/ZUEjRYe7MRk/default.jpg URL=http://www.youtube.com/watch?v=ZUEjRYe7MRk description=Review of balance sheets. Difference between illiquidity and insolvency. More free lessons at: http://www.khanacademy.org/video?v=ZUEjRYe7MRk/description type=video name="Shifting" transform by multiplying function by exponential | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/_X_QwpXsdOs/default.jpg URL=http://www.youtube.com/watch?v=_X_QwpXsdOs description=A grab bag of things to know about the Laplace Transform. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-l-t?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-6?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Present Value 4 (and discounted cash flow) | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/6WCfVjUTTEY/default.jpg URL=http://www.youtube.com/watch?v=6WCfVjUTTEY description=Lets change the discount rates depending on how far out the payments are. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/personal-bankruptcy-tut/v/personal-bankruptcy-chapters-7-and-13?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/present-value-3?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today? A reasonable argument can be made that most everything in finance really boils down to "present value". So pay attention to this tutorial. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Present Value 3 | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/3SgVUlEcOBU/default.jpg URL=http://www.youtube.com/watch?v=3SgVUlEcOBU description=More choices as to when you get your money. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/present-value-4-and-discounted-cash-flow?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/present-value-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today? A reasonable argument can be made that most everything in finance really boils down to "present value". So pay attention to this tutorial. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Present Value 2 | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/4LSktB7Pk_c/default.jpg URL=http://www.youtube.com/watch?v=4LSktB7Pk_c description=More choices as to when you get your money. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/present-value-3?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/introduction-to-present-value?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today? A reasonable argument can be made that most everything in finance really boils down to "present value". So pay attention to this tutorial. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to present value | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/ks33lMoxst0/default.jpg URL=http://www.youtube.com/watch?v=ks33lMoxst0 description=A choice between money now and money later. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/present-value-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/present-value/v/time-value-of-money?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: If you gladly pay for a hamburger on Tuesday for a hamburger today, is it equivalent to paying for it today? A reasonable argument can be made that most everything in finance really boils down to "present value". So pay attention to this tutorial. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform solves an equation 2 | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/EdQ7Q9VoF44/default.jpg URL=http://www.youtube.com/watch?v=EdQ7Q9VoF44 description=Second part of using the Laplace Transform to solve a differential equation. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/using-the-laplace-transform-to-solve-a-nonhomogenous-eq?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-transform-to-solve-an-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform to solve an equation | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/3uYb-RhM7lU/default.jpg URL=http://www.youtube.com/watch?v=3uYb-RhM7lU description=Using the Laplace Transform to solve an equation we already knew how to solve. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-to-solve-differential-equation/v/laplace-transform-solves-an-equation-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-of-the-dirac-delta-function?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform of cos t and polynomials | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/fyJkXBvcA2Q/default.jpg URL=http://www.youtube.com/watch?v=fyJkXBvcA2Q description=Laplace transform of cosine and polynomials! Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/more-laplace-transform-tools?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-5?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace as linear operator and Laplace of derivatives | Laplace transform | Khan Academy thumb=https://i.ytimg.com/vi/E2VxbufzuWQ/default.jpg URL=http://www.youtube.com/watch?v=E2VxbufzuWQ description=Useful properties of the Laplace Transform Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-6?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=L{sin(at)}) - transform of sin(at) | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/gMcs6RF_LrQ/default.jpg URL=http://www.youtube.com/watch?v=gMcs6RF_LrQ description=Laplace Transform of sin(at) (part 1) Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Part 2 of the transform of the sin(at) | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/-cApVwKR1Ps/default.jpg URL=http://www.youtube.com/watch?v=-cApVwKR1Ps description=Part 2 of getting the Laplace transform of sin(at) Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/properties-of-laplace-transform/v/laplace-transform-5?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-3-l-sin-at?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform 2 | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/33TYoybjqPg/default.jpg URL=http://www.youtube.com/watch?v=33TYoybjqPg description=Laplace transform of e^at Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-3-l-sin-at?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Laplace transform 1 | Laplace transform | Differential Equations | Khan Academy thumb=https://i.ytimg.com/vi/OiNh2DswFt4/default.jpg URL=http://www.youtube.com/watch?v=OiNh2DswFt4 description=Introduction to the Laplace Transform Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Undetermined coefficients 4 | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/vAepSNDLZRM/default.jpg URL=http://www.youtube.com/watch?v=vAepSNDLZRM description=Putting it all together! Watch the next lesson: https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Undetermined coefficients 3 | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/I3vIAzMcm4Y/default.jpg URL=http://www.youtube.com/watch?v=I3vIAzMcm4Y description=Another example where the nonhomogeneous part is a polynomial Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Undetermined coefficients 2 | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/hbJ2o9EUmJ0/default.jpg URL=http://www.youtube.com/watch?v=hbJ2o9EUmJ0 description=Another example using undetermined coefficients. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Undetermined coefficients 1 | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/znE4Nq9NJCQ/default.jpg URL=http://www.youtube.com/watch?v=znE4Nq9NJCQ description=Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/repeated-roots-of-the-characterisitic-equations-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Repeated roots of the characteristic equations part 2 | Khan Academy thumb=https://i.ytimg.com/vi/YezsgIlcb68/default.jpg URL=http://www.youtube.com/watch?v=YezsgIlcb68 description=An example where we use initial conditions to solve a repeated-roots differential equation. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/undetermined-coefficients/v/undetermined-coefficients-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/repeated-roots-of-the-characteristic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Repeated roots of the characteristic equation | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/NW9JfMvIsxw/default.jpg URL=http://www.youtube.com/watch?v=NW9JfMvIsxw description=What happens when the characteristic equation only has 1 repeated root? Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/repeated-roots-of-the-characterisitic-equations-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/complex-roots-of-the-characteristic-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex roots of the characteristic equations 1 | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/6xEO4BeawzA/default.jpg URL=http://www.youtube.com/watch?v=6xEO4BeawzA description=What happens when the characteristic equations has complex roots?! Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/complex-roots-of-the-characteristic-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex roots of the characteristic equations 3 | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/rGaM6pwqhB0/default.jpg URL=http://www.youtube.com/watch?v=rGaM6pwqhB0 description=Lets do an example with initial conditions! Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/repeated-roots-of-the-characteristic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/complex-roots-of-the-characteristic-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex roots of the characteristic equations 2 | Second order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/jJyRrIZ595c/default.jpg URL=http://www.youtube.com/watch?v=jJyRrIZ595c description=What happens when the characteristic equation has complex roots? Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/complex-roots-of-the-characteristic-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/complex-roots-of-the-characteristic-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2nd Order Linear Homogeneous Differential Equations 4 | Khan Academy thumb=https://i.ytimg.com/vi/3uO_uPb9H8w/default.jpg URL=http://www.youtube.com/watch?v=3uO_uPb9H8w description=Another example with initial conditions! Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/complex-roots-characteristic-equation/v/complex-roots-of-the-characteristic-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2nd order linear homogeneous differential equations 2 | Khan Academy thumb=https://i.ytimg.com/vi/SPVqgkOZMAc/default.jpg URL=http://www.youtube.com/watch?v=SPVqgkOZMAc description=Let's find the general solution! Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2nd order linear homogeneous differential equations 1 | Khan Academy thumb=https://i.ytimg.com/vi/UFWAu8Ptth0/default.jpg URL=http://www.youtube.com/watch?v=UFWAu8Ptth0 description=Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/homogeneous-equations/v/first-order-homogenous-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2nd order linear homogeneous differential equations 3 | Khan Academy thumb=https://i.ytimg.com/vi/UyCwAFQt4v0/default.jpg URL=http://www.youtube.com/watch?v=UyCwAFQt4v0 description=Let's use some initial conditions to solve for the particular solution. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=First order homogeneous equations 2 | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/6YRGEsQWZzY/default.jpg URL=http://www.youtube.com/watch?v=6YRGEsQWZzY description=Another example of using substitution to solve a first order homogeneous differential equations. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/homogeneous-equations/v/first-order-homegenous-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=First order homogenous equations | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/9Wfn-WWV1aY/default.jpg URL=http://www.youtube.com/watch?v=9Wfn-WWV1aY description=Introduction to first order homogenous equations. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/homogeneous-equations/v/first-order-homogenous-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/integrating-factors-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integrating factors 1 | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/j511hg7Hlbg/default.jpg URL=http://www.youtube.com/watch?v=j511hg7Hlbg description=Using an integrating factor to make a differential equation exact Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/integrating-factors-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Integrating factors 2 | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/0NyeDUhKwBE/default.jpg URL=http://www.youtube.com/watch?v=0NyeDUhKwBE description=Now that we've made the equation exact, let's solve it! Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/homogeneous-equations/v/first-order-homegenous-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/integrating-factors-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebraic Long Division thumb=https://i.ytimg.com/vi/4u8_AMacu-Y/default.jpg URL=http://www.youtube.com/watch?v=4u8_AMacu-Y description=Dividing one polynomial into another/description type=video name=Exact equations example 3 | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/eu_GFuU7tLI/default.jpg URL=http://www.youtube.com/watch?v=eu_GFuU7tLI description=One more exact equation example Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/integrating-factors-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exact equations example 2 | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/utQi1ZhF__Q/default.jpg URL=http://www.youtube.com/watch?v=utQi1ZhF__Q description=Some more exact equation examples. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exact equations intuition 2 (proofy) | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/a7wYAtMjORQ/default.jpg URL=http://www.youtube.com/watch?v=a7wYAtMjORQ description=More intuitive building blocks for exact equations. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-intuition-1-proofy?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exact equations example 1 | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/Pb04ntcDJcQ/default.jpg URL=http://www.youtube.com/watch?v=Pb04ntcDJcQ description=First example of solving an exact differential equation. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-example-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-intuition-2-proofy?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exact equations intuition 1 (proofy) | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/iEpqcdaJNTQ/default.jpg URL=http://www.youtube.com/watch?v=iEpqcdaJNTQ description=Chain rule using partial derivatives (not a proof; more intuition). Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/exact-equations/v/exact-equations-intuition-2-proofy?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/eulers-method-tutorial/v/example-eulers-method-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Old separable differential equations example | First order differential equations | Khan Academy thumb=https://i.ytimg.com/vi/xVWCfMe97ws/default.jpg URL=http://www.youtube.com/watch?v=xVWCfMe97ws description=Another separable differential equation example. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/modeling-with-differential-equations/v/modeling-population-with-simple-differential-equation?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/separable-differential-equations?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Old separable differential equations introduction | Khan Academy thumb=https://i.ytimg.com/vi/C5-lz0hcqsE/default.jpg URL=http://www.youtube.com/watch?v=C5-lz0hcqsE description=Introduction to separable differential equations. Watch the next lesson: https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/separable-differential-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Missed the previous lesson? https://www.khanacademy.org/math/differential-equations/first-order-differential-equations/separable-equations/v/particular-solution-to-differential-equation-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialEquations Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Equations channel:: https://www.youtube.com/channel/UCxSQHGkaDv8UKXE0TUbsOIg?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What is a differential equation thumb=https://i.ytimg.com/vi/-_POEWfygmU/default.jpg URL=http://www.youtube.com/watch?v=-_POEWfygmU description=What a differential equation is and some terminology./description type=video name=Triple integrals 3 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/ZN2PfqZ4ihM/default.jpg URL=http://www.youtube.com/watch?v=ZN2PfqZ4ihM description=Figuring out the boundaries of integration. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/partial_derivatives/v/partial-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/triple-integrals/v/triple-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triple integrals 2 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/vxQvL_WhBGU/default.jpg URL=http://www.youtube.com/watch?v=vxQvL_WhBGU description=Using a triple integral to find the mass of a volume of variable density. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/triple-integrals/v/triple-integrals-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/triple-integrals/v/triple-integrals-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Triple integrals 1 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/vr0sTKbV7lI/default.jpg URL=http://www.youtube.com/watch?v=vr0sTKbV7lI description=Introduction to the triple integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/triple-integrals/v/triple-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-6?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double integrals 4 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/twT-WZChfZ8/default.jpg URL=http://www.youtube.com/watch?v=twT-WZChfZ8 description=Another way to conceptualize the double integral. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-5?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double integrals 6 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/0pv0QtOi5l8/default.jpg URL=http://www.youtube.com/watch?v=0pv0QtOi5l8 description=Let's evaluate the double integrals with y=x^2 as one of the boundaries. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/triple-integrals/v/triple-integrals-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-5?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double integrals 5 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/hrIPO8mQqtw/default.jpg URL=http://www.youtube.com/watch?v=hrIPO8mQqtw description=Finding the volume when we have variable boundaries. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-6?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-4?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double integrals 2 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/TdLD2Zh-nUQ/default.jpg URL=http://www.youtube.com/watch?v=TdLD2Zh-nUQ description=Figuring out the volume under z=xy^2 Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integral-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double integrals 3 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/z8BM6cHifPA/default.jpg URL=http://www.youtube.com/watch?v=z8BM6cHifPA description=Let's integrate dy first! Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-4?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Double integral 1 | Double and triple integrals | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/85zGYB-34jQ/default.jpg URL=http://www.youtube.com/watch?v=85zGYB-34jQ description=Introduction to the double integral Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/double_integrals/v/double-integrals-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Curl 3 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/fYzoiWIBjP8/default.jpg URL=http://www.youtube.com/watch?v=fYzoiWIBjP8 description=More on curl Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/line_integrals_topic/line_integrals/v/introduction-to-the-line-integral?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/curl-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Curl 2 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/hTSyVgBa1T0/default.jpg URL=http://www.youtube.com/watch?v=hTSyVgBa1T0 description=The mechanics of calculating curl. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/curl-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/curl-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Curl 1 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Mt4dpGFVsYc/default.jpg URL=http://www.youtube.com/watch?v=Mt4dpGFVsYc description=Introduction to the curl of a vector field Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/curl-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence 2 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/tOX3RkH2guE/default.jpg URL=http://www.youtube.com/watch?v=tOX3RkH2guE description=The intuition of what the divergence of a vector field is. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence 3 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/U6Re4xT0o4w/default.jpg URL=http://www.youtube.com/watch?v=U6Re4xT0o4w description=Analyzing a vector field using its divergence. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/curl/v/curl-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Divergence 1 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/JAXyLhvZ-Vg/default.jpg URL=http://www.youtube.com/watch?v=JAXyLhvZ-Vg description=Introduction to the divergence of a vector field. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/gradient/v/gradient-of-a-scalar-field?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gradient of a scalar field | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/OB8b8aDGLgE/default.jpg URL=http://www.youtube.com/watch?v=OB8b8aDGLgE description=Intuition of the gradient of a scalar field (temperature in a room) in 3 dimensions. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/divergence/v/divergence-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/gradient/v/gradient-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gradient 1 | Partial derivatives, gradient, divergence, curl | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/U7HQ_G_N6vo/default.jpg URL=http://www.youtube.com/watch?v=U7HQ_G_N6vo description=Introduction to the gradient Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/gradient/v/gradient-of-a-scalar-field?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/partial_derivatives/v/partial-derivatives-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial derivatives 2 | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/-u0mqFqpMNY/default.jpg URL=http://www.youtube.com/watch?v=-u0mqFqpMNY description=More on partial derivatives Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/gradient/v/gradient-1?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/partial_derivatives/v/partial-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Partial derivatives | Multivariable Calculus | Khan Academy thumb=https://i.ytimg.com/vi/1CMDS4-PKKQ/default.jpg URL=http://www.youtube.com/watch?v=1CMDS4-PKKQ description=Introduction to partial derivatives. Watch the next lesson: https://www.khanacademy.org/math/multivariable-calculus/partial_derivatives_topic/partial_derivatives/v/partial-derivatives-2?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Missed the previous lesson? https://www.khanacademy.org/math/multivariable-calculus/double_triple_integrals/triple-integrals/v/triple-integrals-3?utm_source=YT&utm_medium=Desc&utm_campaign=MultivariableCalculus Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Multivariable Calculus channel: https://www.youtube.com/channel/UCQQZDc22yCogOyx6DwXt-Ig?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculating dot and cross products with unit vector notation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/enr7JqvehJs/default.jpg URL=http://www.youtube.com/watch?v=enr7JqvehJs description=Calculating the dot and cross products when vectors are presented in their x, y, and z (or i,j, and k) components. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-flux-faradays-law/v/flux-and-magnetic-flux?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dot vs. cross product | Physics | Khan Academy thumb=https://i.ytimg.com/vi/E34CftP455k/default.jpg URL=http://www.youtube.com/watch?v=E34CftP455k description=Understanding the differences between the dot and cross products. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/calculating-dot-and-cross-products-with-unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/the-dot-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The dot product | Magnetic forces, magnetic fields, and Faraday's law | Physics | Khan Academy thumb=https://i.ytimg.com/vi/KDHuWxy53uM/default.jpg URL=http://www.youtube.com/watch?v=KDHuWxy53uM description=Introduction to the vector dot product. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-11-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Induced current in a wire | Physics | Khan Academy thumb=https://i.ytimg.com/vi/KuUMUvwvML8/default.jpg URL=http://www.youtube.com/watch?v=KuUMUvwvML8 description=Sal determines the current and EMF induced in a wire pulled through a magnetic field. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-9-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-8?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electric motors (part 3) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/XMkUDyl1ZRo/default.jpg URL=http://www.youtube.com/watch?v=XMkUDyl1ZRo description=Sal finishes the explanation of how a commutator will allow a loop of wire to continue spinning in a magnetic field, thereby allowing it to work as an electric motor. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/the-dot-product?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-10-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electric motors (part 2) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/cePkWyXRvIQ/default.jpg URL=http://www.youtube.com/watch?v=cePkWyXRvIQ description=Sal shows that a commutator can be used in order to keep the loop of wire rotating in the magnetic field. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-11-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-9-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electric motors (part 1) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/pAgPfr7MkkU/default.jpg URL=http://www.youtube.com/watch?v=pAgPfr7MkkU description=Sal shows that there will be a net torque on a loop of current in a wire. Sal shows that this net torque will cause the loop to rotate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-10-electric-motors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-12-induced-current-in-a-wire?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnetic force between two currents going in opposite directions | Khan Academy thumb=https://i.ytimg.com/vi/4tctB1wZNiI/default.jpg URL=http://www.youtube.com/watch?v=4tctB1wZNiI description=Sal shows how to determine the magnetic force between two currents going in opposite directions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-12-induced-current-in-a-wire?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-7?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnetic force between two currents going in the same direction | Khan Academy thumb=https://i.ytimg.com/vi/l3hw0twZSCc/default.jpg URL=http://www.youtube.com/watch?v=l3hw0twZSCc description=Sal shows how to determine the magnetic force between two currents going in the same direction. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-8?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-6-magnetic-field-due-to-current?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnetic field created by a current carrying wire | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Ri557hvwhcM/default.jpg URL=http://www.youtube.com/watch?v=Ri557hvwhcM description=See how a wire carrying a current creates a magnetic field. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-7?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-5?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnetic force on a current carrying wire | Physics | Khan Academy thumb=https://i.ytimg.com/vi/jQ2nD8ZGeEw/default.jpg URL=http://www.youtube.com/watch?v=jQ2nD8ZGeEw description=Sal derives the formula F=ILB to determine the force on a current carrying wire. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnetic-field-current-carrying-wire/v/magnetism-6-magnetic-field-due-to-current?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnetic force on a proton example (part 1) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/LTuGQy4rmmo/default.jpg URL=http://www.youtube.com/watch?v=LTuGQy4rmmo description=Sal does an example problem to determine the size and direction of the magnetic force on a proton moving through a magnetic field. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/cross-product-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnetic force on a charge | Physics | Khan Academy thumb=https://i.ytimg.com/vi/NnlAI4ZiUrQ/default.jpg URL=http://www.youtube.com/watch?v=NnlAI4ZiUrQ description=Sal shows how to find the size and direction of the magnetic force using F=qvB and the right hand rule. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/cross-product-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/introduction-to-magnetism?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Magnetic force on a proton example (part 2) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/b1QFKLZC11U/default.jpg URL=http://www.youtube.com/watch?v=b1QFKLZC11U description=Sal determines the radius of the circle traveled by the proton in the previous example by using the formula for centripetal acceleration. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-5?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to magnetism | Physics | Khan Academy thumb=https://i.ytimg.com/vi/8Y4JSp5U82I/default.jpg URL=http://www.youtube.com/watch?v=8Y4JSp5U82I description=An introduction to magnetism. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/circuits-topic/circuits-with-capacitors/v/dielectrics-capacitors?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cross product and torque | Moments, torque, and angular momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/s38l6nmTrvM/default.jpg URL=http://www.youtube.com/watch?v=s38l6nmTrvM description=The cross product and the direction of torque. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/oscillatory-motion/harmonic-motion/v/introduction-to-harmonic-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/angular-momentum-of-an-extended-object?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cross product 2 | Magnetic forces, magnetic fields, and Faraday's law | Physics | Khan Academy thumb=https://i.ytimg.com/vi/o_puKe_lTKk/default.jpg URL=http://www.youtube.com/watch?v=o_puKe_lTKk description=A little more intuition on the cross product. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/cross-product-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Cross product 1 | Magnetic forces, magnetic fields, and Faraday's law | Physics | Khan Academy thumb=https://i.ytimg.com/vi/zA0fvwtvgvA/default.jpg URL=http://www.youtube.com/watch?v=zA0fvwtvgvA description=Introduction to the cross product. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/cross-product-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/magnets-magnetic/v/magnetism-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More chain rule and implicit differentiation intuition thumb=https://i.ytimg.com/vi/XHBkQW_XuA4/default.jpg URL=http://www.youtube.com/watch?v=XHBkQW_XuA4 description=More intuition behind the chain rule and how it applies to implicit differentiation./description type=video name=Calculus BC 2008 2 b &c | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/S4oOSgTj9C8/default.jpg URL=http://www.youtube.com/watch?v=S4oOSgTj9C8 description=Parts 2b and 2c of the 2008 BC exam (free response). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/calculus-bc-2008-2d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/calculus-bc-2008-2-a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculus BC 2008 2 a | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/xvvI_QRYxBY/default.jpg URL=http://www.youtube.com/watch?v=xvvI_QRYxBY description=2a of 2008 Calculus BC exam (free response). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/calculus-bc-2008-2-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculus BC 2008 2d | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/o_vMb655dFk/default.jpg URL=http://www.youtube.com/watch?v=o_vMb655dFk description=Part 2d of the 2008 Calculus BC exam free-response section. Created by Sal Khan. This is the last video in our AP Calculus BC subject! Now move on to our first video in AP Statistics: https://www.khanacademy.org/math/ap-statistics/analyzing-categorical-ap/introduction-data/v/meet-jeff-a-creator-of-ap-statistics-on-khan-academy?utm_source=YT&utm_medium=Desc&utm_campaign=APStatistics Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/calculus-bc-2008-2-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Calculus BC exams: 2008 1 d | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/sPTuCE5zd3s/default.jpg URL=http://www.youtube.com/watch?v=sPTuCE5zd3s description=Part 1d of the 2008 AP Calculus BC exam (free response). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/calculus-bc-2008-2-a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Calculus BC exams: 2008 1 c&d | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/_l0Mfsu__gU/default.jpg URL=http://www.youtube.com/watch?v=_l0Mfsu__gU description=Parts c and d of problem 1 in the 2008 AP Calculus BC free response. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Calculus BC exams: 2008 1 b&c | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/xPb6HLM3xEQ/default.jpg URL=http://www.youtube.com/watch?v=xPb6HLM3xEQ description=Parts b and c of problem 1 (free response). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-c-d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-a?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic subtraction | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/aNqG4ChKShI/default.jpg URL=http://www.youtube.com/watch?v=aNqG4ChKShI description=Introduction to subtraction Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/addition-subtraction/basic_addition/e/subtraction_1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/two_dig_add_sub/v/adding-whole-numbers-and-applications-1?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/addition-subtraction/basic_addition/v/basic-addition?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=AP Calculus BC exams: 2008 1 a | AP Calculus BC | Khan Academy thumb=https://i.ytimg.com/vi/upO6Mh862PI/default.jpg URL=http://www.youtube.com/watch?v=upO6Mh862PI description=Part 1a of the 2008 BC free response. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2008/v/ap-calculus-bc-exams-2008-1-b-c?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC Missed the previous lesson? https://www.khanacademy.org/math/ap-calculus-bc/bc-solved-exams/bc-solved-exams-2011/v/2011-calculus-bc-free-response-6d?utm_source=YT&utm_medium=Desc&utm_campaign=APCalculusBC AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy's AP Calculus BC channel: https://www.youtube.com/channel/UC5A2DBjjUVNz8axD-90jdfQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic Subtraction thumb=https://i.ytimg.com/vi/SgKPw8v4ZI4/default.jpg URL=http://www.youtube.com/watch?v=SgKPw8v4ZI4 description=Introduction to subtraction/description type=video name=Definite integral with substitution thumb=https://i.ytimg.com/vi/CbUx0S8BCtA/default.jpg URL=http://www.youtube.com/watch?v=CbUx0S8BCtA description=Solving a definite integral with substitution (or the reverse chain rule)/description type=video name=Equation of a tangent line | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/1KwW1v__T_0/default.jpg URL=http://www.youtube.com/watch?v=1KwW1v__T_0 description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/implicit_differentiation/v/implicit-differentiation-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/quotient-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=3-variable linear equations (part 1) thumb=https://i.ytimg.com/vi/5tB7y_piK6o/default.jpg URL=http://www.youtube.com/watch?v=5tB7y_piK6o description=Visual intuition of a 3-variable linear equation./description type=video name=Mean value theorem | Derivative applications | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/bGNMXfaNR5Q/default.jpg URL=http://www.youtube.com/watch?v=bGNMXfaNR5Q description=Intuition behind the Mean Value Theorem Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/derivative_applications/lhopital_rule/v/introduction-to-l-hopital-s-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/derivative_applications/mean_value_theorem/v/maximizing-function-at-value?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More implicit differentiation thumb=https://i.ytimg.com/vi/hrg1hCzg3W0/default.jpg URL=http://www.youtube.com/watch?v=hrg1hCzg3W0 description=2 more implicit differentiation examples/description type=video name=Hairy inflection point problem thumb=https://i.ytimg.com/vi/8G9rSqFsM3Y/default.jpg URL=http://www.youtube.com/watch?v=8G9rSqFsM3Y description=A very hairy (but hopefully instructive) example involving concativity and inflection points./description type=video name=Optimization Example 4 thumb=https://i.ytimg.com/vi/T8sG4Sb3g7Y/default.jpg URL=http://www.youtube.com/watch?v=T8sG4Sb3g7Y description=Minimizing the cost of material for an open rectangular box./description type=video name=More limits | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/rkeU8_4nzKo/default.jpg URL=http://www.youtube.com/watch?v=rkeU8_4nzKo description=More limit examples Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/limits-infinity/v/limits-and-infinity?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-w-brain-malfunction-on-first-prob-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponential Growth thumb=https://i.ytimg.com/vi/JWfTckls59k/default.jpg URL=http://www.youtube.com/watch?v=JWfTckls59k description=Exponential growth involving bacteria (some calculus in part c)./description type=video name=Squeeze theorem (sandwich theorem) | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/igJdDN-DPgA/default.jpg URL=http://www.youtube.com/watch?v=igJdDN-DPgA description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/proof-lim-sin-x-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/squeeze-theorem-exercise-example?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: lim (sin x)/x | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/Ve99biD1KtA/default.jpg URL=http://www.youtube.com/watch?v=Ve99biD1KtA description=Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1 Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/epsilon_delta/v/limit-intuition-review?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/squeeze_theorem/v/squeeze-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Negative exponent intuition | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Tqpcku0hrPU/default.jpg URL=http://www.youtube.com/watch?v=Tqpcku0hrPU description=Intuition on why a^-b = 1/(a^b) (and why a^0 =1) Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/e/exponents_2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/zero-negative-and-fractional-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/negative-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taylor Polynomials thumb=https://i.ytimg.com/vi/8SsC5st4LnI/default.jpg URL=http://www.youtube.com/watch?v=8SsC5st4LnI description=Approximating a function with a Taylor Polynomial More free lessons at: http://www.khanacademy.org/video?v=8SsC5st4LnI/description type=video name=Quadratic formula (proof) | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/mDmRYfma9C0/default.jpg URL=http://www.youtube.com/watch?v=mDmRYfma9C0 description=Deriving the quadratic formula by completing the square. Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-quadratic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/quadratic-equation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Completing the square thumb=https://i.ytimg.com/vi/gzm-uhj06q8/default.jpg URL=http://www.youtube.com/watch?v=gzm-uhj06q8 description=Solving a quadratic by completing the square./description type=video name=Simple Differential Equations thumb=https://i.ytimg.com/vi/C8mudsCSmcU/default.jpg URL=http://www.youtube.com/watch?v=C8mudsCSmcU description=3 basic differential equations that can be solved by taking the antiderivatives of both sides./description type=video name=Optimization with Calculus 3 thumb=https://i.ytimg.com/vi/i8Wtu-kdDC4/default.jpg URL=http://www.youtube.com/watch?v=i8Wtu-kdDC4 description=A wire of length 100 centimeters is cut into two pieces; one is bent to form a square, and the other is bent to form an equilateral triangle. Where should the cut be made if (a) the sum of the two areas is to be a minimum; (b) a maximum? (Allow the possibility of no cut.)/description type=video name=Optimization with Calculus 1 thumb=https://i.ytimg.com/vi/Ef22yTJDUZI/default.jpg URL=http://www.youtube.com/watch?v=Ef22yTJDUZI description=Find two numbers whose products is -16 and the sum of whose squares is a minimum. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/optimization?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=Optimization with Calculus 2 thumb=https://i.ytimg.com/vi/3GYv-BZYYdg/default.jpg URL=http://www.youtube.com/watch?v=3GYv-BZYYdg description=Find the volume of the largest open box that can be made from a piece of cardboard 24 inches square by cutting equal squares from the corners and turning up the sides./description type=video name=Singular matrices | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/UqyN7-tRS00/default.jpg URL=http://www.youtube.com/watch?v=UqyN7-tRS00 description=When and why you can't invert a matrix. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix-equations/v/matrix-equations-systems?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-matrices-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=How to use our resources thumb=https://i.ytimg.com/vi/oRLAJsbQYK8/default.jpg URL=http://www.youtube.com/watch?v=oRLAJsbQYK8 description=Information on all that we have to offer (videos and software)/description type=video name=Matrices to solve a vector combination problem | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/gsNgdVdAT1o/default.jpg URL=http://www.youtube.com/watch?v=gsNgdVdAT1o description=Using matrices to figure out if some combination of 2 vectors can create a 3rd vector Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/finding-the-determinant-of-a-3x3-matrix-method-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/matrices-to-solve-a-system-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrices to solve a system of equations | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/AUqeb9Z3y3k/default.jpg URL=http://www.youtube.com/watch?v=AUqeb9Z3y3k description=Using the inverse of a matrix to solve a system of equations. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/writing-systems-of-equations-as-matrix-equations?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/matrices-to-solve-a-vector-combination-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverse-matrix-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Graphing with Calculus thumb=https://i.ytimg.com/vi/ojcp0GJKluM/default.jpg URL=http://www.youtube.com/watch?v=ojcp0GJKluM description=More graphing with calculus./description type=video name=Calculus: Graphing using derivatives thumb=https://i.ytimg.com/vi/XHgmx9xT2dE/default.jpg URL=http://www.youtube.com/watch?v=XHgmx9xT2dE description=Sketching the graph of a function using critical and inflection points./description type=video name=Calculus: Maximum and minimum values on an interval thumb=https://i.ytimg.com/vi/gzmSKrwiG3g/default.jpg URL=http://www.youtube.com/watch?v=gzmSKrwiG3g description=2 examples of finding the maximum and minimum points on an interval./description type=video name=Monotonicity Theorem thumb=https://i.ytimg.com/vi/WrEcQsa-1ME/default.jpg URL=http://www.youtube.com/watch?v=WrEcQsa-1ME description=Using the monotonicity theorem to determine when a function is increasing or decreasing./description type=video name=Inflection point intuition thumb=https://i.ytimg.com/vi/FH8TpU9xqQg/default.jpg URL=http://www.youtube.com/watch?v=FH8TpU9xqQg description=How the first and second derivatives behave around an inflection point./description type=video name=Maxima Minima Slope Intuition thumb=https://i.ytimg.com/vi/tpHz0gZfVss/default.jpg URL=http://www.youtube.com/watch?v=tpHz0gZfVss description=Intuition on what happens to the slope/derivative and second derivatives at local maxima and minima./description type=video name=Limit examples w/ brain malfunction on first prob (part 4) | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/xjkSE9cPqzo/default.jpg URL=http://www.youtube.com/watch?v=xjkSE9cPqzo description=3 interesting limit examples (correct answer for problem 1 is 3/16 (6/(4*8) NOT 6/(4+8)) Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/more-limits?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Implicit Differentiation (part 2) thumb=https://i.ytimg.com/vi/PUsMyhds5S4/default.jpg URL=http://www.youtube.com/watch?v=PUsMyhds5S4 description=A hairier implicit differentiation problem./description type=video name=Classic video on inverting a 3x3 matrix part 2 | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/obts_JDS6_Q/default.jpg URL=http://www.youtube.com/watch?v=obts_JDS6_Q description=Using Gauss-Jordan elimination to invert a 3x3 matrix. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_3x3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/singular-matrices?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-matrices-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Classic video on inverting a 3x3 matrix part 1 | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/S4n-tQZnU6o/default.jpg URL=http://www.youtube.com/watch?v=S4n-tQZnU6o description=Inverting a 3x3 matrix Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/matrix_inverse_3x3?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-matrices-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverting-3x3-part-2-determinant-and-adjugate-of-a-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Idea behind inverting a 2x2 matrix | Matrices | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/iUQR0enP7RQ/default.jpg URL=http://www.youtube.com/watch?v=iUQR0enP7RQ description=What the inverse of a matrix is. Examples of inverting a 2x2 matrix. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/e/matrix_inverse_2x2?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Watch the next lesson: https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/matrices-to-solve-a-system-of-equations?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/precalc-matrices/inverting_matrices/v/inverse-of-a-2x2-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Matrix multiplication (part 2) thumb=https://i.ytimg.com/vi/OAh573i_qn8/default.jpg URL=http://www.youtube.com/watch?v=OAh573i_qn8 description=More on multiplying matrices./description type=video name=Introduction to matrices thumb=https://i.ytimg.com/vi/xyAuNHPsq-g/default.jpg URL=http://www.youtube.com/watch?v=xyAuNHPsq-g description=What a matrix is. How to add and subtract them. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/matrix_dimensions?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Matrix multiplication (part 1) thumb=https://i.ytimg.com/vi/aKhhYguY0DQ/default.jpg URL=http://www.youtube.com/watch?v=aKhhYguY0DQ description=Multiplying two 2x2 matrices. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/multiplying_a_matrix_by_a_matrix?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=Ladder rate-of-change problem thumb=https://i.ytimg.com/vi/hD3U65CcZ0Q/default.jpg URL=http://www.youtube.com/watch?v=hD3U65CcZ0Q description=The classic falling ladder problem/description type=video name=Implicit Differentiation thumb=https://i.ytimg.com/vi/sL6MC-lKOrw/default.jpg URL=http://www.youtube.com/watch?v=sL6MC-lKOrw description=Taking the derivative when y is defined implicitly./description type=video name=Singapore Math: Grade 3a Unit 2 (part 10) thumb=https://i.ytimg.com/vi/cD-iQLCg-ss/default.jpg URL=http://www.youtube.com/watch?v=cD-iQLCg-ss description=Some final 4 digit subtraction problems./description type=video name=Singapore Math: Grade 3a Unit 2 (part 11) thumb=https://i.ytimg.com/vi/8-4mIiNtV3k/default.jpg URL=http://www.youtube.com/watch?v=8-4mIiNtV3k description=Some 2-step word problems./description type=video name=Singapore Math: Grade 3a Unit 2 (part 9) thumb=https://i.ytimg.com/vi/C0avH_H2a5A/default.jpg URL=http://www.youtube.com/watch?v=C0avH_H2a5A description=More on subtracting 4-digit numbers/description type=video name=Singapore Math: Grade 3a Unit 2 (part 8) thumb=https://i.ytimg.com/vi/lbhM1ILFgF8/default.jpg URL=http://www.youtube.com/watch?v=lbhM1ILFgF8 description=Subtracting 4-digit numbers/description type=video name=Singapore Math: Grade 3a Unit 2 (part 7) thumb=https://i.ytimg.com/vi/CcdhwzN4lzk/default.jpg URL=http://www.youtube.com/watch?v=CcdhwzN4lzk description=Even more adding of 4-digit numbers/description type=video name=Singapore Math: Grade 3a Unit 2 (part 6) thumb=https://i.ytimg.com/vi/KffRJ3S3jHA/default.jpg URL=http://www.youtube.com/watch?v=KffRJ3S3jHA description=More adding of 4 digit numbers/description type=video name=Singapore Math: Grade 3a Unit 2 (part 5) thumb=https://i.ytimg.com/vi/AJxHM7EDh4o/default.jpg URL=http://www.youtube.com/watch?v=AJxHM7EDh4o description=Adding 4 digit numbers/description type=video name=Singapore Math: Grade 3a Unit 2 (part 4) thumb=https://i.ytimg.com/vi/Awx6eoc_XYU/default.jpg URL=http://www.youtube.com/watch?v=Awx6eoc_XYU description=Some more word problems/description type=video name=Singapore Math: Grade 3a Unit 2 (part 3) thumb=https://i.ytimg.com/vi/GVVOqaIdxp8/default.jpg URL=http://www.youtube.com/watch?v=GVVOqaIdxp8 description=A man selling balloons at a carnival./description type=video name=Singapore Math: Grade 3a Unit 2 (part 2) thumb=https://i.ytimg.com/vi/3ybPmFWZXwk/default.jpg URL=http://www.youtube.com/watch?v=3ybPmFWZXwk description=Word problem with cookies/description type=video name=Fun Trig Problem thumb=https://i.ytimg.com/vi/itpI12TeNIg/default.jpg URL=http://www.youtube.com/watch?v=itpI12TeNIg description=A trig problem involving the quadratic equation./description type=video name=Example: Analyzing a more complex resistor circuit | Physics | Khan Academy thumb=https://i.ytimg.com/vi/3NcIK0s3IwU/default.jpg URL=http://www.youtube.com/watch?v=3NcIK0s3IwU description=A hairy resistance problem. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/circuits-topic/circuits-resistance/v/analyzing-a-resistor-circuit-with-two-batteries?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/circuits-topic/circuits-resistance/v/circuits-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Resistors in parallel | Circuits | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ZrMw7P6P2Gw/default.jpg URL=http://www.youtube.com/watch?v=ZrMw7P6P2Gw description=Resistors that run alongside each other. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/circuits-topic/circuits-resistance/v/circuits-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/circuits-topic/circuits-resistance/v/circuits-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Resistors in series | Circuits | Physics | Khan Academy thumb=https://i.ytimg.com/vi/7vHh1sfZ5KE/default.jpg URL=http://www.youtube.com/watch?v=7vHh1sfZ5KE description=Resistors that come one after another. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/circuits-topic/circuits-resistance/v/circuits-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/circuits-topic/circuits-resistance/v/circuits-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Moments (part 2) | Moments, torque, and angular momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/peXbz0frV74/default.jpg URL=http://www.youtube.com/watch?v=peXbz0frV74 description=2 more moment problems. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/finding-torque-for-angled-forces?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/moments?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Moments | Moments, torque, and angular momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ESusD8HRLBI/default.jpg URL=http://www.youtube.com/watch?v=ESusD8HRLBI description=Introduction to moments. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/moments-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/introduction-to-torque?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Capacitance | Circuits | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ngOC4eUQl8Y/default.jpg URL=http://www.youtube.com/watch?v=ngOC4eUQl8Y description=Introduction to the capacitance of a two plate capacitor. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/circuits-topic/circuits-with-capacitors/v/energy-capacitor?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/circuits-topic/circuits-with-capacitors/v/capacitors-and-capacitance?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Voltage | Electric charge, electric force, and voltage | Physics | Khan Academy thumb=https://i.ytimg.com/vi/zqGvUbvVQXg/default.jpg URL=http://www.youtube.com/watch?v=zqGvUbvVQXg description=Sal explains the difference between electrical potential (voltage) and electrical potential energy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/electric-potential-voltage/v/electric-potential-at-a-point-in-space?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/electric-potential-voltage/v/electric-potential-energy-part-2-involves-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electric potential energy (part 2-- involves calculus) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/CqsYCIjSm9A/default.jpg URL=http://www.youtube.com/watch?v=CqsYCIjSm9A description=Electric potential energy difference in a varying field. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/electric-potential-voltage/v/voltage?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/electric-potential-voltage/v/electric-potential-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electric potential energy | Electrostatics | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/elJUghWSVh4/default.jpg URL=http://www.youtube.com/watch?v=elJUghWSVh4 description=Introduction to electric potential energy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/robots/all-about-spout/v/spout-bot-at-santa-rita-elementary-school?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics/ee-fields-potential-voltage/v/proof-advanced-field-from-infinite-plate-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Renting vs. Buying (detailed analysis) | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/mtL_plJXv3c/default.jpg URL=http://www.youtube.com/watch?v=mtL_plJXv3c description=Detailed analysis of the rent vs. buy decision. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/mortgages-tutorial/v/introduction-to-mortgage-loans?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-vs-buying-a-home-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Is it always better to buy than rent? What if home prices go up dramatically and rents don't? How can we compare home prices to rents to figure out what to do. This older tutorial (low-res, bad handwriting) walks us through this. It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Singapore Math: Grade 3a Unit 2 (part 1) thumb=https://i.ytimg.com/vi/K5xnULMbtH0/default.jpg URL=http://www.youtube.com/watch?v=K5xnULMbtH0 description=The sum of and difference between 2 numbers./description type=video name=Singapore Math: Grade 3a, Unit 1 (part 9) thumb=https://i.ytimg.com/vi/kNuBFpN7z18/default.jpg URL=http://www.youtube.com/watch?v=kNuBFpN7z18 description=More number patterns with place value/description type=video name=Singapore Math: Grade 3a, Unit 1 (part 8) thumb=https://i.ytimg.com/vi/e9MA-Dpt1_w/default.jpg URL=http://www.youtube.com/watch?v=e9MA-Dpt1_w description=More on number patterns with place value./description type=video name=Singapore Math: Grade 3a, Unit 1 (part 7) thumb=https://i.ytimg.com/vi/QNXy9NEKSzE/default.jpg URL=http://www.youtube.com/watch?v=QNXy9NEKSzE description=Place value, ordering numbers, number patterns/description type=video name=Singapore Math: Grade 3a, Unit 1 (part 6) thumb=https://i.ytimg.com/vi/3phL9GRSY3g/default.jpg URL=http://www.youtube.com/watch?v=3phL9GRSY3g description=Ordering numbers using place value/description type=video name=Singapore Math: Grade 3a, Unit 1 (part 5) thumb=https://i.ytimg.com/vi/2eSH9zCAA9Q/default.jpg URL=http://www.youtube.com/watch?v=2eSH9zCAA9Q description=Even more on place value/description type=video name=Singapore Math: Grade 3a, Unit 1 (part 4) thumb=https://i.ytimg.com/vi/1TjtFhuMdU8/default.jpg URL=http://www.youtube.com/watch?v=1TjtFhuMdU8 description=More on place value/description type=video name=Singapore Math: Grade 3a, Unit 1 (part 3) thumb=https://i.ytimg.com/vi/f1zhOtnCWM4/default.jpg URL=http://www.youtube.com/watch?v=f1zhOtnCWM4 description=Objectives: Read and write numbers less than 10,000. Relate each digit in a 4-digit number to its place value. Compare and order numbers within 10,000./description type=video name=Singapore Math: Grade 3a Unit 1 (part 2) thumb=https://i.ytimg.com/vi/KdBbnMAuMqw/default.jpg URL=http://www.youtube.com/watch?v=KdBbnMAuMqw description=Objectives: Read and write numbers less than 10,000. Relate each digit in a 4-digit number to its place value./description type=video name=Singapore Math: Grade 3a, Unit 1 (part 1) thumb=https://i.ytimg.com/vi/DjCdzM40LDM/default.jpg URL=http://www.youtube.com/watch?v=DjCdzM40LDM description=Objectives: Read and write numbers less than 10,000. Relate each 4-digit number to its place value./description type=video name=Proof: Field from infinite plate (part 2) | Electrostatics | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/TxwE4_dXo8s/default.jpg URL=http://www.youtube.com/watch?v=TxwE4_dXo8s description=We see that the infinite, uniformly charged plate generates a constant electric field (independent of the height above the plate). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics/ee-fields-potential-voltage/v/electric-potential-energy?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics/ee-fields-potential-voltage/v/proof-advanced-field-from-infinite-plate-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: Field from infinite plate (part 1) | Electrostatics | Electrical engineering | Khan Academy thumb=https://i.ytimg.com/vi/prLfVucoxpw/default.jpg URL=http://www.youtube.com/watch?v=prLfVucoxpw description=Advanced proof of the formula for the electric field generated by a uniformly charged, infinite plate. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics/ee-fields-potential-voltage/v/proof-advanced-field-from-infinite-plate-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Missed the previous lesson? https://www.khanacademy.org/science/electrical-engineering/ee-electrostatics/ee-electric-force-and-electric-field/v/coulombs-law?utm_source=YT&utm_medium=Desc&utm_campaign=electricalengineering Electrical engineering on Khan Academy: A summary of the math and science preparation that will help you have the best experience with electrical engineering taught on Khan Academy. Become familiar with engineering numbers and notation, and learn about the two most important electrical quantities: current and voltage. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Electrical Engineering channel: https://www.youtube.com/channel/UC8JT97hQjMVWeO0B-x8eVxQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electric field | Electric charge, electric force, and voltage | Physics | Khan Academy thumb=https://i.ytimg.com/vi/0YOGrTNgGhE/default.jpg URL=http://www.youtube.com/watch?v=0YOGrTNgGhE description=We can think of the forces between charges as something that comes from a property of space. That property is called the electric field. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/electric-field/v/proof-advanced-field-from-infinite-plate-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/electric-charge-electric-force-and-voltage/charge-electric-force/v/conservation-of-charge?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Electrostatics (part 1) thumb=https://i.ytimg.com/vi/Pu_u-bwfaeI/default.jpg URL=http://www.youtube.com/watch?v=Pu_u-bwfaeI description=Introduction to Coulomb's Law/description type=video name=Binomial theorem combinatorics connection | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/xF_hJaXUNfE/default.jpg URL=http://www.youtube.com/watch?v=xF_hJaXUNfE description=Intuition behind why binomial expansion involves combinatorics Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/simplifying-rational-expressions/v/simplifying-rational-expressions-introduction?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-expansion-algorithm?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: d/dx(x^n) | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/dZnc3PtNaN4/default.jpg URL=http://www.youtube.com/watch?v=dZnc3PtNaN4 description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/proof-d-dx-sqrt-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/derivative-properties-and-polynomial-derivatives?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Binomial Theorem (part 1) thumb=https://i.ytimg.com/vi/Cv4YhIMfbeM/default.jpg URL=http://www.youtube.com/watch?v=Cv4YhIMfbeM description=Introduction to raising (a+b)^n/description type=video name=Binomial Theorem (part 2) thumb=https://i.ytimg.com/vi/-fFWWt1m9k0/default.jpg URL=http://www.youtube.com/watch?v=-fFWWt1m9k0 description=Binomial Theorem and Pascal's Triangle/description type=video name=Conditional probability and combinations | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/xw6utjoyMi4/default.jpg URL=http://www.youtube.com/watch?v=xw6utjoyMi4 description=Probability that I picked a fair coin given that I flipped 4 out of 6 heads. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/bayes-theorem-visualized?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/generalizing-with-binomial-coefficients-bit-advanced?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability and combinations (part 2) | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/W7DmsJKLoxc/default.jpg URL=http://www.youtube.com/watch?v=W7DmsJKLoxc description=Making at least 3 out of 5 free throws. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/probability-using-combinations?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/getting-exactly-two-heads-combinatorics?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability using combinations | Probability and Statistics | Khan Academy thumb=https://i.ytimg.com/vi/Xqfcy1rqMbI/default.jpg URL=http://www.youtube.com/watch?v=Xqfcy1rqMbI description=Probability of getting exactly 3 heads in 8 flips of a fair coin. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/e/probability_with_perm_comb?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/exactly-three-heads-in-five-flips?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/probability_combinatorics/v/probability-and-combinations-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probability. Did you check the weather forecast? Busted! Did you decide to go through the drive through lane vs walk in? Busted again! We are constantly creating hypotheses, making predictions, testing, and analyzing. Our lives are full of probabilities! Statistics is related to probability because much of the data we use when determining probable outcomes comes from our understanding of statistics. In these tutorials, we will cover a range of topics, some which include: independent events, dependent probability, combinatorics, hypothesis testing, descriptive statistics, random variables, probability distributions, regression, and inferential statistics. So buckle up and hop on for a wild ride. We bet you're going to be challenged AND love it! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Probability and Statistics channel: https://www.youtube.com/channel/UCRXuOXLW3LcQLWvxbZiIZ0w?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Combinations thumb=https://i.ytimg.com/vi/bCxMhncR7PU/default.jpg URL=http://www.youtube.com/watch?v=bCxMhncR7PU description=Introduction to combinations More free lessons at: http://www.khanacademy.org/video?v=bCxMhncR7PU/description type=video name=Permutations thumb=https://i.ytimg.com/vi/XqQTXW7XfYA/default.jpg URL=http://www.youtube.com/watch?v=XqQTXW7XfYA description=Introduction to permutations More free lessons at: http://www.khanacademy.org/video?v=XqQTXW7XfYA/description type=video name=Proof: d/dx(sqrt(x)) | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/789aMeepbxI/default.jpg URL=http://www.youtube.com/watch?v=789aMeepbxI description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/calculus-derivatives-3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/proof-d-dx-x-n?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Probability (part 8) thumb=https://i.ytimg.com/vi/VVr8snbaxZg/default.jpg URL=http://www.youtube.com/watch?v=VVr8snbaxZg description=Introduction to Bayes' Theorem More free lessons at: http://www.khanacademy.org/video?v=VVr8snbaxZg/description type=video name=Probability (part 7) thumb=https://i.ytimg.com/vi/BLcgeLALLnc/default.jpg URL=http://www.youtube.com/watch?v=BLcgeLALLnc description=More on conditional probability. Touch on Bayes' Theorem. More free lessons at: http://www.khanacademy.org/video?v=BLcgeLALLnc/description type=video name=Probability (part 6) thumb=https://i.ytimg.com/vi/xf3vfczoCho/default.jpg URL=http://www.youtube.com/watch?v=xf3vfczoCho description=Introduction to conditional probability More free lessons at: http://www.khanacademy.org/video?v=xf3vfczoCho/description type=video name=Probability (part 5) thumb=https://i.ytimg.com/vi/2XToWi9j0Tk/default.jpg URL=http://www.youtube.com/watch?v=2XToWi9j0Tk description=Probability of getting a certain number roll in Monopoly More free lessons at: http://www.khanacademy.org/video?v=2XToWi9j0Tk/description type=video name=Probability (part 4) thumb=https://i.ytimg.com/vi/W581OBM9rAY/default.jpg URL=http://www.youtube.com/watch?v=W581OBM9rAY description=More on free throws. More free lessons at: http://www.khanacademy.org/video?v=W581OBM9rAY/description type=video name=Probability (part 3) thumb=https://i.ytimg.com/vi/wBDOCvHYckE/default.jpg URL=http://www.youtube.com/watch?v=wBDOCvHYckE description=More on probability. More free lessons at: http://www.khanacademy.org/video?v=wBDOCvHYckE/description type=video name=Probability (part 2) thumb=https://i.ytimg.com/vi/6E_NVnboMB8/default.jpg URL=http://www.youtube.com/watch?v=6E_NVnboMB8 description=Let's flip a coin. More free lessons at: http://www.khanacademy.org/video?v=6E_NVnboMB8/description type=video name=Probability (part 1) thumb=https://i.ytimg.com/vi/3ER8OkqBdpE/default.jpg URL=http://www.youtube.com/watch?v=3ER8OkqBdpE description=What probability is. More free lessons at: http://www.khanacademy.org/video?v=3ER8OkqBdpE/description type=video name=Polynomial approximations of functions (part 5) thumb=https://i.ytimg.com/vi/9AoDucUmO20/default.jpg URL=http://www.youtube.com/watch?v=9AoDucUmO20 description=MacLaurin representation of sin x More free lessons at: http://www.khanacademy.org/video?v=9AoDucUmO20/description type=video name=Polynomial approximation of functions (part 7) thumb=https://i.ytimg.com/vi/bC5Lahh4Aus/default.jpg URL=http://www.youtube.com/watch?v=bC5Lahh4Aus description=The most amazing conclusion in mathematics! More free lessons at: http://www.khanacademy.org/video?v=bC5Lahh4Aus/description type=video name=Polynomial approximation of functions (part 6) thumb=https://i.ytimg.com/vi/-gRNRBCG3Ow/default.jpg URL=http://www.youtube.com/watch?v=-gRNRBCG3Ow description=A pattern emerges! More free lessons at: http://www.khanacademy.org/video?v=-gRNRBCG3Ow/description type=video name=Polynomial approximation of functions (part 4) thumb=https://i.ytimg.com/vi/gcJeg4SdIpU/default.jpg URL=http://www.youtube.com/watch?v=gcJeg4SdIpU description=Approximating cos x with a Maclaurin series. More free lessons at: http://www.khanacademy.org/video?v=gcJeg4SdIpU/description type=video name=Polynomial approximation of functions (part 2) thumb=https://i.ytimg.com/vi/3JG3qn7-Sac/default.jpg URL=http://www.youtube.com/watch?v=3JG3qn7-Sac description=Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series) More free lessons at: http://www.khanacademy.org/video?v=3JG3qn7-Sac/description type=video name=Approximating functions with polynomials (part 3) thumb=https://i.ytimg.com/vi/XZDGrbyz0v0/default.jpg URL=http://www.youtube.com/watch?v=XZDGrbyz0v0 description=A glimpse of the mystery of the Universe as we approximate e^x with an infinite series. More free lessons at: http://www.khanacademy.org/video?v=XZDGrbyz0v0/description type=video name=Polynomial approximation of functions (part 1) thumb=https://i.ytimg.com/vi/sy132cgqaiU/default.jpg URL=http://www.youtube.com/watch?v=sy132cgqaiU description=Using a polynomial to approximate a function at f(0). More free lessons at: http://www.khanacademy.org/video?v=sy132cgqaiU/description type=video name=Proof: d/dx(e^x) = e^x | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/sSE6_fK3mu0/default.jpg URL=http://www.youtube.com/watch?v=sSE6_fK3mu0 description=Proof that the derivative of e^x is e^x. Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/der_common_functions/v/proofs-of-derivatives-of-ln-x-and-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/der_common_functions/v/proof-d-dx-ln-x-1-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: d/dx(ln x) = 1/x | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/yUpDRpkUhf4/default.jpg URL=http://www.youtube.com/watch?v=yUpDRpkUhf4 description=Taking the derivative of ln x Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/der_common_functions/v/proof-d-dx-e-x-e-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivatives-inverse-functions/v/derivative-log-properties?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Sequences and series (part 2) thumb=https://i.ytimg.com/vi/U_8GRLJplZg/default.jpg URL=http://www.youtube.com/watch?v=U_8GRLJplZg description=Finding the sum of an infinite geometric series./description type=video name=Sequences and Series (part 1) thumb=https://i.ytimg.com/vi/VgVJrSJxkDk/default.jpg URL=http://www.youtube.com/watch?v=VgVJrSJxkDk description=Introduction to the arithmetic and geometric series Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/understanding-sequences?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=Solid of Revolution (part 8) thumb=https://i.ytimg.com/vi/4Flj9plmKGQ/default.jpg URL=http://www.youtube.com/watch?v=4Flj9plmKGQ description=The last part of the problem in part 7 More free lessons at: http://www.khanacademy.org/video?v=4Flj9plmKGQ/description type=video name=Solid of Revolution (part 7) thumb=https://i.ytimg.com/vi/IZ8W-h764Cc/default.jpg URL=http://www.youtube.com/watch?v=IZ8W-h764Cc description=Taking the revolution around something other than one of the axes. More free lessons at: http://www.khanacademy.org/video?v=IZ8W-h764Cc/description type=video name=Solid of Revolution (part 6) thumb=https://i.ytimg.com/vi/F2psxMnGdUw/default.jpg URL=http://www.youtube.com/watch?v=F2psxMnGdUw description=Using the disk method around the y-axis. More free lessons at: http://www.khanacademy.org/video?v=F2psxMnGdUw/description type=video name=Solid of Revolution (part 5) thumb=https://i.ytimg.com/vi/NIdqkwocNuE/default.jpg URL=http://www.youtube.com/watch?v=NIdqkwocNuE description=Use the "shell method" to rotate about the y-axis More free lessons at: http://www.khanacademy.org/video?v=NIdqkwocNuE/description type=video name=Solid of Revolution (part 4) thumb=https://i.ytimg.com/vi/OtmjNuiTHp0/default.jpg URL=http://www.youtube.com/watch?v=OtmjNuiTHp0 description=More volumes around the x-axis. More free lessons at: http://www.khanacademy.org/video?v=OtmjNuiTHp0/description type=video name=Solid of Revolution (part 3) thumb=https://i.ytimg.com/vi/tqfU9mC2yFU/default.jpg URL=http://www.youtube.com/watch?v=tqfU9mC2yFU description=Figuring out the equation for the volume of a sphere. More free lessons at: http://www.khanacademy.org/video?v=tqfU9mC2yFU/description type=video name=Solid of Revolution (part 2) thumb=https://i.ytimg.com/vi/iUzfsUOl3-A/default.jpg URL=http://www.youtube.com/watch?v=iUzfsUOl3-A description=The volume of y=sqrt(x) between x=0 and x=1 rotated around x-axis More free lessons at: http://www.khanacademy.org/video?v=iUzfsUOl3-A/description type=video name=Solid of Revolution (part 1) thumb=https://i.ytimg.com/vi/R_aqSL-q6_8/default.jpg URL=http://www.youtube.com/watch?v=R_aqSL-q6_8 description=Figuring out the volume of a function rotated about the x-axis. More free lessons at: http://www.khanacademy.org/video?v=R_aqSL-q6_8/description type=video name=Thermodynamics part 5: Molar ideal gas law problem | Physics | Khan Academy thumb=https://i.ytimg.com/vi/UekR9J31a2o/default.jpg URL=http://www.youtube.com/watch?v=UekR9J31a2o description=Sal uses the molar version of the ideal gas law to solve for the number of moles in a gas. He also shows how to convert this answer into number of molecules using Avogadro's number. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/maxwell-boltzmann-distribution?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermodynamics part 4: Moles and the ideal gas law | Physics | Khan Academy thumb=https://i.ytimg.com/vi/5B1i26dUwME/default.jpg URL=http://www.youtube.com/watch?v=5B1i26dUwME description=Sal explains the concept of a mole. Then he derives the molar version of the ideal gas law PV=nRT, where the gas constant R=8.31 J/molK. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermodynamics part 3: Kelvin scale and Ideal gas law example | Physics | Khan Academy thumb=https://i.ytimg.com/vi/HvYUKRMT0VI/default.jpg URL=http://www.youtube.com/watch?v=HvYUKRMT0VI description=Sal makes the case for the Kelvin scale of temperature and absolute zero by showing that temperature is proportional to kinetic energy. Then he explains that you need to use the Kelvin scale in the ideal gas law. To finish he does a sample ideal gas law problem. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermodynamics part 2: Ideal gas law | Thermodynamics | Physics | Khan Academy thumb=https://i.ytimg.com/vi/x34OTtDE5q8/default.jpg URL=http://www.youtube.com/watch?v=x34OTtDE5q8 description=Intuition of how gases generate pressure in a container and why pressure x volume is proportional to the combined kinetic energy of the molecules in the volume. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Thermodynamics part 1: Molecular theory of gases | Physics | Khan Academy thumb=https://i.ytimg.com/vi/tQcB9BLUoVI/default.jpg URL=http://www.youtube.com/watch?v=tQcB9BLUoVI description=Intuition of how gases generate pressure in a container and why pressure x volume is proportional to the combined kinetic energy of the molecules in the volume. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/thermodynamics/temp-kinetic-theory-ideal-gas-law/v/thermodynamics-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/surface-tension-and-adhesion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Complex Numbers (part 1) thumb=https://i.ytimg.com/vi/kpywdu1afas/default.jpg URL=http://www.youtube.com/watch?v=kpywdu1afas description=Introduction to complex numbers. Adding, subtracting and multiplying complex numbers./description type=video name=Complex Numbers (part 2) thumb=https://i.ytimg.com/vi/bPqB9a1uk_8/default.jpg URL=http://www.youtube.com/watch?v=bPqB9a1uk_8 description=Dividing complex numbers. Complex conjugates./description type=video name=Interest (part 2) | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/t4zfiBw0hwM/default.jpg URL=http://www.youtube.com/watch?v=t4zfiBw0hwM description=More on simple and compound interest. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/credit-card-interest/v/annual-percentage-rate-apr-and-effective-apr?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial/v/introduction-to-interest?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is a good introduction to the basic concept of interest. We will warn you that it is an older video so Sal's sound and handwriting weren't quite up to snuff then. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to interest | Interest and debt | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/GtaoP0skPWc/default.jpg URL=http://www.youtube.com/watch?v=GtaoP0skPWc description=What interest is. Simple versus compound interest. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/interest-basics-tutorial/v/interest-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/interest-tutorial/compound-interest-tutorial/v/the-rule-of-72-for-compound-interest?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This is a good introduction to the basic concept of interest. We will warn you that it is an older video so Sal's sound and handwriting weren't quite up to snuff then. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound interest and e (part 4) | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/VAxHMTJRhmY/default.jpg URL=http://www.youtube.com/watch?v=VAxHMTJRhmY description=Continuously compounding for multiple years. Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/logarithms?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/compound-interest-and-e-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound interest and e (part 3) | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/sQYpUJV8foY/default.jpg URL=http://www.youtube.com/watch?v=sQYpUJV8foY description=Continuously compounding $P in principal at an annual interest rate of r for a year ends up with a final payment of $Pe^r Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/compound-interest-and-e-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/compound-interest-and-e-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to compound interest and e | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/qEB6y4DklNY/default.jpg URL=http://www.youtube.com/watch?v=qEB6y4DklNY description=Compounding interest multiple times a year. Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/compound-interest-and-e-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/interest-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Compound interest and e (part 2) | Exponential and logarithmic functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/dzMvqJMLy9c/default.jpg URL=http://www.youtube.com/watch?v=dzMvqJMLy9c description=Compounding 100% annual interest continuously over a year converges to e (2.71...) Watch the next lesson: https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/compound-interest-and-e-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/continuous_compounding/v/introduction-to-compound-interest-and-e?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bernoulli's example problem | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/xlJYYM5TWoA/default.jpg URL=http://www.youtube.com/watch?v=xlJYYM5TWoA description=Sal solves a Bernoulli's equation example problem where fluid is moving through a pipe of varying diameter. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/viscosity-and-poiseuille-flow?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-11?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bernoulli's equation (part 4) | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/HnfBFeLunk4/default.jpg URL=http://www.youtube.com/watch?v=HnfBFeLunk4 description=Clarification of, and more thoughts on, the Bernoulli's equation example problem where liquid exits a hole in a container. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-12?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-10?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bernoulli's equation (part 3) | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/NGpJPz44JYc/default.jpg URL=http://www.youtube.com/watch?v=NGpJPz44JYc description=Sal finishes the example problem where liquid exits a hole in a container. . Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-11?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-9?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bernoulli's equation (part 2) | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/QX2YLR09Q78/default.jpg URL=http://www.youtube.com/watch?v=QX2YLR09Q78 description=This is the second of two videos where Sal derives Bernoulli's equation. In the second half of the video Sal also begins an example problem where liquid exits a hole in a container. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-10?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-8?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Bernoulli's equation (part 1) | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/uqyLOuAzbvo/default.jpg URL=http://www.youtube.com/watch?v=uqyLOuAzbvo description=This is the first of two videos where Sal derives Bernoulli's equation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-9?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-7?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Volume flow rate and equation of continuity | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/G4CgOF4ccXk/default.jpg URL=http://www.youtube.com/watch?v=G4CgOF4ccXk description=Sal introduces the notion of moving fluids and laminar flow. Then he uses the incompressibility of a liquid to show that the volume flow rate (flux) must remain constant. Sal then derives the equation of continuity in terms of the area and speed. . Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-8?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/buoyant-force-and-archimedes-principle/v/fluids-part-6?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Buoyant force example problems | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/wwjtuZ5vTvc/default.jpg URL=http://www.youtube.com/watch?v=wwjtuZ5vTvc description=A couple of problems involving Archimedes' principle and buoyant forces. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/fluid-dynamics/v/fluids-part-7?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/buoyant-force-and-archimedes-principle/v/fluids-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Archimedes principle and buoyant force | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/vzID7ds600c/default.jpg URL=http://www.youtube.com/watch?v=vzID7ds600c description=Introduction to Archimedes' principle and buoyant force. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/buoyant-force-and-archimedes-principle/v/fluids-part-6?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/fluids-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pressure at a depth in a fluid | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/5EWjlpc0S00/default.jpg URL=http://www.youtube.com/watch?v=5EWjlpc0S00 description=Sal finishes the calculation or work to determine the mechanical advantage in a U-shaped tube. He also explains pressure and Pascal's Principal. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/fluids-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/fluids-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Finding height of fluid in a barometer | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/i6gz9VFyYks/default.jpg URL=http://www.youtube.com/watch?v=i6gz9VFyYks description=Using our understanding of fluid pressure to figure out the height of a column of mercury. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/buoyant-force-and-archimedes-principle/v/fluids-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/fluids-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pressure and Pascal's principle (part 2) | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/lWDtFHDVqqk/default.jpg URL=http://www.youtube.com/watch?v=lWDtFHDVqqk description=Sal finishes the calculation or work to determine the mechanical advantage in a U-shaped tube. He also explains pressure and Pascal's Principal. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/fluids-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/fluids-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pressure and Pascal's principle (part 1) | Fluids | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Pn5YEMwQb4Y/default.jpg URL=http://www.youtube.com/watch?v=Pn5YEMwQb4Y description=Sal explains the difference between liquids and gasses (both fluids). He then starts a calculation of the work done on a liquid in a U-shaped container. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/fluids-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/specific-gravity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Harmonic motion part 3 (no calculus) | Oscillatory motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/oqBHBO8cqLI/default.jpg URL=http://www.youtube.com/watch?v=oqBHBO8cqLI description=Figuring out the period, frequency, and amplitude of the harmonic motion of a mass attached to a spring. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/fluids/density-and-pressure/v/specific-gravity?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/oscillatory-motion/harmonic-motion/v/harmonic-motion-part-2-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Harmonic motion part 2 (calculus) | Oscillatory motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/xoUppFlif04/default.jpg URL=http://www.youtube.com/watch?v=xoUppFlif04 description=We test whether Acos(wt) can describe the motion of the mass on a spring by substituting into the differential equation F=-kx. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/oscillatory-motion/harmonic-motion/v/harmonic-motion-part-3-no-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/oscillatory-motion/harmonic-motion/v/introduction-to-harmonic-motion?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to harmonic motion | Oscillatory motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Nk2q-_jkJVs/default.jpg URL=http://www.youtube.com/watch?v=Nk2q-_jkJVs description=Intuition behind the motion of a mass on a spring (some calculus near the end). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/oscillatory-motion/harmonic-motion/v/harmonic-motion-part-2-calculus?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/cross-product-and-torque?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Spring potential energy example (mistake in math) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/P3QV9ktuYlQ/default.jpg URL=http://www.youtube.com/watch?v=P3QV9ktuYlQ description=A spring, a frozen loop-d-loop and more! (See if you can find the mistake I made and get the right answer!). Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/lol-diagrams?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/potential-energy-stored-in-a-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Potential energy stored in a spring | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/eVl5zs6Lqy0/default.jpg URL=http://www.youtube.com/watch?v=eVl5zs6Lqy0 description=Work needed to compress a spring is the same thing as the potential energy stored in the compressed spring. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/spring-potential-energy-example-mistake-in-math?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/intro-to-springs-and-hooke-s-law?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Intro to springs and Hooke's law | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/ZzwuHS9ldbY/default.jpg URL=http://www.youtube.com/watch?v=ZzwuHS9ldbY description=Introduction to Hooke's Law. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/potential-energy-stored-in-a-spring?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/power?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Newton's law of gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/391txUI76gM/default.jpg URL=http://www.youtube.com/watch?v=391txUI76gM description=A little bit on gravity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/gravitation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/space-station-speed-in-orbit?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Gravitation (part 2) | Centripetal force and gravitation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/8i0j3j16yFk/default.jpg URL=http://www.youtube.com/watch?v=8i0j3j16yFk description=A little bit more on gravity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/introduction-to-work-and-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/introduction-to-newton-s-law-of-gravitation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculus Proof that a=v^2/r thumb=https://i.ytimg.com/vi/YRBRarbMCyE/default.jpg URL=http://www.youtube.com/watch?v=YRBRarbMCyE description=Using calculus and vectors to show that centripetal acceleration = v^2/r/description type=video name=Conservation of angular momemtum thumb=https://i.ytimg.com/vi/s_R8d3isJDA/default.jpg URL=http://www.youtube.com/watch?v=s_R8d3isJDA description=Angular momentum is constant when there is no net torque. More free lessons at: http://www.khanacademy.org/video?v=s_R8d3isJDA/description type=video name=Introduction to angular velocity thumb=https://i.ytimg.com/vi/X4UTe1fZUzI/default.jpg URL=http://www.youtube.com/watch?v=X4UTe1fZUzI description=Angular velocity or how fast something is spinning./description type=video name=Visual Proof: a= v^2/r thumb=https://i.ytimg.com/vi/TNX-Z6XR3gA/default.jpg URL=http://www.youtube.com/watch?v=TNX-Z6XR3gA description=Visual proof that centripetal acceleration = v^2/r/description type=video name=Centripetal Acceleration (part 3) thumb=https://i.ytimg.com/vi/p3AGlD6g8X8/default.jpg URL=http://www.youtube.com/watch?v=p3AGlD6g8X8 description=How fast does a car need to go to complete a loop-d-loop./description type=video name=Centripetal Acceleration (part 2) thumb=https://i.ytimg.com/vi/UmiotSKSRvw/default.jpg URL=http://www.youtube.com/watch?v=UmiotSKSRvw description=More intuition on centripetal acceleration. A simple orbit problem./description type=video name=Introduction to centripetal acceleration (part 1) thumb=https://i.ytimg.com/vi/GBGGh2Ie4d0/default.jpg URL=http://www.youtube.com/watch?v=GBGGh2Ie4d0 description=Intuition behind what it takes to make something travel in a circle/description type=video name=Projectile motion with ordered set notation | Physics | Khan Academy thumb=https://i.ytimg.com/vi/jl_gQ-eL3xo/default.jpg URL=http://www.youtube.com/watch?v=jl_gQ-eL3xo description=Solving the second part to the projectile motion problem (with wind gust) using ordered set vector notation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/optimal-projectile-angle/v/optimal-angle-for-a-projectile-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vector-notation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit vector notation (part 2) | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/595Tiga1gIg/default.jpg URL=http://www.youtube.com/watch?v=595Tiga1gIg description=More on unit vector notation. Showing that adding the x and y components of two vectors is equivalent to adding the vectors visually using the head-to-tail method. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/projectile-motion-with-ordered-set-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vector-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit vector notation | Two-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/FaF3v-ezbSk/default.jpg URL=http://www.youtube.com/watch?v=FaF3v-ezbSk description=Expressing a vector as the scaled sum of unit vectors. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vector-notation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/unit-vectors-and-engineering-notation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the yield curve | Stocks and bonds | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/b_cAxh44aNQ/default.jpg URL=http://www.youtube.com/watch?v=b_cAxh44aNQ description=Introduction to the treasury yield curve. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/relationship-between-bond-prices-and-interest-rates?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/stock-and-bonds/bonds-tutorial/v/introduction-to-bonds?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Both corporations and governments can borrow money by selling bonds. This tutorial explains how this works and how bond prices relate to interest rates. In general, understanding this not only helps you with your own investing, but gives you a lens on the entire global economy. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Housing price conundrum (part 4) | Current Economics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/s6UYa2nwaDw/default.jpg URL=http://www.youtube.com/watch?v=s6UYa2nwaDw description=The virtuous circle of housing price appreciation making defaults go down making lending lax making housing appreciate even more. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/credit-crisis/v/wealth-destruction-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/housing-price-conundrum/v/housing-price-conundrum-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Housing price conundrum (part 3) | Current Economics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/aAfMps_VyOY/default.jpg URL=http://www.youtube.com/watch?v=aAfMps_VyOY description=Why did lending standards become more and more lax from 2000 to 2006? Created bySal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/housing-price-conundrum/v/housing-price-conundrum-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/housing-price-conundrum/v/housing-price-conundrum-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Housing price conundrum (part 2) | Current Economics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/wYAhlTHIBT4/default.jpg URL=http://www.youtube.com/watch?v=wYAhlTHIBT4 description=How lower lending standards led to housing price inflation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/housing-price-conundrum/v/housing-price-conundrum-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/housing-price-conundrum/v/the-housing-price-conundrum?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The housing price conundrum | Current Economics | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/8IR5LefXVPY/default.jpg URL=http://www.youtube.com/watch?v=8IR5LefXVPY description=Why did housing prices go up so much from 2000-2006 even though classical supply/demand would not have called for it. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/housing-price-conundrum/v/housing-price-conundrum-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/current-economics/unemployment-tutorial/v/simple-analysis-of-cost-per-job-saved-from-stimulus?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=What happens when housing depreciates | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/QA2TBiIsdT0/default.jpg URL=http://www.youtube.com/watch?v=QA2TBiIsdT0 description=Factoring in appreciation and depreciation into the rent vs. buy decision. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-vs-buying-detailed-analysis?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-vs-buying-a-home?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Is it always better to buy than rent? What if home prices go up dramatically and rents don't? How can we compare home prices to rents to figure out what to do. This older tutorial (low-res, bad handwriting) walks us through this. It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Is buying a home always better? | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/YL10H_EcB-E/default.jpg URL=http://www.youtube.com/watch?v=YL10H_EcB-E description=The math of renting vs. buying a home. Challenging the notion that it is always better to buy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-vs-buying-a-home-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-versus-buying-a-home?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Is it always better to buy than rent? What if home prices go up dramatically and rents don't? How can we compare home prices to rents to figure out what to do. This older tutorial (low-res, bad handwriting) walks us through this. It is about housing but similar thinking can be applied to any rent-vs-buy decision (spoiler alert, Sal did eventually buy a home). About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Housing equity loans | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/7rrSuhFC7I0/default.jpg URL=http://www.youtube.com/watch?v=7rrSuhFC7I0 description=Simple example of borrowing from equity to fuel consumption. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/renting-v-buying/v/renting-versus-buying-a-home?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-equity-tutorial/v/more-on-balance-sheets-and-equity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet. Since homes are usually the biggest part of these personal balance sheets, we cover that too. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More on balance sheets and equity | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/U2Nw5T44zvY/default.jpg URL=http://www.youtube.com/watch?v=U2Nw5T44zvY description=What happens to equity when the value of the assets increase or decrease? Created bySal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-equity-tutorial/v/home-equity-loans?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-equity-tutorial/v/introduction-to-balance-sheets?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet. Since homes are usually the biggest part of these personal balance sheets, we cover that too. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Balance Sheets | Housing | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/mxsYHiDVNlk/default.jpg URL=http://www.youtube.com/watch?v=mxsYHiDVNlk description=Using a home purchase to illustrate assets, liabilities and owner's equity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/housing/home-equity-tutorial/v/more-on-balance-sheets-and-equity?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: This old and badly drawn tutorial covers a topic essential to anyone planning to not live in the woods -- your personal balance sheet. Since homes are usually the biggest part of these personal balance sheets, we cover that too. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to torque | Moments, torque, and angular momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/QhuJn8YBtmg/default.jpg URL=http://www.youtube.com/watch?v=QhuJn8YBtmg description=An introduction to torque. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/torque-tutorial/v/moments?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/rotational-kinematic-formulas?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Center of mass | Impacts and linear momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/VrflZifKIuw/default.jpg URL=http://www.youtube.com/watch?v=VrflZifKIuw description=In this video, David solves an example elastic collision problem to find the final velocities using the easier/shortcut approach. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/angular-motion-variables?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/linear-momentum/elastic-and-inelastic-collisions/v/deriving-the-shortcut-to-solve-elastic-collision-problems?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mechanical advantage (part 3) | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/vSsK7Rfa3yA/default.jpg URL=http://www.youtube.com/watch?v=vSsK7Rfa3yA description=Introduction to pulleys and wedges. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/mechanical-advantage/v/mechanical-advantage-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/mechanical-advantage/v/mechanical-advantage-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mechanical advantage (part 2) | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/DiBXxWBrV24/default.jpg URL=http://www.youtube.com/watch?v=DiBXxWBrV24 description=More on mechanical advantage, levers and moments. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/mechanical-advantage/v/mechanical-advantage-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/mechanical-advantage/v/introduction-to-mechanical-advantage?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to mechanical advantage | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/pfzJ-z5Ij48/default.jpg URL=http://www.youtube.com/watch?v=pfzJ-z5Ij48 description=Introduction to simple machines, mechanical advantage and moments. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/mechanical-advantage/v/mechanical-advantage-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/hookes-law/v/vertical-springs-and-energy-conservation?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Work/energy problem with friction | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/YvacYWgygaA/default.jpg URL=http://www.youtube.com/watch?v=YvacYWgygaA description=A conservation of energy problem where all of the energy is not conserved. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/conservative-forces?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/thermal-energy-from-friction?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Conservation of energy | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/kw_4Loo1HR4/default.jpg URL=http://www.youtube.com/watch?v=kw_4Loo1HR4 description=Using the law of conservation of energy to see how potential energy is converted into kinetic energy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/work-and-the-work-energy-principle?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/work-and-energy-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to work and energy | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/2WS1sG9fhOk/default.jpg URL=http://www.youtube.com/watch?v=2WS1sG9fhOk description=Introduction to work and energy. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/work-and-energy-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/centripetal-force-and-gravitation/gravity-newtonian/v/gravitation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Work and energy (part 2) | Work and energy | Physics | Khan Academy thumb=https://i.ytimg.com/vi/3mier94pbnU/default.jpg URL=http://www.youtube.com/watch?v=3mier94pbnU description=More on work. Introduction to Kinetic and Potential Energies. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/conservation-of-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/v/introduction-to-work-and-energy?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2-dimensional momentum problem (part 2) | Physics | Khan Academy thumb=https://i.ytimg.com/vi/leudxqivIJI/default.jpg URL=http://www.youtube.com/watch?v=leudxqivIJI description=We finish the 2-dimensional momentum problem. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/force-vs-time-graphs?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/2-dimensional-momentum-problem?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=2-dimensional momentum problem | Impacts and linear momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/CFygKiTB-4A/default.jpg URL=http://www.youtube.com/watch?v=CFygKiTB-4A description=An example of conservation of momentum in two dimensions. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/2-dimensional-momentum-problem-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/momentum-ice-skater-throws-a-ball?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Momentum: Ice skater throws a ball | Impacts and linear momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/vPkkCOlGND4/default.jpg URL=http://www.youtube.com/watch?v=vPkkCOlGND4 description=A simple conservation of momentum problem involving an ice skater and a ball. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/2-dimensional-momentum-problem?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/bouncing-fruit-collision-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to momentum | Impacts and linear momentum | Physics | Khan Academy thumb=https://i.ytimg.com/vi/XFhntPxow0U/default.jpg URL=http://www.youtube.com/watch?v=XFhntPxow0U description=What momentum is. A simple problem involving momentum. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/linear-momentum/momentum-tutorial/v/impulse-and-momentum-dodgeball-example?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/work-and-energy/mechanical-advantage/v/mechanical-advantage-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Tension in an accelerating system and pie in the face | Physics | Khan Academy thumb=https://i.ytimg.com/vi/52wxpYnS64U/default.jpg URL=http://www.youtube.com/watch?v=52wxpYnS64U description=The second part to the complicated problem. We figure out the tension in the wire connecting the two masses. Then we figure our how much we need to accelerate a pie for it to safely reach a man's face. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/treating-systems/v/treating-systems-the-hard-way?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/tension-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to tension (part 2) | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/zwDJ1wVr7Is/default.jpg URL=http://www.youtube.com/watch?v=zwDJ1wVr7Is description=A slightly more difficult tension problem. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/tension-in-an-accelerating-system-and-pie-in-the-face?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/introduction-to-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to tension | Forces and Newton's laws of motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/_UrfHFEBIpU/default.jpg URL=http://www.youtube.com/watch?v=_UrfHFEBIpU description=An introduction to tension. Solving for the tension(s) in a set of wires when a weight is hanging from them. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/tension-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/forces-newtons-laws/tension-tutorial/v/super-hot-tension?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Newton's Laws thumb=https://i.ytimg.com/vi/16StQAx83kA/default.jpg URL=http://www.youtube.com/watch?v=16StQAx83kA description=A problem involving a braking train./description type=video name=Newton's Laws Examples (part 2) thumb=https://i.ytimg.com/vi/x5Bz0ManOuc/default.jpg URL=http://www.youtube.com/watch?v=x5Bz0ManOuc description=A couple of more examples involving Newton's Laws/description type=video name=Newton's Laws Problems (part 1) thumb=https://i.ytimg.com/vi/wGKXIq-gdok/default.jpg URL=http://www.youtube.com/watch?v=wGKXIq-gdok description=Examples of exercises using Newton's laws./description type=video name=Newton's Second Law of Motion thumb=https://i.ytimg.com/vi/3FQ58lVtbCg/default.jpg URL=http://www.youtube.com/watch?v=3FQ58lVtbCg description=An introduction to Newton's Second Law of Motion. F=ma/description type=video name=Newton's Third Law of Motion thumb=https://i.ytimg.com/vi/NfuKfbpkIrQ/default.jpg URL=http://www.youtube.com/watch?v=NfuKfbpkIrQ description=Intuition behind Newton's Third Law of Motion/description type=video name=Newton's First Law of Motion thumb=https://i.ytimg.com/vi/D9y0RlF_DqA/default.jpg URL=http://www.youtube.com/watch?v=D9y0RlF_DqA description=Introduction to newton's first law of motion. Inertial frames of reference./description type=video name=Ferris Wheel Trig Problem (part 2) thumb=https://i.ytimg.com/vi/_Kw4hLGMkm4/default.jpg URL=http://www.youtube.com/watch?v=_Kw4hLGMkm4 description=Part 2 of the ferris wheel problems. Graph of h(t)=9-8cos(18t)/description type=video name=Ferris Wheel Trig Problem thumb=https://i.ytimg.com/vi/clXSqjs1wgQ/default.jpg URL=http://www.youtube.com/watch?v=clXSqjs1wgQ description=Trigonometry problems dealing with the height of two people on a ferris wheen/description type=video name=Navigation Word Problem thumb=https://i.ytimg.com/vi/XTWZ_M8d-4g/default.jpg URL=http://www.youtube.com/watch?v=XTWZ_M8d-4g description=Trigonometry problem involving two ships colliding./description type=video name=Proof: Law of sines | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/APNkWrD-U1k/default.jpg URL=http://www.youtube.com/watch?v=APNkWrD-U1k description=A simple proof of the Law of Sines Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/non-right-triangle-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trigonometry-identity-review-fun?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-cosines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=SAT Prep: Test 8 Section 8 Part 2 thumb=https://i.ytimg.com/vi/nwW5IMuRCaM/default.jpg URL=http://www.youtube.com/watch?v=nwW5IMuRCaM description=Problems 8-13 starting on page 869/description type=video name=SAT Prep: Test 8 Section 8 Part 1 thumb=https://i.ytimg.com/vi/q2TqEsD1t4U/default.jpg URL=http://www.youtube.com/watch?v=q2TqEsD1t4U description=Problems 1-7 starting on page 867/description type=video name=SAT Prep: Test 8 Section 8 Part 3 thumb=https://i.ytimg.com/vi/Ghy5jasP6Ek/default.jpg URL=http://www.youtube.com/watch?v=Ghy5jasP6Ek description=Problems 14-16 starting on page 870/description type=video name=SAT Prep: Test 8 Section 5 Part 1 thumb=https://i.ytimg.com/vi/yKiU7kzjTQw/default.jpg URL=http://www.youtube.com/watch?v=yKiU7kzjTQw description=Problems 1-6 starting on page 855/description type=video name=SAT Prep: Test 8 Section 5 Part 2 thumb=https://i.ytimg.com/vi/4-JYxNfqp8g/default.jpg URL=http://www.youtube.com/watch?v=4-JYxNfqp8g description=Problems 7-11 starting on page 857/description type=video name=SAT Prep: Test 8 Section 5 Part 3 thumb=https://i.ytimg.com/vi/lPLm4pM4KXU/default.jpg URL=http://www.youtube.com/watch?v=lPLm4pM4KXU description=Problems 12-15 starting on page 858/description type=video name=SAT Prep: Test 8 Section 5 Part 4 thumb=https://i.ytimg.com/vi/Q5z0MSvTtRg/default.jpg URL=http://www.youtube.com/watch?v=Q5z0MSvTtRg description=Problems 16-20 starting on page 859/description type=video name=SAT Prep: Test 8 Section 2 Part 1 thumb=https://i.ytimg.com/vi/FyoZaqF2dsY/default.jpg URL=http://www.youtube.com/watch?v=FyoZaqF2dsY description=Problems 1-4 starting on page 1/description type=video name=SAT Prep: Test 8 Section 2 Part 2 thumb=https://i.ytimg.com/vi/lumGHA9JGNY/default.jpg URL=http://www.youtube.com/watch?v=lumGHA9JGNY description=Problems 5-8 starting on page 839/description type=video name=SAT Prep: Test 8 Section 2 Part 3 thumb=https://i.ytimg.com/vi/hbsWxarO5d4/default.jpg URL=http://www.youtube.com/watch?v=hbsWxarO5d4 description=Problems 9-14 starting on page 841/description type=video name=SAT Prep: Test 8 Section 2 Part 4 thumb=https://i.ytimg.com/vi/423zK3ev1vM/default.jpg URL=http://www.youtube.com/watch?v=423zK3ev1vM description=Problems 15-18 on page 843/description type=video name=SAT Prep: Test 7 Section 8 Part 1 thumb=https://i.ytimg.com/vi/GZOp27tWARg/default.jpg URL=http://www.youtube.com/watch?v=GZOp27tWARg description=Problems 1-6 starting on page 803/description type=video name=SAT Prep: Test 7 Section 8 Part 4 thumb=https://i.ytimg.com/vi/RHfnCQCqohk/default.jpg URL=http://www.youtube.com/watch?v=RHfnCQCqohk description=Problems 14-16 on page 807/description type=video name=SAT Prep: Test 7 Section 8 Part 2 thumb=https://i.ytimg.com/vi/Z7fM5fu7LAs/default.jpg URL=http://www.youtube.com/watch?v=Z7fM5fu7LAs description=Problems 7-9 on page 805/description type=video name=SAT Prep: Test 7 Section 8 Part 3 thumb=https://i.ytimg.com/vi/Fq1BirUwrLQ/default.jpg URL=http://www.youtube.com/watch?v=Fq1BirUwrLQ description=Problems 10-13 on page 806/description type=video name=SAT Prep: Test 7 Section 5 Part 2 thumb=https://i.ytimg.com/vi/va9qsz7Q6b0/default.jpg URL=http://www.youtube.com/watch?v=va9qsz7Q6b0 description=Problems 7-12 starting on page 793/description type=video name=SAT Prep: Test 7 Section 5 Part 1 thumb=https://i.ytimg.com/vi/R6byhBey7eY/default.jpg URL=http://www.youtube.com/watch?v=R6byhBey7eY description=Problems 1-6 starting on page 791/description type=video name=SAT Prep: Test 7 Section 5 Part 3 thumb=https://i.ytimg.com/vi/RpCkWhPqTQM/default.jpg URL=http://www.youtube.com/watch?v=RpCkWhPqTQM description=Problems 13-16 starting on page 794/description type=video name=SAT Prep: Test 7 Section 5 Part 4 thumb=https://i.ytimg.com/vi/U2FLQYvioeY/default.jpg URL=http://www.youtube.com/watch?v=U2FLQYvioeY description=Problems 17-20 starting on page 795/description type=video name=SAT Prep: Test 7 Section 5 Part 5 thumb=https://i.ytimg.com/vi/A-qer1ChzXk/default.jpg URL=http://www.youtube.com/watch?v=A-qer1ChzXk description=The rest of problem 20 on page 796/description type=video name=SAT Prep: Test 7 Section 2 Part 1 thumb=https://i.ytimg.com/vi/k3Wd-9bZCgw/default.jpg URL=http://www.youtube.com/watch?v=k3Wd-9bZCgw description=Problems 1-7 starting on page 774/description type=video name=SAT Prep: Test 7 Section 2 Part 2 thumb=https://i.ytimg.com/vi/FhUj7sF00VM/default.jpg URL=http://www.youtube.com/watch?v=FhUj7sF00VM description=Problems 7-12 starting on page 776/description type=video name=SAT Prep: Test 7 Section 2 Part 3 thumb=https://i.ytimg.com/vi/lb3TmicdsCU/default.jpg URL=http://www.youtube.com/watch?v=lb3TmicdsCU description=Problems 13-16 on starting on page 778/description type=video name=SAT Prep: Test 7 Section 2 Part 4 thumb=https://i.ytimg.com/vi/UDyFevRLKb8/default.jpg URL=http://www.youtube.com/watch?v=UDyFevRLKb8 description=Problems 17-18 on page 779/description type=video name=SAT Prep: Test 6 Section 9 Part 1 thumb=https://i.ytimg.com/vi/pplnmRsNDuY/default.jpg URL=http://www.youtube.com/watch?v=pplnmRsNDuY description=Problems 1-6 starting on page 743/description type=video name=SAT Prep: Test 6 Section 9 Part 2 thumb=https://i.ytimg.com/vi/ewzoWPBLG3g/default.jpg URL=http://www.youtube.com/watch?v=ewzoWPBLG3g description=Problems 7-9 starting on page 745/description type=video name=SAT Prep: Test 6 Section 9 Part 3 thumb=https://i.ytimg.com/vi/PMFJCEOWVmc/default.jpg URL=http://www.youtube.com/watch?v=PMFJCEOWVmc description=Problems 11-14 on starting on page 746/description type=video name=SAT Prep: Test 6 Section 9 Part 4 thumb=https://i.ytimg.com/vi/LeNa9s0rdj8/default.jpg URL=http://www.youtube.com/watch?v=LeNa9s0rdj8 description=Problems 15-16 on page 747/description type=video name=SAT Prep: Test 6 Section 7 Part 3 thumb=https://i.ytimg.com/vi/wXQrhgpMI0o/default.jpg URL=http://www.youtube.com/watch?v=wXQrhgpMI0o description=Problems 10-13 starting on page 735/description type=video name=SAT Prep: Test 6 Section 7 Part 2 thumb=https://i.ytimg.com/vi/j9iKQnnAsgI/default.jpg URL=http://www.youtube.com/watch?v=j9iKQnnAsgI description=Problems 6-9 starting on page 734/description type=video name=SAT Prep: Test 6 Section 7 Part 1 thumb=https://i.ytimg.com/vi/dkN6eSd2AIA/default.jpg URL=http://www.youtube.com/watch?v=dkN6eSd2AIA description=Problems 1-5 starting on page 733/description type=video name=SAT Prep: Test 6 Section 7 Part 4 thumb=https://i.ytimg.com/vi/kmP97_diMVM/default.jpg URL=http://www.youtube.com/watch?v=kmP97_diMVM description=Problems 14-17 starting on page 736/description type=video name=SAT Prep: Test 6 Section 7 Part 5 thumb=https://i.ytimg.com/vi/0CIn1_M-BoY/default.jpg URL=http://www.youtube.com/watch?v=0CIn1_M-BoY description=Problems 18-19 on page 738/description type=video name=SAT Prep: Test 6 Section 7 Part 6 thumb=https://i.ytimg.com/vi/aEvm-V7A5s8/default.jpg URL=http://www.youtube.com/watch?v=aEvm-V7A5s8 description=Problem 20 on page 738/description type=video name=SAT Prep: Test 6 Section 3 Part 5 thumb=https://i.ytimg.com/vi/PH92iJRiUgg/default.jpg URL=http://www.youtube.com/watch?v=PH92iJRiUgg description=Problems 16-18 on page 721/description type=video name=SAT Prep: Test 6 Section 3 Part 1 thumb=https://i.ytimg.com/vi/Zee_TGgEBsg/default.jpg URL=http://www.youtube.com/watch?v=Zee_TGgEBsg description=Problems 1-4 starting on page 716/description type=video name=SAT Prep: Test 6 Section 3 Part 3 thumb=https://i.ytimg.com/vi/QPKMZHYBcTc/default.jpg URL=http://www.youtube.com/watch?v=QPKMZHYBcTc description=Problems 7-11 starting on page 718/description type=video name=SAT Prep: Test 6 Section 3 Part 2 thumb=https://i.ytimg.com/vi/gWq0WpgBthI/default.jpg URL=http://www.youtube.com/watch?v=gWq0WpgBthI description=Problems 5- part of 7 starting on page 717/description type=video name=SAT Prep: Test 6 Section 3 Part 4 thumb=https://i.ytimg.com/vi/i1aNc26PsOI/default.jpg URL=http://www.youtube.com/watch?v=i1aNc26PsOI description=Problems 12-15 starting on page 720/description type=video name=SAT Prep: Test 5 Section 9 Part 3 thumb=https://i.ytimg.com/vi/7D3ErvtvOaU/default.jpg URL=http://www.youtube.com/watch?v=7D3ErvtvOaU description=Problems 10-13 starting on page 681/description type=video name=SAT Prep: Test 5 Section 9 Part 1 thumb=https://i.ytimg.com/vi/NLBp-Tq3TS4/default.jpg URL=http://www.youtube.com/watch?v=NLBp-Tq3TS4 description=Problems 1-6 starting on page 679/description type=video name=SAT Prep: Test 5 Section 9 Part 2 thumb=https://i.ytimg.com/vi/VUg5v5PzGKo/default.jpg URL=http://www.youtube.com/watch?v=VUg5v5PzGKo description=Problems 7-9 starting on page 681/description type=video name=SAT Prep: Test 5 Section 9 Part 4 thumb=https://i.ytimg.com/vi/WV6gftyM3SU/default.jpg URL=http://www.youtube.com/watch?v=WV6gftyM3SU description=Problems 14-16 starting on page 683/description type=video name=SAT Prep: Test 5 Section 7 Part 5 thumb=https://i.ytimg.com/vi/KEyCBPe_T5I/default.jpg URL=http://www.youtube.com/watch?v=KEyCBPe_T5I description=Problems 16-18 starting on page 673/description type=video name=SAT Prep: Test 5 Section 7 Part 6 thumb=https://i.ytimg.com/vi/XizVnQI2d9Q/default.jpg URL=http://www.youtube.com/watch?v=XizVnQI2d9Q description=Problems 19-20 on page 674/description type=video name=SAT Prep: Test 5 Section 7 Part 4 thumb=https://i.ytimg.com/vi/1SC8pC5FKtM/default.jpg URL=http://www.youtube.com/watch?v=1SC8pC5FKtM description=Problems 13-15 starting on page 672/description type=video name=SAT Prep: Test 5 Section 7 Part 1 thumb=https://i.ytimg.com/vi/1jwEEbr2fuU/default.jpg URL=http://www.youtube.com/watch?v=1jwEEbr2fuU description=Problems 1-5 starting on page 669/description type=video name=SAT Prep: Test 5 Section 7 Part 3 thumb=https://i.ytimg.com/vi/1zHTzT4KP80/default.jpg URL=http://www.youtube.com/watch?v=1zHTzT4KP80 description=Problems 11-12 on page 672/description type=video name=SAT Prep: Test 5 Section 7 Part 2 thumb=https://i.ytimg.com/vi/26apAl5onO4/default.jpg URL=http://www.youtube.com/watch?v=26apAl5onO4 description=Problems 6-9 starting on page 670/description type=video name=SAT Prep: Test 5 Section 3 Part 1 thumb=https://i.ytimg.com/vi/zKIQYn1quh8/default.jpg URL=http://www.youtube.com/watch?v=zKIQYn1quh8 description=Problems 1-5 starting on page 652/description type=video name=SAT Prep: Test 5 Section 3 Part 6 thumb=https://i.ytimg.com/vi/0mH04VZ_dOM/default.jpg URL=http://www.youtube.com/watch?v=0mH04VZ_dOM description=Problem 18 on page 657/description type=video name=SAT Prep: Test 5 Section 3 Part 2 thumb=https://i.ytimg.com/vi/s_3msatl-NU/default.jpg URL=http://www.youtube.com/watch?v=s_3msatl-NU description=Problems 5-8 starting on page 653/description type=video name=SAT Prep: Test 5 Section 3 Part 5 thumb=https://i.ytimg.com/vi/-c2LcmZaT_o/default.jpg URL=http://www.youtube.com/watch?v=-c2LcmZaT_o description=Problems 15-17 on page 657/description type=video name=SAT Prep: Test 5 Section 3 Part 3 thumb=https://i.ytimg.com/vi/bOKhHf58978/default.jpg URL=http://www.youtube.com/watch?v=bOKhHf58978 description=More on problem 8 on page 654 and 9-11./description type=video name=SAT Prep: Test 5 Section 3 Part 4 thumb=https://i.ytimg.com/vi/8Jwy6seAdHY/default.jpg URL=http://www.youtube.com/watch?v=8Jwy6seAdHY description=Problems 12-14 starting on page 656/description type=video name=SAT Prep: Test 4 Section 8 Part 1 thumb=https://i.ytimg.com/vi/Zkeq0j9CKcc/default.jpg URL=http://www.youtube.com/watch?v=Zkeq0j9CKcc description=Problems 1-7 starting on page 611/description type=video name=SAT Prep: Test 4 Section 8 Part 2 thumb=https://i.ytimg.com/vi/Oyiz3Td1KEI/default.jpg URL=http://www.youtube.com/watch?v=Oyiz3Td1KEI description=Problems 8-12 starting on page 613/description type=video name=SAT Prep: Test 4 Section 8 Part 3 thumb=https://i.ytimg.com/vi/cVEXO42UKd0/default.jpg URL=http://www.youtube.com/watch?v=cVEXO42UKd0 description=Problems 12-15 starting on page 614/description type=video name=SAT Prep: Test 4 Section 8 Part 4 thumb=https://i.ytimg.com/vi/We1OgfMotaM/default.jpg URL=http://www.youtube.com/watch?v=We1OgfMotaM description=Problem 16 on page 615/description type=video name=SAT Prep: Test 4 Section 4 Part 2 thumb=https://i.ytimg.com/vi/Nr-EB7BKKJM/default.jpg URL=http://www.youtube.com/watch?v=Nr-EB7BKKJM description=Problems 7-11 starting on page 596/description type=video name=SAT Prep: Test 4 Section 4 Part 1 thumb=https://i.ytimg.com/vi/xfEZKZDiXqc/default.jpg URL=http://www.youtube.com/watch?v=xfEZKZDiXqc description=Problems 1-6 starting on page 594/description type=video name=SAT Prep: Test 4 Section 4 Part 3 thumb=https://i.ytimg.com/vi/eRzobkVm1Jg/default.jpg URL=http://www.youtube.com/watch?v=eRzobkVm1Jg description=Problems 12-16 starting on page 598/description type=video name=SAT Prep: Test 4 Section 4 Part 4 thumb=https://i.ytimg.com/vi/0mMr7iKWAjQ/default.jpg URL=http://www.youtube.com/watch?v=0mMr7iKWAjQ description=Problems 17-18 on page 599/description type=video name=SAT Prep: Test 4 Section 2 Part 6 thumb=https://i.ytimg.com/vi/bKzw0C-Sh7A/default.jpg URL=http://www.youtube.com/watch?v=bKzw0C-Sh7A description=Problems 19-20 on page 587/description type=video name=SAT Prep: Test 4 Section 2 Part 1 thumb=https://i.ytimg.com/vi/yMc71el5Bic/default.jpg URL=http://www.youtube.com/watch?v=yMc71el5Bic description=Problems 1-6 starting on page 582/description type=video name=SAT Prep: Test 4 Section 2 Part 2 thumb=https://i.ytimg.com/vi/jKg5oFQXdJU/default.jpg URL=http://www.youtube.com/watch?v=jKg5oFQXdJU description=Problems 7-10 starting on page 583/description type=video name=SAT Prep: Test 4 Section 2 Part 3 thumb=https://i.ytimg.com/vi/qo2Omdf4UyA/default.jpg URL=http://www.youtube.com/watch?v=qo2Omdf4UyA description=Problems 11-14 starting on page 584/description type=video name=SAT Prep: Test 4 Section 2 Part 4 thumb=https://i.ytimg.com/vi/KWBa0yxfi7U/default.jpg URL=http://www.youtube.com/watch?v=KWBa0yxfi7U description=Problems 15-16 on page 585/description type=video name=SAT Prep: Test 4 Section 2 Part 5 thumb=https://i.ytimg.com/vi/HIzG0J7He2c/default.jpg URL=http://www.youtube.com/watch?v=HIzG0J7He2c description=Problems 17-18 on page 586/description type=video name=SAT Prep: Test 3 Section 8 Part 3 thumb=https://i.ytimg.com/vi/5yysruBGqEM/default.jpg URL=http://www.youtube.com/watch?v=5yysruBGqEM description=Problems 10-14 starting on page 549/description type=video name=SAT Prep: Test 3 Section 8 Part 1 thumb=https://i.ytimg.com/vi/7FRFzf-MLnw/default.jpg URL=http://www.youtube.com/watch?v=7FRFzf-MLnw description=Problems 1-6 starting on page 547/description type=video name=SAT Prep: Test 3 Section 8 Part 2 thumb=https://i.ytimg.com/vi/YFV6QFVxxPc/default.jpg URL=http://www.youtube.com/watch?v=YFV6QFVxxPc description=Problems 7-9 page 549/description type=video name=SAT Prep: Test 3 Section 8 Part 4 thumb=https://i.ytimg.com/vi/eUi6VS3qc9A/default.jpg URL=http://www.youtube.com/watch?v=eUi6VS3qc9A description=Problems 15-16 on page 551/description type=video name=SAT Prep: Test 3 Section 4 Part 1 thumb=https://i.ytimg.com/vi/eS-XNHsh4TQ/default.jpg URL=http://www.youtube.com/watch?v=eS-XNHsh4TQ description=Problems 1-5 starting on page 530/description type=video name=SAT Prep: Test 3 Section 4 Part 2 thumb=https://i.ytimg.com/vi/7rt8X3bIhf4/default.jpg URL=http://www.youtube.com/watch?v=7rt8X3bIhf4 description=Problems 5-9 starting on page 531/description type=video name=SAT Prep: Test 3 Section 4 Part 3 thumb=https://i.ytimg.com/vi/eZuR5-Jng0o/default.jpg URL=http://www.youtube.com/watch?v=eZuR5-Jng0o description=Problems 10-13 starting on page 533/description type=video name=SAT Prep: Test 3 Section 4 Part 4 thumb=https://i.ytimg.com/vi/-rH2wMlppjo/default.jpg URL=http://www.youtube.com/watch?v=-rH2wMlppjo description=Problems 14-17 and part of 18 starting on page 534./description type=video name=SAT Prep: Test 3 Section 4 Part 5 thumb=https://i.ytimg.com/vi/z01WJ-HgoCY/default.jpg URL=http://www.youtube.com/watch?v=z01WJ-HgoCY description=The leftover of problem 18 on page 535/description type=video name=SAT Prep: Test 3 Section 2 Part 2 thumb=https://i.ytimg.com/vi/YsKgw5S7Plg/default.jpg URL=http://www.youtube.com/watch?v=YsKgw5S7Plg description=Problems 6-10 starting on page 519/description type=video name=SAT Prep: Test 3 Section 2 Part 1 thumb=https://i.ytimg.com/vi/pCpLtKdMjSE/default.jpg URL=http://www.youtube.com/watch?v=pCpLtKdMjSE description=Problems 1-5 starting on page 518/description type=video name=SAT Prep: Test 3 Section 2 Part 3 thumb=https://i.ytimg.com/vi/fRRc-3sJuwU/default.jpg URL=http://www.youtube.com/watch?v=fRRc-3sJuwU description=Problems 11-14 on page 521/description type=video name=SAT Prep: Test 3 Section 2 Part 4 thumb=https://i.ytimg.com/vi/79ZwFMRWidQ/default.jpg URL=http://www.youtube.com/watch?v=79ZwFMRWidQ description=Problems 15-17 on page 522/description type=video name=Test 3 Section 2 Part 5 thumb=https://i.ytimg.com/vi/Eh0j5nHhS6I/default.jpg URL=http://www.youtube.com/watch?v=Eh0j5nHhS6I description=Problems 18-20 on starting on page 522/description type=video name=SAT Prep: Test 2 Section 9 Part 3 thumb=https://i.ytimg.com/vi/n30T7Uc6IOg/default.jpg URL=http://www.youtube.com/watch?v=n30T7Uc6IOg description=Problems 10-12 starting on page 489/description type=video name=SAT Prep: Test 2 Section 9 Part 2 thumb=https://i.ytimg.com/vi/nognGA0mtcU/default.jpg URL=http://www.youtube.com/watch?v=nognGA0mtcU description=Problems 6-9 starting on page 488/description type=video name=SAT Prep: Test 2 Section 9 Part 1 thumb=https://i.ytimg.com/vi/oVkzin26KJk/default.jpg URL=http://www.youtube.com/watch?v=oVkzin26KJk description=Problems 1-5 starting on page 487/description type=video name=SAT Prep: Test 2 Section 9 Part 4 thumb=https://i.ytimg.com/vi/u1FZjRUC9MY/default.jpg URL=http://www.youtube.com/watch?v=u1FZjRUC9MY description=Problems 13-16 on page 491/description type=video name=SAT Prep: Test 2 Section 6 Part 2 thumb=https://i.ytimg.com/vi/MuhPEK5_kog/default.jpg URL=http://www.youtube.com/watch?v=MuhPEK5_kog description=Problems 6-9 starting on page 472/description type=video name=SAT Prep: Test 2 Section 6 Part 1 thumb=https://i.ytimg.com/vi/4mUAiRKIhj0/default.jpg URL=http://www.youtube.com/watch?v=4mUAiRKIhj0 description=Problems 1-6 on starting on page 471/description type=video name=SAT Prep: Test 2 Section 6 Part 3 thumb=https://i.ytimg.com/vi/JqzTKxFpzco/default.jpg URL=http://www.youtube.com/watch?v=JqzTKxFpzco description=Problems 10-14 starting on page 474 (but I get the wrong answer for 14 because of a sal malfunction)/description type=video name=SAT Prep: Test 2 Section 6 Part 4 thumb=https://i.ytimg.com/vi/uH5qmnegzcY/default.jpg URL=http://www.youtube.com/watch?v=uH5qmnegzcY description=A redo of problem 14 on page 475 because I can't do arithmetic/description type=video name=SAT Prep: Test 2 Section 6 Part 5 thumb=https://i.ytimg.com/vi/f4drCCsnOt8/default.jpg URL=http://www.youtube.com/watch?v=f4drCCsnOt8 description=Problems 15-16 on page 475/description type=video name=SAT Prep: Test 2 Section 6 Part 6 thumb=https://i.ytimg.com/vi/EDEg7SY2-VU/default.jpg URL=http://www.youtube.com/watch?v=EDEg7SY2-VU description=Problems 17-18 on page 476/description type=video name=SAT Prep: Test 2 Section 3 Part 6 thumb=https://i.ytimg.com/vi/FEEsj1puK9k/default.jpg URL=http://www.youtube.com/watch?v=FEEsj1puK9k description=Problem 20 on page 464/description type=video name=SAT Prep: Test 2 Section 3 Part 5 thumb=https://i.ytimg.com/vi/oRWMtRqR6yc/default.jpg URL=http://www.youtube.com/watch?v=oRWMtRqR6yc description=Problems 17-19 starting on page 463/description type=video name=SAT Prep: Test 2 Section 3 Part 4 thumb=https://i.ytimg.com/vi/t9_by0bbp48/default.jpg URL=http://www.youtube.com/watch?v=t9_by0bbp48 description=Problems 13-16 starting on page 462/description type=video name=SAT Prep: Test 1 Section 6 Part 2 thumb=https://i.ytimg.com/vi/EWsVUf6ZFgw/default.jpg URL=http://www.youtube.com/watch?v=EWsVUf6ZFgw description=Problems 5-6 starting on page 408/description type=video name=SAT Prep: Test 2 Section 3 Part 3 thumb=https://i.ytimg.com/vi/x7RYmTE3X-Y/default.jpg URL=http://www.youtube.com/watch?v=x7RYmTE3X-Y description=Questions 9-12 starting on page 461/description type=video name=SAT Prep: Test 2 Section 3 part 1 thumb=https://i.ytimg.com/vi/0QvGgONYDeA/default.jpg URL=http://www.youtube.com/watch?v=0QvGgONYDeA description=Problems 1-4 starting on page 459/description type=video name=SAT Prep: Test 2 Section 3 Part 2 thumb=https://i.ytimg.com/vi/jG_R8MyQ53U/default.jpg URL=http://www.youtube.com/watch?v=jG_R8MyQ53U description=Problems 5-8 starting on page 460/description type=video name=Functions (part 4) thumb=https://i.ytimg.com/vi/rbt51hXmzig/default.jpg URL=http://www.youtube.com/watch?v=rbt51hXmzig description=An example of a functions problem submitted by a youtube viewer More free lessons at: http://www.khanacademy.org/video?v=rbt51hXmzig/description type=video name=SAT Prep: Test 1 Section 9 Part 5 thumb=https://i.ytimg.com/vi/QWtZ9jpN_3k/default.jpg URL=http://www.youtube.com/watch?v=QWtZ9jpN_3k description=Problems 15-16 on page 427/description type=video name=SAT Prep: Test 1 Section 9 Part 1 thumb=https://i.ytimg.com/vi/MFAuLptYXFE/default.jpg URL=http://www.youtube.com/watch?v=MFAuLptYXFE description=Problems 1-4 starting on page 423/description type=video name=SAT Prep: Test 1 Section 9 Part 3 thumb=https://i.ytimg.com/vi/D4UfrKzUVz8/default.jpg URL=http://www.youtube.com/watch?v=D4UfrKzUVz8 description=Questions 9-11 starting on page 425/description type=video name=SAT Prep: Test 1 Section 9 Part 2 thumb=https://i.ytimg.com/vi/fX0ZVflYqf0/default.jpg URL=http://www.youtube.com/watch?v=fX0ZVflYqf0 description=Problems 5-8 starting on page 424/description type=video name=SAT Prep: Test 1 Section 9 Part 4 thumb=https://i.ytimg.com/vi/5tptL-SjfHY/default.jpg URL=http://www.youtube.com/watch?v=5tptL-SjfHY description=Problems 12-14 on page 426/description type=video name=SAT Prep: Test 1 Section 6 Part 1 thumb=https://i.ytimg.com/vi/VUY_9-dl9Ro/default.jpg URL=http://www.youtube.com/watch?v=VUY_9-dl9Ro description=Problems 1-4 starting on page 407/description type=video name=SAT Prep: Test 1 Section 6 Part 4 thumb=https://i.ytimg.com/vi/j-G31l9tETk/default.jpg URL=http://www.youtube.com/watch?v=j-G31l9tETk description=Problems 11-14 on page 411/description type=video name=SAT Prep: Test 1 Section 6 Part 3 thumb=https://i.ytimg.com/vi/qCFS9sM3U4w/default.jpg URL=http://www.youtube.com/watch?v=qCFS9sM3U4w description=Problems 6-10 starting on page 409/description type=video name=SAT Prep: Test 1 Section 6 Part 5 thumb=https://i.ytimg.com/vi/zYltrrFpuRU/default.jpg URL=http://www.youtube.com/watch?v=zYltrrFpuRU description=Problems 15-17 on page 412/description type=video name=SAT Prep: Test 1 Section 6 Part 6 thumb=https://i.ytimg.com/vi/-UtUjx4nj-E/default.jpg URL=http://www.youtube.com/watch?v=-UtUjx4nj-E description=A little more on problem 17 and problem 18 on page 412./description type=video name=SAT Prep: Test 1 Section 3 Part 7 thumb=https://i.ytimg.com/vi/r_MPl6c23cc/default.jpg URL=http://www.youtube.com/watch?v=r_MPl6c23cc description=Problems 17-18 starting on page 399/description type=video name=SAT Prep: Test 1 Section 3 Part 6 thumb=https://i.ytimg.com/vi/I1CPivr1Rqs/default.jpg URL=http://www.youtube.com/watch?v=I1CPivr1Rqs description=Problems 15-16 starting on page 399/description type=video name=SAT Prep: Test 1 Section 3 Part 8 thumb=https://i.ytimg.com/vi/281GDzKgNIw/default.jpg URL=http://www.youtube.com/watch?v=281GDzKgNIw description=Problems 19-20 starting on page 400/description type=video name=SAT Prep: Test 1 Section 3 Part 5 thumb=https://i.ytimg.com/vi/Pj-dYWwdlDA/default.jpg URL=http://www.youtube.com/watch?v=Pj-dYWwdlDA description=Problems 13-14 starting on page 398/description type=video name=SAT Prep: Test 1 Section 3 Part 4 thumb=https://i.ytimg.com/vi/THu1yyU350A/default.jpg URL=http://www.youtube.com/watch?v=THu1yyU350A description=Problems 11-12 starting on page 398/description type=video name=SAT Prep: Test 1 Section 3 Part 3 thumb=https://i.ytimg.com/vi/BRX5mWU0pKo/default.jpg URL=http://www.youtube.com/watch?v=BRX5mWU0pKo description=Problems 7-10 starting on page 397/description type=video name=SAT Prep: Test 1 Section 3 Part 2 thumb=https://i.ytimg.com/vi/uFfMl-wGOqA/default.jpg URL=http://www.youtube.com/watch?v=uFfMl-wGOqA description=Problems 4-7 starting on page 396/description type=video name=SAT prep: test 1 section3 part 1 thumb=https://i.ytimg.com/vi/tP9bocr_C2I/default.jpg URL=http://www.youtube.com/watch?v=tP9bocr_C2I description=Problems 1-3 starting on page 395 of College Board Official SAT Study Guide/description type=video name=Introduction to logarithm properties (part 2) | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/TMmxKZaCqe0/default.jpg URL=http://www.youtube.com/watch?v=TMmxKZaCqe0 description=Second part of the introduction to logarithm properties. Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/logarithm-of-a-power?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/introduction-to-logarithm-properties?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to logarithm properties | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/PupNgv49_WY/default.jpg URL=http://www.youtube.com/watch?v=PupNgv49_WY description=Introduction to the first two logarithm properties. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/logarithms_2?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/introduction-to-logarithm-properties-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_basics/v/graphing-logarithmic-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: log_a (B) = (log_x (B))/(log_x (A)) thumb=https://i.ytimg.com/vi/cKOtT4WnZb4/default.jpg URL=http://www.youtube.com/watch?v=cKOtT4WnZb4 description=Proof of the logarithm property log_a (B) = (log_x (B))/(log_x (A))/description type=video name=Proof: a log b = log(b^a), log a - log b = log(a/b) | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/yEAxG_D1HDw/default.jpg URL=http://www.youtube.com/watch?v=yEAxG_D1HDw description=Proofs of the logarithm properties: A(log B) = log (B^A) and log A - log B = log (A/B) Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/change-of-base-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/proof-log-a-log-b-log-ab?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: log a + log b = log ab | Logarithms | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/FP2arCfAfBY/default.jpg URL=http://www.youtube.com/watch?v=FP2arCfAfBY description=Proof of the logarithm property: log a + log b = log ab Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/proof-a-log-b-log-b-a-log-a-log-b-log-a-b?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/change-of-base-formula?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Similar triangles | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/BI-rtfZVXy0/default.jpg URL=http://www.youtube.com/watch?v=BI-rtfZVXy0 description=Introduction to similar triangles Watch the next lesson: https://www.khanacademy.org/math/geometry/similarity/old_school_similarity/v/similar-triangles-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/cc-solving-prob-similar-tri/v/challenging-similarity-problem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Similar triangles (part 2) | Similarity | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/qO2cTx6DwCA/default.jpg URL=http://www.youtube.com/watch?v=qO2cTx6DwCA description=More on similar triangles Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/similarity/old_school_similarity/v/similar-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angle game (part 2) | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/ko-cYG3d6ec/default.jpg URL=http://www.youtube.com/watch?v=ko-cYG3d6ec description=More examples of the Angle Game. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/acute-right-and-obtuse-angles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/the-angle-game?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The angle game | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/kqU_ymV581c/default.jpg URL=http://www.youtube.com/watch?v=kqU_ymV581c description=Using what we know to solve for angles in the Angle Game. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angle-game-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-of-parallel-lines-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angles (part 3) | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/NLg6hfoKKlE/default.jpg URL=http://www.youtube.com/watch?v=NLg6hfoKKlE description=Angles formed when a transversal intersects parallel lines. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-formed-between-transversals-and-parallel-lines?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angles (part 2) | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/zrqzG6xKa1A/default.jpg URL=http://www.youtube.com/watch?v=zrqzG6xKa1A description=More on complementary and supplementary angles. Introduction to opposite angles. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/introduction-to-angles-old?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to angles (old) | Angles and intersecting lines | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/2439OIVBgPg/default.jpg URL=http://www.youtube.com/watch?v=2439OIVBgPg description=What an angle is. Angles in a circle. Complementary and supplementary angles. Watch the next lesson: https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/old_angles/v/angles-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/triang_prop_tut/v/sum-of-the-exterior-angles-of-convex-polygon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Angles of parallel lines thumb=https://i.ytimg.com/vi/Ij8AotZHfzU/default.jpg URL=http://www.youtube.com/watch?v=Ij8AotZHfzU description=The angles formed between parallel lines and a transversal./description type=video name=2-dimensional projectile motion part 5 thumb=https://i.ytimg.com/vi/8PXJ3hHPxlo/default.jpg URL=http://www.youtube.com/watch?v=8PXJ3hHPxlo description=The second part of the last projectile motion problem/description type=video name=2 dimensional projectile motion part 4 thumb=https://i.ytimg.com/vi/5GRlLD7M430/default.jpg URL=http://www.youtube.com/watch?v=5GRlLD7M430 description=Another example of a 2-dimensional projectile motion problem/description type=video name=Proof of the law of cosines | Trig identities and examples | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/pGaDcOMdw48/default.jpg URL=http://www.youtube.com/watch?v=pGaDcOMdw48 description=Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/e/non-right-triangle-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/proof-law-of-sines?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/law-sines-cosines/v/law-of-sines-example?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trigonometry word problems (part 2) thumb=https://i.ytimg.com/vi/4CNnPgabrLE/default.jpg URL=http://www.youtube.com/watch?v=4CNnPgabrLE description=The second part of the problem of the off-track ship captain/description type=video name=Trigonometry word problems (part 1) thumb=https://i.ytimg.com/vi/1vamogV81Y8/default.jpg URL=http://www.youtube.com/watch?v=1vamogV81Y8 description=The first part of a problem when the captain of a ship goes off track./description type=video name=2-dimensional projectile motion (part 3) thumb=https://i.ytimg.com/vi/o2ZrX9MbIwU/default.jpg URL=http://www.youtube.com/watch?v=o2ZrX9MbIwU description=Completing our first example from parts 1 and 2/description type=video name=2 dimensional projectile motion (part 2) thumb=https://i.ytimg.com/vi/cEOxZWGp-8E/default.jpg URL=http://www.youtube.com/watch?v=cEOxZWGp-8E description=More on 2 dimensional projectile motion/description type=video name=2 dimensional projectile motion (part 1) thumb=https://i.ytimg.com/vi/RcSadoSQhdA/default.jpg URL=http://www.youtube.com/watch?v=RcSadoSQhdA description=Using vectors to solve 2 dimensional projectile motion problems/description type=video name=Projectile motion (part 10) thumb=https://i.ytimg.com/vi/zbZyiyzMUQ8/default.jpg URL=http://www.youtube.com/watch?v=zbZyiyzMUQ8 description=Some more examples with projectile motion/description type=video name=Projectile motion (part 9) thumb=https://i.ytimg.com/vi/uHwKV2NzDno/default.jpg URL=http://www.youtube.com/watch?v=uHwKV2NzDno description=Another example of projectile motion./description type=video name=Projectile motion (part 6) thumb=https://i.ytimg.com/vi/bl2DvFn8LjM/default.jpg URL=http://www.youtube.com/watch?v=bl2DvFn8LjM description=More on the ball throwing game/description type=video name=Projectile motion (part 8) thumb=https://i.ytimg.com/vi/oDcPHWX2Nv0/default.jpg URL=http://www.youtube.com/watch?v=oDcPHWX2Nv0 description=A little leftover from part 7/description type=video name=Projectile motion (part 7) thumb=https://i.ytimg.com/vi/-uAfg0t6NmM/default.jpg URL=http://www.youtube.com/watch?v=-uAfg0t6NmM description=How high did the ball go?/description type=video name=Projectile motion (part 5) | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/dlpmllTx5MY/default.jpg URL=http://www.youtube.com/watch?v=dlpmllTx5MY description=How fast was the ball that you threw upwards? Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/two-dimensional-motion/two-dimensional-projectile-mot/v/visualizing-vectors-in-2-dimensions?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile motion (part 4) | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/-W3RkgvLrGI/default.jpg URL=http://www.youtube.com/watch?v=-W3RkgvLrGI description=Solving for time when you are given the change in distance, acceleration, and initial velocity. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile motion (part 3) | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/Y5cSGxdDHz4/default.jpg URL=http://www.youtube.com/watch?v=Y5cSGxdDHz4 description=An example of solving for the final velocity when you know the change in distance, time, initial velocity, and acceleration. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile motion (part 2) | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/emdHj6WodLw/default.jpg URL=http://www.youtube.com/watch?v=emdHj6WodLw description=A derivation of a new motion equation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-3?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Projectile motion (part 1) | One-dimensional motion | Physics | Khan Academy thumb=https://i.ytimg.com/vi/15zliAL4llE/default.jpg URL=http://www.youtube.com/watch?v=15zliAL4llE description=Using the equations of motion to figure out things about falling objects. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/one-dimensional-motion/old-projectile-motion/v/projectile-motion-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/v/viewing-g-as-the-value-of-earth-s-gravitational-field-near-the-surface?utm_source=YT&utm_medium=Desc&utm_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Physics channel: https://www.youtube.com/channel/UC0oGarQW2lE5PxhGoQAKV7Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to motion (part 3) thumb=https://i.ytimg.com/vi/enmHaVxLfAE/default.jpg URL=http://www.youtube.com/watch?v=enmHaVxLfAE description=Using the basic equations of distance and velocity to solve motion problems/description type=video name=Introduction to motion (part 2) thumb=https://i.ytimg.com/vi/OKXyKt40WFE/default.jpg URL=http://www.youtube.com/watch?v=OKXyKt40WFE description=More on how velocity, distance, acceleration and time relate to each other./description type=video name=Introduction to motion thumb=https://i.ytimg.com/vi/8wZugqi_uCg/default.jpg URL=http://www.youtube.com/watch?v=8wZugqi_uCg description=Introduction to basic physics of motion. Introduces the concept of variable velocity/acceleration./description type=video name=Trig identities part 3 (part 5 if you watch the proofs) | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/JXCiFbEMTZ4/default.jpg URL=http://www.youtube.com/watch?v=JXCiFbEMTZ4 description=Continuation of the playing around with trig identities Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/more-trig-examples/v/2003-aime-ii-problem-11-avi?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identities-part-2-parr-4-if-you-watch-the-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Trig identities part 2 (part 4 if you watch the proofs) | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/ZWSoyUxAQW0/default.jpg URL=http://www.youtube.com/watch?v=ZWSoyUxAQW0 description=More playing around with trig identities Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trig-identies-part-3-part-5-if-you-watch-the-proofs?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig_iden_tutorial/v/trigonometry-identity-review-fun?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b) thumb=https://i.ytimg.com/vi/V3-xCPDzQ1Q/default.jpg URL=http://www.youtube.com/watch?v=V3-xCPDzQ1Q description=Proof of the trig identity: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)/description type=video name=Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b) thumb=https://i.ytimg.com/vi/zw0waJCEc-w/default.jpg URL=http://www.youtube.com/watch?v=zw0waJCEc-w description=Proof of the trig identity sin(a+b) = (cos a)(sin b) + (sin a)(cos b)/description type=video name=Trigonometric Identities thumb=https://i.ytimg.com/vi/OLzXqIqZZz0/default.jpg URL=http://www.youtube.com/watch?v=OLzXqIqZZz0 description=Introduction to trigonometric identities/description type=video name=Rates-of-change (part 2) thumb=https://i.ytimg.com/vi/xmgk8_l3lig/default.jpg URL=http://www.youtube.com/watch?v=xmgk8_l3lig description=Another (simpler) example of using the chain rule to determine rates-of-change/description type=video name=Introduction to rate-of-change problems thumb=https://i.ytimg.com/vi/Zyq6TmQVBxk/default.jpg URL=http://www.youtube.com/watch?v=Zyq6TmQVBxk description=Using derivatives to solve rate-of-change problems/description type=video name=Definite Integrals (part 4) thumb=https://i.ytimg.com/vi/11Bt6OhIeqA/default.jpg URL=http://www.youtube.com/watch?v=11Bt6OhIeqA description=Examples of using definite integrals to find the area under a curve/description type=video name=Definite Integrals (part 5) thumb=https://i.ytimg.com/vi/CmXmRNFrtFw/default.jpg URL=http://www.youtube.com/watch?v=CmXmRNFrtFw description=More examples of using definite integrals to calculate the area between curves/description type=video name=Indefinite Integration (part V) thumb=https://i.ytimg.com/vi/Pra6r20geXU/default.jpg URL=http://www.youtube.com/watch?v=Pra6r20geXU description=Introduction to Integration by Parts (kind of the reverse-product rule)/description type=video name=Indefinite Integration (part 7) thumb=https://i.ytimg.com/vi/F-OsMq7QKEQ/default.jpg URL=http://www.youtube.com/watch?v=F-OsMq7QKEQ description=Another example using integration by parts./description type=video name=Integration by Parts (part 6 of Indefinite Integration) thumb=https://i.ytimg.com/vi/ouYZiIh8Ctc/default.jpg URL=http://www.youtube.com/watch?v=ouYZiIh8Ctc description=Example using Integration by Parts/description type=video name=Definite Integrals (area under a curve) (part III) thumb=https://i.ytimg.com/vi/7wUHJ7JQ-gs/default.jpg URL=http://www.youtube.com/watch?v=7wUHJ7JQ-gs description=More on why the antiderivative and the area under a curve are essentially the same thing./description type=video name=Definite integrals (part II) thumb=https://i.ytimg.com/vi/6PaFm_Je5A0/default.jpg URL=http://www.youtube.com/watch?v=6PaFm_Je5A0 description=More on why the antiderivative and the area under a curve are essentially the same thing./description type=video name=Introduction to definite integrals thumb=https://i.ytimg.com/vi/0RdI3-8G4Fs/default.jpg URL=http://www.youtube.com/watch?v=0RdI3-8G4Fs description=Using the definite integral to solve for the area under a curve. Intuition on why the antiderivative is the same thing as the area under a curve./description type=video name=Indefinite Integration (part IV) thumb=https://i.ytimg.com/vi/VJ9VRUDQyK8/default.jpg URL=http://www.youtube.com/watch?v=VJ9VRUDQyK8 description=Integration by substitution (or the reverse-chain-rule)/description type=video name=Indefinite Integration (part III) thumb=https://i.ytimg.com/vi/77-najNh4iY/default.jpg URL=http://www.youtube.com/watch?v=77-najNh4iY description=Integration by doing the chain rule in reverse./description type=video name=Indefinite integrals (part II) thumb=https://i.ytimg.com/vi/mHvSYRUEWnE/default.jpg URL=http://www.youtube.com/watch?v=mHvSYRUEWnE description=Examples of taking the indefinite integral (or anti-derivative) of polynomials. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/intro-to-integration?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=The Indefinite Integral or Anti-derivative thumb=https://i.ytimg.com/vi/xRspb-iev-g/default.jpg URL=http://www.youtube.com/watch?v=xRspb-iev-g description=An introduction to indefinite integration of polynomials./description type=video name=Derivatives (part 9) thumb=https://i.ytimg.com/vi/aEP4C_kvcO4/default.jpg URL=http://www.youtube.com/watch?v=aEP4C_kvcO4 description=More examples of taking derivatives/description type=video name=Quotient rule and common derivatives | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/E_1gEtiGPNI/default.jpg URL=http://www.youtube.com/watch?v=E_1gEtiGPNI description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/equation-of-a-tangent-line?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/product-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Product rule | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/h78GdGiRmpM/default.jpg URL=http://www.youtube.com/watch?v=h78GdGiRmpM description=Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/quotient-rule?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/product_rule/v/product-rule-proof?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Even More Chain Rule thumb=https://i.ytimg.com/vi/DYb-AN-lK94/default.jpg URL=http://www.youtube.com/watch?v=DYb-AN-lK94 description=Even more examples using the chain rule./description type=video name=Chain Rule Examples thumb=https://i.ytimg.com/vi/6_lmiPDedsY/default.jpg URL=http://www.youtube.com/watch?v=6_lmiPDedsY description=Examples using the Chain Rule Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/chain_rule_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=The Chain Rule thumb=https://i.ytimg.com/vi/XIQ-KnsAsbg/default.jpg URL=http://www.youtube.com/watch?v=XIQ-KnsAsbg description=Part 4 of derivatives. Introduction to the chain rule. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/chain_rule_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=Power rule introduction (old) | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/z1lwai-lIzY/default.jpg URL=http://www.youtube.com/watch?v=z1lwai-lIzY description=Determining the derivatives of simple polynomials. Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/chain_rule/v/derivatives-of-sin-x-cos-x-tan-x-e-x-and-ln-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/power_rule_tutorial/v/proof-d-dx-sqrt-x?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/ay8838UZ4nM/default.jpg URL=http://www.youtube.com/watch?v=ay8838UZ4nM description=More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2 Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/visualizing-derivatives-tutorial/v/derivative-intuition-module?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Calculus: Derivatives 1 | Taking derivatives | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/rAof9Ld5sOg/default.jpg URL=http://www.youtube.com/watch?v=rAof9Ld5sOg description=Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus. Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus-derivatives-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/formal-and-alternate-form-of-the-derivative-example-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit examples (part 3) | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/gWSDDopD9sk/default.jpg URL=http://www.youtube.com/watch?v=gWSDDopD9sk description=More limit examples Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-w-brain-malfunction-on-first-prob-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit examples (part 1) | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/GGQngIp0YGI/default.jpg URL=http://www.youtube.com/watch?v=GGQngIp0YGI description=Some limit exercises Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/limits-basics-challenge?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/introduction-to-limits?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Limit examples (part 2) | Limits | Differential Calculus | Khan Academy thumb=https://i.ytimg.com/vi/YRw8udexH4o/default.jpg URL=http://www.youtube.com/watch?v=YRw8udexH4o description=More limit examples Watch the next lesson: https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part3?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Missed the previous lesson? https://www.khanacademy.org/math/differential-calculus/limits_topic/old-limits-tutorial/v/limit-examples-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=DifferentialCalculus Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Differential Calculus channel: https://www.youtube.com/channel/UCNLzjGl1HBdZrHXo4Vae3iA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to limits 2 | Limits | Precalculus | Khan Academy thumb=https://i.ytimg.com/vi/W0VWO4asgmk/default.jpg URL=http://www.youtube.com/watch?v=W0VWO4asgmk description=Introduction to the intuition behind limits Watch the next lesson: https://www.khanacademy.org/math/precalculus/limit_topic_precalc/limits_precalc/v/2-sided-limit-from-graph?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Missed the previous lesson? https://www.khanacademy.org/math/precalculus/limit_topic_precalc/limits_precalc/v/introduction-to-limits-hd?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Precalculus channel: https://www.youtube.com/channel/UCBeHztHRWuVvnlwm20u2hNA?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Domain of a function | Functions and their graphs | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/U-k5N1WPk4g/default.jpg URL=http://www.youtube.com/watch?v=U-k5N1WPk4g description=Figuring out the domain of a function Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/e/domain_and_range_0.5?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khanacademy.org/math/algebra2/functions_and_graphs/domain_range/v/domain-and-range-of-a-relation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_expressions/v/modeling-with-combined-functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Collateralized debt obligation (CDO) | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/XjoJ9UF2hqg/default.jpg URL=http://www.youtube.com/watch?v=XjoJ9UF2hqg description=Introduction to collateralized debt obligations (to be listened to after series on mortgage-backed securities. Created by Sal Khan). Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/credit-default-swaps-tut/v/credit-default-swaps-cds-intro?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/cdo-tutorial/v/collateralized-debt-obligation-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: Interest is the basis of modern capital markets. Depending on whether you are lending or borrowing, it can be viewed as a return on an asset (lending) or the cost of capital (borrowing). This tutorial gives an introduction to this fundamental concept, including what it means to compound. It also gives a rule of thumb that might make it easy to do some rough interest calculations in your head. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mortgage-backed securities III | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/q0oSKmC3Mfc/default.jpg URL=http://www.youtube.com/watch?v=q0oSKmC3Mfc description=Part III of the introduction to mortgage-backed securities. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/cdo-tutorial/v/collateralized-debt-obligation-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mortgage-backed securities II | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/eYBlfxGIk28/default.jpg URL=http://www.youtube.com/watch?v=eYBlfxGIk28 description=Part II of the introduction to mortgage-backed securities. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-iii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-i?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mortgage-backed securities I | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/oosYQHq2hwE/default.jpg URL=http://www.youtube.com/watch?v=oosYQHq2hwE description=Part I of the introduction to mortgage-backed securities. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-backed-securities-ii?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/derivative-securities/mort-backed-secs-tut/v/mortgage-back-security-overview?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: In many commodities markets, it is very helpful for buyers or sellers to lock-in future prices. This is what both forwards and futures allow for. This tutorial explains how they work and what the difference is between the two. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Order of operations II thumb=https://i.ytimg.com/vi/_ZD3OCliBuY/default.jpg URL=http://www.youtube.com/watch?v=_ZD3OCliBuY description=More examples for "order of operations"/description type=video name=Order of operations thumb=https://i.ytimg.com/vi/pEz_Wn35098/default.jpg URL=http://www.youtube.com/watch?v=pEz_Wn35098 description=Using the order of operations to evaluate expressions/description type=video name=Return on capital | Finance & Capital Markets | Khan Academy thumb=https://i.ytimg.com/vi/9T6ZPYYu_Dk/default.jpg URL=http://www.youtube.com/watch?v=9T6ZPYYu_Dk description=Introduction to return on capital and cost of capital. Using these concepts to decide where to invest. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/investment-vs-consumption-1?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Missed the previous lesson? Watch here: https://www.khanacademy.org/economics-finance-domain/core-finance/investment-vehicles-tutorial/investment-consumption/v/human-capital?utm_source=YT&utm_medium=Desc&utm_campaign=financeandcapitalmarkets Finance and capital markets on Khan Academy: When are you using capital to create more things (investment) vs. for consumption (we all need to consume a bit to be happy). When you do invest, how do you compare risk to return? Can capital include human abilities? This tutorial hodge-podge covers it all. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Finance and Capital Markets channel: https://www.youtube.com/channel/UCQ1Rt02HirUvBK2D2-ZO_2g?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=The unit circle definition of trigonometric function thumb=https://i.ytimg.com/vi/6Qv_bPlQS8E/default.jpg URL=http://www.youtube.com/watch?v=6Qv_bPlQS8E description=Using the unit circle to extend the SOH CAH TOA definition of the basic trigonometric functions./description type=video name=Determining the equation of a trigonometric function thumb=https://i.ytimg.com/vi/yvW5l9W1hgE/default.jpg URL=http://www.youtube.com/watch?v=yvW5l9W1hgE description=Determining the amplitude and period of sine and cosine functions./description type=video name=More trig graphs thumb=https://i.ytimg.com/vi/NIG3l8oWKYE/default.jpg URL=http://www.youtube.com/watch?v=NIG3l8oWKYE description=Determining the equations of trig functions by inspecting their graphs./description type=video name=Graphing trig functions thumb=https://i.ytimg.com/vi/vHYI93UV5Kg/default.jpg URL=http://www.youtube.com/watch?v=vHYI93UV5Kg description=Analyzing the amplitude and periods of the sine and cosine functions. Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/graphs_of_sine_and_cosine?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=Graphs of trig functions thumb=https://i.ytimg.com/vi/QmxMPPkZpME/default.jpg URL=http://www.youtube.com/watch?v=QmxMPPkZpME description=Exploring the graphs of trig functions/description type=video name=Graph of the sine function thumb=https://i.ytimg.com/vi/2zoiW4PdVKo/default.jpg URL=http://www.youtube.com/watch?v=2zoiW4PdVKo description=Using the unit circle definition of the sine function to make a graph of it./description type=video name=Unit Circle Definition of Trig Functions thumb=https://i.ytimg.com/vi/ZffZvSH285c/default.jpg URL=http://www.youtube.com/watch?v=ZffZvSH285c description=Using the unit circle to define the sine, cosine, and tangent functions/description type=video name=Using Trig Functions Part II thumb=https://i.ytimg.com/vi/RoXmKYjpLGk/default.jpg URL=http://www.youtube.com/watch?v=RoXmKYjpLGk description=A couple of more examples of using Trig functions to solve the sides of a triangle./description type=video name=Using Trig Functions thumb=https://i.ytimg.com/vi/znR9tW4AiZI/default.jpg URL=http://www.youtube.com/watch?v=znR9tW4AiZI description=Using Trigonometric functions to solve the sides of a right triangle/description type=video name=Radian and degree | Unit circle definition of trig functions | Trigonometry | Khan Academy thumb=https://i.ytimg.com/vi/9zspW8u6kQM/default.jpg URL=http://www.youtube.com/watch?v=9zspW8u6kQM description=What a radian is. Converting radians to degrees and vice versa. Watch the next lesson: https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/Trig-unit-circle/v/unit-circle-definition-of-trig-functions-1?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Missed the previous lesson? https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/radian-and-degree-conversion-practice?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Trigonometry channel: https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Basic Trigonometry II thumb=https://i.ytimg.com/vi/QS4r_mqs-rY/default.jpg URL=http://www.youtube.com/watch?v=QS4r_mqs-rY description=Another example of figuring out the sine, cosine, and tangent of an angle in a right triangle/description type=video name=Basic Trigonometry thumb=https://i.ytimg.com/vi/F21S9Wpi0y8/default.jpg URL=http://www.youtube.com/watch?v=F21S9Wpi0y8 description=An introduction to trigonometric functions: sine, cosine, and tangent. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=Quadratic inequalities (visual explanation) | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/xdiBjypYFRQ/default.jpg URL=http://www.youtube.com/watch?v=xdiBjypYFRQ description=How to solve a quadratic inequality. Visual intuition of what a quadratic inequality means. Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/v/terms-coefficients-and-exponents-in-a-polynomial?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_ineq/v/quadratic-inequalities?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to Logarithms thumb=https://i.ytimg.com/vi/mQTWzLpCcW0/default.jpg URL=http://www.youtube.com/watch?v=mQTWzLpCcW0 description=An introduction to logarithms About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything./description type=video name=30-60-90 Triangles II thumb=https://i.ytimg.com/vi/3mLUJSoh6i0/default.jpg URL=http://www.youtube.com/watch?v=3mLUJSoh6i0 description=More examples using 30-60-90 triangles. More free lessons at: http://www.khanacademy.org/video?v=3mLUJSoh6i0/description type=video name=Intro to 30-60-90 triangles | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/Qwet4cIpnCM/default.jpg URL=http://www.youtube.com/watch?v=Qwet4cIpnCM description=A few more 45-45-90 examples and an introduction to 30-60-90 triangles. Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/cc-geometry-trig/v/basic-trigonometry?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/45-45-90-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=45-45-90 triangles | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/tSHitjFIjd8/default.jpg URL=http://www.youtube.com/watch?v=tSHitjFIjd8 description=Introduction to 45-45-90 Triangles Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/intro-to-30-60-90-triangles?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/special_right_triangles/v/area-of-a-regular-hexagon?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Pythagorean theorem II | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/nMhJLn5ives/default.jpg URL=http://www.youtube.com/watch?v=nMhJLn5ives description=More Pythagorean Theorem examples. Introduction to 45-45-90 triangles. Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_th?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/introduction-to-the-pythagorean-theorem?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the Pythagorean theorem | Right triangles and trigonometry | Geometry | Khan Academy thumb=https://i.ytimg.com/vi/s9t7rNhaBp8/default.jpg URL=http://www.youtube.com/watch?v=s9t7rNhaBp8 description=Right triangles and the Pythagorean Theorem Watch the next lesson: https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-ii?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/math/geometry/right_triangles_topic/pyth_theor/v/pythagorean-theorem-3?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Geometry channel: https://www.youtube.com/channel/UCD3OtKxPRUFw8kzYlhJXa1Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=More percent problems | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/4oeoIOan_h4/default.jpg URL=http://www.youtube.com/watch?v=4oeoIOan_h4 description=Slightly harder percent problems Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/age-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/growing-by-a-percentage?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Taking percentages | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/_SpE4hQ8D_o/default.jpg URL=http://www.youtube.com/watch?v=_SpE4hQ8D_o description=Taking a percentage of a number. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/growing-by-a-percentage?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/averages?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Growing by a percentage | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/X2jVap1YgwI/default.jpg URL=http://www.youtube.com/watch?v=X2jVap1YgwI description=In this example we grow a whole number by a percentage of itself. Growing by percentage is a common skill often used when figuring how much is owed or earned with interest. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/more-percent-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/taking-percentages?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Percent and decimals thumb=https://i.ytimg.com/vi/RvtdJnYFNhc/default.jpg URL=http://www.youtube.com/watch?v=RvtdJnYFNhc description=Expressing percentages as decimals. Expressing decimals as percentages./description type=video name=Ordering numeric expressions | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Llt-KkHugRQ/default.jpg URL=http://www.youtube.com/watch?v=Llt-KkHugRQ description=Ordering numbers expressed as decimals, fractions, and percentages Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/e/converting_decimals_to_fractions_1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/taking-a-percentage-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/representing-a-number-as-a-decimal-percent-and-fraction-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mixed numbers and improper fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/1xuf6ZKF1_I/default.jpg URL=http://www.youtube.com/watch?v=1xuf6ZKF1_I description=Converting mixed numbers to improper fractions and improper fractions to mixed numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/e/converting_mixed_numbers_and_improper_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/proper-and-improper-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/comparing-improper-fractions-and-mixed-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Converting fractions to decimals | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/Gn2pdkvdbGQ/default.jpg URL=http://www.youtube.com/watch?v=Gn2pdkvdbGQ description=How to express a fraction as a decimal Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/converting_fractions_to_decimals?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals-ex2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Functions Part 2 thumb=https://i.ytimg.com/vi/XEblO51pF5I/default.jpg URL=http://www.youtube.com/watch?v=XEblO51pF5I description=More examples of solving function problems More free lessons at: http://www.khanacademy.org/video?v=XEblO51pF5I/description type=video name=Functions (Part III) thumb=https://i.ytimg.com/vi/5fcRSie63Hs/default.jpg URL=http://www.youtube.com/watch?v=5fcRSie63Hs description=Even more examples of function exercises. Introduction of a graph as definition of a function. More free lessons at: http://www.khanacademy.org/video?v=5fcRSie63Hs/description type=video name=Introduction to functions thumb=https://i.ytimg.com/vi/VhokQhjl5t0/default.jpg URL=http://www.youtube.com/watch?v=VhokQhjl5t0 description=An introduction to functions. More free lessons at: http://www.khanacademy.org/video?v=VhokQhjl5t0/description type=video name=Integer sums thumb=https://i.ytimg.com/vi/W254ewkkMck/default.jpg URL=http://www.youtube.com/watch?v=W254ewkkMck description=Adding sums of consecutive integers/description type=video name=Basic addition | Addition and subtraction | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/AuX7nPBqDts/default.jpg URL=http://www.youtube.com/watch?v=AuX7nPBqDts description=Introduction to addition. Multiple visual ways to represent addition. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/addition_1?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/arithmetic/addition-subtraction/basic_addition/v/basic-subtraction?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Level 2 Addition thumb=https://i.ytimg.com/vi/27Kp7HJYj2c/default.jpg URL=http://www.youtube.com/watch?v=27Kp7HJYj2c description=Adding a 2 digit number to a 1 digit number. Introduction to carrying. More free lessons at: http://www.khanacademy.org/video?v=27Kp7HJYj2c/description type=video name=Quadratic inequalities | Polynomial and rational functions | Algebra II | Khan Academy thumb=https://i.ytimg.com/vi/ZNtzWpU80-0/default.jpg URL=http://www.youtube.com/watch?v=ZNtzWpU80-0 description=Solving quadratic inequalities using factoring Watch the next lesson: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_ineq/v/quadratic-inequalities-visual-explanation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_formula_tutorial/v/discriminant-for-types-of-solutions-for-a-quadratic?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra: Solving Inequalities thumb=https://i.ytimg.com/vi/VgDe_D8ojxw/default.jpg URL=http://www.youtube.com/watch?v=VgDe_D8ojxw description=Solving linear inequalities./description type=video name=Why borrowing works thumb=https://i.ytimg.com/vi/fWan_T0enj4/default.jpg URL=http://www.youtube.com/watch?v=fWan_T0enj4 description=An explanation of why (not how) borrowing/regrouping works when subtracting numbers/description type=video name=Advanced ratio problems thumb=https://i.ytimg.com/vi/PASSD2OcU0c/default.jpg URL=http://www.youtube.com/watch?v=PASSD2OcU0c description=More advanced ratio problems More free lessons at: http://www.khanacademy.org/video?v=PASSD2OcU0c/description type=video name=Introduction to Ratios thumb=https://i.ytimg.com/vi/UsPmg_Ne1po/default.jpg URL=http://www.youtube.com/watch?v=UsPmg_Ne1po description=Basic ratio problems. (from KhanAcademy.org)/description type=video name=Averages | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/9VZsMY15xeU/default.jpg URL=http://www.youtube.com/watch?v=9VZsMY15xeU description=Introduction to averages and algebra problems involving averages. Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/taking-percentages?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Introduction to the quadratic equation | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/IWigvJcCAJ0/default.jpg URL=http://www.youtube.com/watch?v=IWigvJcCAJ0 description=Introduction to using the quadratic equation to solve 2nd degree polynomial equations Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/quadratic-equation-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-completing-the-square?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Quadratic equation part 2 | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/y19jYxzY8Y8/default.jpg URL=http://www.youtube.com/watch?v=y19jYxzY8Y8 description=2 more examples of solving equations using the quadratic equation Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/quadratic-formula-proof?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/introduction-to-the-quadratic-equation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=i and Imaginary numbers thumb=https://i.ytimg.com/vi/rDLDGQMKT3M/default.jpg URL=http://www.youtube.com/watch?v=rDLDGQMKT3M description=Introduction to i. Raising i to arbitrary exponents./description type=video name=Simplifying radicals | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/6QJtWfIiyZo/default.jpg URL=http://www.youtube.com/watch?v=6QJtWfIiyZo description=Using exponent rules to simplify radicals or square roots Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/simplifying_radicals?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/square-roots-and-real-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/radical-radicals/v/simplifying-square-roots-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent rules part 2 | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/rEtuPhl6930/default.jpg URL=http://www.youtube.com/watch?v=rEtuPhl6930 description=2 more exponent rules with an introduction to composite problems Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/e/exponent_rules?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/negative-exponents-tutorial/v/negative-exponents?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/v/exponent-rules-part-1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Exponent rules part 1 | Exponents, radicals, and scientific notation | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/kITJ6qH7jS0/default.jpg URL=http://www.youtube.com/watch?v=kITJ6qH7jS0 description=Introduction to exponent rules Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/exponent_rules?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/exponents-radicals/exponent-properties/v/exponent-rules-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/exponents-radicals/cube-root-tutorial/v/simplifying-radical-expressions1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Mulitplication 8: Multiplying decimals (Old video) thumb=https://i.ytimg.com/vi/m5z6pOsxF_8/default.jpg URL=http://www.youtube.com/watch?v=m5z6pOsxF_8 description=Multiplying decimals (www.khanacademy.org)/description type=video name=Adding Decimals (Old) thumb=https://i.ytimg.com/vi/SxZUFA2SGX8/default.jpg URL=http://www.youtube.com/watch?v=SxZUFA2SGX8 description=Adding decimals/description type=video name=Dividing decimals with hundredths example 3 | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/S0uuK7SQcA8/default.jpg URL=http://www.youtube.com/watch?v=S0uuK7SQcA8 description=The old saying is "practice makes perfect." Let's keep practicing dividing decimals and making our divisor a whole number. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/e/dividing_decimals_3?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/decimal-to-fraction-pre-alg/v/converting-fractions-to-decimals-ex1?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/dividing-decimals-pre-alg/v/dividing-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Level 4 division | Multiplication and division | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/gHTH6PKfpMc/default.jpg URL=http://www.youtube.com/watch?v=gHTH6PKfpMc description=Here's another practice example where you divide by two digits. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/e/division_3?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/lattice_multiplication/v/lattice-multiplication?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/dividing-by-a-two-digit-number?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Level 4 Subtraction thumb=https://i.ytimg.com/vi/omUfrXtHtN0/default.jpg URL=http://www.youtube.com/watch?v=omUfrXtHtN0 description=Subtraction of multi-digit numbers involving borrowing/description type=video name=Subtracting decimals (old) | Decimals | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/0mOH-qNGM7M/default.jpg URL=http://www.youtube.com/watch?v=0mOH-qNGM7M description=Subtracting decimal numbers Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/e/adding_and_subtracting_decimals_word_problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/multiplying-decimals-pre-alg/v/intro-to-multiplying-decimals?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/adding-decimals-pre-alg/v/subtracting-decimals-word-problem?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Unit conversion within the metric system | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/w0nqd_HXHPQ/default.jpg URL=http://www.youtube.com/watch?v=w0nqd_HXHPQ description=Metric unit conversion Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/converting-units?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/converting-within-the-metric-system?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/speed-translation?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Level 1 Exponents thumb=https://i.ytimg.com/vi/8htcZca0JIA/default.jpg URL=http://www.youtube.com/watch?v=8htcZca0JIA description=Basic Exponents/description type=video name=Speed translation | Ratios, proportions, units, and rates | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/aTjNDKlz8G4/default.jpg URL=http://www.youtube.com/watch?v=aTjNDKlz8G4 description=Translating speed units Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/metric-system-tutorial/v/unit-conversion?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/unit-conversion-with-fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Dividing fractions thumb=https://i.ytimg.com/vi/zQMU-lsMb3U/default.jpg URL=http://www.youtube.com/watch?v=zQMU-lsMb3U description=Dividing fractions/description type=video name=Multiplying fractions (old) thumb=https://i.ytimg.com/vi/Mnu16kCRW4U/default.jpg URL=http://www.youtube.com/watch?v=Mnu16kCRW4U description=Multiplying fractions/description type=video name=Adding and subtracting fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/52ZlXsFJULI/default.jpg URL=http://www.youtube.com/watch?v=52ZlXsFJULI description=How to add and subtract fractions. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/e/adding_fractions_with_common_denominators?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-with-unlike-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/fractions-unlike-denom-pre-alg/v/adding-fractions-with-10-and-100-as-denominators?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1/description type=video name=Multiplying and dividing negative numbers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/d8lP5tR2R3Q/default.jpg URL=http://www.youtube.com/watch?v=d8lP5tR2R3Q description=Multiplying and dividing negative numbers Watch the next lesson: https://www.khanacademy.org/math/arithmetic/absolute-value/abs_value_tutorial/v/absolute-value-and-number-lines?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/absolute-value/mult_div_negatives/v/multiplying-negative-real-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Adding/subtracting negative numbers | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/C38B33ZywWs/default.jpg URL=http://www.youtube.com/watch?v=C38B33ZywWs description=Adding and subtracting negative numbers Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/mult-div-negatives-pre-alg/v/multiplying-positive-and-negative-numbers?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/negatives-absolute-value-pre-alg/add-subtract-negatives-pre-alg/v/u09-l1-t2-we4-adding-real-numbers-application?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=systems of equations thumb=https://i.ytimg.com/vi/nok99JOhcjo/default.jpg URL=http://www.youtube.com/watch?v=nok99JOhcjo description=systems of equations More free lessons at: http://www.khanacademy.org/video?v=nok99JOhcjo/description type=video name=Algebra: Slope 3 thumb=https://i.ytimg.com/vi/8XffLj2zvf4/default.jpg URL=http://www.youtube.com/watch?v=8XffLj2zvf4 description=Part 3 of slope/description type=video name=Algebra: Slope 2 thumb=https://i.ytimg.com/vi/Kk9IDameJXk/default.jpg URL=http://www.youtube.com/watch?v=Kk9IDameJXk description=Second part of determining the slope of a line/description type=video name=Algebra: Slope thumb=https://i.ytimg.com/vi/hXP1Gv9IMBo/default.jpg URL=http://www.youtube.com/watch?v=hXP1Gv9IMBo description=Figuring out the slope of a line/description type=video name=Algebra: Slope and Y-intercept intuition thumb=https://i.ytimg.com/vi/Nhn-anmubYU/default.jpg URL=http://www.youtube.com/watch?v=Nhn-anmubYU description=Getting a feel for slope and y-intercept More free lessons at: http://www.khanacademy.org/video?v=Nhn-anmubYU/description type=video name=Algebra: graphing lines 1 thumb=https://i.ytimg.com/vi/2UrcUfBizyw/default.jpg URL=http://www.youtube.com/watch?v=2UrcUfBizyw description=Graphing linear equations More free lessons at: http://www.khanacademy.org/video?v=2UrcUfBizyw Practice this yourself on Khan Academy right now: https://www.khanacademy.org/e/graph-from-slope-intercept-equation?utm_source=YTdescription&utm_medium=YTdescription&utm_campaign=YTdescription/description type=video name=Age word problems 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/pPqPj8CAPvI/default.jpg URL=http://www.youtube.com/watch?v=pPqPj8CAPvI description=Second set of age word problems Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/age-word-problems-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/age-word-problems-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Age word problems 3 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/DplUpe3oyWo/default.jpg URL=http://www.youtube.com/watch?v=DplUpe3oyWo description=Part 3 of the presentation on age word problems Watch the next lesson: https://www.khanacademy.org/math/algebra/linear_inequalities/inequalities/v/inequalities-using-multiplication-and-division?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/age-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Age word problems 1 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/bAUT_Pux73w/default.jpg URL=http://www.youtube.com/watch?v=bAUT_Pux73w description=Age word problems Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/age-word-problems-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/more-percent-problems?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra: Equation of a line thumb=https://i.ytimg.com/vi/gvwKv6F69F0/default.jpg URL=http://www.youtube.com/watch?v=gvwKv6F69F0 description=Determining the equation of a line More free lessons at: http://www.khanacademy.org/video?v=gvwKv6F69F0/description type=video name=Level 3 exponents thumb=https://i.ytimg.com/vi/aYE26a5E1iU/default.jpg URL=http://www.youtube.com/watch?v=aYE26a5E1iU description=fractional exponents/description type=video name=Level 1 multiplying expressions thumb=https://i.ytimg.com/vi/Sc0e6xrRJYY/default.jpg URL=http://www.youtube.com/watch?v=Sc0e6xrRJYY description=(Ax+By)(Ax+By) More free lessons at: http://www.khanacademy.org/video?v=Sc0e6xrRJYY/description type=video name=Level 2 Exponents thumb=https://i.ytimg.com/vi/1Nt-t9YJM8k/default.jpg URL=http://www.youtube.com/watch?v=1Nt-t9YJM8k description=negative exponents/description type=video name=Level 1 Exponents thumb=https://i.ytimg.com/vi/OeOMYx5-Kzg/default.jpg URL=http://www.youtube.com/watch?v=OeOMYx5-Kzg description=Basic explanation of what an exponent is and some of its properties/description type=video name=Solving a quadratic by factoring | Quadratic equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/N30tN9158Kc/default.jpg URL=http://www.youtube.com/watch?v=N30tN9158Kc description=Factoring quadratics Watch the next lesson: https://www.khanacademy.org/math/algebra/quadratics/quadratic_odds_ends/v/ca-algebra-i-factoring-quadratics?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/quadratics/quadratic_inequalities/v/quadratic-inequalities-visual-explanation?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra: Linear equations 1 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/bAerID24QJ0/default.jpg URL=http://www.youtube.com/watch?v=bAerID24QJ0 description=Equations of the form AX=B Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/order-of-operations-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra: Linear equations 2 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/DopnmxeMt-s/default.jpg URL=http://www.youtube.com/watch?v=DopnmxeMt-s description=Solving equations of the form AX+B=C Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra: Linear equations 3 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/Zn-GbH2S0Dk/default.jpg URL=http://www.youtube.com/watch?v=Zn-GbH2S0Dk description=Linear equations with multiple variable and constant terms Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-4?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Algebra: Linear equations 4 | Linear equations | Algebra I | Khan Academy thumb=https://i.ytimg.com/vi/9IUEk9fn2Vs/default.jpg URL=http://www.youtube.com/watch?v=9IUEk9fn2Vs description=Solving linear equations with variable expressions in the denominators of fractions Watch the next lesson: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/averages?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Missed the previous lesson? https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/old-school-equations/v/algebra-linear-equations-3?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra channel: https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Equivalent fractions | Fractions | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/U2ovEuEUxXQ/default.jpg URL=http://www.youtube.com/watch?v=U2ovEuEUxXQ description=Introduces the concept of equivalent fractions Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/e/equivalent_fractions?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/equivalent-fractions-example?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/equivalent-fractions-pre-alg/v/fractions-in-lowest-terms?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Greatest common factor explained | Factors and multiples | Pre-Algebra | Khan Academy thumb=https://i.ytimg.com/vi/jFd-6EPfnec/default.jpg URL=http://www.youtube.com/watch?v=jFd-6EPfnec description=Here's a nice explanation of least common factor (or least common divisor) along with a few practice example exercises. Let's roll. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/e/greatest_common_divisor?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Watch the next lesson: https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/v/lcm-and-gcf-greatest-common-factor-word-problems?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Missed the previous lesson? https://www.khanacademy.org/math/pre-algebra/factors-multiples/greatest_common_divisor/v/greatest-common-divisor-factor-exercise?utm_source=YT&utm_medium=Desc&utm_campaign=PreAlgebra Pre-Algebra on Khan Academy: No way, this isn't your run of the mill arithmetic. This is Pre-algebra. You're about to play with the professionals. Think of pre-algebra as a runway. You're the airplane and algebra is your sunny vacation destination. Without the runway you're not going anywhere. Seriously, the foundation for all higher mathematics is laid with many of the concepts that we will introduce to you here: negative numbers, absolute value, factors, multiples, decimals, and fractions to name a few. So buckle up and move your seat into the upright position. We're about to take off! About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Pre-Algebra channel:: https://www.youtube.com/channel/UCIMlYkATtXOFswVoCZN7nAA?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description type=video name=Multiplication 7: Old video giving more examples | Arithmetic | Khan Academy thumb=https://i.ytimg.com/vi/_k3aWF6_b4w/default.jpg URL=http://www.youtube.com/watch?v=_k3aWF6_b4w description=2 examples of multiplying a 3 digit number times a 2 digit number. 1 example of multiplying a 3 digit number times a 3 digit number. Watch the next lesson: https://www.khanacademy.org/math/arithmetic/multiplication-division/long_division/v/division-2?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Missed the previous lesson? https://www.khanacademy.org/math/arithmetic/multiplication-division/multi_digit_multiplication/v/multiplying-whole-numbers-and-applications-4?utm_source=YT&utm_medium=Desc&utm_campaign=Arithmetic Arithmetic on Khan Academy: So you're ready to have some arithmetic fun? You've come to the right spot! It's the first "official" math topic and chalked full of fun exercises and great videos which help you start your journey towards math mastery. We'll cover the big ones: addition, subtraction, multiplication, and division, of course. But we don't stop there. We'll get into negative numbers, absolute value, decimals, and fractions, too. Learning math should be fun, and we plan on having some with you. Ready to get started? About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to KhanAcademy’s Arithmetic channel: https://www.youtube.com/channel/UCFlJkgTNeC-FYYIQnyE5yzQ?sub_confirmation=1 Subscribe to KhanAcademy: https://www.youtube.com/subscription_center?add_user=khanacademy/description